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Item 8. FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA

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Item 8. FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA

INDEX TO CONSOLIDATED FINANCIAL STATEMENTS

Page
Management’s Statement of Responsibility for Financial Statements64
Management’s Report on Internal Control Over Financial Reporting64
Report of Independent Registered Public Accounting Firm65
Audited Consolidated Financial Statements
Consolidated Statements of Income for the Years Ended December 31, 2019, 2018 and 201768
Consolidated Statements of Comprehensive Income for the Years Ended December 31, 2019, 2018 and 201769
Consolidated Balance Sheets as of December 31, 2019 and 201870
Consolidated Statements of Cash Flows for the Years Ended December 31, 2019, 2018 and 201771
Consolidated Statements of Equity for the Years Ended December 31, 2019, 2018 and 201773
Notes to Consolidated Financial Statements
Note 1. Formation of Linde plc and Business Combination of Praxair, Inc. and Linde AG75
Note 2. Summary of Significant Accounting Policies75
Note 3. Business Combination80
Note 4. Merger-Related Divestitures, Discontinued Operations and Net Assets Held for Sale85
Note 5. Cost Reduction Programs and Other Charges89
Note 6. Leases90
Note 7. Income Taxes91
Note 8. Earnings Per Share – Linde plc Shareholders97
Note 9. Supplemental Information97
Note 10. Property, Plant and Equipment – Net100
Note 11. Goodwill103
Note 12. Other Intangible Assets102
Note 13. Debt104
Note 14. Financial Instruments105
Note 15. Fair Value Disclosures109
Note 16. Equity and Noncontrolling Interests110
Note 17. Share-Based Compensation112
Note 18. Retirement Programs114
Note 19. Commitments and Contingencies123
Note 20. Segment Information125
Note 21. Revenue Recognition128
Note 22. Quarterly Data (Unaudited)131

MANAGEMENT’S STATEMENT OF RESPONSIBILITY FOR FINANCIAL STATEMENTS

Linde’s consolidated financial statements are prepared by management, which is responsible for their fairness, integrity and objectivity. The accompanying financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America applied on a consistent basis, except for accounting changes as disclosed, and include amounts that are estimates and judgments. All historical financial information in this annual report is consistent with the accompanying financial statements.

Linde maintains accounting systems, including internal accounting controls, monitored by a staff of internal auditors, that are designed to provide reasonable assurance of the reliability of financial records and the protection of assets. The concept of reasonable assurance is based on recognition that the cost of a system should not exceed the related benefits. The effectiveness of those systems depends primarily upon the careful selection of financial and other managers, clear delegation of authority and assignment of accountability, inculcation of high business ethics and conflict-of-interest standards, policies and procedures for coordinating the management of corporate resources, and the leadership and commitment of top management. In compliance with Section 404 of the Sarbanes-Oxley Act of 2002, Linde assessed its internal control over financial reporting and issued a report (see below).

The Audit Committee of the Board of Directors, which consists solely of non-employee directors, is responsible for overseeing the functioning of the accounting system and related controls and the preparation of annual financial statements. The Audit Committee periodically meets with management, internal auditors and the independent accountants to review and evaluate their accounting, auditing and financial reporting activities and responsibilities, including management’s assessment of internal control over financial reporting. The independent registered public accounting firm and internal auditors have full and free access to the Audit Committee and meet with the committee, with and without management present.

MANAGEMENT’S REPORT ON INTERNAL CONTROL OVER FINANCIAL REPORTING

Linde’s management is responsible for establishing and maintaining adequate internal control over financial reporting, as such term is defined in Exchange Act Rule 13a-15(f). Under the supervision and with the participation of management, including the company’s principal executive officer and principal financial officer, the company conducted an evaluation of the effectiveness of its internal control over financial reporting based on the framework in Internal Control – Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission (often referred to as COSO). Based on this evaluation, management concluded that the company’s internal control over financial reporting was effective as of December 31, 2019.

Linde’s evaluation of internal control over financial reporting as of December 31, 2019 did not include the internal control over financial reporting related to Linde AG which was acquired by Praxair in a merger accounted for as a business combination. In connection with its antitrust review of the transaction, the U.S. Federal Trade Commission (the “FTC”) imposed a Hold Separate Order (the “HSO”) on Linde that was lifted on March 1, 2019 after all required asset divestitures in the U.S. were completed. The HSO required the companies to continue to operate globally as separate and independent companies apart from each other in all material respects. As such, the HSO regulatory restrictions prohibited Linde from being able to perform procedures necessary to complete an overall assessment of Linde AG’s disparate internal control environment with operations in over 100 countries. Because of this, the assessment of Linde AG’s internal control environment could only begin after the HSO was terminated on March 1, 2019, and as such Linde AG has been excluded from the overall Linde internal control assessment as of December 31, 2019.

Total assets and sales for Linde AG represent approximately 23% and 62%, respectively, of the related consolidated financial statement amounts as of and for the year ended December 31, 2019.

PricewaterhouseCoopers LLP, an independent registered public accounting firm, has audited and issued their opinion on the effectiveness of the company’s internal control over financial reporting as of December 31, 2019 as stated in their report.

/s/ STEPHEN F. ANGEL/s/ KELCEY E. HOYT
Stephen F. Angel Chief Executive OfficerKelcey E. Hoyt Chief Accounting Officer
/s/ MATTHEW J. WHITE
Matthew J. White Chief Financial OfficerMarch 2, 2020

Report of Independent Registered Public Accounting Firm

To the Board of Directors and Shareholders of Linde plc

Opinions on the Financial Statements and Internal Control over Financial Reporting

We have audited the accompanying consolidated balance sheets of Linde plc and its subsidiaries (the “Company”) as of December 31, 2019 and 2018, and the related consolidated statements of income, of comprehensive income, of equity and of cash flows for each of the three years in the period ended December 31, 2019, including the related notes (collectively referred to as the “consolidated financial statements”). We also have audited the Company's internal control over financial reporting as of December 31, 2019, based on criteria established in Internal Control - Integrated Framework (2013) issued by the Committee of Sponsoring Organizations of the Treadway Commission (COSO).

In our opinion, the consolidated financial statements referred to above present fairly, in all material respects, the financial position of the Company as of December 31, 2019 and 2018, and the results of its operations and its cash flows for each of the three years in the period ended December 31, 2019 in conformity with accounting principles generally accepted in the United States of America. Also in our opinion, the Company maintained, in all material respects, effective internal control over financial reporting as of December 31, 2019, based on criteria established in Internal Control - Integrated Framework (2013) issued by the COSO.

Basis for Opinions

The Company's management is responsible for these consolidated financial statements, for maintaining effective internal control over financial reporting, and for its assessment of the effectiveness of internal control over financial reporting, included in the accompanying Management’s Report on Internal Control Over Financial Reporting. Our responsibility is to express opinions on the Company’s consolidated financial statements and on the Company's internal control over financial reporting based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) (PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.

We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audits to obtain reasonable assurance about whether the consolidated financial statements are free of material misstatement, whether due to error or fraud, and whether effective internal control over financial reporting was maintained in all material respects.

Our audits of the consolidated financial statements included performing procedures to assess the risks of material misstatement of the consolidated financial statements, whether due to error or fraud, and performing procedures that respond to those risks. Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the consolidated financial statements. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the consolidated financial statements. Our audit of internal control over financial reporting included obtaining an understanding of internal control over financial reporting, assessing the risk that a material weakness exists, and testing and evaluating the design and operating effectiveness of internal control based on the assessed risk. Our audits also included performing such other procedures as we considered necessary in the circumstances. We believe that our audits provide a reasonable basis for our opinions.

As described in Management’s Report on Internal Control over Financial Reporting, management has excluded Linde Aktiengesellschaft ("Linde AG") from its assessment of internal control over financial reporting as of December 31, 2019 because it was acquired in a merger accounted for as a business combination during 2018 and subject to a hold separate order issued by the U.S. Federal Trade Commission until March 2019. We have also excluded Linde AG from our audit of internal control over financial reporting. Linde AG is a wholly-owned subsidiary whose total assets and total sales excluded from management’s assessment and our audit of internal control over financial reporting represent approximately 23% and 62%, respectively, of the related consolidated financial statement amounts as of and for the year ended December 31, 2019.

Definition and Limitations of Internal Control over Financial Reporting

A company’s internal control over financial reporting is a process designed to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with

generally accepted accounting principles. A company’s internal control over financial reporting includes those policies and procedures that (i) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (ii) provide reasonable assurance that transactions are recorded as necessary to permit preparation of financial statements in accordance with generally accepted accounting principles, and that receipts and expenditures of the company are being made only in accordance with authorizations of management and directors of the company; and (iii) provide reasonable assurance regarding prevention or timely detection of unauthorized acquisition, use, or disposition of the company’s assets that could have a material effect on the financial statements.

Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. Also, projections of any evaluation of effectiveness to future periods are subject to the risk that controls may become inadequate because of changes in conditions, or that the degree of compliance with the policies or procedures may deteriorate.

Critical Audit Matters

The critical audit matters communicated below are matters arising from the current period audit of the consolidated financial statements that were communicated or required to be communicated to the audit committee and that (i) relate to accounts or disclosures that are material to the consolidated financial statements and (ii) involved our especially challenging, subjective, or complex judgments. The communication of critical audit matters does not alter in any way our opinion on the consolidated financial statements, taken as a whole, and we are not, by communicating the critical audit matters below, providing separate opinions on the critical audit matters or on the accounts or disclosures to which they relate.

Revenue Recognition - Estimated Costs at Completion

As described in Note 21 to the consolidated financial statements, $2,799 million of the Company’s total revenues for the year ended December 31, 2019 was generated from the sale of equipment contracts. Sale of equipment contracts are generally comprised of a single performance obligation. Revenue from sale of equipment is generally recognized over time as the Company has an enforceable right to payment for performance completed to date and performance does not create an asset with alternative use. For contracts recognized over time, revenue is recognized primarily using a cost incurred input method. Costs incurred to date relative to total estimated costs at completion are used to measure progress toward satisfying performance obligations. Costs incurred include material, labor, and overhead costs and represent work contributing and proportionate to the transfer of control to the customer.

The principal considerations for our determination that performing procedures relating to revenue recognition - estimated costs at completion is a critical audit matter are there was significant judgment by management when developing the estimated costs at completion for the sale of equipment contracts. This in turn led to a high degree of auditor judgment, subjectivity, and effort in performing procedures and evaluating audit evidence relating to the estimated costs at completion and management’s significant assumptions, including the estimated expected material and labor costs. In addition, the audit effort involved the use of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the audit evidence obtained.

Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures also included, among others, testing management’s process for developing the estimated costs at completion for the sale of equipment contracts and evaluating the reasonableness of management’s significant assumptions, including the estimated expected material and labor costs. Evaluating the reasonableness of management’s significant assumptions involved evaluating management’s ability to reasonably estimate costs at completion for the sale of equipment contracts on a sample basis by (i) performing a comparison of the originally estimated and actual costs incurred on similar completed equipment contracts, and (ii) evaluating the timely identification of circumstances that may warrant a modification to estimated costs at completion, including actual costs in excess of estimates. Professionals with specialized skill and knowledge were used to assist in evaluating management’s estimates and assumptions relating to the expected material and labor costs.

Goodwill Impairment Assessment

As described in Notes 2 and 11 to the consolidated financial statements, the Company’s consolidated goodwill balance was $27,019 million as of December 31, 2019. Management performs an impairment test annually, or more frequently if events or circumstances indicate that an impairment loss may have been incurred. The impairment test allows an entity to first assess qualitative factors to determine if it is more likely than not that the fair value of a reporting unit is less than its carrying value. If it is determined that it is more likely than not that the fair value of a reporting unit is less than its carrying

value then management will estimate and compare the fair value of the reporting unit to its carrying value, including goodwill. In estimating the fair value of each reporting unit, management applied a multiple of earnings from a peer group to the Company’s forecasted earnings for the year ending December 31, 2019. The peer group is comprised of comparable entities with similar operations and economic characteristics.

The principal considerations for our determination that performing procedures relating to the goodwill impairment assessment is a critical audit matter are there was significant judgment by management when developing the fair value measurement of the reporting units. This in turn led to a high degree of auditor judgment, subjectivity, and effort in performing procedures and evaluating audit evidence relating to management’s significant assumptions for the multiples of earnings from a peer group of comparable entities with similar operations and economic characteristics. In addition, the audit effort involved the use of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the audit evidence obtained.

Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to management’s goodwill impairment assessment, including controls over the valuation of the Company’s reporting units. These procedures also included, among others, i) testing management’s process for developing the fair value measurement of the reporting units, ii) evaluating the appropriateness of the multiples of earnings model, (iii) testing the completeness, accuracy, and relevance of underlying data used in the model, and (iv) evaluating management’s significant assumptions for the multiples of earnings from a peer group of comparable entities with similar operations and economic characteristics. Evaluating management’s assumptions related to the multiples of earnings involved evaluating whether the assumptions used by management were reasonable considering (i) the consistency with external market and industry data and (ii) whether the assumptions were consistent with evidence obtained in other areas of the audit. Professionals with specialized skill and knowledge were used to assist in the evaluation of the Company’s multiples of earnings model and significant assumptions for the multiples of earnings from a peer group of comparable entities with similar operations and economic characteristics.

/s/ PricewaterhouseCoopers LLP

Stamford, Connecticut

March 2, 2020

We have served as the Company’s or its predecessor’s auditor since 1992.

CONSOLIDATED STATEMENTS OF INCOME

LINDE PLC AND SUBSIDIARIES

(Dollar amounts in millions, except per share data)

Year Ended December 31,201920182017
Sales$28,228$14,836$11,358
Cost of sales, exclusive of depreciation and amortization16,6449,0206,382
Selling, general and administrative3,4571,6291,207
Depreciation and amortization4,6751,8301,184
Research and development18411393
Cost reduction programs and other charges56730952
Net gain on sale of businesses1643,294—
Other income (expenses) – net68184
Operating Profit2,9335,2472,444
Interest expense – net38202161
Net pension and OPEB cost (benefit), excluding service cost(32)(4)(4)
Income From Continuing Operations Before Income Taxes and Equity Investments2,9275,0492,287
Income taxes on continuing operations7698171,026
Income From Continuing Operations Before Equity Investments2,1584,2321,261
Income from equity investments1145647
Income From Continuing Operations (Including Noncontrolling Interests)2,2724,2881,308
Income from discontinued operations, net of tax109117—
Net Income (Including Noncontrolling Interests)2,3814,4051,308
Less: noncontrolling interests from continuing operations(89)(15)(61)
Less: noncontrolling interests from discontinued operations(7)(9)—
Net Income – Linde plc$2,285$4,381$1,247
Net Income – Linde plc
Income from continuing operations$2,183$4,273$1,247
Income from discontinued operations$102$108$—
Per Share Data – Linde plc Shareholders
Basic earnings per share from continuing operations$4.03$12.93$4.36
Basic earnings per share from discontinued operations0.190.33—
Basic earnings per share$4.22$13.26$4.36
Diluted earnings per share from continuing operations$4.00$12.79$4.32
Diluted earnings per share from discontinued operations0.190.32—
Diluted earnings per share$4.19$13.11$4.32
Weighted Average Shares Outstanding (000’s):
Basic shares outstanding541,094330,401286,261
Diluted shares outstanding545,170334,127289,114

The accompanying Notes are an integral part of these financial statements.

CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME

LINDE PLC AND SUBSIDIARIES

(Dollar amounts in millions)

Year Ended December 31,201920182017
NET INCOME (INCLUDING NONCONTROLLING INTERESTS)$2,381$4,405$1,308
OTHER COMPREHENSIVE INCOME (LOSS)
Translation adjustments:
Foreign currency translation adjustments118(401)433
Reclassifications to net income (Note 4)12318—
Income taxes3792
Translation adjustments133(76)525
Funded status - retirement obligations (Note 18):
Retirement program remeasurements(852)(260)(39)
Reclassifications to net income1549455
Income taxes154(55)(5)
Funded status - retirement obligations(544)(221)11
Derivative instruments (Note 14):
Current year unrealized gain (loss)(32)——
Reclassifications to net income—(1)—
Income taxes7——
Derivative instruments(25)(1)—
Securities (Note 9):
Current year unrealized gain (loss)1(1)—
Reclassifications to net income———
Income taxes———
Securities1(1)—
TOTAL OTHER COMPREHENSIVE INCOME (LOSS)(435)(299)536
COMPREHENSIVE INCOME (INCLUDING NONCONTROLLING INTERESTS)1,9464,1061,844
Less: noncontrolling interests(19)(83)(95)
COMPREHENSIVE INCOME - LINDE PLC$1,927$4,023$1,749

The accompanying Notes are an integral part of these financial statements.

CONSOLIDATED BALANCE SHEETS

LINDE PLC AND SUBSIDIARIES

(Dollar amounts in millions)

December 31,20192018
Assets
Cash and cash equivalents$2,700$4,466
Accounts receivable – net4,3224,297
Contract assets368283
Inventories1,6971,651
Assets held for sale1255,498
Prepaid and other current assets1,1401,077
Total Current Assets10,35217,272
Property, plant and equipment – net29,06429,717
Equity investments2,0271,838
Goodwill27,01926,874
Other intangible assets – net16,13716,223
Other long-term assets2,0131,462
Total Assets$86,612$93,386
Liabilities and Equity
Accounts payable$3,266$3,219
Short-term debt1,7321,485
Current portion of long-term debt1,5311,523
Contract liabilities1,7581,546
Accrued taxes370657
Liabilities of assets held for sale2768
Other current liabilities3,5013,758
Total Current Liabilities12,16012,956
Long-term debt10,69312,288
Other long-term liabilities4,8883,435
Deferred credits7,2367,611
Total Liabilities34,97736,290
Commitments and contingencies (Note 19)
Redeemable noncontrolling interests11316
Linde plc Shareholders’ Equity:
Ordinary shares (€0.001 par value, authorized 1,750,000,000 shares, 2019 issued: 552,012,862 ordinary shares; 2018 issued: 551,310,272 ordinary shares)11
Additional paid-in capital40,20140,151
Retained earnings16,84216,529
Accumulated other comprehensive income (loss)(4,814)(4,456)
Less: Treasury stock, at cost (2019 – 17,632,318 shares and 2018 – 4,068,642 shares)(3,156)(629)
Total Linde plc Shareholders’ Equity49,07451,596
Noncontrolling interests2,4485,484
Total Equity51,52257,080
Total Liabilities and Equity$86,612$93,386

The accompanying Notes are an integral part of these financial statements.

CONSOLIDATED STATEMENTS OF CASH FLOWS

LINDE PLC AND SUBSIDIARIES

(Millions of dollars)

Year Ended December 31,201920182017
Increase (Decrease) in Cash and Cash Equivalents
Operations
Net income – Linde plc$2,285$4,381$1,247
Less: income from discontinued operations, net of tax and noncontrolling interests(102)(108)—
Add: Noncontrolling interests from continuing operations891561
Income from continuing operations (including noncontrolling interests)$2,272$4,288$1,308
Adjustments to reconcile net income to net cash provided by operating activities:
Cost Reduction Programs and other charges, net of payments(236)4026
Amortization of merger-related inventory step-up12368—
Tax Act income tax charge, net—(61)394
Depreciation and amortization4,6751,8301,184
Deferred income taxes, excluding Tax Act(303)(187)136
Share-based compensation956259
Net gain on sale of businesses, net of tax(108)(2,923)—
Non-cash charges and other(127)17543
Working capital
Accounts receivable80(124)(92)
Contract assets and liabilities, net87——
Inventory(81)(4)(22)
Prepaid and other current assets(72)43(66)
Payables and accruals(174)28722
Pension contributions(94)(87)(19)
Long-term assets, liabilities and other93(53)68
Net cash provided by operating activities6,1193,6543,041
Investing
Capital expenditures(3,682)(1,883)(1,311)
Acquisitions, net of cash acquired(225)(25)(33)
Divestitures and asset sales, net of cash divested5,0965,90830
Cash acquired in merger transaction—1,363—
Net cash provided by (used for) investing activities1,1895,363(1,314)
Financing
Short-term debt borrowings (repayments) – net224208(199)
Long-term debt borrowings99811
Long-term debt repayments(1,583)(3,124)(583)
Issuances of ordinary shares7277120
Purchases of ordinary shares(2,658)(599)(12)
Cash dividends – Linde plc shareholders(1,891)(1,166)(901)
Noncontrolling interest transactions and other(3,260)(402)(92)
Net cash used for financing activities(8,997)(4,998)(1,656)
Discontinued Operations
Cash provided by operating activities$69$48$—
Cash used for investing activities(60)(23)—
Cash provided by financing activities52—
Net cash provided by discontinued operations1427—
Effect of exchange rate changes on cash and cash equivalents(77)(60)22
Change in cash and cash equivalents(1,752)3,98693
Cash and cash equivalents, beginning-of-period4,466617524
Cash and cash equivalents, including discontinued operations$2,714$4,603$617
Cash and cash equivalents of discontinued operations(14)(137)—
Cash and cash equivalents, end-of-period$2,700$4,466$617
Supplemental Data
Income taxes paid$1,357$757$565
Interest paid, net of capitalized interest (Note 9)$275$214$184

The accompanying Notes are an integral part of these financial statements.

