Loose-Leaf Essentials of Investments
10th Edition
ISBN: 9781259604966
Author: Kane, Alex, Marcus Professor, Alan J., Bodie Professor, Zvi
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 7, Problem 10PS
The market price of a security is $40. Its expected
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a) Suppose the risk-free rate is 5% 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)Stock 1 has a standard deviation of return of 6%. Stock 2 has a standard deviation of return of 2%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results.
You decide now to combine your portfolio (discussed in question b) with another portfolio with the same standard deviation and invest equally in both portfolios. The correlation between the two portfolios is zero.
d) What is the standard deviation of…
the risk free rate is 3% and the market premium rM rRF is 4%. stock A has a beta of 1.2, and stock B has a beta of 0.8.
what is the required rate of return on each stock?
assume that investors become less willing to take risk (i.e, they become more risk averse), so the market risk premium rises from 4% to 6%. Assume that the risk free rate remains constant. what effect will this have on the required rates of return on the two stocks?
The following below are the expected return and betas of the given set of securities. Given that the risk free rate is 7% and the market return is 13%.
Security
N
O
P
Return
20
21
23
Beta
1.2
1.8
0.82
Calculate the market risk premium, and the expected return of each asset using CAPM.
Chapter 7 Solutions
Loose-Leaf 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 - Prob. 8PSCh. 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 Temp Force has a beta coefficient of 1.2, that the risk-free rate (the yield on T-bonds) is 7.0%, and that the market risk premium is 5%. What is the required rate of return on the firms stock?arrow_forwardSuppose the rate of return on short-term government securities (perceived to be risk-free) is about 7%. Suppose also that the expected rate of return required by the market for a portfolio with a beta of 1 is 13%. According to the capital asset pricing model: a. What is the expected rate of return on the market portfolio? (Round your answer to 2 decimal places.) b. What would be the expected rate of return on a stock with β = 0? (Round your answer to 2 decimal places.) c. Suppose you consider buying a share of stock at $47. The stock is expected to pay $3.5 dividends next year and you expect it to sell then for $49. The stock risk has been evaluated at β = –.5. Is the stock overpriced or underpriced? A. Underpriced B. Overpricedarrow_forwardSuppose the market premium is 12%, market volatility is 20% and the risk-free rate is 6%. Suppose a security has a beta of 0.8. Using the CAPM, what is its expected return? (Round off the final answer to one decimal place. Example of writing your answer 2.5%)arrow_forward
- Suppose the CAPM holds. You know that the average investor has a degree risk aversion of 3.3. The current risk free rate is 0.012, the inflation is estimated 0.017, and the volatility of the market is 0.17. What is the market risk premium? [*.000]arrow_forwardUsing the CAPM theory, if the Volatility of a stock is twice as great as the market, the market return on stocks in general (using the S&P 500 as a proxy) is 12 %, and treasury bills are yielding 2%, what is the return that investors in that security can expect? C r = Rf + beta x (Km - Rf) where r is the expected (required) return rate on a security (based on how risky it is); Rf is the rate of a "risk-free" investment, i.e. cash; Km is the return rate of the appropriate asset class (Market Return) Beta measures the volatility of the security, relative to the asset class. 12% 16% 22% Capital Assets Pricing Model 20%arrow_forwardAccording to the CAPM, what is the expected return on a security given market risk premium of 13%, a stock beta of 1.77, and a risk free interest rate of 2%? Put the answer in decimal place.arrow_forward
- Suppose the risk-free rate goes up to 7%.What effect would higher interest rates have onthe SML and on the returns required on highrisk and low-risk securities? (2) Suppose insteadthat investors’ risk aversion increased enoughto cause the market risk premium to increase to8%. (Assume the risk-free rate remains constant.)What effect would this have on the SML and onreturns of high- and low-risk securities?arrow_forward8. Assume the risk-free rate is 6.7% and the expected return on the market portfolio is 7.8%. Use the capital asset pricing model (CAPM) to find the required return for each of the securities in the table here, 7. Review On Click the icon to see the Worked Solution. The required return for investment A is %. (Round to one decimal place.) The required return for investment B is %. (Round to one decimal place.) The required return for investment C is %. (Round to one decimal place.) The required return for investment D is %. (Round to one decimal place.) The required return for investment E is %. (Round to one decimal place.) 7: Data Table (Click on the icon here in order to copy its contents of the data table below into a spreadsheet.) Security Beta A 1.34 в 0.93 0.13 0.96 E 0.67arrow_forwardThe risk-free rate is 3% and the expected rate of return on the market portfolio is 8%. a. Calculate the required rate of return on a security with a beta of 2.16. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. If the security is expected to return 13%, is it overpriced or underpriced?arrow_forward
- risk-free rate have to be if they are correctly priced? (See Problems 19 and 20.) 11.4 CAPM Suppose the risk-free rate is 8 percent. The expected return on the market is 14 percent. If a particular stock has a beta of .60, what is its expected return based on the CAPM? If another stock has an expected return of 20 percent, what must its beta be? (See Problem 13.)arrow_forwardSuppose the market premium is 12%, market volatility is 20% and the risk-free rate is 6%. Suppose a security has a beta of 0.8. Using the CAPM, what is its expected return?arrow_forwardAssume the Black-Scholes framework. Let S be a stock such that S(0) = 21, the dividend rate is δ = 0.02, the risk free rate is r = 0.05, and the volatility is σ = 0.2. (a) Calculate the expected payoff of a 6 month call with strike price 17. (b) Calculate the cost of such a call. (c) Calculate the cost of a 6 month put with strike price 17. (d) Calculate the price of a derivative that pays |S(0.5) − 17| in six monthsarrow_forward
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