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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2021
Share-based Payment Arrangement [Abstract]  
Stock-based compensation expense
We measure the cost of all share-based payments, including stock options and stock appreciation rights, at fair value on the grant date and recognize this cost in the Consolidated Statement of Operations, net of expected forfeitures, as follows:
(dollars in millions)202120202019
Total compensation cost recognized$442 $330 $268 
Schedule of Stock Options Roll Forward [Table Text Block]
A summary of the transactions under our long-term incentive plans for the year ended December 31, 2021 follows.
 Stock OptionsStock Appreciation RightsPerformance Share UnitsRestricted Stock and RSUs
(shares and units in thousands)Shares
Average
Price (1)
Shares
Average
Price (1)
Units
Average
Price (1)
Units
Average
Price (1)
Outstanding at:
December 31, 20201,944 $77.88 33,550 $77.93 — $— 11,034 $62.92 
Granted64 72.49 2,371 73.07 1,339 73.75 4,426 73.28 
Exercised / earned(109)61.85 (2,291)61.90   (3,431)64.77 
Cancelled(50)88.01 (569)81.90 (74)73.65 (586)65.44 
December 31, 20211,849 $78.36 33,061 $78.62 1,265 $73.75 11,443 $66.18 
(1)    Weighted-average grant / exercise price.
Disclosure Of Share Based Compensation Arrangements By Share Based Payment Award Text Block
The following table summarizes information about equity awards outstanding that are vested and expected to vest as well as equity awards outstanding that are exercisable at December 31, 2021:
 Equity Awards Vested and Expected to VestEquity Awards That Are Exercisable
(shares in thousands; aggregate intrinsic value in millions)Awards
Average
Price (1)
Aggregate
Intrinsic
Value
Remaining Term (2)
Awards
Average
Price (1)
Aggregate
Intrinsic
Value
Remaining Term (2)
Stock Options1,841 $78.33 $7.711,029 $76.04 $11 4.30
Stock Appreciation Rights32,860 78.60 155 7.8219,276 77.34 176 4.46
Performance Share Units1,127 73.76 97 2.11
Restricted Stock and RSUs10,660 66.29 1,174 1.61
(1)    Weighted-average exercise price per share.
(2)    Weighted-average contractual remaining term in years.
Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions [Table Text Block] Lattice-based option models incorporate ranges of assumptions for inputs; those ranges are as follows:
202120202019
Expected volatility
29.9%
18.8%
18.8% - 19.7%
Weighted-average volatility30 %19 %20 %
Expected term (in years)
6.5
6.5
6.5 - 6.6
Expected dividend yield2.6 %1.9 %2.4 %
Risk-free rate
0.04% - 1.2%
1.4% - 1.6%
2.3% - 2.7%