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 E B C $202,000 303,000 505,000 Beta 1.59 0.59 1.16 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 15 percent and that the risk-free rate is 7 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%.)
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- 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 Beta of the portfolio Expected rate of return 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 beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) %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 % SUPPYou 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 %
- 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 $222,000 1.41 B 333,000 0.53 C 555,000 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 12 percent and that the risk-free rate is 7 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 enter the beta rounded to 3 decimal places Expected rate of return enter percentages rounded to 2 decimal places %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 ? %USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Investment Beta Analyst's Estimated Return Stock X 2.3 15.5% Stock Y 1.2 13.6% Market Portfolio 1.0 11.5% Risk-free rate 4.0% What is the required rate of return for Stock X based on the capital asset pricing model (CAPM)?
- 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.You want to create a portfolio equally as risky as the market, and you have $5M to invest. Given the information below, what is your investment in the risk-free asset? Asset Stock A Stock B Stock C Risk-free Asset $0.8M $0.7M $0.9M $1.1M Investment $1M $2M Beta 0.7 1.25 1.5Consider a portfolio consisting of the below securities with the below characteristics: Security Amount Invested($) 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.
- QUESTIONS: 1) Assuming that the risk-free rate of return is currently 3,2%, the market risk premium is 6% whereas the beta of HelloFresh SH. stock is 1.8, compute the required rate of return using CAPM. 2) Compute the value of each investment based on your required rate of return and interpret the results comparing with the market values. 3) Which investment would you select? Explain why using appropriate financial jargon (language). 4) Assume HelloFresh SH's CFO Mr. Christian Gaertner expects an earnings upturn resulting increase in growth (rate) of 1%. How does this affect your answers to Question 2 and 3? 5) AACSB Critical Thinking Questions: A) Companies pay rating agencies such as Moody's and S&P to rate their bonds, and the costs can be substantial. However, companies are not required to have their bonds rated in the first place; doing so is strictly voluntary. Why do you think they do it? (Textbook page: 198) B) What are the difficulties in using the PE ratio to value stock?…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…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?