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Capital Stock, Stock Awards and Stock Options (Tables)
12 Months Ended
Dec. 31, 2021
Capital Stock, Stock Awards, and Stock Options [Abstract]  
Activity Related to Stock Awards
Activity related to stock awards under the 2012 incentive compensation plan for the year ended December 31, 2021 was as follows:
 Number of SharesAverage Grant-Date Fair Value
Beginning of year, unvested27,240 $584.24 
Awarded20,258 539.36 
Vested(12,871)522.17 
Forfeited(3,056)598.44 
End of Year, unvested31,571 579.37 
Activity Related to Stock Options
Activity related to options outstanding for the year ended December 31, 2021 was as follows:
 Number of SharesAverage Option Price
Beginning of year183,189 $612.16 
Granted  
Exercised  
Expired or forfeited  
End of Year183,189 612.16 
Information related to Stock Options Outstanding and Exercisable Information related to stock options outstanding and exercisable at December 31, 2021, is as follows:
 Options OutstandingOptions Exercisable
Range of Exercise PricesShares Outstanding at 12/31/2021Weighted
Average
Remaining
Contractual
Life (years)
Weighted
Average
Exercise
Price
Shares Exercisable at 12/31/2021Weighted
Average
Remaining
Contractual
Life (years)
Weighted
Average
Exercise
Price
$2441,931 0.9$243.85 1,931 0.9$243.85 
42777,258 8.7426.86 12,876 8.7426.86 
71977,258 2.8719.15 77,258 2.8719.15 
805–872
26,742 4.0865.02 26,074 3.9865.51 
 183,189 5.5612.16 118,139 3.7711.83 
Fair Value of Options Assumptions
The fair value of options at date of grant was estimated using the Black-Scholes method utilizing the following assumptions:
 2020
Expected life (years)8
Interest rate0.53%
Volatility27.70%
Dividend yield1.45%
Summary of Earnings Per Share, Basic and Diluted
The following reflects the Company’s net income and share data used in the basic and diluted earnings per share computations using the two-class method:
Year Ended December 31
(in thousands, except per share amounts)202120202019
Numerator:
Numerator for basic earnings per share:
Net income attributable to Graham Holdings Company common stockholders
$352,075 $300,365 $327,855 
Less: Dividends paid–common stock outstanding and unvested restricted shares(30,136)(29,970)(29,553)
Undistributed earnings321,939 270,395 298,302 
Percent allocated to common stockholders99.36 %99.45 %99.45 %
319,867 268,917 296,665 
Add: Dividends paid–common stock outstanding29,946 29,812 29,387 
Numerator for basic earnings per share349,813 298,729 326,052 
Add: Additional undistributed earnings due to dilutive stock options5 13 
Numerator for diluted earnings per share$349,818 $298,733 $326,065 
Denominator:
Denominator for basic earnings per share:
Weighted average shares outstanding4,951 5,124 5,285 
Add: Effect of dilutive stock options14 15 42 
Denominator for diluted earnings per share4,965 5,139 5,327 
Graham Holdings Company Common Stockholders:   
Basic earnings per share$70.65 $58.30 $61.70 
Diluted earnings per share$70.45 $58.13 $61.21 
____________
Earnings per share amounts may not recalculate due to rounding.
Antidilutive Weighted Average Restricted Stock and Options
Diluted earnings per share excludes the following weighted average potential common shares, as the effect would be antidilutive, as computed under the treasury stock method:
Year Ended December 31
(in thousands)202120202019
Weighted average restricted stock13 12 12