CONSOLIDATED STATEMENTS OF EQUITY

LINDE PLC AND SUBSIDIARIES

(Dollar amounts in millions, except per share data, shares in thousands)

Linde plc Shareholders’ Equity
Ordinary sharesAdditional Paid-in CapitalRetained EarningsAccumulated Other Comprehensive Income (Loss) (Note 9)Treasury StockLinde plc Shareholders’ EquityNoncontrolling InterestsTotal Equity
ActivitySharesAmountsSharesAmounts
Balance, December 31, 2016383,231$4$4,074$12,879$(4,600)98,330$(7,336)$5,021$420$5,441
Net Income1,2471,247591,306
Other comprehensive income (loss)50250234536
Noncontrolling interests:
Dividends and other capital reductions—(35)(35)
Additions (Reductions)—1515
Redemption value adjustments (Note 16)(1)(1)(1)
Dividends ($3.15 per common share)(901)(901)(901)
Issuances of common stock:
For the dividend reinvestment and stock purchase plan(50)777
For employee savings and incentive plans(49)(1,835)1348585
Purchases of common stock9(1)(1)(1)
Share-based compensation595959
Balance, December 31, 2017383,231$4$4,084$13,224$(4,098)96,454$(7,196)$6,018$493$6,511
Net Income4,3814,381214,402
Other comprehensive income (loss)(265)(265)59(206)
Noncontrolling interests:
Dividends and other capital reductions—(49)(49)
Additions (Reductions)(127)(127)(186)(313)
Redemption value adjustments (Note 16)(3)(3)(3)
Dividends ($3.30 per common share)(1,166)(1,166)(1,166)
Linde plc Shareholders’ Equity
Ordinary sharesAdditional Paid-in CapitalRetained EarningsAccumulated Other Comprehensive Income (Loss) (Note 9)Treasury StockLinde plc Shareholders’ EquityNoncontrolling InterestsTotal Equity
ActivitySharesAmountsSharesAmounts
Issuances of common stock:
For the dividend reinvestment and stock purchase plan(31)555
For employee savings and incentive plans255—(46)(1,109)793333
Purchases of common stock4,079(630)(630)(630)
Share-based compensation626262
Tax Act Reclassification (Note 7)$93$(93)$—$—
Impact of merger (Notes 3 and 16)167,824$(3)$36,178(95,324)$7,113$43,288$5,146$48,434
Balance, December 31, 2018551,310$1$40,151$16,529$(4,456)4,069$(629)$51,596$5,484$57,080
Net Income available for Linde plc shareholders2,2852,285942,379
Other comprehensive loss(358)(358)(77)(435)
Noncontrolling interests:
Dividends and other capital reductions—(132)(132)
Additions (Reductions) - (Note 16)—(2,921)(2,921)
Redemption value adjustments (Note 16)(8)(8)(8)
Dividends ($3.50 per common share)(1,891)(1,891)(1,891)
Issuances of ordinary shares:
For the dividend reinvestment and stock purchase plan
For employee savings and incentive plans703—(45)(73)(770)12799
Purchases of ordinary shares14,333(2,654)(2,654)(2,654)
Share-based compensation959595
Balance, December 31, 2019552,013$1$40,201$16,842$(4,814)17,632$(3,156)$49,074$2,448$51,522

The accompanying Notes are an integral part of these financial statements

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

LINDE PLC AND SUBSIDIARIES

NOTE 1. FORMATION OF LINDE PLC AND BUSINESS COMBINATION OF PRAXAIR, INC. AND LINDE AG

Formation of Linde plc

Linde plc ("Linde" or “the company”), a public limited company incorporated in Ireland, was formed in accordance with the requirements of the business combination agreement, dated as of June 1, 2017, as amended (the “business combination agreement”). Pursuant to the business combination agreement, among other things, Praxair, Inc., a Delaware corporation (“Praxair”), and Linde Aktiengesellschaft, a stock corporation incorporated under the laws of Germany (“Linde AG”), agreed to combine their respective businesses through an all-stock transaction, and become subsidiaries of the company (collectively referred to as “business combination” or “merger”). On October 31, 2018, Linde completed the business combination. Prior to the business combination, the company did not conduct any business activities other than those required for its formation and matters contemplated by the business combination agreement.

Business Combination of Praxair, Inc. and Linde AG

The business combination has been accounted for using the acquisition method of accounting in accordance with the provisions of the Financial Accounting Standards Board (“FASB”) Accounting Standards Codification ("ASC") 805, “Business Combinations”, with Praxair representing the accounting acquirer. Pursuant to Rule 12g-3(a) under the Exchange Act, as of October 31, 2018, the company became the successor issuer to Praxair. Also, the Linde shares are deemed to be registered under Section 12(b) of the Exchange Act, and the company is subject to the informational requirements of the Exchange Act and the rules and regulations promulgated thereunder. The Linde shares trade on the New York Stock Exchange ("NYSE") and the Frankfurt Stock Exchange under the ticker symbol “LIN”. Prior to the business combination, the Praxair shares were registered pursuant to Section 12(b) of the Exchange Act and listed on the NYSE. In connection with the completion of the business combination, the Praxair shares were suspended from trading on the NYSE as of close of business (New York Time) on October 30, 2018. On November 1, 2018, Praxair filed a Form 25 to de-list and de-register its three series of Euro-denominated notes, including its 1.50%Notes due 2020, 1.20% Notes due 2024 and 1.625% Notes due 2025, that were listed on the NYSE. Trading of the Euro-denominated notes on the NYSE was suspended as of close of business (New York Time) on November 9, 2018, and Praxair filed a Form 15 with the SEC terminating the registration under the Exchange Act of its securities and suspending Praxair’s reporting obligations under Section 15(d) of the Exchange Act.

In connection with the business combination, the company, Praxair and Linde AG entered into various agreements with regulatory authorities to satisfy anti-trust requirements to secure approval to consummate the business combination. These agreements included the sale of the majority of Praxair’s European businesses (completed on December 3, 2018), the majority of Linde AG’s Americas business (completed on March 1, 2019), select assets of Linde AG's South Korean industrial gases business (completed April 30, 2019), select assets of Praxair's Indian industrial gases business (completed July 12, 2019), select assets of Linde AG's Indian industrial gases business (completed December 16, 2019) as well as certain divestitures of other Praxair and Linde AG businesses in Asia that are currently expected to be sold in 2020 (collectively, the “merger-related divestitures”). See Note 4 for additional information relating to merger-related divestitures.

Additionally, to obtain merger approval in the United States Linde, Praxair and Linde AG entered into an agreement with the U.S. Federal Trade Commission ("FTC") dated October 1, 2018 (“hold separate order” or “HSO”). Under the HSO, the company, Praxair and Linde AG agreed to continue to operate Linde AG and Praxair as independent, ongoing, economically viable, competitive businesses held separate, distinct, and apart from each other’s operations; and not coordinate any aspect of their operations until certain divestitures in the United States were completed. Accordingly, Linde had accounted for Linde AG as a separate segment for 2018 reporting purposes effective with the merger date. Prior to the merger date, the company’s Linde AG segment did not exist. Since the FTC hold separate order restrictions were lifted effective March 1, 2019, the company subsequently implemented a new segment structure as follows: Americas, EMEA (Europe/Middle East/Africa), APAC (Asia/South Pacific) and Engineering. This new management organization structure was implemented during the first quarter 2019 and, accordingly, segment information has been retrospectively recast for all prior periods. Refer to Note 20 Segment Information for further details.

NOTE 2. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

Principles of Consolidation – The consolidated financial statements were prepared in conformity with accounting principles generally accepted in the United States of America (" U.S. GAAP") and include the accounts of all significant subsidiaries where control exists and, in limited situations, variable-interest entities where the company is the primary

beneficiary. Intercompany transactions and balances are eliminated in consolidation and any significant related-party transactions have been disclosed.

Equity investments generally consist of 20% to 50% owned operations where the company exercises significant influence, but does not have control. Equity income from equity investments in corporations is reported on an after-tax basis. Pre-tax income from equity investments that are partnerships or limited-liability corporations ("LLC") is included in other income (expenses) – net with related taxes included in Income taxes. Equity investments are reviewed for impairment whenever events or circumstances reflect that an impairment loss may have incurred.

Changes in ownership interest that result either in consolidation or deconsolidation of an investment are recorded at fair value through earnings, including the retained ownership interest, while changes that do not result in either consolidation or deconsolidation of a subsidiary are treated as equity transactions.

Use of Estimates – The preparation of financial statements in conformity with U.S. GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and the disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. While actual results could differ, management believes such estimates to be reasonable.

Operations – Linde is the largest industrial gases company globally. The company produces, sells and distributes atmospheric, process and specialty gases, and high-performance surface coatings to a diverse group of industries including aerospace, chemicals, food and beverage, electronics, energy, healthcare, manufacturing, and metals. Linde’s Engineering business offers its customers an extensive range of gas production and processing services including suppling plant components and services directly to customers.

Revenue Recognition – Effective January 1, 2018, Linde adopted the FASB's Accounting Standards Update No. 2014-09 ("ASC 606") relating to Revenue Recognition. Revenue is recognized as control of goods or services are transferred to customers in an amount that reflects the consideration to which an entity expects to be entitled to receive in exchange for the goods or services. See Note 21 for additional details regarding Linde's revenue recognition policies. The adoption of ASC 606 resulted in no differences in revenue recognition compared to previous policies.

Cash Equivalents – Cash equivalents are considered to be highly liquid securities with original maturities of three months or less.

Inventories – Inventories are stated at the lower of cost or net realizable value. Cost is determined using the average-cost method.

Property, Plant and Equipment – Net – Property, plant and equipment are carried at cost, net of accumulated depreciation. The company capitalizes interest as part of the cost of constructing major facilities (see Note 10). Depreciation is calculated on the straight-line method based on the estimated useful lives of the assets, which range from 3 years to 40 years (see Note 10). Linde uses accelerated depreciation methods for tax purposes where appropriate. Maintenance of property, plant and equipment is generally expensed as incurred.

The company performs a test for impairment whenever events or changes in circumstances indicate that the carrying amount of an individual asset or asset group may not be recoverable. Should projected undiscounted future cash flows be less than the carrying amount of the asset or asset group, an impairment charge reducing the carrying amount to fair value is required. Fair value is determined based on the most appropriate valuation technique, including discounted cash flows.

Asset-Retirement Obligations – An asset-retirement obligation is recognized in the period in which sufficient information exists to determine the fair value of the liability with a corresponding increase to the carrying amount of the related property, plant and equipment which is then depreciated over its useful life. The liability is initially measured at discounted fair value and then accretion expense is recorded in each subsequent period. The company’s asset-retirement obligations are primarily associated with its on-site long-term supply arrangements where the company has built a facility on land leased from the customer and is obligated to remove the facility at the end of the contract term. The company's asset-retirement obligations are not material to its consolidated financial statements.

Foreign Currency Translation – For most foreign operations, the local currency is the functional currency and translation gains and losses are reported as part of the accumulated other comprehensive income (loss) component of equity as a cumulative translation adjustment (see Note 9).

Financial Instruments – Linde enters into various derivative financial instruments to manage its exposure to fluctuating interest rates, currency exchange rates, commodity pricing and energy costs. Such instruments primarily include interest-rate swap and treasury rate lock agreements; currency-swap agreements; forward contracts; currency options; and commodity-swap agreements. These instruments are not entered into for trading purposes. Linde only uses commonly traded and non-leveraged instruments.

There are three types of derivatives the company enters into: (i) those relating to fair-value exposures, (ii) those relating to cash-flow exposures, and (iii) those relating to foreign currency net investment exposures. Fair-value exposures relate to recognized assets or liabilities, and firm commitments; cash-flow exposures relate to the variability of future cash flows associated with recognized assets or liabilities, or forecasted transactions; and net investment exposures relate to the impact of foreign currency exchange rate changes on the carrying value of net assets denominated in foreign currencies.

When a derivative is executed and hedge accounting is appropriate, it is designated as either a fair-value hedge, cash-flow hedge, or a net investment hedge. Currently, Linde designates all interest-rate and treasury rate locks as hedges for accounting purposes; however, currency contracts are generally not designated as hedges for accounting purposes unless they are related to forecasted transactions. Whether designated as hedges for accounting purposes or not, all derivatives are linked to an appropriate underlying exposure. On an ongoing basis, the company assesses the hedge effectiveness of all derivatives designated as hedges for accounting purposes to determine if they continue to be highly effective in offsetting changes in fair values or cash flows of the underlying hedged items. If it is determined that the hedge is not highly effective, then hedge accounting will be discontinued prospectively.

Changes in the fair value of derivatives designated as fair-value hedges are recognized in earnings as an offset to the change in the fair values of the underlying exposures being hedged. The changes in fair value of derivatives that are designated as cash-flow hedges are deferred in accumulated other comprehensive income (loss) and are reclassified to earnings as the underlying hedged transaction affects earnings. Provided the hedge remains highly effective, any ineffectiveness is deferred in accumulated other comprehensive income (loss) and are reclassified to earnings as the underlying hedged transaction affects earnings. Hedges of net investments in foreign subsidiaries are recognized in the cumulative translation adjustment component of accumulated other comprehensive income (loss) on the consolidated balance sheets to offset translation gains and losses associated with the hedged net investment. Derivatives that are entered into for risk-management purposes and are not designated as hedges (primarily related to anticipated net income and currency derivatives other than for firm commitments) are recorded at their fair market values and recognized in current earnings.

See Note 14 for additional information relating to financial instruments.

Goodwill – Acquisitions are accounted for using the acquisition method which requires allocation of the purchase price to assets acquired and liabilities assumed based on estimated fair values. Any excess of the purchase price over the fair value of the assets and liabilities acquired is recorded as goodwill. Allocations of the purchase price are based on preliminary estimates and assumptions at the date of acquisition and are subject to revision based on final information received, including appraisals and other analyses which support underlying estimates.

The company performs a goodwill impairment test annually or more frequently if events or circumstances indicate that an impairment loss may have been incurred. During the fourth quarter of fiscal year 2019, the company changed the date of its annual goodwill impairment test from April 30 to October 1. The change was made to more closely align the impairment testing date with the company’s planning process.

The impairment test allows an entity to first assess qualitative factors to determine if it is more likely than not that the fair value of a reporting unit is less than carrying value. If it is determined that it is more likely than not that the fair value of a reporting unit is less than carrying value then the company will estimate and compare the fair value of its reporting units to their carrying value, including goodwill. Reporting units are determined based on one level below the operating segment level. In estimating the fair value of each reporting unit, management applied a multiple of earnings from a peer group to the company’s forecasted earnings for the year ending December 31, 2019. The peer group is comprised of comparable entities with similar operations and economic characteristics.

See Notes 3 and 11 for additional information relating to goodwill.

Other Intangible Assets – Other intangible assets, primarily customer relationships and brands/tradenames, are amortized over the estimated period of benefit. The determination of the estimated period of benefit will be dependent upon the use and underlying characteristics of the intangible asset. Linde evaluates the recoverability of its intangible assets subject to amortization when facts and circumstances indicate that the carrying value of the asset may not be recoverable. If the carrying value is not recoverable, impairment is measured as the amount by which the carrying value exceeds its estimated fair value. Fair value is generally estimated based on either appraised value or other valuation techniques. Indefinite lived intangible assets related to the Linde brand are evaluated for impairment on an annual basis or more frequently if events or circumstances indicate an impairment loss may have occurred.

See Notes 3 and 12 for additional information relating to other intangible assets.

Assets Held for Sale and Discontinued Operations – Assets held for sale, as well as liabilities directly related to these assets, are classified separately in the consolidated balance sheets as held for sale if the requirements of the FASB’s Accounting Standards Codification (“ASC”) 360, Property, Plant and Equipment, are satisfied. The main requirements of

ASC 360 are: (i) management having the authority to approve the action has committed to a plan to sell the assets and an active program to locate a buyer has been initiated, (ii) the assets are available for sale in their present condition at a reasonable market price, and (iii) a sale within the next twelve months is probable. Assets classified as held for sale are measured at the lower of carrying amount and fair value less costs to sell. Amortization and depreciation has been discontinued. The process involved in determining the fair value less costs to sell involves estimates and assumptions that are subject to uncertainty.

Discontinued operations are reported as soon as a business is classified as held for sale, or has already been disposed of, and when the business to be disposed of represents a strategic shift that has (or will have) a major effect on the company’s operations and financial results. Businesses acquired with the intent of divesting are also required to be reported as discontinued operations. The profit/loss from discontinued operations is reported separately from the expenses and income from continuing operations in the consolidated statements of income. In the consolidated statement of cash flows, the cash flows from discontinued operations are shown separately from the cash flows from continuing operations. The information provided in the Notes relates to continuing operations. If the information relates exclusively to discontinued operations, this is highlighted accordingly.

See Note 4 for additional information relating to assets held for sale and discontinued operations.

Income Taxes – Deferred income taxes are recorded for the temporary differences between the financial statement and tax bases of assets and liabilities using currently enacted tax rates. Valuation allowances are established against deferred tax assets whenever circumstances indicate that it is more likely than not that such assets will not be realized in future periods.

Under the guidance for accounting for uncertainty in income taxes, the company can recognize the benefit of an income tax position only if it is more likely than not (greater than 50%) that the tax position will be sustained upon tax examination, based solely on the technical merits of the tax position. Otherwise, no benefit can be recognized. The tax benefits recognized are measured based on the largest benefit that has a greater than 50% likelihood of being realized upon ultimate settlement. Additionally, the company accrues interest and related penalties, if applicable, on all tax exposures for which reserves have been established consistent with jurisdictional tax laws. Interest and penalties are classified as income tax expense in the financial statements.

See Note 7 for additional information relating to income taxes, including the U.S. Tax Cuts and Jobs Act enacted in December 2017.

Retirement Benefits – Most Linde employees participate in a form of defined benefit or contribution retirement plan, and additionally certain employees are eligible to participate in various post-employment health care and life insurance benefit plans. The cost of contribution plans is recognized in the year earned while the cost of other plans is recognized over the employees’ expected service period to the company, all in accordance with the applicable accounting standards. The funded status of the plans is recorded as an asset or liability in the consolidated balance sheets. Funding of retirement benefits varies and is in accordance with local laws and practices.

See Note 18 for additional information relating to retirement programs.

Share-based Compensation*–* The company has historically granted share-based awards which consist of stock options, restricted stock and performance-based stock. Share-based compensation expense is generally recognized on a straight-line basis over the stated vesting period. For stock awards granted to full-retirement-eligible employees, compensation expense is recognized over the period from the grant date to the date retirement eligibility is achieved. For performance-based awards, compensation expense is recognized only if it is probable that the performance condition will be achieved.

See Note 17 for additional disclosures relating to share-based compensation.

Reclassifications – Certain prior years’ amounts have been reclassified to conform to the current year’s presentation.

Segment Presentation Change - As a result of the merger and effective with the lifting of the hold separate order in March 2019, new reportable segments were implemented. The new segments are: Americas, EMEA (Europe/Middle East/Africa), APAC (Asia/South Pacific); and Engineering. All periods presented were recast to conform to the new segment structure. See Note 20.

Recently Issued Accounting Standards

Accounting Standards Implemented in 2019

•Leases – In February 2016, the FASB issued updated guidance on the accounting and financial statement presentation of leases. The new guidance requires lessees to recognize a right-of-use asset and lease liability for all leases, except those that meet certain scope exceptions, and requires expanded quantitative and qualitative disclosures. This guidance is effective beginning in 2019 and requires companies to transition using a modified retrospective approach. Linde has applied the practical expedient which allows prospective transition to the new lease accounting standard on January 1, 2019. The company elected the package of practical expedients relating to the reassessment of the lease portfolio pertaining to (i) whether expiring or existing contracts contain lease components, (ii) lease classification under ASC 842 and (iii) whether initial direct costs were capitalized under ASC 840. The company further implemented internal controls and key system functionality to enable the preparation of financial information on adoption.

The standard had an immaterial impact on our consolidated balance sheets and consolidated income statements. The most significant impact was the recognition of right of use ("ROU") assets and lease liabilities for operating leases, while the accounting for finance leases remained substantially unchanged. The company recognized both right of use assets and lease liabilities of $1.2 billion upon adoption. The adoption of the new lease accounting standard had no impact on retained earnings (See Note 6).

•Derivatives and Hedging - In August 2017, the FASB issued updated guidance on accounting for hedging activities. The new guidance simplifies hedge effectiveness documentation requirements, changes both the designation and measurement for qualifying hedging relationships and the presentation of hedge results. This guidance was effective for the company beginning in the first quarter of 2019. The adoption of the standard had an immaterial impact on the consolidated financial statements.

