You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $198,000 297,000 495,000 Beta 1.45 0.60 1.30 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 14 percent and that the risk-free rate is 8 percent. (Round beto answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) Beta of the portfolio Expected rate of return

You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $198,000 297,000 495,000 Beta 1.45 0.60 1.30 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 14 percent and that the risk-free rate is 8 percent. (Round beto answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) Beta of the portfolio Expected rate of return

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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Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its net are summarized below. Calculate the beta of the portfolio and use the capital asset pricing model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18% and that the risk-free rate is 6%. Stock A, Investment = $188,000, Beta=1.50, Stock B, Investment = $282,000, Beta =0.50, Stock C, Investment = $470,000, Beta = 1.30 Beta of the portfolio ? Expected rat of return ? %
Consider a portfolio consisting of the below securities with the below characteristics: Security Amount Invested($) Beta Expected Return A 1,5 MIL 1.0 12.0%B 1.0 MIL 1.5 13.5%C 2.0 MIL 0.8 9.0% Required:a) Calculate the portfolio’s Beta. b) Calculate the portfolio’s expected return. c) Discuss the Capital Asset Pricing Model (CAPM) explaining what it is used forand which are its limitations.
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock. Investment A B C $224,000 336,000 560,000 Beta of the portfolio Beta Expected rate of return 1.50 0.60 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 16 percent and that the risk-free rate is 8 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) 1.35 do % SUPP
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock Investment Beta A $218,000 1.50 B 327,000 0.60 C 545,000 1.18 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 17 percent and that the risk-free rate is 8 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) Beta of the portfolio Expected rate of return %
The following portfolios are being considered for investment. During the period under consideration, RFR = 0.08. Portfolio Return Beta σi P 0.14 1.00 0.05 Q 0.20 1.30 0.11 R 0.10 0.60 0.03 S 0.17 1.20 0.06 Market 0.12 1.00 0.04 Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R S Market Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R S Market
The following portfolios are being considered for investment. During the period under consideration, RFR = 0.07. Portfolio Return Beta P 0.15 1.00 0.05 Q 0.09 0.50 0.03 R. 0.21 1.30 0.10 0.18 1.20 0.06 Market 0.12 1.00 0.04 a. Compute the Sharpe measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Sharpe measure P Q R Market b. Compute the Treynor measure for each portfolio and the market portfolio. Round your answers to three decimal places. Portfolio Treynor measure P Q R Market c. Rank the portfolios using each measure, explaining the cause for any differences you find in the rankings. Portfolio Rank (Sharpe measure) Rank (Treynor measure) P |-Select- v |-Select- v Q -Select- v -Select- V R. -Select- V -Select- v -Select- v -Select- v Market -Select- v -Select- v -Select- v is poorly diversified since it has a high ranking based on the -Select- but a much lower ranking with the -Select-
Suppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.
Suppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.
Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 13.5% бр 35.00% 12.5 30.00 7.1 20.00 10.6 4.4 25.00 0 Вр 1.55 1.20 0.80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.70. 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. × Answer is complete but not entirely correct. R-squared 0.9785

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