Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Textbook Question
Chapter 21, Problem 5P
Suppose the option in Example 21.11 actually sold in the market for $8. Describe a trading strategy that yields arbitrage profits.
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Suppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?
Consider a financial market consisting of a bank account So(t) and a stock S₁ (t) modelled on a
probability space (, F, P) with the time indices t = 0, 1, 2, ..., T.
Give conditions under which a market is arbitrage-free. Explain what it means to say that a market
is complete. Give conditions under which an arbitrage-free market is complete.
Provide a numerical example of an arbitrage strategy for situations where the forward is trading above, and below the theoretical forward price.
Chapter 21 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 21.1 - What is the key assumption of the binomial option...Ch. 21.1 - Why dont we need to know the probabilities of the...Ch. 21.1 - Prob. 3CCCh. 21.2 - What are the inputs of the Black-Scholes option...Ch. 21.2 - What is the implied volatility of a stock?Ch. 21.2 - How does the delta of a call option change as the...Ch. 21.3 - What are risk-neutral probabilities? How can they...Ch. 21.3 - Does the binominal model or Black-Scholes model...Ch. 21.4 - Is the beta of a call greater or smaller than the...Ch. 21.4 - What is the leverage ratio of a call?
Ch. 21.5 - Prob. 1CCCh. 21.5 - The fact that equity is a call option on the firms...Ch. 21 - The current price of Estelle Corporation stock is...Ch. 21 - Using the information in Problem 1, use the...Ch. 21 - Suppose the option in Example 21.11 actually sold...Ch. 21 - Eagletrons current stock price is 10. Suppose that...Ch. 21 - What is the highest possible value for the delta...Ch. 21 - Hema Corp. is an all equity firm with a current...Ch. 21 - Consider the setting of Problem 9. Suppose that in...Ch. 21 - Roslin Robotics stock has a volatility of 30% and...Ch. 21 - Rebecca is interested in purchasing a European...Ch. 21 - Using the data in Table 21.1, compare the price on...Ch. 21 - Consider again the at-the-money call option on...Ch. 21 - Harbin Manufacturing has 10 million shares...Ch. 21 - Using the information on Harbin Manufacturing in...Ch. 21 - Using the information in Problem 1, calculate the...Ch. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Calculate the beta of the January 2010 9 call...Ch. 21 - Consider the March 2010 5 put option on JetBlue...
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- a. Explain how and why an increase in each of the following affects the prices of both call and putoptions, holding all other variables constant: i. The current stock price ii. The strike pricearrow_forwardAn efficient capital market is best defined as a market in which security prices reflect which one of the following? Multiple Choice A Current inflation B A risk premium C All available information D The historical arithmetic rate of return E The historical geometric rate of returnarrow_forwardCompute the (1) net present value, (2) profitablility index, and (3) internal rate of return for each option.arrow_forward
- The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True Falsearrow_forwardIn the Black-Scholes option pricing model, the value of a call is inversely related to: a. the risk-free interest stock b. the volatility of the stock c. its time to expiration date d. its stock price e. its strike pricearrow_forwardWhich of the following statements true? A call option price is increasing in stock return volatility A put option price is decreasing in stock return volatility I. II. A) I. and II. are true B) I. is true and II. is false C) II. is true and I. is false D) I. and II. are false |arrow_forward
- Consider a forward contract on a stock that pays dividends at specific times ti, where 0 < t1 < t2 < ... < tn < T. Suppose that the dividend is a fixed amount: Di at fixed times ti. Show that in this case, the forward contract price is given byarrow_forwardSuppose that call options on a stock with strike prices $100 and $106 cost $8 and $5, respectively. How can the options be (the profits from option positions and the total profit).arrow_forward6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the set of available risky securities, and M the market portfolio. For the questions that follow, assume that CAPM provides an accurate description of reality. a. b. C. d. State the CAPM equation. (1) Use the CAPM equation to show that the following condition is true s; ≤ SM for any j. What is the significance of this condition when interpreted in the context of the capital market line? (5) Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determine the expected return from holding one unit of asset j for one period. (2) Given your answer to c.), what could you conclude (from the perspective of the security market line) if a market survey indicated that the forecasted one- period return on asset j was 8 percent? Describe and motivate the rational trading response that is consistent with your conclusion. (4)arrow_forward
- The market portfolio (M) has the expected rate of return E(rM) = 0.12. Security A is traded in the market. We know that E(rA) = 0.17 and βA = 1.5. (1) What is the rate of return of the risk-free asset (rf)? (2) Security B is also traded in the market. βB = 0.8. Then what is “fair” expected rate of return of security B according to the CAPM? (3) Security C is a third security traded in the market. βC = 0.6, and from the market price, investors calculate E(rC) = 0.1. Is C overpriced or underpriced? What is αC?arrow_forwardRm-R is read as: O a. The return offered by the market over and above the risk-free rate O b. Market risk premium- Oc. Excess return on the market C. Od. All options are correctarrow_forwardQuestions C and D is required. c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B (B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)arrow_forward
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