Accounting Standards to be Implemented

•Credit Losses on Financial Instruments – In June 2016, the FASB issued an update on the measurement of credit losses. The guidance introduces a new accounting model for expected credit losses on financial instruments, including trade receivables, based on estimates of current expected credit losses. This guidance will be effective for the company beginning in the first quarter 2020 and requires companies to apply the change in accounting on a prospective basis. The company is currently evaluating the impact this update will have on the consolidated financial statements and does not expect this guidance to have a material impact.
•Simplifying the Test for Goodwill Impairment – In January 2017, the FASB issued updated guidance on the measurement of goodwill. The new guidance eliminates the requirement to calculate the implied fair value of goodwill to measure a goodwill impairment charge. The guidance will be effective for the company beginning in the first quarter 2020 with early adoption permitted. The company does not expect this guidance to have a material impact.
•Fair Value Measurement Disclosures - In August 2018, the FASB issued guidance that modifies the disclosure requirements for fair value measurements. The guidance is effective in fiscal year 2020, with early adoption permitted. Certain amendments must be applied prospectively while other amendments must be applied retrospectively. The company is evaluating the impact this guidance will have on the disclosures in the notes to the consolidated financial statements.
•Retirement Benefit Disclosures - In August 2018, the FASB issued guidance that modifies the disclosure requirements for employers that sponsor defined benefit pension or other postretirement benefit plans. The guidance is effective in fiscal year 2021, with early adoption permitted, and must be applied on a retrospective basis. The company is evaluating the impact this guidance will have on the disclosures in the notes to the consolidated financial statements.

NOTE 3. BUSINESS COMBINATION

Merger of Praxair, Inc. and Linde AG

As described in Note 1, on October 31, 2018 Praxair and Linde AG combined their respective businesses through an all-stock transaction and became subsidiaries of the company.

In connection with the business combination, each share of common stock of Praxair par value $0.01 per share, (excluding any shares held in treasury immediately prior to the effective time of the merger, which were automatically canceled and retired for no consideration) was converted into one ordinary share, par value €0.001 per share, of Linde plc. Additionally, each tendered share of common stock of Linde AG was converted into 1.54 ordinary shares of Linde plc.

As provided in the business combination agreement, at the effective time of the business combination outstanding Praxair stock options and other equity awards were generally converted into stock options and equity awards on a 1:1 basis with respect to Linde shares. Outstanding Linde AG share-based compensation awards were either settled in cash (for the portion vested), or were converted into similar stock options and equity awards with respect to Linde shares (for the portion unvested), after giving effect to the 1.54 exchange ratio. See Notes 16 and 17 for additional information.

Allocation of Purchase Price

In accordance with the FASB’s ASC 805, "Business Combinations", Praxair was determined to be the accounting acquirer. As such, the company has applied the acquisition method of accounting with respect to the identifiable assets and liabilities of Linde AG, which have been measured at fair value as of the date of the business combination.

In accordance with the business combination agreement, Linde AG shareholders that accepted the exchange offer received Linde shares in exchange for Linde AG shares at an exchange ratio of 1.54 Linde shares for each Linde AG share. Because Praxair is the accounting acquirer, the fair value of the equity issued by Linde plc to Linde AG shareholders in the exchange transaction was determined by reference to the market price of Praxair shares. Accordingly, the purchase consideration below reflects the estimated fair value of the 92% of Linde AG shares tendered and Linde shares issued in exchange for those Linde AG shares, which is based on the final closing price of Praxair shares prior to the effective time of the merger on October 31, 2018 of $164.50 per share.

The purchase price and fair value of Linde AG’s net assets acquired as of the merger date on October 31, 2018 is presented as follows:

(in thousands, except value per share data, Linde AG exchange ratio, and purchase price)
Linde AG common stock tendered as of October 31, 2018 (i)170,875 Shares
Business combination agreement exchange ratio (ii)1.54 : 1
Linde plc ordinary shares issued in exchange for Linde AG263,148
Per share price of Praxair, Inc. common stock (iii)$164.50
Purchase price (millions of dollars)$43,288
(i)Number of Linde AG shares tendered in the 2017 Exchange Offer.
(ii)Exchange ratio for Linde AG shares as set forth in the business combination agreement.
(iii)Closing price of Praxair shares on the New York Stock Exchange prior to the effective time of the business combination on October 31, 2018.

In accordance with ASC 805, Linde AG's assets and liabilities were measured at fair value at October 31, 2018, primarily using Level 3 inputs except debt which was Level 1. Fair value represents management's best estimate of assumptions about future events and uncertainties, including significant judgments related to future cash flows (sales, costs, customer attrition rates, and contributory asset charges), discount rates, competitive trends, market comparables, and others. Inputs used were generally obtained from historical data supplemented by current and anticipated market conditions and growth rates.

For the year ended December 31, 2019, Linde made measurement period adjustments to reflect facts and circumstances in existence as of the effective date of the Merger. The more significant measurement period adjustments made reflect: the agreed upon sale price of Linde AG’s Korean business resulting in an increase to assets held for sale and corresponding decrease to goodwill of $344 million; an adjustment to the sale value of the Linde AG Americas businesses resulting in a decrease to assets held for sale and corresponding increase to goodwill of $211 million; refinement in the

valuation of other intangible assets resulting in an increase to intangible asset values and corresponding decrease to goodwill of $657 million; refinement in the valuation of property, plant and equipment resulting in a decrease to property, plant and equipment and corresponding increase to goodwill of $407 million; an increase to deferred income taxes with a corresponding increase to goodwill of $276 million; and an increase to the fair value of noncontrolling interest with a corresponding increase to goodwill of $222 million. The net impact of these and other less significant adjustments made during the twelve month period resulted in a net increase of $110 million to goodwill. The valuation process to determine the fair values is complete. The following table summarizes the final allocation of purchase price to the identifiable assets acquired and liabilities assumed by Linde, with the excess of the purchase price over the fair value of Linde AG’s net assets recorded as goodwill.

Millions of dollarsFair Value
Assets
Cash and cash equivalents$1,360
Accounts receivable – net2,857
Inventories1,439
Assets held for sale5,375
Prepaid and other current assets1,251
Property, plant and equipment18,974
Equity investments1,521
Goodwill24,256
Other intangible assets16,250
Other long-term assets805
Total Assets Acquired$74,088
Less: Liabilities Assumed
Accounts payable$3,360
Short-term debt1,177
Current portion of long-term debt1,864
Accrued taxes159
Liabilities of assets held for sale676
Other current liabilities3,058
Long-term debt6,295
Other long-term liabilities2,009
Deferred credits, including deferred income taxes6,834
Total Liabilities Assumed$25,432
Less: Redeemable noncontrolling interests92
Less: Noncontrolling interests5,276
Purchase Price (i)$43,288
(i)See above for the calculation of the purchase price.

Summary of Significant Fair Value Methods

The methods used to determine the fair value of significant identifiable assets and liabilities included in the allocation of purchase price are discussed below.

Inventories

Acquired inventory is comprised of finished goods, work in process and raw materials. The fair value of finished goods was calculated as the estimated selling price, adjusted for costs of the selling effort and a reasonable profit allowance relating to the selling effort. The fair value of work in process inventory was primarily calculated as the estimated selling price, adjusted for estimated costs to complete the manufacturing, estimated costs of the selling effort, as well as a reasonable profit

margin on the remaining manufacturing and selling effort. The fair value of raw materials and supplies was determined based on replacement cost which approximates historical carrying value. The fair value step-up of inventories is being recognized in “Cost of sales” as the inventory is sold.

Assets held for sale and Liabilities of assets held for sale

As described in Note 1, as a condition of the European Commission ("EC"), the U.S. Department of Justice ("DOJ"), and other governmental regulatory authorities approval of the merger, Linde plc, Praxair and Linde AG were required to divest various businesses in Europe, the Americas and Asia. The fair value of these businesses has been determined based on the estimated net selling prices or sales agreements. See Note 4 for further information on merger-related divestitures.

Property, Plant and Equipment

The fair value of property, plant and equipment was primarily calculated using replacement costs adjusted for the age and condition of the asset, and is summarized below:

Property, plant and equipment ("PP&E")(in millions)
Production plants$10,358
Storage tanks1,807
Transportation equipment and other543
Cylinders2,487
Buildings1,953
Land and improvements677
Construction in progress1,149
Fair value of PP&E$18,974

Identifiable Intangible Assets

The fair value of identifiable intangible assets is summarized below:

Weighted Average Amortization Period (in years)(in millions)
Identifiable intangible assets
Customer relationships29$12,550
Linde brandIndefinite1,868
Brands/Tradenames28845
Other intangibles18987
Fair value of identifiable intangible assets28$16,250

The fair value for all other identifiable intangible assets is based on assumptions that market participants would use in pricing an asset, based on the most advantageous market for the asset (i.e., its highest and best use).

The fair value of the customer relationships intangible asset was valued using a multi-period excess earnings method, a form of the income approach, which incorporates the estimated future cash flows to be generated from Linde AG’s existing customer base. Excess earnings are the earnings remaining after deducting the market rates of return on the estimated values of contributory assets, including debt-free net working capital, tangible assets, and other identifiable intangible assets. The excess earnings are thereby calculated for each year of multi-year projection periods and discounted to present value.

Other intangibles primarily includes acquired technology. Linde brand, brands/tradenames and other intangibles were valued using the relief from royalty method under the income approach; this method estimates the cost savings generated by a company related to the ownership of an asset for which it would otherwise have had to pay royalties or license fees on revenues earned through the use of the asset and discounted to present value.

Pension and Other Postretirement Liabilities

Linde recognized a pretax net liability representing the unfunded portion of Linde AG’s defined-benefit pension and other postretirement benefit ("OPEB") plans. Refer to Note 18 for further information on pensions and OPEB arrangements.

Long-Term Debt

The fair value for long-term debt was primarily obtained from third party quotes, as the majority of the Linde AG bond portfolio is publicly traded.

Deferred Income Tax Assets and Liabilities

The deferred income tax assets and liabilities include the expected future federal, state and foreign tax consequences associated with temporary differences between the preliminary fair values of the assets acquired and liabilities assumed and the respective tax bases. Tax rates utilized in calculating deferred income taxes generally represent the enacted statutory tax rates at the effective date of the merger in the jurisdictions in which legal title of the underlying asset or liability resides.

Refer to Note 7 for further information related to income taxes.

Noncontrolling Interests

Noncontrolling interests include the fair value of noncontrolling interests of Linde AG, including approximately $3.2 billion relating to the 8% of Linde AG shares which were not tendered in the Exchange Offer and were the subject of a cash-merger squeeze-out. The company’s wholly-owned indirect subsidiary, Linde Intermediate Holding AG ("Linde Holding"), which directly owns the 92% of Linde AG shares acquired in the Exchange Offer, determined the adequate cash compensation to be paid to the 8% remaining Linde AG minority shareholders in exchange for the transfer of their Linde AG shares for each Linde AG share. The cash-merger squeeze-out was approved by the shareholders of Linde AG at an extraordinary shareholders meeting of Linde AG on December 12, 2018 and completed on April 8, 2019. The remaining noncontrolling interests relate to the fair value of historic noncontrolling interests of Linde AG and its subsidiaries.

Equity Investments

The fair value of equity investments was determined using a discounted cash flow approach.

Other Assets Acquired and Liabilities Assumed (excluding Goodwill)

Linde utilized the carrying values, net of allowances, to value accounts and notes receivable and accounts payable as well as other current assets and liabilities as it was determined that carrying values represented the fair value of those items at the merger date.

Goodwill

The excess of the consideration for the merger over the preliminary fair value of net assets acquired was recorded as goodwill. The merger resulted in the recognition of $24,256 million of goodwill, which is not deductible for tax purposes. The goodwill balance is primarily attributed to the assembled workforce, expanded market opportunities and cost and other operating synergies anticipated upon the integration of the operations of Praxair and Linde AG.

Results of Linde AG Operations in 2018

The results of operations of Linde AG have been included in the company’s consolidated statements of income since the merger. The following table provides Linde AG “Sales” and “Income (loss) from continuing operations” included in the company's results for the period November 1 through December 31, 2018.

Millions of dollars Linde AG Results of OperationsNovember 1, - December 31, 2018
Sales$2,873
Income (loss) from continuing operations*$(385)
  • Includes net charges of $451 million related to the impacts of purchase accounting.

Unaudited Pro Forma Information - 2018 and 2017

Linde's unaudited pro forma results presented below were prepared pursuant to the requirements of ASC 805 and give effect to the merger as if it had been consummated on January 1, 2017. The pro forma results have been prepared for comparative purposes only, and do not necessarily represent what the revenue or results of operations would have been had the merger been completed on January 1, 2017. In addition, these results are not intended to be a projection of future operating results and do not reflect synergies that might be achieved.

The unaudited pro forma results include adjustments for the preliminary purchase accounting impact (including, but not limited to, depreciation and amortization associated with the acquired tangible and intangible assets, amortization of the fair value adjustment to investment in nonconsolidated affiliates, and reduction of interest expense related to the fair value adjustment to long-term debt along with the related tax and non-controlling interest impacts), the alignment of accounting policies, adjustments due to IFRS compliant reporting conversion to U.S. GAAP and the elimination of transactions between Praxair and Linde AG.

The unaudited pro forma results for all periods presented below exclude the results of operations of the Linde AG merger-related divestitures (See Note 4) as these divestitures are reflected as discontinued operations. The Praxair merger-related divestitures (See Note 4) are included in the results from continuing operations, including the results from Praxair's European business through the disposition date of December 3, 2018, in the unaudited pro forma results presented below, for all periods presented, as these divestitures do not qualify for discontinued operations.

The unaudited pro forma results are summarized below:

Millions of dollars20182017
Sales (a)$29,774$28,449
Income from continuing operations$4,739$871

(a) Includes sales from Praxair's merger-related divestitures of $1,625 million and $1,553 million for the years ended December 31, 2018 and 2017, respectively.

Significant nonrecurring amounts reflected in the pro forma results are as follows:

A $3,294 million gain ($2,923 million after tax) was recorded in the fourth quarter 2018 as a result of the divestiture of Praxair's European industrial gases business and is included in the December 31, 2018 pro forma income from continuing operations.

From January 1, 2017 through December 31, 2018, Praxair, Inc. and Linde AG collectively incurred pre-tax costs of $736 million ($680 million after tax) to prepare for and close the merger. These merger costs were reflected within the results of operations in the pro forma results as if they were incurred on January 1, 2017. Any costs incurred related to merger-related divestitures and integration and to prepare for the intended business separations were reflected in the pro forma results in the period in which they were incurred.

The company incurred pre-tax charges of $368 million ( $279 million after tax) and $10 million ($8 million after tax) in 2018 related to the fair value step‑up of inventories acquired and sold as well as a pension settlement due to the payout to certain participants as a result of change in control provisions within a U.S. nonqualified pension plan, respectively. The 2018 pro forma results were adjusted to exclude these charges. The pro forma results for 2017 were adjusted to include these charges, as well as charges incurred subsequent to December 31, 2018 but less than a year from the date of the merger of $13 million ($10 million after tax) related to the remaining fair value step-up of inventories to be sold and $51 million ($40 million after tax) related to an additional pension settlement within the U.S. nonqualified pension plan that occurred in the first quarter of 2019 upon payment. See Note 18 for further information relating to the U.S. nonqualified pension plan settlements.

2019 & 2018 Non-Merger Related Acquisitions

Non-merger related acquisitions of $225 million during the year ended December 31, 2019 and $25 million during the year ended December 31, 2018, largely in the Americas, are not material, individually or in the aggregate.

2017 Acquisitions

During the year ended December 31, 2017, Linde had acquisitions totaling $33 million, primarily acquisitions of packaged gas businesses and a carbon dioxide joint venture in North America.

NOTE 4. MERGER-RELATED DIVESTITURES, DISCONTINUED OPERATIONS AND NET ASSETS HELD FOR SALE

As described in Note 1, as a condition of the European Commission ("EC"), the U.S. Department of Justice ("DOJ"), and other governmental regulatory authorities approval of the merger, Linde plc, Praxair and Linde AG were required to divest the following businesses:

Praxair Merger-Related Divestitures - Primarily European Industrial Gases Business

As a condition of the EC regulatory approval of the merger transaction, Praxair agreed to sell the majority of its industrial gases business in Europe. The sale was completed on December 3, 2018.

•The Società Italiana Acetilene e Derivati S.p.A. ("SIAD") Sale and Purchase Agreement dated December 5, 2017 whereby Praxair agreed, inter alia, to sell its 34% non-controlling participation in its Italian joint venture SIAD to its joint venture partner Flow Fin in exchange for Flow Fin’s 40% non-controlling participation in Praxair’s majority-owned Italian joint venture, Rivoira S.p.A., and cash payment of a net purchase price of €90 million ($102 million as of October 31, 2018) by Praxair to Flow Fin. This transaction was completed on October 31, 2018, and;
•The Praxair Europe Sale and Purchase Agreement dated July 5, 2018 pursuant to which Praxair sold the majority of its European businesses to Taiyo Nippon Sanso Corporation for €5,000 million in cash consideration ($5,700 million at December 3, 2018), reduced by estimated normal closing adjustments of €86 million ($96 million). These transactions were completed on December 3, 2018.

In connection with these transactions, in 2018 the company recognized a net pre-tax gain of $3,294 million ($2,923 million after tax) in the consolidated statements of income and related to the EMEA segment.

The net carrying value of Praxair's European business assets and liabilities divested on December 3, 2018 is presented below:

Millions of dollarsCarrying Value
Assets
Cash and cash equivalents$38
Accounts receivable – net311
Inventories67
Prepaid and other current assets22
Property, plant and equipment – net1,342
Equity investments234
Goodwill620
Other intangible assets – net115
Other long-term assets36
Total Assets Divested$2,785
Liabilities
Accounts payable$215
Accrued taxes27
Other current liabilities111
Long-term debt2
Other long-term liabilities92
Deferred credits174
Total Liabilities Divested$621
Noncontrolling interests$200
Accumulated other comprehensive income (loss)
Pension/OPEB funded status obligation, net of taxes(8)
Cumulative translation adjustment, net of taxes(318)
Net Assets Divested$2,290

Additionally, to satisfy regulatory requirements in other jurisdictions, Praxair agreed to sell certain operations in Chile, China, India and South Korea. The Chilean business was sold as part of the Linde AG Americas SPA (as defined below), the select Indian assets were sold in July 2019, and other sales are expected in 2020. Effective October 22, 2018, the date of final regulatory approvals, these businesses have been accounted for as assets held for sale on the consolidated balance sheets. These businesses were evaluated for discontinued operations accounting treatment under U.S. GAAP and it was determined that they did not meet the definition of a discontinued operation as these transactions did not represent a strategic shift with a major effect, after considering the impact of the merger.

The sale of the select Indian assets was completed on July 12, 2019 with a sale price of $218 million and resulted in a gain of $164 million recognized in "Net gain on sale of businesses" in the consolidated statements of income.

Linde AG Merger-Related Divestitures - Primarily Americas Industrial Gases Business

As a condition of the U.S. regulatory approval of the merger, Linde AG agreed to sell the majority of its industrial gases business in the Americas, as described below:

•The Linde AG Americas Sales and Purchase Agreement, dated July 16, 2018, as and further amended on September 22, 2018, October 19, 2018, and February 20, 2019 whereby Linde AG and Praxair, Inc. entered into an agreement with a consortium comprising companies of the German industrial gases manufacturer Messer Group and CVC Capital Partners Fund VII to sell the majority of Linde AG’s industrial gases business in North America and certain industrial gases business activities of Linde AG's in South America for $2.9 billion in cash consideration after purchase price adjustments for certain items relating to assets and liabilities of the sold businesses. In addition, divestitures include $0.5 billion of proceeds for incremental plant sales within the Americas under other agreements. These transactions were completed on March 1, 2019.
•On April 30, 2019, Linde completed the sale of select assets of Linde Korea to IMM Private Equity Inc., to satisfy requirements of the Korea Fair Trade Commission. The assets divested include bulk and on-site business in Giheung, Pohang and Seosansites as well as oxygen and nitrogen on-site generators. The sale price of $1.2 billion is subject to customary adjustments.
•On December 16, 2019, Linde completed the sale of select assets of Linde India with a sale price of $193 million.

The net carrying value of Linde AG's Americas business assets and liabilities divested on March 1, 2019 is presented below:

Millions of dollarsCarrying Value
Assets
Cash and cash equivalents$200
Accounts receivable – net479
Inventories181
Prepaid and other current assets409
Property, plant and equipment – net1,590
Equity investments37
Goodwill3
Other intangible assets – net10
Other long-term assets76
Asset adjustments for estimated fair value1,650
Total Assets Divested$4,635
Liabilities
Accounts payable$94
Accrued taxes60
Other current liabilities767
Long-term debt2
Other long-term liabilities98
Deferred credits177
Total Liabilities Divested$1,198
Cumulative translation adjustment, net of taxes12
Net Assets Divested$3,449

The net carrying value of Linde AG's South Korean business assets and liabilities divested on April 30, 2019 is presented below:

Millions of dollarsCarrying Value
Assets
Accounts receivable – net$27
Inventories16
Property, plant and equipment – net389
Asset adjustments for estimated fair value879
Total Assets Divested$1,311
Liabilities
Accounts payable$2
Accrued taxes12
Other current liabilities29
Long-term debt6
Other long-term liabilities3
Deferred credits31
Total Liabilities Divested$83
Net Assets Divested$1,228

Discontinued Operations

Only the sales of the Linde AG merger-related divestitures meet the criteria for discontinued operations, Praxair merger-related divestitures do not qualify as discontinued operations. As such, operations related to the Linde AG merger-related divestitures are included within Income from discontinued operations, net of tax for periods subsequent to the merger, as summarized below:

Millions of dollars2019November 1, - December 31, 2018
Net sales$449$388
Cost of sales251173
Other operating costs4390
Operating profit$155$125
Income from equity investments81
Income taxes549
Income from discontinued operations, net of tax$109$117
Noncontrolling interests(7)(9)
Income from discontinued operations, net of tax and noncontrolling interests$102$108

For the year ended December 31, 2019 and 2018 there were no material amounts of capital expenditures or significant operating or investing non-cash items related to discontinued operations.

