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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2023
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)202320222021
Total compensation cost recognized$425 $420 $442 
Schedule of Stock Options Roll Forward
A summary of the transactions under our long-term incentive plans for the year ended December 31, 2023 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 (2)
Outstanding at:
December 31, 20221,657 $80.67 32,032 $81.04 2,150 $83.52 9,757 $78.40 
Granted90 97.65 2,664 97.66 965 96.39 3,353 97.33 
Exercised / earned(271)79.80 (3,190)80.97 (3)87.36 (2,789)70.13 
Cancelled(15)91.68 (351)91.10 (111)92.16 (591)84.93 
December 31, 20231,461 $81.72 31,155 $82.36 3,001 $87.33 9,730 $86.53 
(1)    Weighted-average exercise price per share.
(2)    Weighted-average grant date fair value per share.
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, 2023:
 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 Options1,459 $81.69 $4.951,241 $80.18 $4.38
Stock Appreciation Rights31,037 82.31 166 5.2024,430 80.04 150 4.37
Performance Share Units2,962 87.22 249 1.00
Restricted Stock and RSUs9,431 86.38 794 1.37
(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:
202320222021
Expected volatility
26.2%
27.9%
29.9%
Weighted-average volatility26 %28 %30 %
Expected term (in years)
6.7
6.5
6.5
Expected dividend yield2.3 %2.2 %2.6 %
Risk-free rate
3.6% - 4.8%
0.02% - 2.1%
0.04% - 1.2%