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Under its executive stock option plan, National Corporation granted 12 million options on January 1, 2021,...

Under its executive stock option plan, National Corporation granted 12 million options on January 1, 2021, that permit executives to purchase 12 million of the company’s $1 par common shares within the next six years, but not before December 31, 2023 (the vesting date). The exercise price is the market price of the shares on the date of grant, $17 per share. The fair value of the options, estimated by an appropriate option pricing model, is $5 per option. Suppose that unexpected turnover during 2022 caused the forfeiture of 5% of the stock options.

Compute the amount of compensation expense for 2022 and 2023.

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Answer #1

1. Fair value of all Options Jan 1 2021 = Fair Value per option * Number of options = $5 * 12 Million = $60 Million

2. Fair value of all Options 2022 = Fair Value per option * Number of options * (1 - Forfeiture) = $5 * 12 Million * (1 - 0.05) = $57 Million

3. Compensation Expense for 2021 = Fair Value / 3 Years = $20 Million

4. Compensation Expense for 2022 = Fair after forfeiture * 2 / 3 - $20 Million = $57 M * 2 / 3 - $20 M = $18 Million

5. Compensation Expense for 2023 = Fair after forfeiture * 3 / 3 - $38 Million = $57 M * 3 / 3 - $20 M = $19 Million

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