Net Assets Held for Sale

Net assets held for sale includes both the Linde AG merger-related divestitures that meet the criteria for discontinued operations and the Praxair merger-related divestitures that do not. As of December 31, 2019 and 2018, the following assets and liabilities are reported as components of the net assets held for sale in the consolidated balance sheets:

Millions of dollarsDecember 31, 2019December 31, 2018
Assets
Cash and cash equivalents$4$182
Accounts receivable – net2297
Inventories—209
Prepaid and other current assets—54
Property, plant and equipment – net12,005
Other Assets43187
Asset adjustments for estimated fair value (Note 3)752,564
Total Assets Classified as Assets Held for Sale$125$5,498
Liabilities
Accounts payable2125
Deferred credits—206
Other liabilities—437
Total Liabilities Classified as Assets Held for Sale2768
Net Assets Classified as Held for Sale$123$4,730

NOTE 5. COST REDUCTION PROGRAMS AND OTHER CHARGES

2019 Charges

Cost reduction programs and other charges were $567 million for the year ended December 31, 2019 ($444 million, after-tax and noncontrolling interests). The following is a summary of the pre-tax charges by reportable segment for the year

ended December 31, 2019.

Year Ended December 31, 2019
(millions of dollars)Severance costsOther cost reduction chargesTotal cost reduction program related chargesTransaction related and other chargesTotal
Americas$36$205634$90
EMEA1051612121142
APAC40105072122
Engineering11213(9)4
Other224264145209
Total$204$100$304$263$567

Cost Reduction Programs

Total cost reduction program related charges were $304 million for the year ended December 31, 2019 ($233 million after-tax).

Severance costs

Severance costs of $204 million for the year ended December 31, 2019 are for the elimination of approximately 2,400 positions, largely in EMEA, APAC, and the Americas, of which approximately 1,500 have terminated employment at December 31, 2019. The majority of these actions are anticipated to be completed within the next 12 months.

Other cost reduction charges

Other cost reduction charges of $100 million for the year ended December 31, 2019 are primarily charges related to the execution of the company's synergistic actions including location consolidations and business rationalization projects, software and process harmonization, and associated non-recurring costs.

Transaction Related and Other Charges

On October 31, 2018, Praxair and Linde AG combined under Linde plc, as contemplated by the business combination agreement (see Note 1). Linde incurred merger-related costs and other charges which totaled $263 million ($211 million, after tax and noncontrolling interests) for the year ended December 31, 2019. 2019 includes other charges for an asset impairment related to a joint venture in APAC of approximately $73 million ($42 million, after tax and noncontrolling interests) resulting from an unfavorable arbitration ruling.

Cash Requirements

The total cash requirements of the cost reduction program and other charges during the twelve months ended December 31, 2019 are estimated to be approximately $460 million, of which $260 million was paid through December 31, 2019. Total cost reduction programs and other charges, net of payments in the consolidated statements of cash flows for the twelve months ended December 31, 2019 also reflects the impact of cash payments of liabilities, included merger-related tax liabilities, accrued as of December 31, 2018.

The following table summarizes the activities related to the company's cost reduction related charges for the twelve months ended December 31, 2019:

(millions of dollars)Severance costsOther cost reduction chargesTotal cost reduction program related chargesTransaction related and other chargesTotal
2019 Cost Reduction Programs and Other Charges$204$100$304$263$567
Less: Cash payments(91)(57)(148)(112)(260)
Less: Non-cash charges—(21)(21)(78)(99)
Foreign currency translation and other4(6)(2)(6)(8)
Balance, December 31, 2019$117$16$133$67$200

2018 Charges

Cost reduction programs and other charges were $309 million for the year ended December 31, 2018 ($306 million, after-tax and non-controlling interest).

Transaction Related and Other Charges

On October 31, 2018, Praxair and Linde AG combined under Linde plc, as contemplated by the business combination agreement (see Note 1). In connection with the business combination, Linde incurred transaction costs which totaled $236 million for the year ended December 31, 2018 ($236 million after-tax).

Also included in Cost Reduction Programs and Other Charges are other charges of $73 million for the year ended December 31, 2018 ($70 million after-tax) comprised of the following; (i) a $40 million charge ($40 million after-tax) related to an unfavorable development related to a supplier contract in China, (ii) restructuring charges of $21 million ($18 million after-tax) and (iii) a $12 million charge ($12 million after-tax) associated with the transition to hyper-inflationary accounting in Argentina.

2017 Charges

Transaction Related and Other Charges

In connection with the intended business combination, Linde incurred transaction costs which totaled $52 million for the year ended December 31, 2017 ($48 million after-tax).

Classification in the consolidated financial statements

The pre-tax charges for each year are shown within operating profit in a separate line item on the consolidated statements of income. In the consolidated balance sheets, reductions in assets are recorded against the carrying value of the related assets and unpaid amounts are recorded primarily as short-term liabilities. On the consolidated statements of cash flows, the pre-tax impact of these charges, net of cash payments, is shown as an adjustment to reconcile net income to net cash provided by operating activities. In Note 20 - Segment Information, Linde excluded these charges from its management definition of segment operating profit; a reconciliation of segment operating profit to consolidated operating profit is shown within the segment operating profit table.

NOTE 6. LEASES

In the normal course of its business, Linde enters into various leases as the lessee, primarily involving manufacturing and distribution equipment and office space. Linde determines whether a contract is or contains a lease at contract inception. Total lease and rental expenses related to operating lease right of use assets for the twelve months ended December 31, 2019 was $364 million, respectively. Operating leases costs are included in selling, general and administrative expenses and cost of sales, exclusive of depreciation and amortization. The related assets and obligations are included in other long term assets and other current liabilities and other long term liabilities, respectively. Total lease and rental expenses related to finance lease right of use assets for the twelve months ended December 31, 2019 was $31 million, and the costs are included in depreciation and amortization and interest. Related assets and obligations are included in property, plant and equipment - net and debt, respectively**.** Linde includes renewal options that are reasonably certain to be exercised as part of the lease term. Operating and financing lease expenses above include short term and variable lease costs which are immaterial.

As most leases do not provide an implicit rate, Linde uses the applicable incremental borrowing rate at lease commencement to measure lease liabilities and right-of-use assets. Linde determines incremental borrowing rates through market sources.

The company has elected to apply the short-term lease exception for all underlying asset classes. Short-term leases are leases that, at the commencement date, have a lease term of twelve months or less and do not include a purchase option that the lessee is reasonably certain to exercise. Leases that meet the short-term lease definition are not recognized on the balance sheet, but rather expensed on a straight-line basis over the lease term.

Some leasing arrangements require variable payments that are dependent on usage, output, or may vary for other reasons, such as insurance. The company does not have material variable lease payments.

Gains and losses on sale and leaseback transactions were immaterial. Operating cash flows used for operating leases for the twelve months ended December 31, 2019 was $341 million. Cash flows used for finance leases for the same period were immaterial.

Supplemental balance sheet information related to leases is as follows:

(Millions of dollars)December 31, 2019
Operating Leases
Operating lease right-of-use assets1,025
Other current liabilities260
Other long-term liabilities716
Total operating lease liabilities976
Finance Leases
Finance lease right-of-use assets140
Current portion of long-term debt32
Long Term debt117
Total finance lease liabilities149

Supplemental operating lease information:

December 31, 2019
Weighted average lease term (years)7
Weighted average discount rate2.97%

Future operating and finance lease payments as of December 31, 2019 are as follows (millions of dollars):

PeriodOperating LeasesFinancing Leases
2020$275$38
202120831
202216327
202311018
20247510
Thereafter25181
Total future undiscounted lease payments1,082205
Less imputed interest(106)(56)
Total reported lease liability$976$149

Prior to the adoption of the new lease accounting standard, operating and finance lease commitments on an undiscounted basis were approximately $1.3 billion and $104 million, respectively, at December 31, 2018 under long-term non-cancelable leases. The amounts payable for operating leases were as follows:

(Millions of dollars)Operating Leases
2019$305
2020236
2021186
2022145
2023102
Thereafter326
Total$1,300

In limited instances Linde acts as a lessor, primarily for assets to provide industrial gas to specific customers. These leases are not significant to the consolidated balance sheets or consolidated statements of income.

NOTE 7. INCOME TAXES

The year ended December 31, 2019 reflects a full year of Linde plc; the year ended December 31, 2018 reflects Praxair for the entire year and Linde AG for the period beginning October 31, 2018 (the merger date), including the impacts of purchase accounting. The amounts for historical periods prior to 2018 solely reflect the results of Praxair. (See Notes 1 and 3.)

Pre-tax income applicable to U.S. and foreign operations is as follows:

(Millions of dollars) Year Ended December 31,201920182017
United States$1,161$931$1,003
Foreign (a)1,7664,1181,284
Total income before income taxes$2,927$5,049$2,287

(a) 2019 includes a $164 million gain related to the Indian divestiture and 2018 includes a $3,294 million gain related to Europe divestiture (See Note 4).

Provision for Income Taxes

The following is an analysis of the provision for income taxes:

(Millions of dollars) Year Ended December 31,2019 (a)2018 (b)2017 (c)
Current tax expense (benefit)
U.S. federal$64$390$565
State and local39(7)84
Foreign969620374
1,0721,0031,023
Deferred tax expense (benefit)
U.S. federal858(221)
State and local—1519
Foreign(388)(209)205
(303)(186)3
Total income taxes$769$817$1,026
(a)2019 includes $70 million related to divestitures, foreign current tax expense of $48 million and foreign deferred tax expense of $22 million
(b)2018 includes a benefit of $61 million related to the Tax Act (See below) and a charge of $371 million ($252 million U.S., $4 million state, $114 million foreign current tax expense and $1 million of U.S. deferred income tax expense) related to divestitures (See Note 4).
(c)2017 includes a charge of $394 million related to the Tax Act (See below).

U.S. Tax Cuts and Jobs Act (Tax Act) 2018 and 2017

On December 22, 2017 the U.S. government enacted the Tax Cuts and Jobs Act ("Tax Act"). This comprehensive tax legislation significantly revised the U.S. corporate income tax rules by, among other things, lowering the corporate income tax rate from 35% to 21%, implementing a territorial tax system and imposing a one-time tax on accumulated earnings of foreign subsidiaries. The company recorded a net provisional income tax charge of $394 million comprising (i) an estimated $467 million U.S. Federal and state tax charge for deemed repatriation of accumulated foreign earnings; (ii) an estimated $260 million charge for foreign withholding taxes related to anticipated future repatriation of foreign earnings; and (iii) an estimated $333 million deferred tax benefit for the revaluation of net deferred tax liabilities from 35% to the new 21% tax rate. The $467 million U.S. federal and state tax charge for deemed repatriation of accumulated foreign earnings includes $422 million of deemed repatriation tax payable over eight years.

In the fourth quarter of 2018, the company completed its accounting and updated its provisional estimates in accordance with SAB 118 resulting in a net reduction to tax expense of $61 million, $41 million U.S. federal and $20 million of state income tax (net of federal tax benefit). This resulted in a deemed repatriation tax payable of $261 million and $291 million and is payable over the remaining six and seven years, respectively of which $235 million and $265 million is classified as of December 31, 2019 and December 31, 2018 as other long-term liabilities on the consolidated balance sheets (See Note 9).

Further, the Tax Act enacted new provisions related to the taxation of foreign earnings, known as GILTI. The company has elected as an accounting policy to account for GILTI as period costs when incurred.

Additionally, in the fourth quarter of 2018 the company adopted Accounting Standards Update 2018-02, "Reclassification of Certain Tax Effects from Accumulated Other Comprehensive Income", electing to reclassify the income tax effects of the Tax Act from Accumulated Other Comprehensive Income ("AOCI") to retained earnings. This resulted in a net reduction to AOCI and a net increase to retained earnings of $93 million, $98 million directly related to the federal income tax rate change reduced by $5 million indirectly related to the federal tax rate change on state income taxes.

Effective Tax Rate Reconciliation

For purposes of the effective tax rate reconciliation, the company utilized the U.S. statutory income tax rate of 21% in 2019 and 2018 and 35% in 2017. An analysis of the difference between the provision for income taxes and the amount computed by applying the U.S. statutory income tax rate to pre-tax income follows:

(Dollar amounts in millions) Year Ended December 31,201920182017
U.S. statutory income tax$61521.0%$1,06021.0%$80135.0%
State and local taxes – net of federal benefit311.1%300.6%321.4%
U.S. tax credits and deductions (a)(31)(1.1)%(12)(0.2)%(27)(1.2)%
Foreign tax differentials (b)1133.9%571.1%(145)(6.3)%
Share-Based compensation(41)(1.4)%(22)(0.4)%(35)(1.5)%
Tax Act——%(61)(1.2)%39417.2%
Divestitures (c)361.2%(321)(6.4)%——%
Other – net (d)461.6%861.7%60.3%
Provision for income taxes$76926.3%$81716.2%$1,02644.9%

(a)U.S. tax credits and deductions relate to foreign derived intangible income in 2019 and 2018, the research and experimentation tax credit in 2019, 2018 and 2017 and manufacturing deduction in 2017.
(b)Primarily related to differences between the U.S. tax rate (21% in 2019 and 2018 and 35% in 2017) and the statutory tax rate in the countries where the company operates. Other permanent items and tax rate changes were not significant.
(c)Divestitures primarily relate to the sale of the company’s Indian business in 2019 and European business in 2018 (See Note 4).
(d)Other - net includes $26 million and $34 million of U.S tax related to GILTI in 2019 and 2018, respectively and an increase in unrecognized tax benefits in Europe of $44 million in 2018.

Net Deferred Tax Liabilities

Net deferred tax liabilities included in the consolidated balance sheets are comprised of the following:

(Millions of dollars) December 31,20192018
Deferred tax liabilities
Fixed assets$3,539$3,935
Goodwill145124
Other intangible assets3,6883,684
Subsidiary/equity investments664570
Other (a)789648
$8,825$8,961
Deferred tax assets
Carryforwards$441$526
Benefit plans and related (b)721575
Inventory7263
Accruals and other (c)1,1671,112
$2,401$2,276
Less: Valuation allowances (d)(222)(237)
$2,179$2,039
Net deferred tax liabilities$6,646$6,922
Recorded in the consolidated balance sheets as (Note 9):
Other long-term assets243510
Deferred credits6,8897,432
$6,646$6,922

(a)Includes $255 million in 2019 related to right-of-use lease assets.
(b)Includes deferred taxes of $446 million and $292 million in 2019 and 2018, respectively, related to pension / OPEB funded status (See Notes 9 and 18).
(c)Includes $255 million related to lease liabilities in 2019 and $81 million and $104 million in 2019 and 2018, respectively, related to research and development costs.
(d)Summary of valuation allowances relating to deferred tax assets follows (millions of dollars):
201920182017
Balance, January 1,$(237)$(76)$(132)
Income tax (charge) benefit (i)(31)(51)59
Merger with Linde AG18(121)—
Other, including write-offs (ii)267—
Translation adjustments24(3)
Balance, December 31,$(222)$(237)$(76)
(i)2017 includes a $59 million benefit related to the utilization of foreign tax credits under the Tax Act.
(ii)2019 includes $26 million related to the squeeze out of Linde AG (See Note 3).

The company evaluates deferred tax assets quarterly to ensure that estimated future taxable income will be sufficient in character (e.g., capital gain versus ordinary income treatment), amount and timing to result in their recovery. After considering the positive and negative evidence, a valuation allowance is established to reduce the assets to their realizable value when management determines that it is more likely than not (i.e., greater than 50% likelihood) that a deferred tax asset will not be realized. Considerable judgment is required in establishing deferred tax valuation allowances.

At December 31, 2019, the company had $441 million of deferred tax assets relating to net operating losses (“NOLs”) and tax credits and $222 million of valuation allowances. These deferred tax assets include $312 million relating to NOLs of which $55 million expire within 5 years, $115 million expire after 5 years and $142 million have no expiration. The deferred tax assets also include $129 million related to credits of which $6 million expire within 5 years, $113 million expire after 5 years, and $10 million have no expiration. The valuation allowances of $222 million primarily relate to NOLs and are required because management has determined, based on financial projections and available tax strategies, that it is unlikely that the NOLs will be utilized before they expire. If events or circumstances change, valuation allowances are adjusted at that time resulting in an income tax benefit or charge.

The company has $664 million of foreign income taxes accrued related to its investments in subsidiaries and equity investments as of December 31, 2019. A provision has not been made for any additional foreign income tax at December 31, 2019 on approximately $31 billion related to its investments in subsidiaries because the company intends to remain indefinitely reinvested. While the $31 billion could become subject to additional foreign income tax if there is a sale of a subsidiary, or earnings are remitted as dividends, it is not practicable to estimate the unrecognized deferred tax liability.

Uncertain Tax Positions

Unrecognized income tax benefits represent income tax positions taken on income tax returns but not yet recognized in the consolidated financial statements. The company has unrecognized income tax benefits totaling $472 million, $319 million and $54 million as of December 31, 2019, 2018 and 2017, respectively. If recognized, essentially all of the unrecognized tax benefits and related interest and penalties would be recorded as a benefit to income tax expense on the consolidated statements of income.

A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:

(Millions of dollars)201920182017
Unrecognized income tax benefits, January 1$319$54$56
Additions for tax positions of prior years (a)15110448
Reductions for tax positions of prior years(3)(7)(26)
Additions for current year tax positions (b)33179—
Reductions for settlements with taxing authorities (c)(26)(3)(26)
Foreign currency translation and other(2)(8)2
Unrecognized income tax benefits, December 31$472$319$54

(a)Increase primarily relates to tax positions in the United States and Europe, $66 million in 2019 related to the merger with Linde AG.
(b)2018 includes $167 million related to the merger with Linde AG.
(c)Settlements are uncertain tax positions that were effectively settled with the taxing authorities, including positions where the company has agreed to amend its tax returns to eliminate the uncertainty.

The company classifies interest income and expense related to income taxes as tax expense in the consolidated statements of income. The company recognized net interest expense of $1 million, $32 million and $8 million for the years ended December 31, 2019, December 31, 2018 and December 31, 2017, respectively. The company had $65 million and $48 million of accrued interest and penalties as of December 31, 2019 and December 31, 2018, respectively which were recorded in other long-term liabilities in the consolidated balance sheets (See Note 9).

As of December 31, 2019, the company remained subject to examination in the following major tax jurisdictions for the tax years as indicated below:

Major tax jurisdictionsOpen Years
North and South America
United States2016 through 2019
Canada2012 through 2019
Mexico2013 through 2019
Brazil2005 through 2019
Europe and Africa
France2014 through 2019
Germany2015 through 2019
Netherlands2015 through 2019
Republic of South Africa2015 through 2019
Spain2006 through 2019
United Kingdom2015 through 2019
Asia and Australia
Australia2014 through 2019
China2014 through 2019
India2006 through 2019
Korea2014 through 2019
Taiwan2015 through 2019

The company is currently under audit in a number of jurisdictions. As a result, it is reasonably possible that some of these matters will conclude or reach the stage where a change in unrecognized income tax benefits may occur within the next twelve months. At the time new information becomes available, the company will record any adjustment to income tax expense as required. Final determinations, if any, are not expected to be material to the consolidated financial statements. The company is also subject to income taxes in many hundreds of state and local taxing jurisdictions that are open to tax examinations.

NOTE 8. EARNINGS PER SHARE – LINDE PLC SHAREHOLDERS

Basic and Diluted earnings per share - Linde plc shareholders is computed by dividing Income From Continuing Operations, Income From discontinued operations, net of tax, and Net income – Linde plc for the period by the weighted average number of either basic or diluted shares outstanding, as follows:

201920182017
Numerator (Millions of dollars)
Income From Continuing Operations$2,183$4,273$1,247
Income from discontinued operations, net of tax102108—
Net Income – Linde plc$2,285$4,381$1,247
Denominator (Thousands of shares)
Weighted average shares outstanding540,859330,088285,893
Shares earned and issuable under compensation plans235313368
Weighted average shares used in basic earnings per share *541,094330,401286,261
Effect of dilutive securities
Stock options and awards4,0763,7262,853
Weighted average shares used in diluted earnings per share *545,170334,127289,114
Basic earnings per share from continuing operations$4.03$12.93$4.36
Basic earnings per share from discontinued operations$0.19$0.33$—
Basic Earnings Per Share$4.22$13.26$4.36
Diluted earnings per share from continuing operations$4.00$12.79$4.32
Diluted earnings per share from discontinued operations$0.19$0.32$—
Diluted Earnings Per Share$4.19$13.11$4.32
  • As a result of the merger, share amounts for the year ended December 31, 2018 reflect a weighted average effect of Praxair shares outstanding prior to October 31, 2018 and Linde plc shares outstanding on and after October 31, 2018.

There were no antidilutive shares for the years ended December 31, 2019, 2018 or 2017.

NOTE 9. SUPPLEMENTAL INFORMATION

The year ended December 31, 2018 reflects Praxair for the entire year and the Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting. The amounts for historical periods prior to 2018 solely reflect the results of Praxair. See Notes 1 and 3.

