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Capital Stock, Stock Awards and Stock Options (Tables)
12 Months Ended
Dec. 31, 2022
Capital Stock, Stock Awards, and Stock Options [Abstract]  
Activity Related to Stock Awards
Activity related to stock awards under these incentive compensation plans for the year ended December 31, 2022 was as follows:
 Number of SharesAverage Grant-Date Fair Value
Beginning of year, unvested31,571 $579.37 
Awarded1,221 605.49 
Vested(1,221)605.49 
Forfeited(4,353)576.45 
End of Year, unvested27,218 579.84 
Activity Related to Stock Options
Activity related to options outstanding for the year ended December 31, 2022 was as follows:
 Number of SharesAverage Option Price
Beginning of year183,189 $612.16 
Granted  
Exercised(5,084)357.35 
Expired or forfeited  
End of Year178,105 619.44 
Information related to Stock Options Outstanding and Exercisable Information related to stock options outstanding and exercisable at December 31, 2022, is as follows:
 Options OutstandingOptions Exercisable
Range of Exercise PricesShares Outstanding at 12/31/2022Weighted
Average
Remaining
Contractual
Life (years)
Weighted
Average
Exercise
Price
Shares Exercisable at 12/31/2022Weighted
Average
Remaining
Contractual
Life (years)
Weighted
Average
Exercise
Price
$42774,105 7.7426.86 22,599 7.7426.86 
71977,258 1.8719.15 77,258 1.8719.15 
805–872
26,742 3.0865.02 26,407 2.9865.26 
 178,105 4.4619.44 126,264 3.1697.39 
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)202220212020
Numerator:
Numerator for basic earnings per share:
Net income attributable to Graham Holdings Company common stockholders
$67,079 $352,075 $300,365 
Less: Dividends paid–common stock outstanding and unvested restricted shares(30,712)(30,136)(29,970)
Undistributed earnings36,367 321,939 270,395 
Percent allocated to common stockholders99.43 %99.36 %99.45 %
36,160 319,867 268,917 
Add: Dividends paid–common stock outstanding30,540 29,946 29,812 
Numerator for basic earnings per share66,700 349,813 298,729 
Add: Additional undistributed earnings due to dilutive stock options 
Numerator for diluted earnings per share$66,700 $349,818 $298,733 
Denominator:
Denominator for basic earnings per share:
Weighted average shares outstanding4,823 4,951 5,124 
Add: Effect of dilutive stock options13 14 15 
Denominator for diluted earnings per share4,836 4,965 5,139 
Graham Holdings Company Common Stockholders:   
Basic earnings per share$13.83 $70.65 $58.30 
Diluted earnings per share$13.79 $70.45 $58.13 
____________
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)202220212020
Weighted average restricted stock18 13 12