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Stock-Based Compensation | 12 Months Ended
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Dec. 31, 2020
Stock-Based Compensation |
Stock-Based Compensation | 15. Stock-Based Compensation Grants of stock options, restricted stock and restricted stock units, and performance share units have been, under the 2012 Plan and under the 2017 Plan, determined and administered by the compensation committee of the Board of Directors. In 2019, the Board of Directors approved a change to the structure of long-term incentive grants to remove stock options, commencing with the March 2019 equity grant. Total stock-based compensation expense was $6.9 million, $5.9 million and $7.2 million for the years ended December 31, 2020, 2019 and 2018, respectively. Stock-based compensation expense is recognized using the straight-line method over the vesting period and generally vests over a three-year vesting period. Certain awards provide for accelerated vesting when the sum of an employee's age and years of service is at least 75. We recognize forfeitures as they occur. Total income tax benefit recognized for stock-based compensation arrangements was $1.5 million, $1.3 million and $1.5 million for each of the years ended December 31, 2020, 2019 and 2018. We generally issue treasury shares for stock options and restricted stock, unless treasury shares are not available. Upon the vesting of restricted shares, we have allowed the holder to elect to surrender an amount of shares to meet their statutory tax withholding requirements. These shares are accounted for as treasury stock based upon the value of the stock on the date of vesting. Stock Options The following table summarizes activity under our stock option plans (shares in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year Ended | ​
​ | ​ | December 31, | ​
​ | ​ | 2020 | ​
​ |  | ​ |  | Weighted- | ​
​ | ​ | ​ | ​ | Average | ​
Stock Options |  | Shares |  | Exercise Price |
Outstanding at beginning of year |  | 382 | ​ | $ | 27.06 | ​
Granted |  | — | ​ | $ | — | ​
Exercised |  | (114) | ​ | $ | 18.85 | ​
Forfeited |  | — | ​ | $ | — | ​
Expired |  | — | ​ | $ | — | ​
Outstanding at end of year |  | 268 | ​ | $ | 30.53 | ​
Options exercisable at end of year |  | 241 | ​ | ​ | ​ | ​
​ The total intrinsic value of options exercised during the years ended December 31, 2020, 2019 and 2018 was $3.2 million, $3.5 million and $6.7 million, respectively. Stock options exercisable as of December 31, 2020 have a weighted-average remaining contractual term of 5.2 years and an aggregate intrinsic value of $5.7 million. As of December 31, 2020, we have 0.3 million options that are vested or expected to vest; these options have a weighted average exercise price of $30.53 per share, have a weighted-average remaining contractual term of 5.4 years and an aggregate intrinsic value of $5.9 million. The following table summarizes information about stock options outstanding at December 31, 2020 (shares in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Options Outstanding | ​ | Options Exercisable |
​ |  | ​ |  | Weighted- |  | ​ | ​ | ​ | ​ | ​ | ​ | ​ |
​ | ​ | ​ | ​ | Average | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ |
​ | ​ | Number | ​ | Remaining | ​ | Weighted- | ​ | Number | ​ | Weighted- |
​ | ​ | Outstanding at | ​ | Contractual | ​ | Average | ​ | Exercisable at | ​ | Average |
Range of Exercise Prices |  | 12/31/2020 |  | Life (in years) |  | Exercise Price |  | 12/31/2020 |  | Exercise Price |
$11.21 - $15.00 |  | 14 |  | 2.2 | ​ | $ | 13.76 |  | 14 | ​ | $ | 13.76 | ​
$15.01 - $35.00 |  | 130 |  | 4.4 | ​ | $ | 23.54 |  | 130 | ​ | $ | 23.54 | ​
$35.01 - $42.50 |  | 124 |  | 6.8 | ​ | $ | 39.78 |  | 97 | ​ | $ | 39.02 | ​
$11.21 - $42.50 |  | 268 |  | 5.4 | ​ | $ | 30.53 |  | 241 | ​ | $ | 29.18 | ​
​ The fair value of each option award is estimated, based on several assumptions, on the date of grant using the Black-Scholes option valuation model. We did not grant any options in 2019 or 2020. The fair values and the assumptions used for the 2018 grant are shown in the table below: ​
​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ |
​ |  | 2018 |
Weighted-average fair value per share of options granted | ​ | $ | 13.06 | ​
Fair value assumptions: | ​ | ​ | ​ | ​
Expected dividend yield | ​ | ​ | 0.79% | ​
Expected stock price volatility | ​ | ​ | 31.7% | ​
Risk-free interest rate | ​ | ​ | 2.66% | ​
Expected term | ​ |  | 5.3 years | ​