Income Statement

(Millions of dollars) Year Ended December 31,201920182017
Selling, General and Administrative
Selling$1,600$757$511
General and administrative1,857872696
$3,457$1,629$1,207
Year Ended December 31,201920182017
Depreciation and Amortization (a)
Depreciation$3,940$1,615$1,093
Amortization of intangibles (Note 12)73521591
Depreciation and Amortization$4,675$1,830$1,184
Year Ended December 31,201920182017
Other Income (Expenses) – Net
Currency related net gains (losses)$(11)$4$(3)
Partnership income886
Severance expense(7)(7)(6)
Asset divestiture gains (losses) – net1064
Other – net6873
$68$18$4
Year Ended December 31,201920182017
Interest Expense – Net
Interest incurred on debt$284$297$230
Interest income(112)(80)(41)
Amortization on acquired debt(96)(21)—
Interest capitalized(38)(20)(28)
Bond redemption (b)—26—
$38$202$161
Year Ended December 31,201920182017
Income Attributable to Noncontrolling Interests
Noncontrolling interests' operations (c)$87$12$59
Redeemable noncontrolling interests' operations (Note 16)232
Noncontrolling interests from continuing operations$89$15$61
Noncontrolling interests from discontinued operations$7$9$—

Balance Sheet

(Millions of dollars) December 31,20192018
Accounts Receivable
Trade and Other receivables$4,628$4,410
Less: allowance for doubtful accounts (d)(306)(113)
$4,322$4,297
December 31,20192018
Inventories
Raw materials and supplies$396$339
Work in process331321
Finished goods970991
$1,697$1,651
December 31,20192018
Prepaid and Other Current Assets
Prepaid and other deferred charges (e)$516$533
VAT recoverable275250
Unrealized gains on derivatives (Note 14)8566
Other264228
$1,140$1,077
December 31,20192018
Other Long-term Assets
Pension assets (Note 18)$78$140
Insurance contracts (f)7575
Long-term receivables, net (g)150135
Operating lease assets (Note 6)1,025—
Deposits5661
Investments carried at cost4076
Deferred charges90148
Deferred income taxes (Note 7)243510
Unrealized gains on derivatives (Note 14)82127
Other174190
$2,013$1,462
December 31,20192018
Other Current Liabilities
Accrued expenses$1,079$1,187
Payroll619658
VAT payable268235
Pension and postretirement (Note 18)27117
Interest payable127137
Operating lease liability (Note 6)260—
Employee benefit accrual88104
Insurance reserves3836
Unrealized losses on derivatives (Note 14)5436
Other9411,248
$3,501$3,758
December 31,20192018
Other Long-term Liabilities
Pension and postretirement (Note 18)$2,548$2,004
Tax liabilities for uncertain tax positions342191
Tax Act liabilities for deemed repatriation (Note 7)235265
Operating lease liability (Note 6)716—
Interest and penalties for uncertain tax positions (Note 7)6548
Insurance reserves2824
Asset retirement obligation293300
Unrealized losses on derivatives (Note 14)4543
Other616560
$4,888$3,435
December 31,20192018
Deferred Credits
Deferred income taxes (Note 7)$6,889$7,432
Other347179
$7,236$7,611
December 31,20192018
Accumulated Other Comprehensive Income (Loss)
Cumulative translation adjustment - net of taxes:
Americas (h)$(3,357)$(3,375)
EMEA (h)(136)105
APAC (h)(140)(114)
Engineering(29)40
Other282(246)
(3,380)(3,590)
Derivatives – net of taxes(27)(2)
Unrealized gain (loss) on securities—(1)
Pension/OPEB funded status obligation (net of $446 million and $292 million tax benefit in 2019 and 2018) (Note 18)(1,407)(863)
$(4,814)$(4,456)
(a)Depreciation and amortization expense in 2019 include $1,298 million and $642 million, respectively, of Linde AG purchase accounting impacts. In 2018, depreciation and amortization expense include $225 million and $121 million, respectively, of Linde AG purchase accounting impacts.
(b)In December 2018, Linde repaid $600 million of 4.50% notes due 2019 and €600 million of 1.50% notes due 2020 resulting in a $26 million interest charge ($20 million after-tax).
(c)Noncontrolling interests from continuing operations includes a $1 million benefit and a $35 million charge in 2019 and 2018, respectively, related to the 8% of Linde AG Shares which were not tendered in the Exchange Offer. Linde AG completed the cash merger squeeze-out of all its minority shares on April 8, 2019 (see Note 3).

In addition, 2019 and 2018 noncontrolling interests from continuing operations include $54 million and $24 million, respectively, of Linde AG purchase accounting impacts.

(d)Provisions to the allowance for doubtful accounts were $170 million, $25 million, and $33 million in 2019, 2018, and 2017, respectively. The allowance activity in each period related primarily to write-offs of uncollectible amounts, net of recoveries and currency movements.
(e)Includes estimated income tax payments of $115 million and $172 million in 2019 and 2018, respectively.
(f)Consists primarily of insurance contracts and other investments to be utilized for non-qualified pension and OPEB obligations.
(g)Long-term receivables are not material and are largely reserved. The balances at December 31, 2019 and 2018 are net of reserves of $44 million and $46 million, respectively. The amounts in both periods relate primarily to long-term notes receivable from customers and government receivables in Brazil. Collectability is reviewed regularly and uncollectible amounts are written-off as appropriate.
(h)Americas consists of currency translation adjustments primarily in Canada, Mexico, and Brazil. EMEA relates primarily to Germany, the United Kingdom and Sweden. APAC relates primarily to China, Korea, India and Australia.

NOTE 10. PROPERTY, PLANT AND EQUIPMENT – NET

Significant classes of property, plant and equipment are as follows:

(Millions of dollars) December 31,Depreciable Lives (Yrs)20192018
Production plants (primarily 15-year life) (a)10-20$25,493$24,726
Storage tanks15-204,2954,061
Transportation equipment and other3-152,8092,654
Cylinders10-304,1843,955
Buildings25-403,1623,083
Land and improvements (b)0-201,2291,162
Construction in progress3,1462,296
44,31841,937
Less: accumulated depreciation(15,254)(12,220)
$29,064$29,717

(a) - Depreciable lives of production plants related to long-term customer supply contracts are consistent with the contract lives.

(b) - Land is not depreciated.

NOTE 11. GOODWILL

Changes in the carrying amount of goodwill for the years ended December 31, 2019 and 2018 were as follows:

(Millions of dollars)AmericasEMEAAPACEngineeringOtherTotal
Balance, December 31, 2017$2,306$695$59$—$173$3,233
Addition due to Merger (Note 3)6,89010,8025,1931,06020124,146
Acquisitions (Note 3)5———5
Purchase adjustments & other12———12
Foreign currency translation(39)834315(4)98
Disposals (Note 4)—(620)——(620)
Balance, December 31, 20189,17410,9605,2951,07537026,874
Acquisitions (Note 3)135————135
Measurement period adjustments (Note 3)(255)(636)(323)1,410(42)154
Foreign currency translation(12)(81)(15)(15)(21)(144)
Balance, December 31, 2019$9,042$10,243$4,957$2,470$307$27,019

Linde has historically performed its goodwill impairment tests annually during the second quarter of each year, and has determined that the fair value of each of its reporting units was substantially in excess of its carrying value. For the second quarter 2019 test, Linde applied the FASB's accounting guidance which allows the company to first assess qualitative factors to determine the extent of additional quantitative analysis, if any, that may be required to test goodwill for impairment. Based on the qualitative assessments performed, Linde concluded that it was more likely than not that the fair value of each reporting unit substantially exceeded its carrying value and therefore, further quantitative analysis was not required. As a result, no impairment was recorded.

During the fourth quarter of fiscal year 2019, the company changed the date of its annual goodwill impairment test from April 30 to October 1. The change was made to more closely align the impairment testing date with the company’s planning process. The change in annual impairment testing date did not delay, accelerate or avoid an impairment charge. The company has determined this change in the method of applying an accounting principle is preferable.

Linde's impairment test performed during the fourth quarter of 2019 estimated the fair value of each reporting unit by applying multiples of earnings from a peer group to the company’s forecasted earnings for the year ending December 31, 2019. The peer group is comprised of comparable entities with similar operations and economic characteristics. Linde concluded the fair value of reporting units exceeded its carrying value and therefore recognized no impairment. There were no indicators of impairment through December 31, 2019. Reporting units with greater concentration of Linde AG assets fair valued during the recent merger are at greater risk of impairment in future periods.

NOTE 12. OTHER INTANGIBLE ASSETS

The following is a summary of Linde’s other intangible assets at December 31, 2019 and 2018:

(Millions of dollars) For the year ended December 31, 2019Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2018$13,288$2,288$1,366$16,942
Additions (primarily acquisitions)3065187
Foreign currency translation(59)(21)(11)(91)
Measurement period adjustments (Note 3)(8)492178662
Other *(46)(1)28(19)
Balance, December 31, 201913,2052,7641,61217,581
Less: accumulated amortization:
Balance, December 31, 2018(317)(22)(380)(719)
Amortization expense (Note 9)(584)(47)(104)(735)
Foreign currency translation——22
Other *16—(8)8
Balance, December 31, 2019(885)(69)(490)(1,444)
Net intangible asset balance at December 31, 2019$12,320$2,695$1,122$16,137
(Millions of dollars) For the year ended December 31, 2018Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2017$772$46$619$1,437
Additions due to merger (Note 3)12,5552,22681115,592
Additions (primarily acquisitions)1—2627
Foreign currency translation12124(9)136
Disposals (Note 4)(141)(8)(78)(227)
Other *(20)—(3)(23)
Balance, December 31, 201813,2882,2881,36616,942
Less: accumulated amortization:
Balance, December 31, 2017(260)(18)(374)(652)
Amortization expense (Note 9)(135)(9)(71)(215)
Foreign currency translation4—812
Disposals (Note 4)55552112
Other *19—524
Balance, December 31, 2018(317)(22)(380)(719)
Net balance at December 31, 2018$12,971$2,266$986$16,223

*Other primarily relates to the write-off of fully amortized assets and reclassifications.

There are no expected residual values related to these intangible assets. Amortization expense for the years ended December 31, 2019, 2018 and 2017 was $735 million, $215 million and $91 million, respectively. The remaining weighted-average amortization period for intangible assets is approximately 28 years.

Total estimated annual amortization expense related to finite-lived intangibles is as follows:

(Millions of dollars)
2020$718
2021713
2022595
2023570
2024556
Thereafter11,115
Total amortization related to finite-lived intangible assets14,267
Indefinite-lived intangible assets at December 31, 20191,870
Net intangible assets at December 31, 2019$16,137

NOTE 13. DEBT

The following is a summary of Linde’s outstanding debt at December 31, 2019 and 2018:

(Millions of dollars)20192018
Short-term
Commercial paper and U.S. bank borrowings$996$829
Other bank borrowings (primarily international)736656
Total short-term debt1,7321,485
Long-term (a)
(U.S. dollar denominated unless otherwise noted)
1.90% Notes due 2019 (b)—500
Variable rate notes due 2019 (b)—150
1.75% Euro denominated notes due 2019 (b,c)—578
4.25% AUD denominated notes due 2019 (b)—71
Variable rate notes due 2019 (b)—200
2.25% Notes due 2020300299
1.75% Euro denominated notes due 2020 (c)1,1371,185
0.634% Euro denominated notes due 20205658
4.05% Notes due 2021499499
3.875% Euro denominated notes due 2021 (c)711755
3.00% Notes due 2021499498
0.250% Euro denominated notes due 2022 (c)1,1291,156
2.45% Notes due 2022599598
2.20% Notes due 2022499498
2.70% Notes due 2023499498
2.00% Euro denominated notes due 2023 (c)776805
5.875% GBP denominated notes due 2023 (c)456454
1.20% Euro denominated notes due 2024615628
1.875% Euro denominated notes due 2024 (c)361373
2.65% Notes due 2025398398
1.625% Euro denominated notes due 2025556568
3.20% Notes due 2026725725
3.434% Notes due 2026196195
1.652% Euro denominated notes due 20279396
1.00% Euro denominated notes due 2028 (c)872861
1.90% Euro denominated notes due 2030118121
3.55% Notes due 2042662662
Other1010
International bank borrowings309291
Obligations under capital lease14981
12,22413,811
Less: current portion of long-term debt(1,531)(1,523)
Total long-term debt10,69312,288
Total debt$13,956$15,296

(a)Amounts are net of unamortized discounts, premiums and/or debt issuance costs as applicable.
(b)In February 2019, Linde repaid $500 million of 1.9% notes that became due; in May 2019 Linde repaid $150 million of variable notes that became due; in June 2019 Linde repaid €500 million of 1.75% notes that became due and the associated interest rate swap was settled; also in June 2019 Linde settled AUD100 million of variable rate notes that became due; and in August 2019 Linde repaid $200 million of variable rate notes that became due.
(c)December 31, 2019 and 2018 included a cumulative $38 million and $14 million adjustment to carrying value, respectively, related to hedge accounting of interest rate swaps.

Credit Facilities

On March 26, 2019 the company and certain of its subsidiaries entered into an unsecured revolving credit agreement ("the Credit Agreement") with a syndicate of banking institutions, which became effective on March 29, 2019. The Credit Agreement provides for total commitments of $5.0 billion, which may be increased up to $6.5 billion, subject to receipt of additional commitments and satisfaction of customary conditions. There are no financial maintenance covenants contained within the Credit Agreement. The revolving credit facility expires on March 26, 2024 with the option to request two one-year extensions of the expiration date. In connection with the effectiveness of the Credit Agreement, Praxair and Linde AG terminated their major respective existing revolving credit facilities. No borrowings were outstanding under the Credit Agreement as of December 31, 2019.

On September 3, 2019 Linde and the company’s subsidiaries Praxair and Linde AG entered into a series of parent and subsidiary guarantees related to currently outstanding notes issued by Praxair and Linde AG as well as the $5 billion Credit Agreement.

Other Debt Information

As of December 31, 2019 and 2018, the weighted-average interest rate of short-term borrowings outstanding was 0.6% for both periods.

Expected maturities of long-term debt are as follows:

(Millions of dollars)
2020$1,531
20211,855
20222,330
20231,798
2024983
Thereafter3,727
$12,224

As of December 31, 2019, the amount of Linde's assets pledged as collateral was immaterial.

See Note 15 for the fair value information related to debt.

NOTE 14. FINANCIAL INSTRUMENTS

In its normal operations, Linde is exposed to market risks relating to fluctuations in interest rates, foreign currency exchange rates, energy costs and to a lesser extent precious metal prices. The objective of financial risk management at Linde is to minimize the negative impact of such fluctuations on the company’s earnings and cash flows. To manage these risks, among other strategies, Linde routinely enters into various derivative financial instruments (“derivatives”) including interest-rate swap and treasury rate lock agreements, currency-swap agreements, forward contracts, currency options, and commodity-swap agreements. These instruments are not entered into for trading purposes and Linde only uses commonly traded and non-leveraged instruments.

There are three types of derivatives that the company enters into: (i) those relating to fair-value exposures, (ii) those relating to cash-flow exposures, and (iii) those relating to foreign currency net investment exposures. Fair-value exposures relate to recognized assets or liabilities, and firm commitments; cash-flow exposures relate to the variability of future cash flows associated with recognized assets or liabilities, or forecasted transactions; and net investment exposures relate to the impact of foreign currency exchange rate changes on the carrying value of net assets denominated in foreign currencies.

When a derivative is executed and hedge accounting is appropriate, it is designated as either a fair-value hedge, cash-flow hedge, or a net investment hedge. Currently, Linde designates all interest-rate and treasury-rate locks as hedges for accounting purposes; however, cross-currency interest rate contracts are generally not designated as hedges for accounting

purposes. Certain currency contracts related to forecasted transactions are designated as hedges for accounting purposes. Whether designated as hedges for accounting purposes or not, all derivatives are linked to an appropriate underlying exposure. On an ongoing basis, the company assesses the hedge effectiveness of all derivatives designated as hedges for accounting purposes to determine if they continue to be highly effective in offsetting changes in fair values or cash flows of the underlying hedged items. If it is determined that the hedge is not highly effective, then hedge accounting will be discontinued prospectively.

Counterparties to Linde’s derivatives are major banking institutions with credit ratings of investment grade or better. The company has Credit Support Annexes ("CSAs") in place with their principal counterparties to minimize potential default risk and to mitigate counterparty risk. Under the CSAs, the fair values of derivatives for the purpose of interest rate and currency management are collateralized with cash on a regular basis. As of December 31, 2019, the impact of such collateral posting arrangements on the fair value of derivatives was insignificant. Management believes the risk of incurring losses on derivative contracts related to credit risk is remote and any losses would be immaterial.

The following table is a summary of the notional amount and fair value of derivatives outstanding at December 31, 2019 and 2018 for consolidated subsidiaries:

Fair Value
(Millions of dollars)Notional AmountsAssets (a)Liabilities (a)
December 31,201920182019201820192018
Derivatives Not Designated as Hedging Instruments:
Currency contracts:
Balance sheet items$7,936$6,357$62$24$37$42
Forecasted transactions74894514151517
Cross-currency interest rate swaps1,0292,110351124040
Commodity contractsN/AN/A—27—9
Total9,7139,41211117892108
Derivatives Designated as Hedging Instruments:
Currency contracts:
Balance sheet items$27$—$2$—$3$—
Forecasted transactions4641589233
Commodity contractsN/AN/A6—1—
Interest rate swaps1,9082,1643913—10
Total Hedges$2,399$2,322$56$15$7$13
Total Derivatives$12,112$11,734$167$193$99$121

(a) Current assets of $85 million are recorded in prepaid and other current assets; long-term assets of $82 million are recorded in other long-term assets; current liabilities of $54 million are recorded in other current liabilities; and long-term liabilities of $45 million are recorded in other long-term liabilities.

Balance Sheet Items

Foreign currency contracts related to balance sheet items consist of forward contracts entered into to manage the exposure to fluctuations in foreign-currency exchange rates on recorded balance sheet assets and liabilities denominated in currencies other than the functional currency of the related operating unit. Certain forward currency contracts are entered into to protect underlying monetary assets and liabilities denominated in foreign currencies from foreign exchange risk and are not designated as hedging instruments. For balance sheet items that are not designated as hedging instruments, the fair value adjustments on these contracts are offset by the fair value adjustments recorded on the underlying monetary assets and liabilities.

Forecasted Transactions

Foreign currency contracts related to forecasted transactions consist of forward contracts entered into to manage the exposure to fluctuations in foreign-currency exchange rates on (1) forecasted purchases of capital-related equipment and services, (2) forecasted sales, or (3) other forecasted cash flows denominated in currencies other than the functional currency of the related operating units. For forecasted transactions that are designated as cash flow hedges, fair value adjustments are

recorded to accumulated other comprehensive income ("AOCI") with deferred amounts reclassified to earnings over the same time period as the income statement impact of the associated purchase. For forecasted transactions that do not qualify for cash flow hedging relationships, fair value adjustments are recorded directly to earnings.

Interest Rate/Cross-Currency Interest Rate Swaps

Cross-currency interest rate swaps are entered into to limit the foreign currency risk of future principal and interest cash flows associated with intercompany loans, and to a more limited extent bonds, denominated in non-functional currencies. The fair value adjustments on the cross-currency swaps are recorded to earnings, where they are offset by fair value adjustments on the underlying intercompany loan or bond.

Commodity Contracts

Commodity contracts are entered into to manage the exposure to fluctuations in commodity prices, which arise in the normal course of business from its procurement transactions. To reduce the extent of this risk, Linde enters into a limited number of electricity, natural gas, and propane gas derivatives. The fair value adjustments for the majority of these contracts are recorded to AOCI and are eventually offset by the income statement impact of the underlying commodity purchase.

Net investment hedges

As of December 31, 2019, Linde has not designated any hedges of net investment positions in foreign operations. Linde had previously designated Euro-denominated debt instruments as net investment hedges to reduce the company's exposure to changes in the currency exchange rate on investments in foreign subsidiaries with Euro functional currencies. Exchange rate movements of $206 million relating to the previously denominated Euro-denominated debt incurred in the financial periods prior to de-designation will remain in AOCI, until appropriate, such as upon sale or liquidation of the foreign operations at which time amounts will be reclassified to the consolidated statements of income. Exchange rate movements related to the Euro-denominated debt occurring after de-designation are shown in the consolidated statements of income.

Interest Rate Swaps

Linde uses interest rate swaps to hedge the exposure to changes in the fair value of financial assets and financial liabilities as a result of interest rate changes. These interest rate swaps effectively convert fixed-rate interest exposures to variable rates; fair value adjustments are recognized in earnings along with an equally offsetting charge/benefit to earnings for the changes in the fair value of the underlying financial asset or financial liability. The notional value of outstanding interest rate swaps of Linde with maturity dates from 2020 through 2028 was $1,908 million at December 31, 2019 and $2,164 at December 31, 2018 (see Note 13 for further information).

Terminated Treasury Rate Locks

The unrecognized aggregate losses related to terminated treasury rate lock contracts on the underlying $500 million 3.00% fixed-rate notes that mature in 2021 and the $500 million 2.20% fixed-rate notes that mature in 2022 at December 31, 2019 and December 31, 2018 were $2 million (net of taxes of $1 million) and $2 million (net of taxes of $1 million), respectively. The unrecognized gains/(losses) for the treasury rate locks are shown in AOCI and are being recognized on a straight line basis to interest expense - net over the term of the underlying debt agreements.

