Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time steps. a.) What is the value of a six-month European put option with a strike price of $86. b.) What is the value of a six-month American put option with a strike price of $70. c.) What is the value of a six-month European call option with a strike price of $86.

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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Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock
will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous
compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time
steps.
a.) What is the value of a six-month European put option with a strike price of $86.
b.) What is the value of a six-month American put option with a strike price of $70.
c.) What is the value of a six-month European call option with a strike price of $86.
d.) What is the value of a six-month European put option with a strike price of $70.
e.) Estimate how high the minimum strike price must be for it to be optimal to exercise the put option
immediately.
Transcribed Image Text:Suppose the stock price is currently $75. For the next six months there is 7.5% probability that the stock will appreciate 8% with 4% annualized drift. The risk-free rate is 1.53% per year with continuous compounding. The dividend yield is 1 p.a.%. Value the following option using binomial tress and 12-time steps. a.) What is the value of a six-month European put option with a strike price of $86. b.) What is the value of a six-month American put option with a strike price of $70. c.) What is the value of a six-month European call option with a strike price of $86. d.) What is the value of a six-month European put option with a strike price of $70. e.) Estimate how high the minimum strike price must be for it to be optimal to exercise the put option immediately.
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