Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 7, Problem 28PS
Assume both portfolios A and B are well diversified, that E(rA) = 14% and E(rB) = 14.8%. If the economy has only one factor, and B1= 1 while B2 = 1.1, what must be the risk-free rate? (LO 7-4)
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Assume both portfolios A and B are well diversified, that E(rA) = 12.6% and E(rB) = 13.6%. If the economy has only one factor, and βA = 1 while βB = 1.2, what must be the risk-free rate? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
4. Suppose that there are 2 assets with ri
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Assume that both portfolios A and B are well diversified, that E(rA) = 16%, and E(rB) = 14%. If the economy has only one factor, and βA = 1.0, whereas βB = 0.8, what must be the risk-free rate? (Do not round intermediate calculations.)
Chapter 7 Solutions
Essentials Of Investments
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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- Assume that both portfolios A and B are well diversified, that E(rA) = 22%, and E(rB) = 17%. If the economy has only one factor, and βA = 1.5, whereas βB = 1.1, what must be the risk-free rate? (Do not round intermediate calculations. Round your answer to two decimal places.)arrow_forwardSuppose the CAPM is true. Consider two assets, X and Y, and the market M. Suppose cov(X,M) = .3, cov(Y,M) = .5. %3D (a) Is the expected return higher on X or Y? (b) Suppose var(M) = 1.5, what are the betas of X and Y? (c) Suppose the expected market return is 20% and the risk free rate is 5%, what is the expected returns of X and Y?. (d) Given your analysis in (a)-(c), what type of investor would prefer asset X to asset Y?arrow_forward2C) Assume that the CAPM holds in the economy. The following data is available about the market portfolio, the riskless rate, and two risky assets, W and X: The market portfolio has a standard deviation equals to 10%, stock W has an expected return equals to 16%, standard deviation equals to 12%, and beta equals to one, stock X has a standard deviation equals to 6% and beta equals to 0.7. The risk-free rate is 3%. What is the expected return and the beta of the market portfolio? What is the expected return on asset X? Does asset W lie on the Capital Market Line? Explain why or why not. Suppose you invested $100,000 in these two stocks. The beta of your portfolio is 1.25. How much did you invest in each stock? What is the expected return of this portfolio?arrow_forward
- 4. Suppose portfolio P's expected return in 12%, its volatility (standard deviation) is 20%, and the risk-free rate is 5%. Suppose further that a particular mix of asset i and P yields a portfolio P’with an expected return of 18% and a volatility of 30%. a. Compute for the Sharpe ratio of P. b. Compute for the Sharpe ratio of P'. Is adding asset i beneficial? Explain.arrow_forwardAssuming two risk-free rates for lending and borrowing in the market: r(f) and r(b). Suppose your utility function is described by U = E(r) - 0.5A xo² with A> 0, and you are combining the risk-free asset with the optimal risky asset to maximize the utility. Consider the following two situations: 1. Suppose r(b) = r(f): you form the optimal complete portfolio C1 by borrowing money at r(f) and invest y1 (i.e., y1 represents portfolio weight) in the optimal risky portfolio (P1). Your utility score under this situation is denoted as U1; II. Suppose r(b) >r(f): you form another optimal complete portfolio C2 by borrowing money at r(b) and invest y2 (1.e., y2 represents portfolio weight) in the optimal risky portfolio (P2). Your utility score under this situation is denoted as U2. For simplicity, let's assume the optimal risky portfolios under these two situations are the same (i.e., E(P1)=E(P2) and o(P1) = o(P2)). What are the relationship between y1 and y2, U1 and U2: O a. y1=y2 and U1=U2 O…arrow_forwardConsider an economy with a (net) risk-free return r1 = 0:1 and a market portfolio with normally distributed return, with ErM = 0:2 and 2M = 0:02. Suppose investor A has CARA preferences, with risk aversion coe¢ cient equal to 1 and an endowment of 10. a) Write down the maximization problem for the investor. b) Determine the amount invested in the risky portfolio and in the risk-free asset. c) Suppose another investor (B) has a coe¢ cient of absolute risk aversion equal to 2 (and the same endowment 10). Compute his optimal portfolio and compare it to that of investor A. Explain the di§erent results for investors A and B. d) Finally, consider Investor C with mean-variance preferences Ec V ar(c) (and endowment 10). Compute his optimal portfolio and compare it to that of investors A and B (as obtained in questions b and c). Compare your result with those obtained for investors A and B.arrow_forward
- We believe that the single factor model can predict any individual asset’s realized rate of return well. Both Portfolio A and Portfolio B are well-diversified: ri = E(ri) + βiF + Ei, where E(ei) = 0 and Cov(F, i) = 0 A B β 1.2 0.8 E(r) 0.1 0.08 (1) What is the rate of return of the risk-free asset? (2) What is the expected rate of return of the well-diversified portfolio C with βC = 1.6, which also exists in the market? (3) A fund constructs a well-diversified portfolio D. Studies show that βD = 0.6. The expected rate of return of D is 0.06. Is there an arbitrage opportunity? If so, construct a trading strategy to earn profits with no risk. If not, why?arrow_forwardAssume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?arrow_forwardAssume that both portfolios A and B are well diversified, that E(rA) = 20% and E(rB) = 15%. If the economy has only one factor, and BetaA = 1.3, whereas BetaB = 0.8, what must be the risk-free rate (write as percentage, rounded to two decimal places)?arrow_forward
- choose which one ? 3.Assume CAPM holds. What is the correlation between an efficient portfolio and the market portfolio?a.1b.-1c.0d.Not enough informationarrow_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_forwardSuppose that there are two independent economic factors, F1 and F2. The risk-free rate is 6%. The following are well-diversified portfolios: Portfolio Beta on F1 Beta on F2 Expected Return A 1.5 2.0 31% B 2.2 -0.2 27% [i]. What is the risk premium for F1?arrow_forward
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Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License