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Stock-Based Compensation Plans (Tables)
6 Months Ended
Jun. 30, 2021
Share-based Payment Arrangement [Abstract]  
Share-based Payment Arrangement, Option, Activity
2009 Plan
shares
Weighted average
exercise price
per share
Options Outstanding, December 31, 202012,506 $129.35 
Exercised(2,126)121.78 
Granted (1)294,115 180.32 
Forfeited(1,571)180.32 
Options Outstanding, June 30, 2021302,924 $178.63 
Options Exercisable, June 30, 202110,380 $130.90 
Schedule of nonvested performance awards granted
Information with respect to performance awards granted is as follows:
Performance awardsWeighted average grant date fair value per award
Outstanding at December 31, 2020241,921 $195.13 
  Granted (1)138,033 191.12 
  Change in awards based on performance (2)(37,469)156.00 
  Converted to common shares(56,545)156.00 
  Forfeited(240)208.35 
Outstanding at June 30, 2021285,700 $206.06 
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(1)The amount of common shares that ultimately may be earned is based on the total shareholder return metrics related to the Company's common stock for 69,064 performance awards and financial metrics related to operating performance, net asset value and leverage metrics of the Company for 68,969 performance awards.
(2)Represents the change in the number of performance awards earned based on performance achievement for the performance period.
Summary of valuation options The assumptions used are as follows:
2021
Dividend yield3.5%
Estimated volatility27.1%
Risk free rate0.81%
Expected life of options
5 years
Estimated fair value$28.64
The Company used a Monte Carlo model to assess the compensation cost associated with the portion of the performance awards granted in 2021 for which achievement will be determined by using total shareholder return measures. The assumptions used are as follows:
2021
Dividend yield3.5%
Estimated volatility over the life of the plan (1)
22.0% - 49.0%
Risk free rate
0.06% - 0.38%
Estimated performance award value based on total shareholder return measure$213.16
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(1)Estimated volatility over the life of the plan is using 50% historical volatility and 50% implied volatility.
Schedule of restricted stock granted
Information with respect to restricted stock granted is as follows:
Restricted stock sharesRestricted stock shares weighted average grant date fair value per shareRestricted stock shares converted from performance awards
Outstanding at December 31, 2020131,724 $203.28 146,319 
  Granted - restricted stock shares94,641 176.32 — 
  Vested - restricted stock shares(66,038)192.17 (71,535)
  Forfeited(709)197.01 — 
Outstanding at June 30, 2021159,618 $191.92 74,784