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 4PS
a)
Summary Introduction
To determine: Value of call option by using replicating portfolio method.
b)
Summary Introduction
To determine: Value of call based on risk-neutral method.
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Thefuture of the economy has two and only two scenarios. The table below gives the returns in the next month of the market portfolio and two individual stocks under each scenario.
Probability
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Aggressive Stock
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0.3
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-2%
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0.7
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Assume that the T-bill rate is 5%. Are these two stocks fairly priced? Explain your results based on the Capital Asset Pricing Model.
A stock is priced at $50 with a volatility of 35 percent. A call option with an exercise price of $50 has an expiration in one year. The risk-free rate is 5 percent. Construct a table for stock prices of $5, 10, 15, ..., 100. Compute the Black–Scholes–Merton price of the call and the European lower bound and verify that the former is at least as large as the latter. Provide in-text citations and explain in detail.
A. If a stock costs $55 one month and drops to $45 the next month, what is the expected stock price the next month, if we assume the stock follows a random walk?
B. Explain both technical and fundamental analysis and what form of the efficient market hypothesis corresponds to each.
Chapter 21 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 21 - Prob. 1PSCh. 21 - Option delta a. Can the delta of a call option be...Ch. 21 - Prob. 4PSCh. 21 - Binomial model Over the coming year, Ragworts...Ch. 21 - BlackScholes model Use the BlackScholes formula to...Ch. 21 - Option risk A call option is always riskier than...Ch. 21 - Prob. 8PSCh. 21 - Prob. 9PSCh. 21 - Binomial model Suppose a stock price can go up by...Ch. 21 - American options The price of Moria Mining stock...
Ch. 21 - Prob. 12PSCh. 21 - American options Suppose that you own an American...Ch. 21 - Prob. 14PSCh. 21 - Prob. 15PSCh. 21 - American options The current price of the stock of...Ch. 21 - Option delta Suppose you construct an option hedge...Ch. 21 - Prob. 19PSCh. 21 - American options Other things equal, which of...Ch. 21 - Option exercise Is it better to exercise a call...Ch. 21 - Prob. 22PSCh. 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 - Prob. 27PSCh. 21 - Prob. 28PSCh. 21 - Prob. 29PS
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?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_forwardYour client has decided that the risk of the bond portfolio is acceptable and wishes to leave it as it is. Now your client has asked you to use historical returns to estimate the standard deviation of Blandy’s stock returns. (Note: Many analysts use 4 to 5 years of monthly returns to estimate risk, and many use 52 weeks of weekly returns; some even use a year or less of daily returns. For the sake of simplicity, use Blandy’s 10 annual returns.)arrow_forward
- Binomial 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_forwardYou have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?arrow_forwardPerform all calculations with excel: ABC Corporation is currently trading at $40, with volatility\ sigma 30%, r = 5%, and no dividends. Assume that the ABC stock price can be modeled according to a three period binomial approach with T = 9 months and n = 3, so that the stock price moves every 3 months. 1. Build out the binomial tree for ABC. 2. What is the value of an American put option with strike price 40? 3. What is the value of a European call option with strike price 50?arrow_forward
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