A company decides to award stock options to its CEO at a time when the stock price is $40 per share. The call options will have a 1-year expiry and have an exercise price of $20 per share. The standard deviation of stock returns is 30% and the risk-free rate is 0.5% p.a. In preparing its accounts, however, the company pretends that the stock price at the time of issuing these call options was $20. Considering this information, answer the following questions: What is the actual value of one stock option awarded to the CEO?  What is the declared value of one stock option awarded to the CEO?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A company decides to award stock options to its CEO at a time when 
the stock price is $40 per share. The call options will have a 1-year 
expiry and have an exercise price of $20 per share. The standard 
deviation of stock returns is 30% and the risk-free rate is 0.5% p.a. 
In preparing its accounts, however, the company pretends that the 
stock price at the time of issuing these call options was $20. 
Considering this information, answer the following questions: 

What is the actual value of one stock option awarded to the 
CEO? 
 
What is the declared value of one stock option awarded to the 
CEO? 

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