Impact of derivative instruments on earnings and AOCI

The following table summarizes the impact of the company's derivatives on the consolidated statements of income:

(Millions of dollars)Amount of Pre-Tax Gain (Loss) **Recognized in Earnings ***
December 31,201920182017
Derivatives Not Designated as Hedging Instruments
Currency contracts:
Balance sheet items:
Debt-related$253$(118)$121
Other balance sheet items653—
Total$318$(115)$121
  • The gains (losses) on balance sheet items are offset by gains (losses) recorded on the underlying hedged assets and liabilities. Accordingly, the gains (losses) for the derivatives and the underlying hedged assets and liabilities related to debt items are recorded in the consolidated statements of income as interest expense-net. Other balance sheet items and anticipated net income gains (losses) are recorded in the consolidated statements of income as other income (expenses)-net.

The amounts of gain or loss recognized in AOCI and reclassified to the consolidated statement of income was immaterial for the year ended December 31, 2019. Net losses expected to be reclassified to earnings during the next twelve months are also not material.

The gains (losses) on net investment hedges are recorded as a component of AOCI within foreign currency translation adjustments in the consolidated balance sheets and the consolidated statements of comprehensive income. The gains (losses) on treasury rate locks are recorded as a component of AOCI within derivative instruments in the consolidated balance sheets and the consolidated statements of comprehensive income. The gains (losses) on net investment hedges are reclassified to earnings only when the related currency translation adjustments are required to be reclassified, usually upon sale or liquidation of the investment. The gains (losses) for interest rate contracts are reclassified to earnings as interest expense –net on a straight-line basis over the remaining maturity of the underlying debt.

NOTE 15. FAIR VALUE DISCLOSURES

The fair value hierarchy prioritizes the inputs to valuation techniques used to measure fair value into three broad levels as follows:

Level 1 – quoted prices in active markets for identical assets or liabilities

Level 2 – quoted prices for similar assets and liabilities in active markets or inputs that are observable

Level 3 – inputs that are unobservable (for example cash flow modeling inputs based on assumptions)

Assets and Liabilities Measured at Fair Value on a Recurring Basis

The following table summarizes assets and liabilities measured at fair value on a recurring basis at December 31, 2019 and 2018:

Fair Value Measurements Using
(Millions of dollars)Level 1Level 2Level 3
201920182019201820192018
Assets
Derivative assets$—$—$167$193$—$—
Investments and securities *1822——2830
Total$18$22$167$193$28$30
Liabilities
Derivative liabilities$—$—$99$121$—$—
*Investments and securities are recorded in prepaid and other current assets and other long-term assets in the company's consolidated balance sheets.

Level 1 investments and securities are marketable securities traded on an exchange. Level 2 investments are based on market prices obtained from independent brokers or determined using quantitative models that use as their basis readily observable market parameters that are actively quoted and can be validated through external sources, including third-party pricing services, brokers and market transactions. Level 3 investments and securities consist of a venture fund. For the valuation, Linde uses the net asset value received as part of the fund's quarterly reporting, which for the most part is not based on quoted prices in active markets. In order to reflect current market conditions, Linde proportionally adjusts these by observable market data (stock exchange prices) or current transaction prices.

The following table summarizes the changes in level 3 investments and securities for the year ended December 31, 2019. Gains (losses) recognized in earnings are recorded to interest expense - net in the company's consolidated statements of income.

(Millions of dollars)2019
Balance at January 1$30
Additions1
Gains (losses) recognized in earnings(3)
Balance at December 31$28

The fair value of cash and cash equivalents, short-term debt, accounts receivable-net, and accounts payable approximate carrying value because of the short-term maturities of these instruments.

The fair value of long-term debt is estimated based on the quoted market prices for the same or similar issues. Long-term debt is categorized within either Level 1 or Level 2 of the fair value hierarchy depending on the trading volume of the issues and whether or not they are actively quoted in the market as opposed to traded through over-the-counter transactions. At December 31, 2019, the estimated fair value of Linde’s long-term debt portfolio was $12,375 million versus a carrying value of $12,224 million. At December 31, 2018 the estimated fair value of Linde’s long-term debt portfolio was $13,725 million versus a carrying value of $13,811 million. As Linde AG's assets and liabilities were measured at estimated fair value as of the merger date, differences between the carrying value and the fair value not significant; remaining differences are attributable to interest rate increases subsequent to when the debt was issued and relative to stated coupon rates.

NOTE 16. EQUITY AND NONCONTROLLING INTERESTS

Linde plc Shareholders’ Equity

At December 31, 2019 and 2018, Linde has total authorized share capital of €1,825,000 divided into 1,750,000,000 ordinary shares of €0.001 each, 25,000 A ordinary shares of €1.00 each, 25,000 deferred shares of €1.00 each and 25,000,000 preferred shares of €0.001 each.

At December 31, 2019 there were 552,012,862 and 534,380,544 of Linde plc ordinary shares issued and outstanding, respectively. At December 31, 2019 there were no shares of A ordinary shares, deferred shares or preferred shares issued or outstanding.

At December 31, 2018 there were 551,310,272 and 547,241,630 of Linde plc ordinary shares issued and outstanding, respectively. At December 31, 2018, there were no shares of A ordinary shares, deferred shares or preferred shares issued or outstanding.

Linde’s Board of Directors may from time to time authorize the issuance of one or more series of preferred stock and, in connection with the creation of such series, determine the characteristics of each such series including, without limitation, the preference and relative, participating, optional or other special rights, and the qualifications, limitations or restrictions of the series.

2018 Merger of Praxair and Linde AG

Following is a summary of the Linde plc shareholders' equity transactions related to the merger:

Ordinary SharesAdditional Paid in CapitalTreasury Stock
(Dollar amounts in millions, shares in thousands)SharesAmountSharesAmount
Merger with Linde AG (a)263,148$—$43,288—$—
Conversion of Praxair to Linde plc shares (b)—(3)3——
Cancellation of Praxair Treasury stock (c)(95,324)—(7,113)(95,324)7,113
Impact of Linde AG merger167,824$(3)$36,178(95,324)$7,113
(a)The total fair value of consideration transferred for the merger was $43,288 million, resulting in an increase to "Additional paid-in capital" in stockholders' equity (see Note 3 for additional information).
(b)On October 31, 2018, the conversion of Praxair common stock and Linde AG common stock into Linde ordinary shares resulted in a $3 million decrease to "Ordinary Shares" with a corresponding increase to "Additional paid-in capital" in stockholders' equity.
(c)Each share of Praxair common stock held in treasury immediately prior to the merger was canceled. The elimination of Praxair's historical treasury stock at cost resulted in a $7,113 million decrease in "Treasury stock" and "Additional paid-in capital" in stockholders' equity.

As indicated above, in connection with the merger, Praxair and Linde AG common stock was converted into shares of Linde plc ordinary shares. The following table provides a summary of the share activity resulting from the merger:

(in thousands, except Linde AG exchange ratio)
Linde plc shares exchanged for Linde AG shares
Linde AG common stock tendered as of October 31, 2018 (i)170,875
Business combination agreement exchange ratio (ii)1.54
Linde plc ordinary shares issued in exchange for Linde AG263,148
Linde plc shares issued to Praxair shareholders upon conversion
Praxair shares outstanding at merger date287,907
Total Linde plc shares issued at merger date551,055
(i)Number of Linde AG shares tendered in the 2017 Exchange Offer.
(ii)Exchange ratio for Linde AG shares as set forth in the business combination agreement.

Other Linde plc Ordinary Share and Treasury Stock Transactions

Linde may issue new ordinary shares for dividend reinvestment and stock purchase plans and employee savings and incentive plans. The number of new Linde ordinary shares issued from the merger date through December 31, 2019 was 958,293 shares.

On December 10, 2018 the Linde board of directors approved the repurchase of $1.0 billion of its ordinary shares under which Linde had repurchased 6,385,887 shares through December 31, 2019 (4,068,642 shares were repurchased through December 31, 2018). Linde completed the repurchases under this program in the first quarter of 2019.

Subsequently, on January 22, 2019 the company’s board of directors approved the additional repurchase of $6.0 billion of its ordinary shares under which Linde had repurchased 12,016,083 shares through December 31, 2019.

Noncontrolling Interests

Noncontrolling interest ownership changes are presented within the consolidated statements of equity. The $2,921 million decrease during 2019 was primarily driven by Linde AG completion of the cash merger squeeze-out of all its minority shares on April 8, 2019. This represents the 8% of Linde AG shares which were not tendered in the Exchange Offer and were the subject of a cash-merger squeeze-out (See Note 3).

The $186 million decrease during 2018 primarily relates to the sale of Praxair's industrial gases business in Europe (see Notes 1 and 4). The "Impact of Merger" line item of the consolidated statements of equity includes the fair value of the noncontrolling interests acquired from Linde AG, including the 8% of Linde AG shares which were not tendered in the Exchange Offer and were intended to be the subject of a cash-merger squeeze-out (See Note 3).

The $15 million increase during 2017 relates to additional funding provided to PG Technologies, LLC ("PGT") by the joint venture partner.

Redeemable Noncontrolling Interests

Noncontrolling interests with redemption features, such as put/sell options, that are not solely within the company’s control (“redeemable noncontrolling interests”) are reported separately in the consolidated balance sheets at the greater of carrying value or redemption value. For redeemable noncontrolling interests that are not yet exercisable, Linde calculates the redemption value by accreting the carrying value to the redemption value over the period until exercisable. If the redemption value is greater than the carrying value, any increase is adjusted directly to retained earnings and does not impact net income. At December 31, 2019, the redeemable noncontrolling interest balance includes industrial gas businesses in EMEA and Americas where the noncontrolling shareholders have put options.

NOTE 17. SHARE-BASED COMPENSATION

Share-based compensation expense was $95 million in 2019 ($62 million and $59 million in 2018 and 2017, respectively). The related income tax benefit recognized was $42 million in 2019 ($30 million and $53 million in 2018 and 2017, respectively). The expense was primarily recorded in selling, general and administrative expenses and no share-based compensation expense was capitalized.

Summary of Plans

The 2009 Praxair, Inc. Long-Term Incentive Plan was initially adopted by the board of directors and shareholders of Praxair, Inc. on April 28, 2009 and has been amended since its initial adoption ("the 2009 Plan"). Upon completion of the business combination of Praxair, Inc. with Linde AG on October 31, 2018, the 2009 Plan was assumed by the company. Prior to April 28, 2009, Praxair, Inc. granted equity awards under the 2002 Praxair, Inc. Long-Term Incentive Plan , (“the 2002 Plan”) which was also assumed by the company upon completion of the business combination. The 2009 Plan permits awards of stock options, stock appreciation rights, restricted stock and restricted stock units, performance-based stock units and other equity awards to eligible officer and non-officer employees and non-employee directors of the company and its affiliates. As of December 31, 2019, 6,454,428 shares remained available for equity grants under the 2009 Plan, of which 1,757,354 shares may be granted as awards other than options or stock appreciation rights.

In 2005, the board of directors and shareholders of Praxair, Inc. adopted the 2005 Equity Compensation Plan for Non-Employee Directors of Praxair, Inc. ("the 2005 Plan"). Upon completion of the business combination in October 2018, the 2005 Plan was also assumed by the company. Under the 2005 Plan, the aggregate number of shares available for option and other equity grants was limited to a total of 500,000 shares. The 2005 Plan expired on April 30, 2010, by its own terms, and no shares were available for grant thereafter.

Upon the completion of the business combination, all options outstanding under the 2009 Plan, the 2002 Plan and the 2005 Plan were converted into options to acquire the same number of shares of the company and at the same exercise price per share that applied prior to the business combination.

Exercise prices for options granted under the 2009 Plan may not be less than the closing market price of the company’s ordinary shares on the date of grant and granted options may not be re-priced or exchanged without shareholder approval. Options granted under the 2009 Plan subject only to time vesting requirements may become partially exercisable after a minimum of one year after the date of grant but may not become fully exercisable until at least three years have elapsed from the date of grant, and all options have a maximum duration of ten years. Options granted under predecessor plans had similar terms.

In connection with the business combination, on October 31, 2018 the company's Board of Directors adopted the Long Term Incentive Plan 2018 of Linde plc (“the LTIP 2018”), the purpose of which is to replace certain outstanding Linde AG equity based awards that were terminated. Under the LTIP 2018, the aggregate number of shares available for replacement option rights and replacement restricted share units was set at 473,128. As of December 31, 2019, 260,794 shares remained available for grant, and since the company was obligated to make these replacement awards in 2019, it does not anticipate any further grants under this plan.

Exercise prices for the replacement option rights that were granted in 2019 under the LTIP 2018 were equal to EUR 1.67 ($1.92 as converted at an exchange rate from the time the exchange offer was completed as the option rights are exercisable in U.S. dollars on the NYSE) as prescribed in the business combination agreement. Each replacement option right granted under the LTIP 2018 is subject to vesting based on continued service until the end of the four-year waiting period applicable to the relevant Linde AG award that had been granted before the business combination. After vesting, each option right will be exercisable for one year.

In order to satisfy option exercises and other equity grants, the company may issue authorized but previously unissued shares or it may issue treasury shares.

Stock Option Fair Value

The company utilizes the Black-Scholes Options-Pricing Model to determine the fair value of stock options consistent with that used in prior years. Management is required to make certain assumptions with respect to selected model inputs, including anticipated changes in the underlying stock price (i.e., expected volatility) and option exercise activity (i.e., expected life). Expected volatility is based on the historical volatility of the company’s stock over the most recent period commensurate with the estimated expected life of the company’s stock options and other factors. The expected life of options granted, which represents the period of time that the options are expected to be outstanding, is based primarily on historical exercise experience. The expected dividend yield is based on the company’s most recent history and expectation of dividend payouts. The risk-free rate is based on the U.S. Treasury yield curve in effect at the time of grant for a period commensurate with the estimated expected life. If factors change and result in different assumptions in future periods, the stock option

expense that the company records for future grants may differ significantly from what the company has recorded in the current period.

The weighted-average fair value of options granted during 2019 was $23.38 ($19.29 in 2018 and $12.40 in 2017) based on the Black-Scholes Options-Pricing model. The increase in grant date fair value year-over-year is primarily attributable to the increase in the company's stock price. The weighted-average fair value of replacement option rights granted in 2019 was $160.08 based on intrinsic value method.

The following weighted-average assumptions were used to value the grants in 2019, 2018 and 2017:

Year Ended December 31,201920182017
Dividend yield2.0%2.1%2.7%
Volatility14.3%14.4%14.0%
Risk-free interest rate2.38%2.67%2.13%
Expected term years656

The following table summarizes option activity under the plans as of December 31, 2019 and changes during the period then ended (averages are calculated on a weighted basis; life in years; intrinsic value expressed in millions):

ActivityNumber of Options (000’s)Average Exercise PriceAverage Remaining LifeAggregate Intrinsic Value
Outstanding at January 1, 201910,624$117.65
Granted1,486157.14
Exercised(2,705)103.87
Cancelled or expired(108)158.17
Outstanding at December 31, 20199,297$127.046.0$798
Exercisable at December 31, 20196,306$117.265.0$603

The aggregate intrinsic value represents the difference between the company’s closing stock price of $212.90 as of December 31, 2019 and the exercise price multiplied by the number of in the money options outstanding as of that date. The total intrinsic value of stock options exercised during 2019 was $219 million ($113 million and $137 million in 2018 and 2017, respectively).

Cash received from option exercises under all share-based payment arrangements for 2019 was $64 million ($66 million and $107 million in 2018 and 2017, respectively). The cash tax benefit realized from share-based compensation totaled $56 million for 2019 ($30 million and $51 million cash tax benefit in 2018 and 2017, respectively).

As of December 31, 2019, $32 million of unrecognized compensation cost related to non-vested stock options is expected to be recognized over a weighted-average period of approximately 1 year.

Performance-Based and Restricted Stock Awards

In 2019, Linde granted 261,760 performance-based stock awards under the 2009 Plan to senior management that vest, subject to the attainment of pre-established minimum performance criteria, principally on the third anniversary of their date of grant. These awards are tied to either after tax return on capital ("ROC") performance or relative total shareholder return ("TSR") performance versus that of the S&P 500 (weighted 67%) and Eurofirst 300 (weighted 33%). The actual number of shares issued in settlement of a vested award can range from zero to 200 percent of the target number of shares granted based upon the company’s attainment of specified performance targets at the end of a three-year period. Compensation expense related to these awards is recognized over the three-year performance period based on the fair value of the closing market price of the company’s ordinary shares on the date of the grant and the estimated performance that will be achieved. Compensation expense for ROC awards will be adjusted during the three-year performance period based upon the estimated performance levels that will be achieved. TSR awards are measured at their grant date fair value and not subsequently re-measured.

The weighted-average fair value of ROC performance-based stock awards granted in 2019 was $168.47, and during 2017 was $109.68. These fair values are based on the closing market price of Linde's ordinary shares on the grant date adjusted for dividends that will not be paid during the vesting period. There were no ROC performance-based stock awards granted in 2018.

The weighted-average fair value of performance-based stock tied to relative TSR performance granted in 2019 was $215.85, and during 2017 was $124.12, and was estimated using a Monte Carlo simulation performed as of the grant date. There were no performance-based stock tied to relative TSR performance granted in 2018.

Upon completion of the merger, each outstanding ROC and TSR performance-based award granted prior to 2018 was converted into a Linde RSU based on performance achieved as of immediately prior to the closing of the merger, and became subject to service-vesting conditions only. This resulted in the conversion of 435,000 performance-based shares into 704,000 restricted stock units. Compensation expense related to these awards will continue to be recognized over the remainder of the respective three-year service period.

There were 161,072 restricted stock units granted to employees by Linde during 2019. The weighted-average fair value of restricted stock units granted during 2019 was $165.04 ($144.86 in 2018 and $111.95 in 2017). These fair values are based on the closing market price of Linde's ordinary shares on the grant date adjusted for dividends that will not be paid during the vesting period. Compensation expense related to the restricted stock units is recognized over the vesting period.

The following table summarizes non-vested performance-based and restricted stock award activity as of December 31, 2019 and changes during the period then ended (shares based on target amounts, averages are calculated on a weighted basis):

Performance-BasedRestricted Stock
Number of Shares (000’s)Average Grant Date Fair ValueNumber of Shares (000’s)Average Grant Date Fair Value
Non-vested at January 1, 2019—$—1,071$118.84
Granted262184.29161165.04
Vested——(330)107.10
Cancelled and Forfeited(16)184.26(18)146.32
Non-vested at December 31, 2019246$184.29884$129.43

There are approximately 7 thousand performance-based shares and 11 thousand restricted stock shares that are non-vested at December 31, 2019 which will be settled in cash due to foreign regulatory limitations. The liability related to these grants reflects the current estimate of performance that will be achieved and the current share price.

As of December 31, 2019, $23 million of unrecognized compensation cost related to performance-based awards and $21 million of unrecognized compensation cost related to the restricted stock awards is expected to be recognized primarily through the first quarter of 2022.

NOTE 18. RETIREMENT PROGRAMS

Defined Benefit Pension Plans - U.S.

Linde has two main U.S. retirement programs which are non-contributory defined benefit plans: the Linde U.S. Pension Plan and the CBI Pension Plan. The latter program benefits primarily former employees of CBI Industries, Inc. which Linde acquired in 1996. Effective July 1, 2002, the Linde U.S. Pension Plan was amended to give participating employees a one-time choice to remain covered by the old formula or to elect coverage under a new formula. The old formula is based predominantly on years of service, age and compensation levels prior to retirement, while the new formula provides for an annual contribution to an individual account which grows with interest each year at a predetermined rate. Also, this new formula applies to all new employees hired after April 30, 2002 into businesses adopting this plan. The U.S. and international pension plan assets are comprised of a diversified mix of investments, including domestic and international corporate equities, government securities and corporate debt securities. Linde has several plans that provide supplementary retirement benefits primarily to higher level employees that are unfunded and are nonqualified for federal tax purposes. Pension coverage for employees of certain of Linde’s international subsidiaries generally is provided by those companies through separate plans. Obligations under such plans are primarily provided for through diversified investment portfolios, with some smaller plans provided for under insurance policies or by book reserves.

Defined Benefit Pension Plans - International

Linde has international, defined benefit commitments primarily in Germany and the United Kingdom (U.K.). The defined benefit commitments in Germany relate to old age pensions, invalidity pensions and surviving dependents pensions. These commitments also take into account vested rights for periods of service prior to January 1, 2002 based on earlier final-salary pension plan rules. In addition, there are direct commitments in respect of the salary conversion scheme for the form of cash balance plans. The resulting pension payments are calculated on the basis of an interest guarantee and the performance of the corresponding investment. There are no minimum funding requirements. The pension obligations in Germany are partly funded by a Contractual Trust Agreement (CTA). Defined benefit commitments in the U.K. prior to July 1, 2003 are earnings-related and dependent on the period of service. Such commitments relate to old age pensions, invalidity pensions and surviving dependents pensions. Beginning in April 1, 2011, the amount of future increases in inflation-linked pensions and of increases in pensionable emoluments was restricted.

