PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Textbook Question
Chapter 21, Problem 12PS
Black–Scholes model Use the Black–Scholes formula to value the following options:
- a. A call option written on a stock selling for $60 per share with a $60 exercise price. The stock’s standard deviation is 6% per month. The option matures in three months. The risk-free interest rate is 1% per month.
- b. A put option written on the same stock at the same time, with the same exercise price and expiration date.
Now for each of these options, find the combination of stock and risk-free asset that would replicate the option.
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PRIN.OF CORPORATE FINANCE
Ch. 21 - Binomial model Over the coming year, Ragworts...Ch. 21 - Binomial model Imagine that Amazons stock price...Ch. 21 - Prob. 3PSCh. 21 - Binomial model Suppose a stock price can go up by...Ch. 21 - Prob. 6PSCh. 21 - Two-step binomial model Suppose that you have an...Ch. 21 - Prob. 8PSCh. 21 - Option delta a. Can the delta of a call option be...Ch. 21 - Option delta Suppose you construct an option hedge...Ch. 21 - BlackScholes model Use the BlackScholes formula to...
Ch. 21 - Option risk A call option is always riskier than...Ch. 21 - Option risk a. In Section 21-3, we calculated the...Ch. 21 - Prob. 16PSCh. 21 - Prob. 18PSCh. 21 - American options The price of Moria Mining stock...Ch. 21 - American options Suppose that you own an American...Ch. 21 - American options Recalculate the value of the...Ch. 21 - American options The current price of the stock of...Ch. 21 - American options Other things equal, which of...Ch. 21 - Option exercise Is it better to exercise a call...Ch. 21 - Option delta Use the put-call parity formula (see...Ch. 21 - Option delta Show how the option delta changes as...Ch. 21 - Dividends Your company has just awarded you a...Ch. 21 - Option risk Calculate and compare the risk (betas)...Ch. 21 - Option risk In Section 21-1, we used a simple...Ch. 21 - Prob. 30PS
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- In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1) What assumptions underlie the OPM? (2) Write out the three equations that constitute the model. (3) According to the OPM, what is the value of a call option with the following characteristics? Stock price = 27.00 Strike price = 25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49arrow_forwardBinomial Model The current price of a stock is 20. In 1 year, the price will be either 26 or 16. The annual risk-free rate is 5%. Find the price of a call option on the stock that has a strike price of 21 and that expires in 1 year. (Hint: Use daily compounding.)arrow_forwardWhat makes for a good investment? Use the approximate yield formula or a financial calculator to rank the following investments according to their expected returns. Buy a stock for $30 a share, hold it for three years, and then sell it for $60 a share (the stock pays annual dividends of $2 a share). Buy a security for $40, hold it for two years, and then sell it for $100 (current income on this security is zero). Buy a one-year, 5 percent note for $1,000 (assume that the note has a $1,000 par value and that it will be held to maturity).arrow_forward
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