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Capital Stock and Equity Compensation (Tables) | 3 Months Ended
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Mar. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Assumptions Used in Calculation of Fair Value | Below are the assumptions used in the Monte Carlo calculation on the respective grant dates for awards granted in 2019 and 2018:
| February 7, 2019 |  | September 17, 2018 |  | February 8, 2018
Expected volatility | 36.7% |  | 36.6% |  | 34.8%
Expected term (in years) | 2.9 |  | 3.0 |  | 3.0
Risk-free interest rate | 2.43% |  | 2.85% |  | 2.28%
Summary of Activity Under Stock Option Plans | A summary of the activity under our stock option plans for the three months ended March 31, 2019 is presented below:
| Options Outstanding |  | Weighted- Average Exercise Price Per Share |  | Weighted-Average Remaining Contractual Life in Years |  | Aggregate Intrinsic Value
Options outstanding, vested and exercisable as of December 31, 2018 | 10,950 |  |  | $ | 31.99 |  |  | 2.0 |  | $ | 734,469 |
Options exercised | (8,250 | ) |  | $ | 34.55 |  |  |  |  |
Options expired | (300 | ) |  | $ | 23.86 |  |  |  |  |
Options outstanding, vested and exercisable as of March 31, 2019 | 2,400 |  |  | $ | 24.20 |  |  | 0.9 |  | $ | 323,232 |
Time Based Restricted Stock |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Restricted Stock Activities | summary of activity of the outstanding time-based restricted stock units for the three months ended March 31, 2019 is presented below:
| Time-Based Restricted Stock Units
Awards outstanding as of December 31, 2018 | 117,476 |
Awards granted | 56,127 |
Stock issued | (63,948 | )
Awards forfeited | (2,783 | )
Awards outstanding as of March 31, 2019 | 106,872 |
Performance-Based Restricted Stock Units |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Restricted Stock Activities | The following table summarizes the change in number of performance-based restricted stock units outstanding for the three months ended March 31, 2019:
| Performance-Based Restricted Stock Units
Awards outstanding as of December 31, 2018 | 142,434 |
Awards granted | 108,527 |
Stock issued | (131,650 | )
Awards forfeited | (4,865 | )
Awards outstanding as of March 31, 2019 | 114,446 |
Deferred Stock Units |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Restricted Stock Activities | The following table summarizes the change in number of deferred stock units outstanding during the three months ended March 31, 2019:
| Deferred Stock Units
Awards outstanding as of December 31, 2018 | 8,400 |
Awards granted | — |
Stock issued | — |
Awards outstanding as of March 31, 2019 | 8,400 |

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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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