An investor has $70,000 invested in a stock that has an estimated beta and another $30,000 invested in the stock of the company for which she works The risk-free rate is 3.2% and the market risk premium is 6.8%. The investor calculates that the required return on her portfolio is 11.5%. What is the beta of the company for which she works?

An investor has $70,000 invested in a stock that has an estimated beta and another $30,000 invested in the stock of the company for which she works The risk-free rate is 3.2% and the market risk premium is 6.8%. The investor calculates that the required return on her portfolio is 11.5%. What is the beta of the company for which she works?

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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She has $71,000 invested in stock A with a beta of 1.30 and another $56,000 invested in stock B with a beta of .60. If these are the only two investments in her portfolio, what is her portfolio’s beta?
Michael, an analyst at Kitsch Partners (KP), models the stock of the company. Suppose that the risk-free rate rRFrRF = 6.5%, the required market return rMrM = 12.5%, the risk premium for small stocks rSMBrSMB = 3.2%, and the risk premium for value stocks rHMLrHML = 4.8%. Suppose also that Michael ran the regression for Kitsch Partners’s stock and estimated the following regression coefficients: aKPaKP = 0.00, bKPbKP = 0.9, cKPcKP = 0.2, and dKPdKP = 0.3. If Michael uses a Fama-French three-factor model, then which of the following values correctly reflects the stock’s required return? 3.18% 17.94% 7.48% 13.98%
Rachel is a financial investor who actively buys and sells in the securities market. Now she has a portfolio of all blue chips, including: $13,500 of Share A, $7,600 of Share B, $14,700 of Share C, and $5,500 of Share D. (a) Compute the weights of the assets in Rachel’s portfolio?(b) Find the geometric average return (c)Find the risk free rate of return (d)Find the expected rate of return of the portfolio
Tasman Co. has a beta of 0.9, and an expected return of 15%. Macquarie Co. has a beta of 1.2 and an expected return of 16%. Lucy plans to invest in both stocks. If risk-free rate is 2.5%, and Lucy are spreading her money equally on both stocks, what is the expected return on Lucy’s portfolio? If a portfolio of the two assets has a beta of 0.95, what are the portfolio weights? If Lucy includes one more risk-free asset into her existing portfolio in part (b), and this new portfolio has a beta of 1.3. what are the portfolio weights? How do we interpret the weight for the risk-free asset?
Stan is expanding his business and will sell common stock for the needed funds. If the current risk-free rate is 2.9% and the expected market return is 12.5%, what is the cost of equity for Stan if the beta of the stock is a.0.72, b.0.86,
Jamie has wealth of $10,000 to invest. The market portfolio consists of three stocks with 20% being Stock A, 40% being Stock B and the remainder Stock C. The expected return on this market portfolio is 14%. The risk free rate is 5%. The CAPM holds. Suppose Jamie's optimal portfolio has an expected return of 23%, what are the dollar values of her investments in A, B. C and the risk free asset?
You have $37,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 14.7 percent and Stock Y with an expected return of 7.1 percent. Your goal is to create a portfolio with an expected return of 13 percent. All money must be invested. How much will you invest in Stock X? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Consider stocks of Firms A and B. Their expected returns are 12% and 11%, respectively, and the volatilities of their returns are 8% and 10%, respectively. Firm A has a market beta of 1.5 and Firm B has a market beta of 1.0, and the correlation between the two stocks is 0.5. Your risk-averse client wants to invest $5 million with an expected return of 15%. You can put together a portfolio with the market index, Firm A, Firm B, and a risk-free asset. Which of these four securities would you include in the portfolio and how much would you invest in each security?
Rebecca invested $9,000 in a stock that has an expected return equal to 18 percent and $21,000 in a stock with an 8 percent expected return. What is the portfolio’s expected return?
An investor has a stock investment with a beta of 1.25. He was expecting to have the return on his stock at 18% when the market risk premium was 8%. If the revised market risk premium is 10%, what will be the new expected return on investment?
Sally has investments with the following characteristics in her portfolio: Investment in Beta Amount invested Stock Q 1.5 $80,000 Stock R 2.0 $50,000 Stock S 0.85 $70,000 Given the risk free rate of 2% and the market return of 7%, what is the expected rate of return of Sally’s investment portfolio?
-Show the formula step by step-The colleague has given you his forecasts of stocks W and E as follows: State Probability Expected rate ofReturns on Stock W Expected rate ofReturns on Stock E Boom 0.7 0.40 -0.10 Bust 0.3 -0.05 0.30 She would like to invest 80% of his money in stock W and 20% of her money in stock E to construct a portfolio.(B) Calculate the portfolio's expected rate of returns and its standard deviation

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