CONNECT WITH LEARNSMART FOR BODIE: ESSE
11th Edition
ISBN: 9781265046392
Author: Bodie
Publisher: MCG
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Chapter 7, Problem 35C
Suppose the market can be described by the following three sources of systematic risk. Each factor in the following table has a mean value of zero (so factor values represent realized surprises relative to prior expectations), and the risk premiums associated with
each source of systematic risk are given in the last, column.
Systematic Factor Risk Premium Industrial roduction. IP 6% Interest rates. INT 2 Credit risk, CRF 4
The excess return, R, on a particular stock is described by the following equation that relates realized returns to surprises in the three systematic factors:
R = 6% + IMIP +.5 INT +.75 CRFD +e
Find the equilibrium expected excess return on this stock using the APT. Is the stock overpriced or underpriced? (LO 7-3)
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The additional return over the risk-free rate needed to compensate investors for assuming an
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b.
Risk-free rate
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e.
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Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums.
Factor
Risk Premium
Industrial production (I)
8
%
Interest rates (R)
4
%
Consumer confidence (C)
6
%
The return on a particular stock is generated according to the following equation:
r = 16% + 1.6I + 0.8R + 1.30C + e
a-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 4%. (Do not round intermediate calculations. Round your answer to 1 decimal place.)
a-2. Is the stock over- or underpriced?
E(FAssume 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 (Rs) on stock B. The risk-free rate (R;) is one-fourth of the required
return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (BA) to beta of B
(BB).
a o
Chapter 7 Solutions
CONNECT WITH LEARNSMART FOR BODIE: ESSE
Ch. 7 - Prob. 1PSCh. 7 - Consider the statement: “If we can identify a...Ch. 7 - Are the following true or false? Explain. (LO 7-5)...Ch. 7 - Here are data on two companies. The T-bill rate is...Ch. 7 - Characterize each company in the previous problem...Ch. 7 - What is the expected rate of return for a stock...Ch. 7 - Kaskin, Inc., stock has a beta of 1.2 and Quinn,...Ch. 7 - What must be the beta of a portfolio with E(rf)) =...Ch. 7 - The market price of a security is $40. Its...Ch. 7 - You arc a consultant to a large manufacturing...
Ch. 7 - Consider the following table, which gives a...Ch. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - If the simple CAPM is valid, which of the...Ch. 7 - Prob. 16PSCh. 7 - If the simple CAPM is valid, which of the...Ch. 7 - Prob. 18PSCh. 7 - Prob. 19PSCh. 7 - Prob. 20PSCh. 7 - In problem 2123 below, assume the risk-free rate...Ch. 7 - Prob. 22PSCh. 7 - In problem 2123 below, assume the risk-free rate...Ch. 7 - Two investment advisers are comparing performance....Ch. 7 - Suppose the yield on short-term government...Ch. 7 - Based on current dividend yields and expected...Ch. 7 - Consider the following data for a single index...Ch. 7 - Assume both portfolios A and B are well...Ch. 7 - Prob. 29PSCh. 7 - Prob. 30PSCh. 7 - Et
Ch. 7 - Suppose two factors are identified for the U.S....Ch. 7 - Suppose there are two independent economic...Ch. 7 - As a finance intern at Pork Products, Jennifer...Ch. 7 - Suppose the market can be described by the...Ch. 7 - Which of the following statements about the...Ch. 7 - Kay, a portfolio n1anacr at Collins Asset...Ch. 7 - Prob. 3CPCh. 7 - Jeffrey Bruner, CFA, uses the capital asset...Ch. 7 - Prob. 5CPCh. 7 - According to CAPM, the expected rate of a return...Ch. 7 - Prob. 7CPCh. 7 - Prob. 8CPCh. 7 - 9. Briefly explain whether investors should expect...Ch. 7 - Assume that both X and Y are well-diversified port...Ch. 7 - Prob. 11CPCh. 7 - 12. A zero-investment, well-diversified portfolio...Ch. 7 - 13. An investor takes as large a position as...Ch. 7 - In contrast to the capital asset pricing model,...Ch. 7 - Prob. 1WMCh. 7 - Prob. 2WMCh. 7 - Prob. 3WMCh. 7 - a. Which of the stocks would you classify as...
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- 2arrow_forwardWhich of the following statements is TRUE? O A. If the risk-free rate is 1.5% and the market risk premium is 6%, then the expected return on the market would be 4.5%. O B. CAPM is a model for relating unsystematic risk to the expected return on an asset. OC. According to CAPM, stocks with greater than average market risk would have an expected return lower than the expected return on the market. O D. If a company's beta is less than 1.0, then it is less risker than market.arrow_forward1. Risk free rate represents: a. The market rate of return b. The rate provided by long term government securities c. Beta d. The rate provided by short term government securities 2. The market risk premium is measured by: a. T-bill rate. b. market return less risk-free rate. c. beta. d. standard deviation. 3. A stock with a beta of one would be expected to have a rate of return equal to a. the market risk premium b. the risk-free rate c. the market rate of return d. zeroarrow_forward
- 1arrow_forwardAttached imagearrow_forwardUSE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Stock Rit Rmt ai Beta C 12 10 0 0.8 E 10 8 0 1.1 Rit = return for stock i during period t Rmt = return for the aggregate market during period t What is the abnormal rate of return for Stock C during period t using only the aggregate market return (ignore differential systematic risk)?arrow_forward
- Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.arrow_forwardExercises: a. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance between the returns of A and B is 0.006. The correlation of returns between A and B is: b. Explain the differences between systemic risk and unsystematic risk, give additional examples c. Compare and contrast the Capital Market Line and Security Market Line d. The covariance of the market's returns with the stock's returns is 0.008. The standard deviation of the market's returns is 0.08, and the standard deviation of the stock's returns is 0. 11. What is the correlation coefficient of the returns of the stock and the returns of the market? e. According to the CAPM, what is the required rate of return for a stock with a beta of 0.7, when the risk-free rate is 7% and the expected market rate of return is 14%arrow_forwardConsider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?arrow_forward
- Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock A B Expected Return 11% 17 Correlation -1 Risk-free rate Standard Deviation 6% 9 Suppose that it is possible to borrow at the risk-free rate, r. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.) %arrow_forwardSubject :- Financearrow_forwardc) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). (10 marks)d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (10 marks)(Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)arrow_forward
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