Multi-employer Pension Plans

In the United States Linde participates in eight multi-employer defined benefit pension plans ("MEPs"), pursuant to the terms of collective bargaining agreements, that cover approximately 200 union-represented employees. The collective bargaining agreements expire on different dates through 2026. In connection with such agreements, the company is required to make periodic contributions to the MEPs in accordance with the terms of the respective collective bargaining agreements. Linde’s participation in these plans is not material either at the plan level or in the aggregate. Linde’s contributions to these plans were $2 million in 2019, 2018, and 2017 (these costs are not included in the tables that follow). For all MEPs, Linde’s contributions were significantly less than 1% of the total contributions to each plan for 2018 and 2017. Total 2019 contributions were not yet available from the MEPs.

Linde has obtained the most recently available Pension Protection Act ("PPA") annual funding notices from the Trustees of the MEPs. The PPA classifies MEPs as either Red, Yellow or Green Zone plans. Among other factors, plans in the Red Zone are generally less than 65 percent funded with a projected insolvency date within the next twenty years; plans in the Yellow Zone are generally 65 to 80 percent funded; and plans in the Green Zone are generally at least 80 percent funded. Red Zone plans are considered to be in "critical" or "critical and declining" status, while Yellow Zone plans are considered to be in "endangered" status. Plans that are in neither "critical" nor "endangered" status are considered to have Green Zone status. According to the most recent data available, four of the MEPs that the company participates in are in a Red Zone status and four are in a Green Zone status. As of December 31, 2019, the four Red Zone plans have pending or have implemented financial improvement or rehabilitation plans. Linde does not currently anticipate significant future obligations due to the funding status of these plans. If Linde determined it was probable that it would withdraw from an MEP, the company would record a liability for its portion of the MEP’s unfunded pension obligations, as calculated at that time. Historically, such withdrawal payments have not been significant.

Defined Contribution Plans

Linde’s U.S. business employees are eligible to participate in the Linde defined contribution savings plan. Employees may contribute up to 40% of their compensation, subject to the maximum allowable by IRS regulations. For the U.S. packaged gases business, company contributions to this plan are calculated as a percentage of salary based on age plus service. U.S. employees other than those in the packaged gases business have company contributions to this plan calculated on a graduated scale based on employee contributions to the plan. The cost for these defined contribution plans was $47 million in 2019, $33 million in 2018 and $29 million in 2017 (these costs are not included in the tables that follow).

The defined contribution plans include a non-leveraged employee stock ownership plan ("ESOP") which covers all employees participating in this plan. The collective number of shares of Linde ordinary shares in the ESOP totaled 2,070,100 at December 31, 2019.

Certain international subsidiaries of the company also sponsor defined contribution plans where contributions are determined under various formulas. The expense for these plans was $95 million in 2019, $32 million in 2018 and $21 million in 2017 (these expenses are not included in the tables that follow).

Postretirement Benefits Other Than Pensions (OPEB)

Linde provides health care and life insurance benefits to certain eligible retired employees. These benefits are provided through various insurance companies and healthcare providers. The company does not currently fund its postretirement benefits obligations. Linde’s retiree plans may be changed or terminated by Linde at any time for any reason with no liability to current or future retirees.

Linde uses a measurement date of December 31 for its pension and other post-retirement benefit plans.

Pension and Postretirement Benefit Costs

The components of net pension and postretirement benefits other than pension ("OPEB") costs for 2019, 2018 and 2017 are shown in the table below (2018 reflects the impact of the Linde AG merger on October 31, 2018 (see Notes 1 and 3) and the divestiture of Praxair's European industrial gases business on December 3, 2018 (see Notes 1 and 4)):

(Millions of dollars) Year Ended December 31,PensionsOPEB
201920182017201920182017
Amount recognized in Operating Profit
Service cost$142$74$46$2$2$3
Amount recognized in Net pension and OPEB cost (benefit), excluding service cost
Interest cost261128103755
Expected return on plan assets(462)(219)(161)———
Net amortization and deferral617168(4)(3)(3)
Curtailment and termination benefits (a)8————(18)
Settlement charges (b)97142———
$(35)$(6)$12$3$2$(16)
Amount recognized in Net gain on sale of businesses
Settlement gains from divestitures (c)—(44)————
Net periodic benefit cost (benefit)$107$24$58$5$4$(13)

(a) In 2019, Linde recorded curtailment gains of $9 million and a charge of $17 million for termination benefits, primarily in connection with a defined benefit pension plan freeze. The curtailment gain recorded during the year ended December 31, 2017 resulted from the termination of an OPEB plan in South America in the first quarter.

(b) In the third and fourth quarters of 2019, Linde recorded pension settlement charges of $40 million and $6 million, respectively, related to lump sum payments made from a U.S. qualified plan. These payments were triggered by merger-related divestitures. In the first quarter of 2019, benefits of $91 million were paid related to the settlement of a U.S. non-qualified plan. Such benefits were triggered by a change in control provision and resulted in a settlement charge of $51 million.

2018 includes the impact of a $4 million charge and a $10 million charge recorded in the third and fourth quarters, respectively. In the third quarter, a series of lump sum benefit payments made from the U.S. supplemental pension plan triggered a settlement of the related pension obligation. In the fourth quarter, a change in control provision triggered the settlement of a U.S. non-qualified plan.

2017 includes the impact of a $2 million charge related to a series of lump sum benefit payments for employees under an international pension plan.

(c) In connection with Praxair merger-related divestitures, primarily the European industrial gases business, certain European pension plan obligations were settled. This resulted in the recognition of associated pension benefit obligations and deferred losses in accumulated other comprehensive income (loss) within operating profit in the "Net gain on sale of businesses" line item.

Funded Status

Changes in the benefit obligation and plan assets for Linde’s pension and OPEB programs, including reconciliation of the funded status of the plans to amounts recorded in the consolidated balance sheet, as of December 31, 2019 and 2018 are shown below.

(Millions of dollars) Year Ended December 31,Pensions
20192018OPEB
U.S.InternationalU.S.International20192018
Change in Benefit Obligation ("PBO")
Benefit obligation, January 1$2,508$7,533$2,215$725$184$146
Merger impact (a)——4156,920—53
Service cost38104423222
Interest cost81180745475
Divestitures (b)(1)——(106)——
Participant contributions—20—489
Plan amendment—13—1——
Actuarial loss (gain)2661,045(100)78(11)
Benefits paid(105)(333)(111)(84)(20)(19)
Plan settlement(235)—(27)———
Plan curtailment—(9)——2—
Foreign currency translation and other changes—136—(20)1(1)
Benefit obligation, December 31$2,552$8,689$2,508$7,533$192$184
Accumulated benefit obligation ("ABO")$2,464$8,553$2,428$7,385
Change in Plan Assets
Fair value of plan assets, January 1$1,952$6,292$1,655$567$—$—
Merger impact (a)——4755,880——
Actual return on plan assets341598(72)(88)——
Company contributions—94—75——
Benefits paid from plan assets(244)(268)(106)(69)——
Divestitures (b)(1)——(49)——
Foreign currency translation and other changes—172—(24)——
Fair value of plan assets, December 31$2,048$6,888$1,952$6,292$—$—
Funded Status, End of Year$(504)$(1,801)$(556)$(1,241)$(192)$(184)
Recorded in the Balance Sheet (Note 9)
Other long-term assets$—$78$47$93$—$—
Other current liabilities(6)(10)(94)(10)(11)(13)
Other long-term liabilities(498)(1,869)(509)(1,324)(181)(171)
Net amount recognized, December 31$(504)$(1,801)$(556)$(1,241)$(192)$(184)
Amounts recognized in accumulated other comprehensive income (loss) consist of:
Net actuarial loss (gain)$753$1,110$834$339$(10)$(23)
Prior service cost (credit)—4—10(4)(5)
Deferred tax benefit (Note 7)(190)(251)(212)(87)(5)7
Amount recognized in accumulated other comprehensive income (loss) (Note 9)$563$863$622$262$(19)$(21)

(a) Represents Linde AG plan assets and benefit obligations assumed as part of the merger. Such plan assets and benefit obligations were remeasured as of the merger date and all subsequent activity through December 31, 2018 is presented within the respective captions above.

(b) Represents plan assets and benefit obligations associated with the divestiture of the majority of the Praxair industrial gases business in Europe.

Comparative funded status information as of December 31, 2019 and 2018 for select international pension plans is presented in the table below as the benefit obligations of these plans are considered to be significant relative to the total benefit obligation:

United KingdomGermanyOther InternationalTotal International
(Millions of dollars)2019201920192019
Benefit obligation, December 31$5,221$2,180$1,288$8,689
Fair value of plan assets, December 314,7771,1199926,888
Funded Status, End of Year$(444)$(1,061)$(296)$(1,801)
United KingdomGermanyOther InternationalTotal International
(Millions of dollars)2018201820182018
Benefit obligation, December 31$4,444$1,916$1,173$7,533
Fair value of plan assets, December 314,3391,0439106,292
Funded Status, End of Year$(105)$(873)$(263)$(1,241)

The changes in plan assets and benefit obligations recognized in other comprehensive income in 2019 and 2018 are as follows:

PensionsOPEB
(Millions of dollars)2019201820192018
Current year net actuarial losses (gains)*$834$286$8$(11)
Amortization of net actuarial gains (losses)(59)(70)32
Divestitures—(12)——
Plan amendment(4)———
Amortization of prior service credits (costs)(2)(1)11
Pension settlements(97)(14)——
Curtailments——2—
Foreign currency translation and other changes12(16)—1
Total recognized in other comprehensive income$684$173$14$(7)

*Pension net actuarial losses in 2019 are largely driven by lower discount rates across all significant pension plans. In the U.S., the benefit from the actual return on assets more than offset the impacts of unfavorable liability experience, resulting from the low discount rate environment. For the international plans, the unfavorable impact of lower discount rates outweighed favorable plan asset experience. Pension net actuarial losses in 2018 are driven by lower U.S. discount rates, which more than offset favorable plan asset experience. OPEB net actuarial losses in 2019 relate to the low interest rate environment, which was partially offset by favorable actual benefit payment experience. Net actuarial gains in 2018 relate to the benefits from higher U.S. discount rates and favorable actual participant experience.

The amounts in accumulated other comprehensive income (loss) that are expected to be recognized as components of net periodic benefit cost during 2020 are as follows:

(Millions of dollars)PensionOPEB
Net actuarial loss (gain)$88$(2)
Prior service cost (credit)2(1)
$90$(3)

The following table provides information for pension plans where the accumulated benefit obligation exceeds the fair value of the plan assets:

(Millions of dollars) Year Ended December 31,Pensions
20192018
U.S.InternationalU.S.International
Projected benefit obligation ("PBO")$2,552$7,768$2,139$6,681
Accumulated benefit obligation ("ABO")$2,464$7,664$2,060$6,586
Fair value of plan assets$2,048$5,849$1,482$5,307

Assumptions

The assumptions used to determine benefit obligations are as of the respective balance sheet dates and the assumptions

used to determine net benefit cost are as of the previous year-end, as shown below:

Pensions
U.S.InternationalOPEB
201920182019201820192018
Weighted average assumptions used to determine benefit obligations at December 31,
Discount rate3.20%4.20%1.91%2.72%3.19%4.16%
Rate of increase in compensation levels3.25%3.25%2.46%2.38%N/AN/A
Weighted average assumptions used to determine net periodic benefit cost for years ended December 31,
Discount rate4.20%3.73%2.72%2.73%4.16%3.81%
Rate of increase in compensation levels3.25%3.25%2.38%2.45%N/AN/A
Expected long-term rate of return on plan assets (1)7.27%7.62%5.15%5.13%N/AN/A

(1)The expected long term rate of return on the U.S. and international plan assets is estimated based on the plans' investment strategy and asset allocation, historical capital market performance and, to a lesser extent, historical plan performance. For the U.S. plans, the expected rate of return of 7.27% was derived based on the target asset allocation of 40%-60% equity securities (approximately 8.5% expected return), 30%-50% fixed income securities (approximately 5.3% expected return) and 5%-15% alternative investments (approximately 6.8% expected return). For the international plans, the expected rate of return was derived based on the weighted average target asset allocation of 15%-25% equity securities (approximately 6.1% expected return), 30%-50% fixed income securities (approximately 4.8% expected return), and 30%-50% alternative investments (approximately 5.2% expected return). For the U.S. plan assets, the actual annualized total return for the most recent 10-year period ended December 31, 2019 was approximately 9.2%. For the international plan assets, the actual annualized total return for the same period was approximately 7.0%. Changes to plan asset allocations and investment strategy over this time period limit the value of historical plan performance as factor in estimating the expected long term rate of return. For 2020, the expected long-term rate of return on plan assets will be 7.00% for the U.S. plans. Expected weighted average returns for international plans will vary.
OPEB
Assumed healthcare cost trend rates20192018
Historical Praxair, Inc. plans
Healthcare cost trend assumed7.00%6.25%
Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)5.00%5.00%
Year that the rate reaches the ultimate trend rate20272023
Historical Linde AG plans
Healthcare cost trend assumed5.49%5.49%
Rate to which the cost trend rate is assumed to decline (the ultimate trend rate)4.50%4.50%
Year that the rate reaches the ultimate trend rate20382038

These healthcare cost trend rate assumptions have an impact on the amounts reported. However, cost caps limit the impact on the net OPEB benefit cost in the U.S. To illustrate the effect, a one-percentage point change in assumed healthcare

cost trend rates would have the following effects:

One-Percentage Point
(Millions of dollars)IncreaseDecrease
Effect on the total of service and interest cost components of net OPEB benefit cost$—$—
Effect on OPEB benefit obligation$7$(6)

Pension Plan Assets

The investments of the U.S. pension plan are managed to meet the future expected benefit liabilities of the plan over the long term by investing in diversified portfolios consistent with prudent diversification and historical and expected capital market returns. Investment strategies are reviewed by management and investment performance is tracked against appropriate benchmarks. There are no concentrations of risk as it relates to the assets within the plans. The international pension plans are managed individually based on diversified investment portfolios, with different target asset allocations that vary for each plan. Linde’s U.S. and international pension plans’ weighted-average asset allocations at December 31, 2019 and 2018, and the target asset allocation range for 2019, by major asset category, are as follows:

U.S.International
Asset CategoryTarget 2019Target 201820192018Target 2019Target 201820192018
Equity securities40%-60%40%-60%55%48%15%-25%15%-25%23%20%
Fixed income securities30%-50%30%-50%30%40%30%-50%30%-50%41%46%
Other5%-15%5%-15%15%13%30%-50%30%-40%36%34%

The following table summarizes pension assets measured at fair value by asset category at December 31, 2019 and 2018. During the years presented, there has been no transfer of assets between Levels 1, 2 and 3 (see Note 15 for definition of the levels):

Fair Value Measurements Using
Level 1Level 2**Level 3 ****Total
(Millions of dollars)20192018201920182019201820192018
Cash and cash equivalents$436$348$—$—$—$—$436$348
Equity securities:
Global equities1,3951,131————1,3951,131
Mutual funds110745243——162117
Fixed income securities:
Government bonds——1,6421,772——1,6421,772
Emerging market debt——459522——459522
Mutual funds2251091421——239130
Corporate bonds——401382——401382
Bank loans——210313——210313
Alternative investments:
Real estate funds————316298316298
Private debt————1,0036711,003671
Other investments——3333——3333
Liquid alternative——1,0871,192——1,0871,192
Total plan assets at fair value, December 31,$2,166$1,662$3,898$4,278$1,319$969$7,383$6,909
Pooled funds *1,5531,335
Total fair value plan assets December 31,$8,936$8,244
  • Pooled funds are measured using the net asset value ("NAV") as a practical expedient for fair value as permissible under the accounting standard for fair value measurements and have not been categorized in the fair value hierarchy.

** The following table summarizes changes in fair value of the pension plan assets classified as level 3 for the periods ended December 31, 2019 and 2018:

(Millions of dollars)Insurance ContractsReal Estate FundsPrivate DebtTotal
Balance, December 31, 2017$50$158$—$208
Assumed in Linde AG merger—148667815
Gain/(Loss) for the period—9413
Merger-related divestitures(49)——(49)
Sales—(17)—(17)
Foreign currency translation(1)——(1)
Balance, December 31, 2018$—$298$671$969
Gain/(Loss) for the period—243054
Acquisitions——1414
Purchases—26304330
Sales—(22)(33)(55)
Transfer into / (out of) Level 3—(10)—(10)
Foreign currency translation——1717
Balance, December 31, 2019$—$316$1,003$1,319

The descriptions and fair value methodologies for the company's pension plan assets are as follows:

Cash and Cash Equivalents – This category includes cash and short-term interest bearing investments with maturities of three months or less. Investments are valued at cost plus accrued interest. Cash and cash equivalents are classified within level 1 of the valuation hierarchy.

Equity Securities – This category is comprised of shares of common stock in U.S. and international companies from a diverse set of industries and size. Common stock is valued at the closing market price reported on a U.S. or international exchange where the security is actively traded. Equity securities are classified within level 1 of the valuation hierarchy.

Mutual Funds – These categories consist of publicly and privately managed funds that invest primarily in marketable equity and fixed income securities. The fair value of these investments is determined by reference to the net asset value of the underlying securities of the fund. Shares of publicly traded mutual funds are valued at the net asset value quoted on the exchange where the fund is traded and are primarily classified as level 1 within the valuation hierarchy.

U.S. and International Government Bonds – This category includes U.S. treasuries, U.S. federal agency obligations and international government debt. The majority of these investments do not have quoted market prices available for a specific government security and so the fair value is determined using quoted prices of similar securities in active markets and is classified as level 2 within the valuation hierarchy.

Corporate Bonds – This category is comprised of corporate bonds of U.S. and international companies from a diverse set of industries and size. The fair values for U.S. and international corporate bonds are determined using quoted prices of similar securities in active markets and observable data or broker or dealer quotations. The fair values for these investments are classified as level 2 within the valuation hierarchy.

Pooled Funds - Pooled fund NAVs are provided by the trustee and are determined by reference to the fair value of the underlying securities of the trust, less its liabilities, which are valued primarily through the use of directly or indirectly observable inputs. Depending on the pooled fund, underlying securities may include marketable equity securities or fixed income securities.

Bank Loans - This category is comprised of traded syndicated loans of larger corporate borrowers. Such loans are issued by sub-investment grade rated companies both in the U.S. and internationally and are syndicated by investment banks to institutional investors. They are regularly traded in an active dealer market comprised of large investment banks, which supply bid and offer quotes and are therefore classified within level 2 of the valuation hierarchy.

Liquid Alternative Investments - This category is comprised of investments in alternative mutual funds whose holdings include liquid securities, cash, and derivatives. Such funds focus on diversification and employ a variety of investing strategies including long/short equity, multi-strategy, and global macro. The fair value of these investments is determined by reference to the net asset value of the underlying holdings of the fund, which can be determined using observable data (e.g., indices, yield curves, quoted prices of similar securities), and is classified within level 2 of the valuation hierarchy.

Insurance Contracts – The fair value of insurance contracts is determined based on the cash surrender value of the insurance contract, which is determined based on such factors as the fair value of the underlying assets and discounted cash flows. These contracts are with highly rated insurance companies. Insurance contracts are classified within level 3 of the valuation hierarchy.

Real Estate Funds – This category includes real estate properties, partnership equities and investments in operating companies. The fair value of the assets is determined using discounted cash flows by estimating an income stream for the property plus a reversion into a present value at a risk adjusted rate. Yield rates and growth assumptions utilized are derived from market transactions as well as other financial and industry data. The fair value for these investments are classified within level 3 of the valuation hierarchy.

Private Debt - This category includes non-traded, privately-arranged loans between one or a small group of private debt investment managers and corporate borrowers, which are typically too small to access the syndicated market and have no credit rating. This category also includes similar loans to real estate companies or individual properties. Loans included in this category are valued at par value, are held to maturity or to call, and are classified within level 3 of the valuation hierarchy.

Contributions

At a minimum, Linde contributes to its pension plans to comply with local regulatory requirements (e.g., ERISA in the United States). Discretionary contributions in excess of the local minimum requirements are made based on many factors, including long-term projections of the plans' funded status, the economic environment, potential risk of overfunding, pension insurance costs and alternative uses of the cash. Changes to these factors can impact the timing of discretionary contributions from year to year. Pension contributions were $94 million in 2019, $87 million in 2018 and $19 million in 2017. Estimated required contributions for 2020 are currently expected to be in the range of $50 million to $80 million.

Estimated Future Benefit Payments

The following table presents estimated future benefit payments, net of participant contributions:

(Millions of dollars)Pensions
Year Ended December 31,U.S.InternationalOPEB
2020$187$311$15
202114332314
202216433514
202314734214
202414935212
2025-202976087955

NOTE 19. COMMITMENTS AND CONTINGENCIES

The company accrues non income-tax liabilities for contingencies when management believes that a loss is probable and the amounts can be reasonably estimated, while contingent gains are recognized only when realized. In the event any losses are sustained in excess of accruals, they will be charged against income at that time. Attorney fees are recorded as incurred. Commitments represent obligations, such as those for future purchases of goods or services, that are not yet recorded on the company’s balance sheet as liabilities. The company records liabilities for commitments when incurred (i.e., when the goods or services are received).

