Cheryl Levin is the chief executive officer of Mountainbrook Trading Company. The board of directors has just granted Cheryl 10,000 at-the-money European call options on the company's stock, which is currently trading at $125 per share. The stock pays no dividends. The options will expire in five years and the standard deviation of the returns on the stock is 56 percent. Treasury bills that mature in five years currently yield a continuously compounded interest rate of 5 percent. Use the Black-Scholes model to calculate the value of the stock options. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Value of option grant

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 9P
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Cheryl Levin is the chief executive officer of Mountainbrook Trading Company. The
board of directors has just granted Cheryl 10,000 at-the-money European call options on
the company's stock, which is currently trading at $125 per share. The stock pays no
dividends. The options will expire in five years and the standard deviation of the returns
on the stock is 56 percent. Treasury bills that mature in five years currently yield a
continuously compounded interest rate of 5 percent. Use the Black-Scholes model to
calculate the value of the stock options. (Do not round intermediate calculations and
round your answer to 2 decimal places, e.g., 32.16.)
Value of option grant
Transcribed Image Text:Cheryl Levin is the chief executive officer of Mountainbrook Trading Company. The board of directors has just granted Cheryl 10,000 at-the-money European call options on the company's stock, which is currently trading at $125 per share. The stock pays no dividends. The options will expire in five years and the standard deviation of the returns on the stock is 56 percent. Treasury bills that mature in five years currently yield a continuously compounded interest rate of 5 percent. Use the Black-Scholes model to calculate the value of the stock options. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Value of option grant
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