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Share and Unit-based Plans (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Summary of Activity of Non-vested Stock Units The following table summarizes the activity of non-vested stock units during the years ended December 31, 2020, 2019 and 2018:
 202020192018
 UnitsWeighted
Average
Grant Date
Fair Value
UnitsWeighted
Average
Grant Date
Fair Value
UnitsWeighted
Average
Grant Date
Fair Value
Balance at beginning of year199,987 $43.59 129,457 $64.21 151,355 $73.32 
Granted253,184 14.14 160,932 37.44 87,983 58.79 
Vested(140,224)39.53 (85,157)62.84 (108,991)74.04 
Forfeited(3,102)32.62 (5,245)51.48 (890)68.81 
Balance at end of year309,845 $21.47 199,987 $43.59 129,457 $64.21 
Summary of Activity of SARs Awards
The following table summarizes the activity of SARs awards during the years ended December 31, 2020, 2019 and 2018:
 202020192018
 UnitsWeighted
Average
Exercise
Price
UnitsWeighted
Average
Exercise
Price
UnitsWeighted
Average
Exercise
Price
Balance at beginning of year— $— — $— 235,439 $53.83 
Exercised— — — — (235,439)53.83 
Balance at end of year— $— — $— — $— 
Schedule of LTIP Units Granted
The Company has granted the following LTIP units during the years ended December 31, 2020, 2019 and 2018:
Grant DateUnitsTypeFair Value per LTIP UnitVest Date
1/1/201865,466 Service-based$65.68 12/31/2020
1/1/2018291,326 Market-indexed$44.28 12/31/2020
1/29/201813,632 Service-based$66.02 2/1/2022
1/29/20181,893 Service-based$66.02 12/31/2020
1/29/20187,775 Market-indexed$48.23 12/31/2020
3/2/201899,407 Service-based$59.04 3/2/2018
4/26/201889,637 Service-based$55.78 4/26/2018
569,136 
1/1/201981,732 Service-based$43.28 12/31/2021
1/1/2019250,852 Market-indexed$29.25 12/31/2021
9/1/20194,393 Service-based$28.53 8/31/2022
9/1/20196,454 Market-indexed$19.42 8/31/2022
343,431 
1/1/2020154,158 Service-based$26.92 12/31/2022
1/1/2020321,940 Market-indexed$27.80 12/31/2022
3/1/202039,176 Service-based$20.42 2/28/2023
3/1/202037,592 Market-indexed$21.28 2/28/2023
552,866 
Schedule LTIP Units Valuation Assumptions
The fair value of the market-indexed LTIP Units (Level 3) were estimated on the date of grant using a Monte Carlo Simulation model that based on the following assumptions:
Grant DateRisk Free Interest RateExpected Volatility
1/1/20181.98 %23.38 %
1/29/20182.25 %23.86 %
1/1/20192.46 %23.52 %
9/1/20191.42 %24.91 %
1/1/20201.62 %26.08 %
3/1/20200.85 %28.34 %
Summary of Activity of Stock Options
The following table summarizes the activity of the non-vested LTIP Units during the years ended December 31, 2020, 2019 and 2018:
 202020192018
 UnitsWeighted
Average
Grant Date
Fair Value
UnitsWeighted
Average
Grant Date
Fair Value
UnitsWeighted
Average
Grant Date
Fair Value
Balance at beginning of year616,219 $39.04 661,578 $48.38 636,632 $52.36 
Granted552,866 26.59 343,431 32.40 569,136 51.78 
Vested(102,884)40.19 (76,306)59.27 (253,625)61.17 
Forfeited(282,149)44.28 (312,484)46.55 (290,565)52.58 
Balance at end of year784,052 $28.11 616,219 $39.04 661,578 $48.38 
The following table summarizes the activity of stock options for the years ended December 31, 2020, 2019 and 2018:
 202020192018
 OptionsWeighted
Average
Exercise
Price
OptionsWeighted
Average
Exercise
Price
OptionsWeighted
Average
Exercise
Price
Balance at beginning of year35,565 $57.32 35,565 $57.32 35,565 $57.32 
Granted(1)1,950 — — — — — 
Balance at end of year37,515 $54.34 35,565 $57.32 35,565 $57.32 

(1)Pursuant to the terms of the Company's equity plan, the exercise price and number of options were adjusted so that the stock dividend paid on June 3, 2020 had no negative impact on the outstanding stock options (See Note 14–Stockholder's Equity).
Summary of Activity of Non-vested Phantom Stock Units
The following table summarizes the activity of the non-vested phantom stock units for the years ended December 31, 2020, 2019 and 2018:
 202020192018
 Stock UnitsWeighted
Average
Grant Date
Fair Value
Stock UnitsWeighted
Average
Grant Date
Fair Value
Stock UnitsWeighted
Average
Grant Date
Fair Value
Balance at beginning of year7,216 $43.29 — $— 4,054 $79.82 
Granted24,576 17.11 23,690 40.26 10,380 49.55 
Vested(27,130)20.94 (16,474)38.94 (12,193)54.40 
Forfeited— — — — (2,241)77.91 
Balance at end of year4,662 $35.35 7,216 $43.29 — $— 
Compensation Cost Under the Share and Unit-based Plans
The following summarizes the compensation cost under the share and unit-based plans for the years ended December 31, 2020, 2019 and 2018:
202020192018
Stock units$4,159 $4,598 $6,355 
LTIP units13,339 11,372 26,311 
Stock options— 51 125 
Phantom stock units568 702 760 
$18,066 $16,723 $33,551