You are attempting to value a call option with an exercise price of $108 and 1 y
ID: 2798350 • Letter: Y
Question
You are attempting to value a call option with an exercise price of $108 and 1 year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $130 and a 50% chance of decreasing to $86. The risk-free rate of interest is 10%. Calculate the call option’s value using the two-state stock price model. (Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.)
Call option’s value=
Explanation / Answer
Value of call when price is 130 = 130 - 108 = 22
value of call when price is 86 = 0 since it expires worthless
expected value in one year = 0.5*22 + 0.5*0 = 11
call option's value = 11/1.10 = 10.00
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