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 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?
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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
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- a) 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_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_forward
- Description Please use the examples provided here to work on the following two problems (show your work): Problem 1: The real rate of interest is currently 2%; the inflation expectation an premiums for a security are shown below. Inflation expectation premium 5% Risk premium 4% Find the risk-free rate of interest, RF, that is applicable to the security. b. a. Find the nominal rate of interest for the security. Droblo m 3:arrow_forwardThe following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investments b1 b2 X 1.75 0.25 Y 1.00 2.00 Z 2.00 1.00 Assume that the expected risk premium is 4% on factor 1 and 8% on factor 2. Treasury bills offer zero risk premium. a. According to the APT, what is the risk premium on each of the three stocks? b. Suppose you buy $200 of X and $50 of Y and sell $150 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? c. Suppose you buy $80 of X and $60 of Y and sell $40 of Z. What is the sensitivity of your portfolio to…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_forward
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