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Stock-Based Compensation (Tables)

3 Months Ended

Mar. 31, 2023

Stock-Based Compensation

Schedule of changes in restricted stock units

​

​	​	​	​	​	​	​
​		​	Number of Shares		​	Weighted Average Grant Date Fair Value per Share
Balance at December 31, 2022	​	​	2,658,581	​	$	2.98
Granted	​	​	214,901	​	​	15.01
Vested	​	​	(933,064)	​	​	2.49
Balance at March 31, 2023	​	​	1,940,418	​	$	4.55

​

Schedule of changes in performance stock units

​

​	​	​	​	​	​	​
​		​	Number of Shares		​	Weighted Average Grant Date Fair Value per Share
Balance at December 31, 2022	​	​	1,495,017	​	$	4.72
Granted	​	​	91,025	​	​	14.98
Balance at March 31, 2023	​	​	1,586,042	​	$	5.31

​

Schedule of changes in stock options

​

​	​	​	​	​	​	​	​	​	​	​	​
​		​	Options		​	Weighted Average Exercise Price Per Share		Weighted Average Contractual Life (Years)		​	Intrinsic Value
Outstanding Options at December 31, 2022	​	​	1,510,661	​	$	6.13	​	6.86	​	$	13,615
Exercised	​	​	(671,392)	​	​	5.81	​	-	​	​	7,423
Outstanding Options at March 31, 2023	​	​	839,269	​	$	6.38	​	6.64	​	$	5,671

Schedule of assumptions using Black-scholes option-pricing model

​

​	​	​
​		Assumptions
Weighted average expected stock volatility (range)	%	25.94 - 30.90
Expected dividend yield	%	0.00
Expected term (years)	​	6.25
Risk-free interest rate (range)	%	0.82 - 2.26
Exercise price (range)	$	4.51 - 10.83
Weighted-average grant date fair value	$	1.42

​

Stock appreciation right awards

​

​	​	​	​	​	​	​	​
​	​	Number of Units	​	​	Weighted-Average Exercise Price	​	Weighted-Average Remaining Contractual Term (Years)
Outstanding SARs at December 31, 2022	​	1,537,776	​	$	1.82	​	8.17
Exercised	​	(755,436)	​	​	1.79	​	-
Outstanding SARs at March 31, 2023	​	782,340	​	$	1.85	​	7.93

​

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Tabular disclosure of the number and weighted-average grant date fair value for restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock units that were granted, vested, or forfeited during the year.

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Tabular disclosure of the number and weighted-average exercise prices (or conversion ratios) for stock appreciation rights awards that were outstanding at the beginning and end of the year, and the number of stock appreciation rights awards that were granted, exercised or converted, forfeited, and expired during the year.

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Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value.

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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.

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Tabular disclosure of number and weighted-average grant date fair value for nonvested performance shares.

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