​ Stock options are accounted for as equity instruments. As of December 31, 2020, the unrecognized compensation cost related to stock options was less than $0.1 million, which is expected to be recognized over a weighted-average period of 0.3 years. The total fair value of options vested during the year ended December 31, 2020 was $0.7 million. The following table summarizes information about nonvested stock option awards as of December 31, 2020 and changes for the year ended December 31, 2020 (shares in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted-Average | ​
​ | ​ | ​ | ​ | Grant Date | ​
Stock Options |  | Shares |  | Fair Value |
Nonvested at December 31, 2019 |  | 81 | ​ | $ | 12.53 | ​
Granted |  | — | ​ | $ | — | ​
Vested |  | (54) | ​ | $ | 12.26 | ​
Forfeited |  | — | ​ | $ | — | ​
Nonvested at December 31, 2020 |  | 27 | ​ | $ | 13.06 | ​
​ Restricted Stock and Restricted Stock Units The following table summarizes activity under our restricted stock plans (shares in thousands):
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year Ended | ​
​ | ​ | December 31, | ​
​ | ​ | 2020 | ​
​ | ​ | ​ | ​ | Weighted | ​
​ | ​ | ​ | ​ | Average Grant | ​
Restricted Stock and Restricted Stock Units |  | Shares |  | Date Fair Value |
Unvested at beginning of year |  | 91 | ​ | $ | 47.58 | ​
Granted |  | 118 | ​ | $ | 39.03 | ​
Vested |  | (85) | ​ | $ | 39.13 | ​
Forfeited |  | (4) | ​ | $ | 45.21 | ​
Unvested at end of year |  | 120 | ​ | $ | 45.21 | ​
​ Approximately $1.1 million of compensation expense related to restricted stock and restricted stock units will be recognized over a weighted-average period of 1.8 years. The total fair value of shares vested during the year ended December 31, 2020 was $3.3 million. The weighted-average fair value per share of restricted stock shares and units awarded during 2020, 2019 and 2018 was $39.03, $51.02 and $44.02, respectively. The aggregate intrinsic value of restricted stock vested during the years ended December 31, 2020, 2019 and 2018 was $2.9 million, $3.5 million and $3.3 million, respectively. Performance Stock Units Under the 2012 Plan, we granted dollar-denominated performance vesting restricted stock units (“PSUs”), which cliff vest at the end of a three-year performance period. The PSUs are subject to two performance measures; 50% of the PSUs are based on the annual performance of our stock price relative to a group of our peers (total shareholder return) and 50% of the PSUs are measured based on meeting or exceeding a pre-determined annual earnings per share target as set by our Board of Directors (EPS). Depending on the Company’s performance in relation to the established performance measures, the awards may vest at zero to a maximum of 2.0 times the dollar-denominated award granted at target. Upon achievement of the necessary performance metrics, the award will be determined in dollars and may be settled in cash or stock based on the market price of the Company’s common stock at the end of the performance period, at our discretion. Compensation expense for dollar-denominated performance units will ultimately be equal to the final dollar value awarded to the grantee upon vesting, settled either in cash or stock. However, throughout the performance period we must record and accrue expense based on an estimate of that future payout. For units determined by EPS performance, the awards are evaluated quarterly against established targets in order to estimate the liability throughout the vesting period. For units determined by total shareholder return performance, a Monte Carlo simulation model was used to estimate accruals throughout the vesting period. The model simulates our total shareholder return and compares it against our peer group over the three-year performance period to produce a predicted distribution of relative share performance. This is applied to the reward criteria to give an expected value of the total shareholder return element. The calculated fair market value as of December 31, 2020 was $6.2 million. Of this amount, $2.2 million relates to the PSUs granted in 2018 whose performance period ended December 31, 2020. These awards will be settled within the upcoming year either in cash or stock. The expense related to performance stock units for the years ended December 31, 2020, 2019 and 2018 was $2.7 million, $1.9 million and $2.9 million, respectively. At the December 31, 2020 calculated fair market value, approximately $0.7 million of compensation expense related to performance stock units will be recognized over a weighted-average period of 1.4 years.

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