Fundamentals of Corporate Finance Alternate Edition
10th Edition
ISBN: 9780077479459
Author: Stephen A. Ross, Randolph W. Westerfield, Bradford D. Jordan
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 13, Problem 7CRCT
Portfolio Risk [LO2] If a portfolio has a positive investment in every asset, can the standard deviation on the portfolio be less than that on every asset in the portfolio? What about the portfolio beta?
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Consider the following information:
Standard Deviation. Beta
Security T 30% 1.90
Security K. 30% 1.20
a. Which security has more total risk?
b. Which security has more systematic risk?
c. Which security should have the higher expected return?
d. What does the total risk consist of? What kind of risk is eliminated with portfolio diversification?
2. Based on the chart above, which portfolio is “better” based on Markowitz approach to portfolio construction? A. A, because it has zero risk B. B, because it is safe than C C. C, because it has higher return D. B & C are equally good because both have same “return relative to the risk taken” and the choice between the two is a matter of investors preference
A4)
Critically explain the risk premium of a zero-beta stock. Does this mean you can lower the volatility of a portfolio without changing the expected return by substituting out any zero-beta stock in a portfolio and replacing it with the risk-free asset?
Chapter 13 Solutions
Fundamentals of Corporate Finance Alternate Edition
Ch. 13.1 - How do we calculate the expected return on a...Ch. 13.1 - In words, how do we calculate the variance of the...Ch. 13.2 - What is a portfolio weight?Ch. 13.2 - How do we calculate the expected return on a...Ch. 13.2 - Is there a simple relationship between the...Ch. 13.3 - What are the two basic parts of a return?Ch. 13.3 - Under what conditions will a companys announcement...Ch. 13.4 - Prob. 13.4ACQCh. 13.4 - Prob. 13.4BCQCh. 13.5 - What happens to the standard deviation of return...
Ch. 13.5 - What is the principle of diversification?Ch. 13.5 - Why is some risk diversifiable? Why is some risk...Ch. 13.5 - Why cant systematic risk be diversified away?Ch. 13.6 - Prob. 13.6ACQCh. 13.6 - What does a beta coefficient measure?Ch. 13.6 - True or false: The expected return on a risky...Ch. 13.6 - How do you calculate a portfolio beta?Ch. 13.7 - Prob. 13.7ACQCh. 13.7 - What is the security market line? Why must all...Ch. 13.7 - Prob. 13.7CCQCh. 13.8 - If an investment has a positive NPV, would it plot...Ch. 13.8 - What is meant by the term cost of capital?Ch. 13 - Prob. 13.1CTFCh. 13 - Prob. 13.5CTFCh. 13 - Beta is a measure of what?Ch. 13 - The slope of the security market line is equal to...Ch. 13 - Where would a negative net present value project...Ch. 13 - Prob. 1CRCTCh. 13 - Prob. 2CRCTCh. 13 - Systematic versus Unsystematic Risk [LO3] Classify...Ch. 13 - Systematic versus Unsystematic Risk [LO3] Indicate...Ch. 13 - Prob. 5CRCTCh. 13 - Diversification [LO2] True or false: The most...Ch. 13 - Portfolio Risk [LO2] If a portfolio has a positive...Ch. 13 - Beta and CAPM[LO4] Is it possible that a risky...Ch. 13 - Corporate Downsizing [LO1] In recent years, it has...Ch. 13 - Earnings and Stock Returns [LO1] As indicated by a...Ch. 13 - Prob. 1QPCh. 13 - Prob. 2QPCh. 13 - Prob. 3QPCh. 13 - Prob. 4QPCh. 13 - Prob. 5QPCh. 13 - Prob. 6QPCh. 13 - Prob. 7QPCh. 13 - Prob. 8QPCh. 13 - Prob. 9QPCh. 13 - Prob. 10QPCh. 13 - Prob. 11QPCh. 13 - Prob. 12QPCh. 13 - Prob. 13QPCh. 13 - Prob. 14QPCh. 13 - Prob. 15QPCh. 13 - Prob. 16QPCh. 13 - Prob. 17QPCh. 13 - 18. Using the SML [LO4] Asset W has an expected...Ch. 13 - Prob. 19QPCh. 13 - Prob. 20QPCh. 13 - Prob. 21QPCh. 13 - 22. CAPM [LO4] Using the CAPM, show that the ratio...Ch. 13 - Prob. 23QPCh. 13 - Prob. 24QPCh. 13 - Prob. 25QPCh. 13 - Prob. 26QPCh. 13 - Prob. 27QPCh. 13 - Prob. 28QPCh. 13 - Prob. 1MCh. 13 - Beta is often estimated by linear regression. A...Ch. 13 - Prob. 3MCh. 13 - Prob. 4MCh. 13 - Prob. 5M
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- 2C) 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_forwardH2. What are the different types of expected return and related risk, for individual assets and for portfolios as a whole. Explain carefully what each type represents and give examples in each case. What type of expected returns does the CAPM model capture? What type of expected return and risk you are exposed to if you have the FTSE 100 INDEX only in the portfolio?arrow_forwardQ.Why we can make money more than the risk-premium under the CAPM from this strategy (zero-cost HML portfolio), given the value effectarrow_forward
- 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_forwardANSWER C AND D PLEASE ONLY Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) / n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.a) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?b) Find A as a function of w. c) Does the investor put more or less of his portfolio into the risky assetas his wealth increases? d) Now find the share of wealth, α, invested in the risky asset. How doesα change with wealth?arrow_forwarda) 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.arrow_forward
- Suppose you observe the following situation:Security Beta Expected ReturnDiamond Co 1.3 0.2Spade Co 0.8 0.14 (a) According to the above information, could we figure out the market return and risk-free rate? Explain your answer. (b) Discuss the possibility of including zero beta or negative beta assets in your portfolio. Explain the pros and cons of including these types of assets.arrow_forward23. The certainty equivalent rate of a portfolio is a. the rate that a risk free investment would need to offer with certainty to be considered equally attractive as the risky portfolio. b. the rate that the investor must earn for certain to give up the use of his or her money. c. the minimum rate guarteed by institutions such as banks. d. the rate that equates "A" in the utility function with the average risk aversion coefficient for all risk averse investors. e. represented by the scaling factor "-.005' in the utility functionarrow_forward37 - An increase in investor risk aversion would be expected to: Increase the Risk-Free Rate while Decreasing the Expected Return on the Market Portfolio. Increase the Risk-Free Rate while Increasing the Expected Return on the Market Portfolio. Decrease the Risk-Free Rate while Decreasing the Expected Return on the Market Portfolio. Decrease the Risk-Free Rate while Increasing the Expected Return on the Market Portfolio. There is not enough information to determine how the Risk-Free Rate and Expected Return on the Market Portfolio will change. None of the above answers is correct.arrow_forward
- 1. What are the recommended options strategies when you expect the market has extreme (high) volatility?arrow_forwardd. Would this asset be considered more or less risky than the market? The asset is a. Equally as risky the market portfolio, which has a beta of a. 1 b. less risky than b. 0 c. more risky than c. -1arrow_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
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