Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3.A, Problem A.2P
Suppose security Chas a payoff of $600 when the economy is weak and $1800 when the economy is strong. The risk-free interest rate is 4%.
- a. Security C has the same payoffs as which portfolio of the securities A and B in Problem A. 1?
- b. What is the no-arbitrage price of security C?
- c. What is the expected return of security C if both states are equally likely? What is its risk premium?
- d. What is the difference between the return of security C when the economy is strong and when it is weak?
- e. If security C had a risk premium of 10%, what arbitrage opportunity would be available?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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?
a) Suppose the risk-free rate is 7% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations
b) explain when a security is overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model.
Exploring Finance: The Security Market Line and Inflation Changes
Security Market Line: Inflation Changes
Conceptual Overview: Explore how inflation changes the security market line.
The Security Market Line defines the required rate of return for a security to be worth buying or holding. The line, depicted in blue in the graph, is the sum of the risk-free return (rf in the slider) and a risk premium determined by the market-risk premium (RPM) multiplied by the security's beta coefficient for risk. Drag the slider below the graph to change the amount of the risk-free return. These changes reflect changes in inflation. Drag left or right on the graph to move the cursor to evaluate securities with different beta coefficients. In this graph, the market-risk premium is fixed at 5%.
r = r_{RF} + RP_M * beta = 6\% + 5\% * 1 = 6\% + 5.00\% = 11.00\%r=rRF+RPM∗beta=6%+5%∗1=6%+5.00%=11.00%
1. If the risk-free return were 4.0% and a security's beta coefficient were 2.0, what would be…
Chapter 3 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 3.1 - Prob. 1CCCh. 3.1 - If crude oil trades in a competitive market, would...Ch. 3.2 - How do you compare costs at different points in...Ch. 3.2 - Prob. 2CCCh. 3.3 - What is the NPV decision rule?Ch. 3.3 - Why doesnt the NPV decision rule depend on the...Ch. 3.4 - Prob. 1CCCh. 3.4 - Prob. 2CCCh. 3.5 - If a firm makes an investment that has a positive...Ch. 3.5 - Prob. 2CC
Ch. 3.5 - Prob. 3CCCh. 3.A - The table here shows the no-arbitrage prices of...Ch. 3.A - Suppose security Chas a payoff of 600 when the...Ch. 3.A - Prob. A.3PCh. 3.A - Prob. A.4PCh. 3.A - Prob. A.5PCh. 3.A - Consider a portfolio of two securities: one share...Ch. 3.A2 - Why does the expected return of a risky security...Ch. 3.A2 - Prob. 2CCCh. 3.A3 - Prob. 1CCCh. 3.A3 - Prob. 2CCCh. 3 - Honda Motor Company is considering offering a 2000...Ch. 3 - You are an international shrimp trader. A food...Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - You have decided to take your daughter skiing in...Ch. 3 - Suppose the risk-free interest rate is 4%. a....Ch. 3 - You have an investment opportunity in Japan. It...Ch. 3 - Your firm has a risk-free investment opportunity...Ch. 3 - You run a construction firm. You have just won a...Ch. 3 - Your firm has identified three potential...Ch. 3 - Your computer manufacturing firm must purchase...Ch. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - An American Depositary Receipt (ADR) is security...Ch. 3 - Prob. 15PCh. 3 - An Exchange-Traded Fund (ETF) is a security that...Ch. 3 - Consider two securities that pay risk-free cash...Ch. 3 - Prob. 18P
Additional Business Textbook Solutions
Find more solutions based on key concepts
(Interest rate determination) You’re looking at some corporate bonds issued by Ford, and you are trying to det...
Foundations of Finance (9th Edition) (Pearson Series in Finance)
Risk Premiums and Discount Rates. Top hedge fund manager Sally Buffit believes that a stock with the same marke...
FUNDAMENTALS OF CORPORATE FINANCE
Problems encountered while comparing companies based on the ratios. Introduction: Ratio establishes the relatio...
Gitman: Principl Manageri Finance_15 (15th Edition) (What's New in Finance)
The current stock price. Introduction: Stock price is a price of a share on the number of saleable stock of a c...
Fundamentals of Corporate Finance
Opportunity cost of capital Which of the following statements are true? The opportunity cost of capital:
Equals...
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Risk Premiums and Discount Rates. Top hedge fund manager Sally Buffit believes that a stock with the same marke...
