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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2021
Share-based Payment Arrangement, Noncash Expense [Abstract]  
Valuation Assumptions, Options

 

The fair value of unvested cash settled stock appreciation rights as of September 30, 2021 was estimated using the Black-Scholes option valuation model with the following assumptions:

 

 

 

 

 

 

 

 

 

Expected

 

Risk Free

 

 

 

 

 

 

 

 

 

Expected

 

Dividend

 

Interest

 

Fair Value

 

Grant Year

 

Grant Date

 

Expected Life

 

Volatility

 

Yield

 

Rate

 

Per Award

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2020

 

1/24/2020

 

4.6 years

 

79.96%

 

0.00%

 

0.88%

 

$

3.56

 

2020

 

9/14/2020

 

5.2 years

 

76.49%

 

0.00%

 

1.00%

 

$

3.45

 

2020

 

11/30/2020

 

5.2 years

 

76.73%

 

0.00%

 

1.00%

 

$

3.29

 

2021

 

1/5/2021

 

5.3 years

 

76.22%

 

0.00%

 

1.01%

 

$

3.35