A stock is worth £15 today. i) Suppose that in a month, the stock price can rise by 10% or fall by 15%. If the riskless interest rate r 5%, what is the price of a Euro- pean call option that expires in five months and has an exercise price of £18? = ii) Suppose that in a month, the stock price can rise or fall by 20%. If the riskless interest rate r = 10%, what is the price of a European put option that expires in six months and has an exercise price of £8?

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 stock is worth £15 today.
i) Suppose that in a month, the stock price can rise by 10% or fall by
15%. If the riskless interest rate r = 5%, what is the price of a Euro-
pean call option that expires in five months and has an exercise price of
£18?
ii) Suppose that in a month, the stock price can rise or fall by 20%. If the
riskless interest rate r = 10%, what is the price of a European put option
that expires in six months and has an exercise price of £8?
Transcribed Image Text:A stock is worth £15 today. i) Suppose that in a month, the stock price can rise by 10% or fall by 15%. If the riskless interest rate r = 5%, what is the price of a Euro- pean call option that expires in five months and has an exercise price of £18? ii) Suppose that in a month, the stock price can rise or fall by 20%. If the riskless interest rate r = 10%, what is the price of a European put option that expires in six months and has an exercise price of £8?
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Given:

Particulars Amount
Stock Price £15
Stock raise 10%
Stock fall 15%
Risk free rate 5%
Exercise price £18
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