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Share Based Payments
12 Months Ended
Dec. 31, 2020
Disclosure Of Share-based Payment Arrangements [Abstract]  
Share Based Payments Share-Based Payments
Stock Option Plan
We have issued stock options to acquire common stock through our stock option plan of which the following are outstanding at December 31:
202020192018
Stock OptionsWeighted Average Exercise Price
$
Stock OptionsWeighted Average Exercise Price
$
Stock OptionsWeighted Average Exercise Price
$
Outstanding, beginning of the year
2,246,947 5.311,249,361 8.73647,156 13.20
Granted during the year1,817,500 3.191,020,000 1.42750,467 4.97
Forfeited during the year(141,418)3.84(12,839)11.35(105,338)11.67
Expired during the year(25,520)62.49(9,575)29.07(1,122)13.78
Exercised during the year(133,454)1.81— (41,802)2.96
Outstanding, end of the
year
3,764,055 4.082,246,947 5.311,249,361 8.73
Options exercisable, end of the year
2,164,551 4.841,327,845 7.22777,245 11.04
The following table summarizes information about the stock options outstanding and exercisable at December 31, 2020:
Range of Exercise PricesNumber OutstandingWeighted Average Remaining Contractual Life (years)Weighted Average Exercise Price
$
Number ExercisableWeighted Average Exercise Price
$
$0.54 - $1.79
808,333 3.031.39545,009 1.37
$1.80 - $3.01
459,730 4.492.66289,730 2.68
$3.02 - $3.90
1,834,706 3.863.21769,696 3.26
$3.91 - $7.41
493,252 2.686.13392,082 6.02
$7.42 - $52.63
168,034 2.3224.32168,034 24.32
3,764,055 3.534.082,164,551 4.84
Non-exercisable options vest annually over periods ranging from one to three years.

We use the Black-Scholes valuation model to estimate fair value. We use historical data to estimate the expected dividend yield and expected volatility of our stock in determining the fair value of the stock options. The risk-free interest rate is based on the Government of Canada benchmark bond yield rates in effect at the time of grant and the expected life of the options represents the estimated length of time the options are expected to remain outstanding.

The estimated fair value of stock options issued during the year was determined using the following weighted average assumptions:
202020192018
Risk-free interest rate0.34%1.62%2.02%
Expected hold period to exercise3.0 years3.0 years3.0 years
Expected share price volatility110.82%97.9%81.15%
Expected forfeiture rate3.67%3.67%3.67%
Expected dividend yieldNilNilNil
Weighted average fair value of options$2.12$0.87$2.67
Incentive Share Award Plan
Restricted Share Units
We have issued RSUs to non-employee directors through our incentive share award plan. Grants of RSUs to non-employee directors vest either immediately, on the third anniversary date from the grant date or when the director ceases to be a member of the board. We have also issued RSUs to certain officers and employees of the Company. Grants of RSUs to certain officers and employees of the Company vest over a three year period. The following RSUs are outstanding at December 31:
202020192018
Outstanding, beginning of the year209,657 260,755 190,407 
Granted during the year154,923 270,098 102,855 
Forfeited during the year — (4,210)
Released during the year(229,962)(321,196)(28,297)
Outstanding, end of the year134,618 209,657 260,755 
(1) The weighted average fair value of the RSUs granted was $2.41 in 2020 (2019 - $0.80 ; 2018 - $3.35).
Performance Share Units
We have also issued PSUs to certain officers and employees of the Company. Grants of PSUs require completion of certain performance criteria and cliff vest after 3 years or vest over a three year period, depending on the grant. PSU grants to certain officers will vest immediately upon a change of control of the Company. If certain officers cease employment with the Company, vesting occurs on a pro rata basis prior to the third anniversary of the grant but after the first anniversary. The following PSUs are outstanding at December 31:
202020192018
Outstanding, beginning of the year61,051 63,156 94,734 
Forfeited during the year — (31,578)
Released during the year(4,210)(2,105)— 
Outstanding, end of the year56,841 61,051 63,156 
We have reserved 4,616,698 common shares for issuance relating to our outstanding equity compensation plans. Compensation expense related to stock options, RSUs and PSUs for the year ended December 31, 2020 was $2,558,974 (2019 - $1,470,153; 2018 - $1,415,833).