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Stock Plans (Tables)
12 Months Ended
Dec. 31, 2018
Table Text Block [Abstract]  
Summary of Stock Option and RSA Activity

A summary of stock option and RSA/RSU activity as of December 31, 2018, and changes during the year, is presented below:

  Stock Options  RSAs/RSUs
(Shares in thousands)SharesWeighted-Average Exercise PriceSharesWeighted-AverageGrantPrice
Outstanding as of December 31, 20177,262$58.92  7,215$70.29
Granted  28298.47  2,22198.20
Exercised/vested  (1,844)46.95  (2,407)77.41
Forfeited  (216)65.36  (463)78.80
Expired    
Outstanding as of December 31, 20185,48464.73  6,566$76.52
Options vested and expected to vest as of December 31, 20185,47364.73
Options exercisable as of December 31, 20183,230$57.04  
Weighted-average remaining contractual life and aggregate intrinsic value of the Company's stock options outstanding, exerciseable, and vested and expected to vest

The weighted-average remaining contractual life and the aggregate intrinsic value (the amount by which the fair value of our stock exceeds the exercise price of the option) of the stock options outstanding, exercisable, vested, and expected to vest as of December 31, 2018, were as follows:

OutstandingExercisableVested and Expected to Vest
Weighted-average remaining contractual life (in years)5.6  4.0  5.6
Aggregate intrinsic value (millions)  $169  $124  $168
Weighted Average Assumptions Used

The fair value of each option is estimated on the date of grant using a Black-Scholes-Merton option-pricing model. The following weighted-average assumptions were used for options granted in 2018, 2017 and 2016:

201820172016
Dividend yield1.41.81.9
Expected volatility(a)222425
Risk-free interest rate2.72.31.5
Expected life of stock option (in years)(b)7.1  6.9  6.3  
Weighted-average fair value per option$23.17  $18.18  $13.67  

  • The expected volatility is based on both weighted historical and implied volatilities of our common stock price.
  • The expected life of stock options was determined using both historical data and expectations of option exercise behavior.
Special Stock Option Assumptions [Text Block]

On October 31, 2017, certain senior executives were awarded stock options with a term of seven years, and include a three-year service condition, as well as performance and market conditions. Therefore, the fair values of these options were estimated at the grant date using a Monte Carlo Valuation model with the following assumptions:

October 31, 2017
Dividend yield1.58
Expected volatility(a)21.41
Risk-free interest rate2.26
Expected life of stock option (in years)7  
Fair value per option$19.18  

The expected volatility is based on both weighted historical and implied volatilities of our common stock price.

Summary of Stock Plan Expenses

The components of our total stock-based compensation expense (net of forfeitures) for the years ended December 31 are as follows:

(Millions)  2018  2017  2016
Restricted stock awards(a)  $181  $170  $178
Stock options(a)  19  21  14
Liability-based awards  88  92  60
Total stock-based compensation expense (b)  $288  $283  $252

  • As of December 31, 2018, the total unrecognized compensation cost related to unvested RSAs/RSUs and options of $179 million and $12 million, respectively, will be recognized ratably over the weighted-average remaining vesting period of 2.1 years and 1.6 years, respectively.
  • The total income tax benefit recognized in the Consolidated Statements of Income for stock-based compensation arrangements for the years ended December 31, 2018, 2017 and 2016 was $69 million, $102 million and $89 million, respectively.