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Employee Stock-based Compensation Plans (Tables) | 12 Months Ended
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Dec. 31, 2019
Share-based Payment Arrangement [Abstract] |
Stock-Based Compensation Expense | The Company recorded stock-based compensation expense for the years ended December 31 as follows:
In millions | 2019 |  | 2018 |  | 2017
Stock options | $ | 3 |  |  | $ | 6 |  |  | $ | 9 |
Restricted shares | 77 |  |  | 56 |  |  | 56 |
Employee share repurchase program | 3 |  |  | 3 |  |  | 3 |
Total stock-based compensation before income taxes | 83 |  |  | 65 |  |  | 68 |
Tax benefit | (10 | ) |  | (11 | ) |  | (21 | )
Total stock-based compensation, net of tax | $ | 73 |  |  | $ | 54 |  |  | $ | 47 |
Fair Value of Each Option Award on the Grant Date Using the Black-Scholes Option-Pricing Model | The fair value of each option award on the grant date was estimated using the Black-Scholes option-pricing model with the following assumptions:
|  | 2017 |
Dividend yield |  | — | % |
Risk-free interest rate |  | 1.99 | % |
Expected volatility |  | 35.0 | % |
Expected term (years) |  | 6.3 |  |
The Company's Stock Option Activity | The following table summarizes the Company’s stock option activity for the year ended December 31, 2019:
Shares in thousands | Shares Under Option |  | Weighted- Average Exercise Price per Share |  | Weighted- Average Remaining Contractual Term (in years) |  | Aggregate Intrinsic Value (in millions)
Outstanding at January 1, 2019 | 4,148 |  |  | $ | 40.34 |  |  | 3.8 |  | $ | 15 |
Granted | — |  |  | $ | — |  |  |  |  |
Exercised | (916 | ) |  | $ | 35.50 |  |  |  |  |
Canceled | (660 | ) |  | $ | 47.71 |  |  |  |  |
Forfeited | (68 | ) |  | $ | 28.78 |  |  |  |  |
Outstanding at December 31, 2019 | 2,504 |  |  | $ | 40.49 |  |  | 3.7 |  | $ | — |
Fully vested and expected to vest at December 31, 2019 | 2,504 |  |  | $ | 40.49 |  |  | 3.7 |  | $ | — |
Exercisable at December 31, 2019 | 2,352 |  |  | $ | 41.28 |  |  | 3.5 |  | $ | — |
Total Intrinsic Value of Options Exercised and The Cash Received | The following table summarizes the total intrinsic value of options exercised and the cash received by the Company from option exercises under all share-based payment arrangements at December 31:
In millions | 2019 |  | 2018 |  | 2017
Intrinsic value of options exercised | $ | 9 |  |  | $ | 15 |  |  | $ | 6 |
Cash received from option exercises | $ | 32 |  |  | $ | 21 |  |  | $ | 19 |
Tax benefit realized from option exercises | $ | 2 |  |  | $ | 3 |  |  | $ | 2 |
Restricted Stock and Restricted Stock Unit Activity | The following table reports restricted shares and restricted share unit activity during the year ended December 31, 2019:
Shares in thousands | Number of Shares |  | Weighted- Average Grant Date Fair Value per Share
Unvested shares at January 1, 2019 | 3,231 |  |  | $ | 34.27 |
Granted | 3,634 |  |  | $ | 44.13 |
Vested | (1,218 | ) |  | $ | 33.52 |
Forfeited/canceled | (478 | ) |  | $ | 38.57 |
Unvested shares at December 31, 2019 | 5,169 |  |  | $ | 40.95 |
Weighted-Average Fair Value and Total Fair Value of Shares Vested | The following table summarizes the weighted-average fair value of restricted share units granted for Teradata equity awards and the total fair value of shares vested.
| 2019 |  | 2018 |  | 2017
Weighted-average fair value of restricted share units granted | $ | 44.13 |  |  | $ | 37.98 |  |  | $ | 34.88 |
Total fair value of shares vested (in millions) | $ | 41 |  |  | $ | 53 |  |  | $ | 50 |
The Composition of Teradata Restricted Stock Grants | The following table represents the composition of Teradata restricted share unit grants in 2019:
Shares in thousands | Number of Shares |  | Weighted- Average Grant Date Fair Value
Service-based shares | 3,103 |  |  | $ | 44.21 |
Performance-based shares | 531 |  |  | $ | 43.65 |
Total stock grants | 3,634 |  |  | $ | 44.13 |
Employee Purchases and Aggregate Cost | Employee purchases and aggregate cost were as follows at December 31:
In millions | 2019 |  | 2018 |  | 2017
Employee share purchases | 0.6 |  |  | 0.5 |  |  | 0.6 |
Aggregate cost | $ | 20 |  |  | $ | 17 |  |  | $ | 15 |

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