Fundamentals of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- 1. Suppose there are three complex securities and three different states as follows: Security So S₁(1) S₁ (2) S₁ (3) 1.2 3 0 0 1.8 4 2 0 1.2 2 1 1 2 10 4 A B C D (a) Find the arbitrage-free price of asset D. (b) What is the risk-free return compatible with these asset prices?arrow_forwarda) Suppose the risk-free rate is 1% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations and discuss your resultsarrow_forwarda) Suppose the risk-free rate is `X'% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations and discuss your results. b) Using a graph, explain when a security is overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model. Plot your answer from (a) onto this graph.arrow_forward
- Suppose you observe the following situation: Security Beta Expected Return Pete Corp. 1.70 0.180 Repete Col 1.39 0.153 What is the risk-free rate? (Do not round intermediate calculations. Round the final answer to 3 decimal places) Risk-free rate % Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Expected Return on Market Pete Corp. Repete Co.%arrow_forwardSuppose the Capital Asset Pricing Model (CAPM) is valid in a market. Use CAPM to ex- plain and answer following questions. Note: There is no relationship between each situation. (a) Can security A exist in the market? (Hint: Security market line) If yes, compute risk premium on security A. If not, is this security underpriced or overpriced? Expected return 5% Asset Beta Risk-free Market 12% 1 A 15% 1.3 (b) Can security B exist in the market? (Hint: Security market line) If yes, compute risk premium on security B. If not, is this security underpriced or overpriced? Expected return 6% Asset Beta Risk-free Market 13% 16.5% 1 1.5 Suppose the expected cash flow can be collected from investment in security B is $1000 at time 1. And an investor thinks the beta of security B is 1.8. But the actual beta is given in the above table. Then how much more/less (you also need to select "more" or "less") will he offer for the firm than it is truly worth at time 0? Hint: the present value of the cash…arrow_forwardAssume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9 6 C 1.1 11 15 a. If σM = 16%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)arrow_forward
- Exploring Finance: The Security Market Line and Risk Premium Changes Security Market Line: Risk Premium Changes Conceptual Overview: Explore how risk premium changes affect the security market line. The Security Market Line defines the required rate of return for a security to be worth buying or holding. The line, depicted in blue in the graph, is the sum of the risk-free return (rf in the slider) and a risk premium determined by the market-risk premium (RPM) multiplied by the security's beta coefficient for risk. Drag the slider below the graph to change the relationship between a security's beta coefficient and the amount of the market risk premium. Drag left or right on the graph to move the cursor to evaluate securities with different beta coefficients. In this graph, the risk-free return is fixed at 6%. r = r_{RF} + RP_M * beta = 6\% + 5\% * 1 = 6\% + 5.00\% = 11.00\%r=rRF+RPM∗beta=6%+5%∗1=6%+5.00%=11.00% 1. If the market-risk premium were 4% and a security's beta…arrow_forward8. Suppose security X achieves 20% return with half chance and -10% return with half chance. (a) What is the expected return of X? What is the risk (return volatility) of X? (b) Suppose security Y achieves 22% return with 55% chance and -8% return with 45% chance. Suppose you like return and dislike risk (just like all investors). Suppose you can only invest in one of the two securities. Which security (X or Y) would you choose, and why?arrow_forwardWant answerarrow_forward
- Assume that the following two assets are priced according to the zero-beta security market line: asset 1 has expected return of 6% and beta 0.5; asset 2 has expected return 14% and beta 2. (i) A third asset is mispriced by the market: it has beta 1.5 and expected return of 8%. Explain how you can set up a portfolio to exploit the arbitrage opportunity. What is the expected return of such portfolio? [33%] (ii) A fourth asset is mispriced by the market: it has beta 1.2 and expected return of 18%. Explain how you can set up a portfolio to exploit the arbitrage opportunity. What is the expected return of such portfolio? [33%] (iii) What should be the expected return for an asset with beta 0.8?arrow_forwardExploring Finance: Security Market Line. Security Market Line Conceptual Overview: Explore the determinants of the security market line. The Security Market Line defines the required rate of return for a security to be worth buying or holding. The line, depicted in blue in the graph, is the sum of the risk-free return (rf in the slider) and a risk premium determined by the market-risk premium (RPM) multiplied by the security's beta coefficient for risk. Drag the rf slider below the graph to change the amount of the risk-free return. These changes reflect changes in inflation. Drag the RPM slider below the graph to change the relationship between a security's beta coefficient and the amount of the market risk premium. Drag left or right on the graph to move the cursor line to evaluate securities with different beta coefficients. r = r_{RF} + RP_M * beta = 6\% + 5\% * 1 = 6\% + 5.00\% = 11.00\%r=rRF+RPM∗beta=6%+5%∗1=6%+5.00%=11.00% 1. For a risk-free return rate of 5%, a…arrow_forwardExpected returnarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning
Intermediate Financial Management (MindTap Course...
Finance
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Cengage Learning
Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License