Contingent Liabilities

Linde is subject to various lawsuits and government investigations that arise from time to time in the ordinary course of business. These actions are based upon alleged environmental, tax, antitrust and personal injury claims, among others. Linde has strong defenses in these cases and intends to defend itself vigorously. It is possible that the company may incur losses in connection with some of these actions in excess of accrued liabilities. Management does not anticipate that in the aggregate such losses would have a material adverse effect on the company’s consolidated financial position or liquidity; however, it is possible that the final outcomes could have a significant impact on the company’s reported results of operations in any given period.

Significant matters are:

•During May 2009, the Brazilian government published Law 11941/2009 instituting a new voluntary amnesty program (“Refis Program”) which allowed Brazilian companies to settle certain federal tax disputes at reduced amounts. During the 2009 third quarter, the company decided that it was economically beneficial to settle many of its outstanding federal tax disputes and such disputes were enrolled in the Refis Program, subject to final calculation and review by the Brazilian federal government. The company recorded estimated liabilities based on the terms of the Refis Program. Since 2009, Linde has been unable to reach final agreement on the calculations and initiated litigation against the government in an attempt to resolve certain items. Open issues relate to the following matters: (i) application of cash deposits and net operating loss carryforwards to satisfy obligations and (ii) the amount of tax reductions available under the Refis Program. It is difficult to estimate the timing of resolution of legal matters in Brazil.
•At December 31, 2019 the most significant non-income and income tax claims in Brazil, after enrollment in the Refis Program, relate to state VAT tax matters and a federal income tax matter where the taxing authorities are challenging the tax rate that should be applied to income generated by a subsidiary company. The total estimated exposure relating to such claims, including interest and penalties, as appropriate, is approximately $260 million. Linde has not recorded any liabilities related to such claims based on management judgments, after considering judgments and opinions of outside counsel. Because litigation in Brazil historically takes many years to resolve, it is very difficult to estimate the timing of resolution of these matters; however, it is possible that certain of these matters may be resolved within the near term. The company is vigorously defending against the proceedings.
•On September 1, 2010, CADE (Brazilian Administrative Council for Economic Defense) announced alleged anticompetitive activity on the part of five industrial gas companies in Brazil and imposed fines. Originally, CADE imposed a civil fine of R$2.2 billion Brazilian reais ($546 million) on White Martins, the Brazil-based subsidiary of Praxair, Inc. The fine was reduced to R$1.7 billion Brazilian reais ($422 million) due to a calculation error made by CADE. On September 14, 2015, the fine against White Martins was overturned by the Ninth Federal Court of Brasilia. CADE appealed this decision on June 30, 2016.

Similarly, on September 1, 2010, CADE imposed a civil fine of R$237 million Brazilian reais ($59 million) on Linde Gases Ltda., the former Brazil-based subsidiary of Linde AG, which was divested to MG Industries GmbH on March 1, 2019 and with respect to which Linde provided a contractual indemnity. The fine was reduced to R$188 million Brazilian reais ($47 million) due to a calculation error made by CADE. On May 6, 2014 the fine against Linde Gases Ltda. was overturned by the Seventh Federal Court in Brasilia. CADE appealed this decision on October 27, 2016.

Linde has strong defenses and is confident that it will prevail on appeal and have the fines overturned. Linde strongly believes that the allegations of anticompetitive activity against our current and former Brazilian subsidiaries are not supported by valid and sufficient evidence. Linde believes that this decision will not stand up to judicial review and deems the possibility of cash outflows to be extremely unlikely. As a result, no reserves have been recorded as management does not believe that a loss from this case is probable.

•On and after April 23, 2019 former shareholders of Linde AG filed appraisal proceedings at the District Court (Landgericht) Munich I (Germany), seeking an increase of the cash consideration paid in connection with the previously completed cash merger squeeze-out of all of Linde AG’s minority shareholders for €189.46 per share. Any such increase would apply to all 14,763,113 Linde AG shares that were outstanding on April 8, 2019, when the cash merger squeeze-out was completed. The period for plaintiffs to file claims expired on July 9, 2019. The company believes the consideration paid was fair and that the claims lack merit, and no reserve has been established. We cannot estimate the timing of resolution.

Commitments

At December 31, 2019, Linde had undrawn outstanding letters of credit, bank guarantees and surety bonds valued at approximately $3,276 million from financial institutions. These relate primarily to customer contract performance guarantees (including plant construction in connection with certain on-site contracts), self-insurance claims and other commercial and governmental requirements, including foreign litigation matters.

Other commitments related to leases, tax liabilities for uncertain tax positions, long-term debt, other post retirement and pension obligations are summarized elsewhere in the financial statements (see Notes 6, 7, 13, and 18).

NOTE 20. SEGMENT INFORMATION

Effective October 31, 2018, Praxair and Linde AG completed the previously announced merger, resulting in the formation of Linde plc (see Note 1 for additional information on the merger). As a result of the merger and effective with the lifting of the hold separate order effective on March 1, 2019, new operating segments were created which are used by the company's Chief Operating Decision Maker ("CODM") to allocate company resources and assess performance. Linde’s operations consist of two major product lines: industrial gases and engineering. As further described in the following paragraph, Linde’s industrial gases operations are managed on a geographic basis, which represent three of the company's new reportable segments - Americas, EMEA (Europe/Middle East/Africa), and APAC (Asia/South Pacific); a fourth reportable segment which represents the company's Engineering business, designs and manufactures equipment for air separation and other industrial gas applications specifically for end customers and is managed on a worldwide basis operating in all three geographic segments. Other consists of corporate costs and a few smaller businesses which individually do not meet the quantitative thresholds for separate presentation.

The industrial gases product line centers on the manufacturing and distribution of atmospheric gases (oxygen, nitrogen, argon, rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, acetylene). Many of these products are co-products of the same manufacturing process. Linde manufactures and distributes nearly all of its products and manages its customer relationships on a regional basis. Linde’s industrial gases are distributed to various end-markets within a regional segment through one of three basic distribution methods: on-site or tonnage; merchant or bulk; and packaged or cylinder gases. The distribution methods are generally integrated in order to best meet the customer’s needs and very few of its products can be economically transported outside of a region. Therefore, the distribution economics are specific to the various geographies in which the company operates and are consistent with how management assesses performance.

The company’s measure of profit/loss for segment reporting purposes remains unchanged - Segment operating profit. Segment operating profit is defined as operating profit excluding purchase accounting impacts of the Linde AG merger, intercompany royalties, and items not indicative of ongoing business trends. This is the manner in which the company’s CODM assesses performance and allocates resources. Similarly, total assets have not been included as this is not provided to the CODM for their assessment. For a description of Linde's previous operating segments, refer to Note 20 to the consolidated financial statements of Linde's 2018 Annual Report on Form 10-K.

The table below presents information about reportable segments for the years ended December 31, 2019, 2018 and 2017. The year ended December 31, 2019 reflects the results of both Praxair and Linde AG for the entire year. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date), including the impacts of purchase accounting (See Notes 1, 3 and 4 to the consolidated financial statements). The historical periods prior to 2018 reflect the results of Praxair. Prior periods presented have been recast to be consistent with the new segment structure:

(Millions of dollars)201920182017
Sales (a)
Americas$10,993$8,017$7,204
EMEA6,6432,6441,520
APAC5,8392,4461,571
Engineering2,799459N/A
Other1,9541,2701,063
Total Sales$28,228$14,836$11,358
201920182017
Operating Profit
Americas$2,578$2,053$1,854
EMEA1,367481317
APAC1,198465329
Engineering39014N/A
Other(245)(37)(4)
Segment operating profit5,2882,9762,496
Cost reduction programs and other charges(567)(309)(52)
Net gain on sale of business1643,294N/A
Purchase accounting impacts - Linde AG(1,952)(714)N/A
Total operating profit$2,933$5,247$2,444
201920182017
Depreciation and Amortization
Americas$1,195$860$778
EMEA749269168
APAC613271178
Engineering355N/A
Other1437960
Segment depreciation and amortization2,7351,4841,184
Purchase accounting impacts - Linde AG1,940346N/A
Total depreciation and amortization$4,675$1,830$1,184
201920182017
Capital Expenditures and Acquisitions
Americas$1,814$1,068$921
EMEA738329141
APAC1,231372207
Engineering7927N/A
Other4511275
Total Capital Expenditures and Acquisitions$3,907$1,908$1,344
201920182017
Sales by Major Country
United States$8,604$5,942$4,973
Germany3,630868401
China2,0051,032735
United Kingdom1,653398131
Australia1,127183N/A
Brazil9941,0031,100
Other – foreign10,2155,4104,018
Total Sales by Major Country$28,228$14,836$11,358
201920182017
Long-lived Assets by Major Country (b)
United States$7,498$7,189$4,979
Germany2,4292,411413
China2,2542,2371,060
United Kingdom1,4791,58255
Australia1,2141,476N/A
Brazil9561,0121,204
Other – foreign13,23413,8104,114
Total long-lived assets$29,064$29,717$11,825

(a)Sales reflect external sales only and include Linde AG sales from the merger date of October 31, 2018 forward. Intersegment sales, primarily from Engineering to the industrial gases segments, were not material.
(b)Long-lived assets include property, plant and equipment - net and reflect the impact of the merger with Linde AG (refer to Note 3).

21. REVENUE RECOGNITION

Revenue is accounted for in accordance with ASC 606. Revenue is recognized as control of goods or services are transferred to customers in an amount that reflects the consideration to which an entity expects to be entitled to receive in exchange for the goods or services.

Contracts with Customers

Approximately 83% of Linde's consolidated sales are generated from industrial gases and related products in three geographic segments (Americas, EMEA, and APAC) and the remaining 17% is related primarily to the Engineering segment, and to a lesser extent Other (see Note 20 for operating segment details). Linde serves a diverse group of industries including healthcare, energy, manufacturing, food, beverage carbonation, fiber-optics, steel making, aerospace, chemicals and water treatment.

Industrial Gases

Within each of the company’s geographic segments for industrial gases, there are three basic distribution methods: (i) on-site or tonnage; (ii) merchant or bulk liquid; and (iii) packaged or cylinder gases. The distribution method used by Linde to supply a customer is determined by many factors, including the customer’s volume requirements and location. The distribution method generally determines the contract terms with the customer and, accordingly, the revenue recognition accounting practices. Linde's primary products in its industrial gases business are atmospheric gases (oxygen, nitrogen, argon, rare gases) and process gases (carbon dioxide, helium, hydrogen, electronic gases, specialty gases, acetylene). These products are generally sold through one of the three distribution methods.

Following is a description of each of the three industrial gases distribution methods and the respective revenue recognition policies:

On-site. Customers that require the largest volumes of product and that have a relatively constant demand pattern are supplied by cryogenic and process gas on-site plants. Linde constructs plants on or adjacent to these customers’ sites and supplies the product directly to customers by pipeline. Where there are large concentrations of customers, a single pipeline may be connected to several plants and customers. On-site product supply contracts generally are total requirement contracts with terms typically ranging from 10-20 years and contain minimum purchase requirements and price escalation provisions. Many of the cryogenic on-site plants also produce liquid products for the merchant market. Therefore, plants are typically not dedicated to a single customer. Additionally, Linde is responsible for the design, construction, operations and maintenance of the plants and our customers typically have no involvement in these activities. Advanced air separation processes also allow on-site delivery to customers with smaller volume requirements.

The company’s performance obligations related to on-site customers are satisfied over time as customers receive and obtain control of the product. Linde has elected to apply the practical expedient for measuring progress towards the completion of a performance obligation and recognizes revenue as the company has the right to invoice each customer, which generally corresponds with product delivery. Accordingly, revenue is recognized when product is delivered to the customer and the company has the right to invoice the customer in accordance with the contract terms. Consideration in these contracts is generally based on pricing which fluctuates with various price indices. Variable components of consideration exist within on-site contracts but are considered constrained.

Merchant. Merchant deliveries generally are made from Linde's plants by tanker trucks to storage containers at the customer's site. Due to the relatively high distribution cost, merchant oxygen and nitrogen generally have a relatively small distribution radius from the plants at which they are produced. Merchant argon, hydrogen and helium can be shipped much longer distances. The customer agreements used in the merchant business are usually three to seven year supply agreements based on the requirements of the customer. These contracts generally do not contain minimum purchase requirements or volume commitments.

The company’s performance obligations related to merchant customers are generally satisfied at a point in time as the customers receive and obtain control of the product. Revenue is recognized when product is delivered to the customer and the company has the right to invoice the customer in accordance with the contract terms. Any variable components of consideration within merchant contracts are constrained however this consideration is not significant.

Packaged Gases. Customers requiring small volumes are supplied products in containers called cylinders, under medium to high pressure. Linde distributes merchant gases from its production plants to company-owned cylinder filling plants where cylinders are then filled for distribution to customers. Cylinders may be delivered to the customer’s site or picked up by the customer at a packaging facility or retail store. Linde invoices the customer for the industrial gases and the use of the cylinder container(s). The company also sells hardgoods and welding equipment purchased from independent manufacturers. Packaged gases are generally sold under one to three-year supply contracts and purchase orders and do not contain minimum purchase requirements or volume commitments.

The company’s performance obligations related to packaged gases are satisfied at a point in time. Accordingly, revenue is recognized when product is delivered to the customer or when the customer picks up product from a packaged gas facility or retail store, and the company has the right to payment from the customer in accordance with the contract terms. Any variable consideration is constrained and will be recognized when the uncertainty related to the consideration is resolved.

Linde Engineering

The company designs and manufactures equipment for air separation and other industrial gas applications manufactured specifically for end customers. Sale of equipment contracts are generally comprised of a single performance obligation. Revenue from sale of equipment is generally recognized over time as Linde has an enforceable right to payment for performance completed to date and performance does not create an asset with alternative use. For contracts recognized over time, revenue is recognized primarily using a cost incurred input method. Costs incurred to date relative to total estimated costs at completion are used to measure progress toward satisfying performance obligations. Costs incurred include material, labor, and overhead costs and represent work contributing and proportionate to the transfer of control to the customer. Contract modifications are typically accounted for as part of the existing contract and are recognized as a cumulative adjustment for the inception-to-date effect of such change.

Contract Assets and Liabilities

Contract assets and liabilities result from differences in timing of revenue recognition and customer invoicing. Contract assets primarily relate to sale of equipment contracts for which revenue is recognized over time. The balance represents unbilled revenue which occurs when revenue recognized under the measure of progress exceeds amounts invoiced to customers. Customer invoices may be based on the passage of time, the achievement of certain contractual milestones or a combination of both criteria. Contract liabilities include advance payments or right to consideration prior to performance under the contract. Contract liabilities are recognized as revenue as performance obligations are satisfied under contract terms. Linde has contract assets of $368 million at December 31, 2019. Total contract liabilities are $2,106 million at December 31, 2019 (current of $1,758 million and $348 million within other long-term liabilities in the consolidated balance sheets). Total contract liabilities were $1,934 million at December 31, 2018 (current contract liabilities of $1,546 million, $234 million classified as deferred income within other current liabilities and $154 million in other long-term liabilities in the consolidated balance sheets). Revenue recognized for the twelve months ended December 31, 2019 that was included in the contract liability at December 31, 2018 was $1,168 million. Contract assets and liabilities primarily relate to the Linde Engineering business acquired in the merger. The industrial gases business does not typically have material contract assets or liabilities.

Payment Terms and Other

Linde generally receives payment after performance obligations are satisfied, and customer prepayments are not typical for the industrial gases business. Payment terms vary based on the country where sales originate and local customary payment practices. Linde does not offer extended financing outside of customary payment terms. Amounts billed for sales and use taxes, value-added taxes, and certain excise and other specific transactional taxes imposed on revenue producing transactions are presented on a net basis and are not included in sales within the consolidated statement of income. Additionally, sales returns and allowances are not a normal practice in the industry and are not significant.

Disaggregated Revenue Information

As described above and in Note 20, the company manages its industrial gases business on a geographic basis, while the Engineering and Other businesses are generally managed on a global basis. Furthermore, the company believes that reporting sales by distribution method by reportable geographic segment best illustrates the nature, timing, type of customer, and contract terms for its revenues, including terms and pricing.

The following tables show sales by distribution method at the consolidated level and for each reportable segment and Other for the years ended December 31, 2019 and 2018. The year ended December 31, 2019 reflects the results of both Praxair and Linde AG for the entire year. The year ended December 31, 2018 reflects the results of Praxair for the entire year and the results of Linde AG for the period beginning after October 31, 2018 (the merger date),

(Millions of dollars)Year Ended December 31, 2019
SalesAmericasEMEAAPACEngineeringOtherTotal%
Merchant$2,946$1,856$2,080$—$184$7,06625%
On-Site2,7581,4342,060——6,25222%
Packaged Gas5,1853,3471,562—1910,11336%
Other10461372,7991,7514,79717%
$10,993$6,643$5,839$2,799$1,954$28,228100%
(Millions of dollars)Year Ended December 31, 2018
SalesAmericasEMEAAPACEngineeringOtherTotal%
Merchant$2,775$832$826$—$119$4,55231%
On-Site2,4055361,156——4,09728%
Packaged Gas2,8001,271443—34,51730%
Other375214591,1481,67011%
$8,017$2,644$2,446$459$1,270$14,836100%

Remaining Performance Obligations

As described above, Linde's contracts with on-site customers are under long-term supply arrangements which generally require the customer to purchase their requirements from Linde and also have minimum purchase requirements. The company estimates the consideration related to minimum purchase requirements is approximately $48 billion. This amount excludes all sales above minimum purchase requirements, which can be significant depending on customer needs. In the future, actual amounts will be different due to impacts from several factors, many of which are beyond the company’s control including, but not limited to, timing of newly signed, terminated and renewed contracts, inflationary price escalations, currency exchange rates, and pass-through costs related to natural gas and electricity. The actual duration of long-term supply contracts ranges up to twenty years. The company estimates that approximately half of the revenue related to minimum purchase requirements will be earned in the next five years and the remaining thereafter.

NOTE 22. QUARTERLY DATA (UNAUDITED)

(Dollar amounts in millions, except per share data)

20191Q (a)2Q (a)3Q (a)4Q (a)YEAR (a)
Sales$6,944$7,204$7,000$7,080$28,228
Cost of sales, exclusive of depreciation and amortization4,1164,2804,0614,18716,644
Depreciation and amortization1,2231,1951,0951,1624,675
Operating profit6096691,0006552,933
Net income – Linde plc5175227355112,285
Income from continuing operations4355137285072,183
Income from discontinued operations82974102
Basic Per Share Data
Income from continuing operations$0.80$0.95$1.35$0.94$4.03
Income from discontinued operations0.150.020.010.010.19
Weighted average shares (000’s)545,554542,561539,753536,768541,094
Diluted Per Share Data
Income from continuing operations$0.79$0.94$1.34$0.94$4.00
Income from discontinued operations0.150.020.010.010.19
Weighted average shares (000’s)549,147546,488543,616540,919545,170
20181Q (a)2Q (a)3Q (a)4Q (a)YEAR (a)
Sales$2,983$3,044$3,008$5,801$14,836
Cost of sales, exclusive of depreciation and amortization1,6611,7061,6983,9559,020
Depreciation and amortization3113113069021,830
Operating profit6536896693,2365,247
Net income – Linde plc4624804612,9784,381
Income from continuing operations4624804612,8704,273
Income from discontinued operations———108108
Basic Per Share Data
Income from continuing operations*$1.61$1.67$1.60$6.27$12.93
Income from discontinued operations*———0.240.33
Weighted average shares (000’s)287,504287,803288,093457,518330,401
Diluted Per Share Data
Income from continuing operations*$1.59$1.65$1.58$6.22$12.79
Income from discontinued operations*———0.230.32
Weighted average shares (000’s)290,809290,908291,513461,150334,127
*Due to quarterly changes in the share count as a result of the merger the sum of the four quarters does not equal the earnings per share amount calculated for the year.
(a)2019 and 2018 include the impact of the following matters (see Notes 3, 4, 5, 7, 13 and 18):
(Millions of dollars)Operating Profit/ (Loss)Income from Continuing Operations
Q1
Cost reduction programs and other charges$(89)$(81)
Pension settlement charge—(38)
Purchase accounting impacts - Linde AG(531)(378)
Q2
Cost reduction programs and other charges(141)(123)
Purchase accounting impacts - Linde AG(515)(368)
Q3
Cost reduction programs and other charges(125)(91)
Pension settlement charge—(30)
Purchase accounting impacts - Linde AG(425)(312)
Gain on sale of business164108
Q4
Cost reduction programs and other charges(212)(160)
Pension settlement charge—(4)
Purchase accounting impacts - Linde AG(481)(354)
Year 2019$(2,355)$(1,831)
(Millions of dollars)Operating Profit/ (Loss)Income from Continuing Operations
Q1
Cost reduction programs and other charges$(19)$(18)
Q2
Cost reduction programs and other charges(24)(21)
Q3
Cost reduction programs and other charges(31)(29)
Pension settlement charge—(3)
Q4
Cost reduction programs and other charges(235)(238)
Gain on sale of business3,2942,923
Bond redemption—(20)
Pension settlement charge—(8)
Tax Act and other tax charges—17
Purchase accounting impacts - Linde AG(714)(451)
Year 2018$2,271$2,152
ITEM 9.CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE

None.

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