A power call option pays off (max(ST-X, 0))2 at time T, where ST is the stock price at time T and X is the exercise price. A stock price is currently $25. It is known that at the end of one year it will be either $30 or $20. The risk-free rate of interest with continuous compounding is 7.5% per annum. Calculate the value of a one year power call option with an exercise price of $25. a. What is the delta of the power call option?(sample answer: 0.75) b. What is the risk neutral probability of up movement?(sample answer: 0.75) c. What is the value of the power option?(sample answer: $15.75)
A power call option pays off (max(ST-X, 0))2 at time T, where ST is the stock price at time T and X is the exercise price. A stock price is currently $25. It is known that at the end of one year it will be either $30 or $20. The risk-free rate of interest with continuous compounding is 7.5% per annum. Calculate the value of a one year power call option with an exercise price of $25. a. What is the delta of the power call option?(sample answer: 0.75) b. What is the risk neutral probability of up movement?(sample answer: 0.75) c. What is the value of the power option?(sample answer: $15.75)
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
Section: Chapter Questions
Problem 1PS
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A power call option pays off (max(ST-X, 0))2 at time T, where ST is the stock price at time T and X is the exercise price. A stock price is currently $25. It is known that at the end of one year it will be either $30 or $20. The risk-free rate of interest with continuous compounding is 7.5% per annum. Calculate the value of a one year power call option with an exercise price of $25.
a. What is the delta of the power call option?(sample answer: 0.75)
b. What is the risk neutral probability of up movement?(sample answer: 0.75)
c. What is the value of the power option?(sample answer: $15.75)
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