Elsi is a risk-averse investor. She has invested 60% of her investment in share A and all the remainder in share B. Below are projections for the shares as well as the market. A B Market Expected return (%) Standard deviation (%) 10 30 20 40 70 30 Correlations A 1 B 0.2 1 Market 0.3 0.68 1 Required: a) What are the expected return and standard deviation of returns on the portfolio? b) The correlation between A and B is expected to be -1, what proportion should Elsi invest in A in order to form a minimum variance portfolio? Assume that she will invest only in A and B. Elsi is wondering if beta is a more appropriate risk measure for the shares. Explain when beta is a more appropriate measure of risk than standard deviation. c)

Elsi is a risk-averse investor. She has invested 60% of her investment in share A and all the remainder in share B. Below are projections for the shares as well as the market. A B Market Expected return (%) Standard deviation (%) 10 30 20 40 70 30 Correlations A 1 B 0.2 1 Market 0.3 0.68 1 Required: a) What are the expected return and standard deviation of returns on the portfolio? b) The correlation between A and B is expected to be -1, what proportion should Elsi invest in A in order to form a minimum variance portfolio? Assume that she will invest only in A and B. Elsi is wondering if beta is a more appropriate risk measure for the shares. Explain when beta is a more appropriate measure of risk than standard deviation. c)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Q3)Unique vs. Market Risk. The figure below shows plots of monthly rates of return on three stocks versus the stock market index. The beta and standard deviation of each stock is given besides its plot. Which stock is riskiest to a diversified investor? Which stock is riskiest to an undiversified investor who puts all her funds in one of these stocks? Consider a portfolio with equal investments in each stock. What would this portfolio’s beta have been? Consider a well-diversified portfolio made up of stocks with the same beta as Exxon. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20 percent. What is the expected rate of return on each stock? Use the capital asset pricing model with a market risk premium of 8 percent. The risk-free rate of interest is 4 percent.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.70 1.30 0.85 1.00 Portfolio X Y Z Market Risk-free Rp 11.5% 10.5 7.2 10.9 4.6 R-squared op 38.00% 33.00 23.00 28.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. 1.Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. 2. Determine the expected return and the s.d. of portfolio P1, composed by investing 30% in stock A and 70% in stock B. 3. Consider stock C that has expected return 15% and s.d. 15%. Stock C is uncorrelated with either stock A and stock B. Determine the expected return and s.d. of portfolio P2 made by investing 50% in stock C and 50% in portfolio P1.
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
An investor wishes to add new stocks to her portfolio. She has information about twoassets, Stock A and Stock B. Stock A has a beta of 1.25 and an expected return of 20%.Stock B has a beta of 0.9 and expected return of 15%. The risk-free rate is 4.5% and themarket risk premium is 15%.Which of these stocks, if any, would you advise the investor to purchase?
A person is interested in constructing a portfolio. Two stocks are being considered. Letx = percent return for an investment in stock 1, and y = percent return for an investment instock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. Thecovariance between the returns is sxy = −3.a. what is the standard deviation for an investment in stock 1 and for an investment instock 2? Using the standard deviation as a measure of risk, which of these stocks isthe riskier investment?
Sharon Smith, the financial manager for Barnett Corporation, wishes to select one of three prospective investments: X, Y, and Z. Assume that the measure of risk Sharon cares about is an asset's standard deviation. The expected returns and standard deviations of the investments are as follows: Investment Expected return Standard deviation X 17% 7% Y 17% 8% Z 17% 9% a. If Sharon were risk neutral, which investment would she select? Explain why. b. If she were risk averse, which investment would she select? Why? c. If she were risk seeking, which investments would she select? Why? d. Suppose a fourth investment, W, is available. It offers an expected return of 18%,and it has a standard deviation of 9%. If Sharon is risk averse, can you say which investment she will choose? Why or why not? Are there any investments that you are certain she will not choose?
Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 46%. The T-bill rate is 5%. A client prefers to invest in your portfolio a proportion (y) that maximizes the expected return on the overall portfolio subject to the constraint that the overall portfolio's standard deviation will not exceed 35% a. What is the investment proportion, y? (Do not round intermediate calculations. Enter your answer as a percentage rounded to two decimal places.) Investment proportion y b. What is the expected ra intermediate calculations. Enter your answer as a percentage rounded to two decimal places.) of return on your client's overall portfolio? (Do not roun Rate of return
You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required: d) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio? A B Expected return 12.5% 18.5% Standard Deviation of return 15% 20% Correlation of coefficient (p) 0.4
Your employer has asked you to investigate the firm’s portfolio risk and return. The portfolio comprises three stocks. It is invested 50 percent in stock A, 30 percent in stock B and 20 percent in stock C. You gathered the following information: a) Determine what is the portfolio’s expected return b) Determine the portfolio’s variance and standard deviation c) Assume that the expected risk-free rate is 2.75 percent. Determine the expected risk premium on the portfolio.
Give typing answer with explanation and conclusion The return on the Tarheel Corporation stock is expected to be 14 percent with a standard deviation of 9 percent. The beta of Tarheel is 0.9. The risk-free rate is 6 percent, and the expected return on the market portfolio is 16 percent. What is the probability that an investor in Tarheel will earn a rate of return less than the required rate of return? Assume that returns are normally distributed. Use Table V to answer the question. Round z value in intermediate calculation to two decimal places. Round your answer to the nearest whole number.

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