Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 21, Problem 11PS

American options The price of Moria Mining stock is $100. During each of the next two six-month periods the price may either rise by 25% or fall by 20% (equivalent to a standard deviation of 31.5% a year). At month 6, the company will pay a dividend of $20. The interest rate is 10% per six-month period. What is the value of a one-year American call option with an exercise price of $80? Now recalculate the option value, assuming that the dividend is equal to 20% of the with-dividend stock price.

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A 4-month European call option on a stock (with dividend) is currently selling for RM5. The price of the stock is RM64 and the strike price is RM60. The risk-free interest rate is 12% p.a. A dividend of RM0.80 is expected one month from now.    Is there any arbitrage opportunities? Show your working.  How much is the profit/loss if at maturity the price of the stock is higher than the strike price?  How much is the profit/loss if at maturity the price of the stock is lower than the strike price?
The price of a European call that expires in six months and has a strike price of $30 is $2. The underlying stock price is $29, and a dividend of $0.50 is expected in two months and again in five months. Risk-free interest rates (all maturities) are 10% per annum with continuous compounding. What is the price of a European put option that expires in six months, and has a strike price of $30 and the same underlying asset?
A stock price is currently $100. Over each of the next two three-month periods it is expected to increase by 10% or fall by 10% per period. Consider a six-month European put option with a strike price of $95. The risk-free interest rate is 8% per annum, compounded continuously. What is the value of the option? Question 1 options: 1.50 3.25 2.14 None of the above
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