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Stock-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2024
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)202420232022
Total compensation cost recognized$437 $425 $420 
Schedule of Stock Options Roll Forward
A summary of the transactions under our long-term incentive plans for the year ended December 31, 2024 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, 20231,461 $81.72 31,155 $82.36 3,001 $87.33 9,730 $86.53 
Granted (3)
117 91.04 2,993 91.03 1,535 83.67 3,761 91.95 
Exercised / earned (3)
(322)79.37 (8,089)79.62 (1,762)71.69 (4,166)74.18 
Cancelled(1)83.58 (313)90.12 (73)94.58 (422)90.08 
December 31, 20241,255 $83.18 25,746 $84.13 2,701 $95.26 8,903 $94.32 
(1)    Weighted-average exercise price per share.
(2)    Weighted-average grant date fair value per share.
(3)    Performance Share Units includes an adjustment for actual performance achieved on the 2021 award of 513 thousand units.
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, 2024:
 Equity Awards Vested and Expected to VestEquity Awards That Are Exercisable
(shares in thousands; aggregate intrinsic value in millions)AwardsAverage PriceAggregate Intrinsic Value
Remaining Term (3)
AwardsAverage PriceAggregate Intrinsic Value
Remaining Term (3)
Stock Options (1)
1,252 $83.16 $41 4.9970 $80.04 $35 3.93
Stock Appreciation Rights (1)
25,624 84.09 811 5.3218,325 80.22 650 4.19
Performance Share Units (2)
2,659 95.28 308 1.14
Restricted Stock and RSUs (2)
8,581 94.35 993 1.58
(1)    Average Price is weighted-average exercise price per share.
(2)    Average Price is weighted-average grant date fair value per share.
(3)    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:
202420232022
Expected volatility
24.7%
26.2%
27.9%
Weighted-average volatility25 %26 %28 %
Expected term (in years)
6.9
6.7
6.5
Expected dividend yield2.6 %2.3 %2.2 %
Risk-free rate
4.1% - 5.4%
3.6% - 4.8%
0.02% - 2.1%