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Capital Stock, Stock Awards and Stock Options (Tables)
12 Months Ended
Dec. 31, 2020
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, 2020 was as follows:
 Number of SharesAverage Grant-Date Fair Value
Beginning of year, unvested29,140 $584.50 
Awarded1,100 420.65 
Vested(1,350)424.91 
Forfeited(1,650)610.14 
End of Year, unvested27,240 584.24 
Activity Related to Stock Options
Activity related to options outstanding for the year ended December 31, 2020 was as follows:
 Number of SharesAverage Option Price
Beginning of year183,189 $569.31 
Granted85,000 426.86 
Exercised(77,258)325.26 
End of Year190,931 604.65 
Information related to Stock Options Outstanding and Exercisable Information related to stock options outstanding and exercisable at December 31, 2020, is as follows:
 Options OutstandingOptions Exercisable
Range of Exercise PricesShares Outstanding at 12/31/2020Weighted
Average
Remaining
Contractual
Life (years)
Weighted
Average
Exercise
Price
Shares Exercisable at 12/31/2020Weighted
Average
Remaining
Contractual
Life (years)
Weighted
Average
Exercise
Price
$2441,931 1.9$243.85 1,931 1.9$243.85 
42785,000 9.7426.86   
71977,258 3.8719.15 77,258 3.8719.15 
805–872
26,742 5.0865.02 21,615 4.9865.62 
 190,931 6.6604.65 100,804 4.0741.45 
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)202020192018
Numerator:
Numerator for basic earnings per share:
Net income attributable to Graham Holdings Company common stockholders
$300,365 $327,855 $271,206 
Less: Dividends paid–common stock outstanding and unvested restricted shares(29,970)(29,553)(28,617)
Undistributed earnings270,395 298,302 242,589 
Percent allocated to common stockholders99.45 %99.45 %99.39 %
268,917 296,665 241,115 
Add: Dividends paid–common stock outstanding29,812 29,387 28,423 
Numerator for basic earnings per share298,729 326,052 269,538 
Add: Additional undistributed earnings due to dilutive stock options4 13 10 
Numerator for diluted earnings per share$298,733 $326,065 $269,548 
Denominator:
Denominator for basic earnings per share:
Weighted average shares outstanding5,124 5,285 5,333 
Add: Effect of dilutive stock options15 42 37 
Denominator for diluted earnings per share5,139 5,327 5,370 
Graham Holdings Company Common Stockholders:   
Basic earnings per share$58.30 $61.70 $50.55 
Diluted earnings per share$58.13 $61.21 $50.20 
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)202020192018
Weighted average restricted stock12 12 23