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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2022
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)202220212020
Total compensation cost recognized$420 $442 $330 
Schedule of Stock Options Roll Forward
A summary of the transactions under our long-term incentive plans for the year ended December 31, 2022 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 (2)
Units
Average Price (1)
Outstanding at:
December 31, 20211,849 $78.36 33,061 $78.62 1,265 $73.75 11,443 $66.18 
Granted102 94.04 3,225 94.06 990 96.15 3,441 97.76 
Exercised / earned(283)70.20 (3,827)70.53 (1)80.53 (4,476)62.03 
Cancelled(11)94.04 (427)86.34 (104)85.06 (651)78.38 
December 31, 20221,657 $80.67 32,032 $81.04 2,150 $83.52 9,757 $78.40 
(1)    Weighted-average exercise price.
(2)    Weighted-average grant date fair value.
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, 2022:
 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 Options1,654 $80.61 $34 5.361,182 $77.13 $28 4.47
Stock Appreciation Rights31,896 81.01 635 5.5622,118 77.68 514 4.52
Performance Share Units2,105 83.41 212 1.48
Restricted Stock and RSUs9,417 78.02 950 1.54
(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 Lattice-based option models incorporate ranges of assumptions for inputs; those ranges are as follows:
202220212020
Expected volatility
27.9%
29.9%
18.8%
Weighted-average volatility28 %30 %19 %
Expected term (in years)
6.5
6.5
6.5
Expected dividend yield2.2 %2.6 %1.9 %
Risk-free rate
0.02% - 2.1%
0.04% - 1.2%
1.4% - 1.6%