Stock X has an expected return of 10%, a beta coefficient of 0.9, and standard deviation of expected returns of 35%. Stock Y has an expected return of 12.5%, a beta of 1.2, and standard deviation 25%. The risk free rate is 8%, and the market risk premium is 6%. Calculate the required rate of return (RRR) for this portfolio, which has $35,700 invested in Stock X and $20,500 invested in Stock Y.
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- Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.Assume that expected return of the stock A in your portfolio is 14.6%. The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of thisstock using Capital Asset Pricing Model(CAPM)Stock A has an expected return of 10 percent and a beta of 1.0. Stock B has a beta of 2.0. Portfolio P is a two-stock portfolio, where part of the portfolio is invested in Stock A and the other part is invested in Stock B. Assume that the risk-free rate is 5 percent, which required returns are determined by the CAPM, and that the market is in equilibrium so that expected returns equal required returns. Portfolio P has an expected return of 12 percent. What proportion of Portfolio P consists of Stock B?
- An analyst has modeled the stock of a company using a FamaFrench three-factor model and has estimated that ai 5 0, bi 5 0.7,ci 5 1.2, and di 5 0.7. Suppose that the daily risk-free rate isapproximately equal to zero, the market return is 11%, the returnon the SMB portfolio is 3.2%, and the return on the HML portfoliois 4.8% on a particular day. The stock had an actual return of 16.9%on that day. What is the stock’s predicted return for that day?(14.9%) What is the stock’s unexplained return for the day? (2%)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 observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%.a. What are the betas of Stocks X and Y?b. What are the required rates of return on Stocks X and Y?c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?
- Currently the risk-free rate equals 5% and the expected return on the market portfolio equals 11%. An investment analyst provides you with the following information: Stock A Beta 1.33 Expected Return 12% Stock B Beta 0.7 Expected Return 10% (a) Calculate the reward-to-risk ratios of stock A, stock B and in market equilibrium. Are stock A and stock B overvalued, undervalued or fairly valued? Briefly explain. [within 150 words] (b) You want a portfolio with the same risk as the market. Calculate the weights of stock A and B respectively. (please show me steps and round the final answer to 2 decimal places, thanks)(a) The risk premium on the market portfolio is estimated at 8 % with a standard deviation of 22 %. What is the risk premium on a portfolio invested 25 % in AELZ with a beta of 1.15 and 75 % in BAT with a beta of 1.25? (b) The return on the market is expected to be 14 %, a stock has a beta of 12, and the T-bill rate is 6 %. What expected rate of return would the SML predict? (c) A company is considering a new water bottling plant. Business plan forecasts an internal rate of return of 14 % on the investment. The beta of similar projects is 1.3. the risk free rate is 4 % and the market risk premium is estimated at 8 %. What is the hurdle for the project? What does this mean for the project: should it or should it not be undertaken?The market index return is 1.3% and its standard deviation is 17%. The risk free rate is 3%. Portfolio Q generates an annual return of 14%, and has a beta of 1.35, and a standard deviation of 23%. Consider a complete portfolio that consists of the portfolio Q and the risk free asset. If we require the standard deviation of the complete portfolio to be the same as the market portfolio, what is the Sharpe ratio of the complete portfolio?
- b) You are given the following information about Stock X and the market: The annual effective risk-frec rate is 5%. The expected return and volatility for Stock X and the market are shown in the table below: Expected Return Volatility Stock X 5% 40% Market 8% 25% The correlation between the returns of stock X and the market is -0.25. Assume the Capital Asset Pricing Model holds. Calculate the required return for Stock X and determine if the investor should invest in Stock X.The expected return for a stock, calculated using the CAP M is 10.5%. The market free return is 9.5% and the beta of the stock is 1.50. Calculate the implied risk-free rate.The expected return on the Market Portfolio M is E(RM)=15%, the standard deviation is sM=25% and the risk-free rate is Rf=5%. a. Suppose that stock X has standard deviation sX=30%, and correlation with the market portfolio rXM=0.5. Compute bX and E(RX) (the beta and the expected return of stock X) according to the Market Model (ie: alpha equals zero under the Market Model). b. Suppose that stock Y has standard deviation sy=15%, and correlation with the market portfolio rYM=-0.1. Compute bY and E(RY) (the beta and the expected return of stock Y) according to the Market Model (ie: alpha equals zero under the Market Model). c. Compute the beta of a portfolio composed 65% of stock X and 35% of stock Y.