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Share-based Compensation Plans (Tables)
9 Months Ended
Sep. 30, 2021
Share-based Payment Arrangement [Abstract]  
Disclosure of Share-based Compensation Arrangements by Share-based Payment Award The weighted average assumptions used in the Monte Carlo simulation models are summarized in the following table:
September 30, 2021December 31, 2020
Closing share price$12.76$8.65
Expected dividend rate3.8 %— %
Expected stock price volatility31.9 %
49.8% - 91.5%
Risk-free interest rate— %
0.1% - 0.3%
Expected life (years)0.25
1.0 - 4.0
The fair value of each grant for the reported periods is estimated on the date of grant using the Monte Carlo simulation model using the weighted average assumptions noted in the following table:
 Nine Months Ended September 30,
20212020
Closing share price$10.45$13.09
Expected dividend rate— %6.7 %
Expected stock price volatility57.1 %23.3 %
Risk-free interest rate0.2 %0.9 %
Expected life (years)2.882.85