To determine: The expected return as per the
Introduction:
Capital asset pricing model (CAPM) describes the relationship between the projected return for assets and systematic risk on the stocks. It is utilized to compute the required
Expected return refers to a return that the investors expect on a risky investment in the future.
Beta is an important indicator of the risk of a security. It measures the systematic risk of a risky investment by comparing the risky investment with the average risky asset in the market.
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Chapter 11 Solutions
Corporate Finance Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
- 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?arrow_forwardUse the expected return-beta equation from the CAPM. What is the expected return for a stock if the risk-free rate is 4%, beta 0.9 and the expected return for the market portfolio is 6%?arrow_forwardSuppose the risk-free return is 2% and the market portfolio has an expected return of 12% and a volatility of 16%. Merck & Co. (Ticker: MRK) stock has a 25% volatility and a correlation with the market of 0.8. What is Merck’s beta with respect to the market? Under the CAPM assumptions, what is its expected return?arrow_forward
- Suppose the market risk premium is 9 % and also that the standard deviation of returns on the market portfolio is 0.26 . Further assume that the correlation between the returns on ABX (Barrick Gold) stock and returns on the market portfolio is 0.62 , while the standard deviation of returns on ABX stock is 0.36 . Finally assume that the risk-free rate is 2 %. Under the CAPM, what is the expected return on ABX stock? (write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1.234)arrow_forwardBased on the CAPM model, what should be the expected return for a stock with a beta of 2.1 when the risk-free rate is 2.5% and the market risk premium is 8.5%?arrow_forwardSuppose the market portfolio has an expected return of 9% and a volatility of 18.5%. YMH stock return has a 22% volatility and a correlation with the market return of 0.74. If the risk-free rate is 1% and the CAPM holds, what is the Sharpe ratio of the YMH stock? O 0.32 0.384 O 0.2944 O 0.3648arrow_forward
- 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.arrow_forwardStock A's stock has a beta of 1.30, and its required return is 15.75%. Stock B's beta is 0.80. If the risk-free rate is 4.75%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.)arrow_forwardSuppose the risk-free return is 3.5% and the market portfolio has an expected return of 11.9% and a volatility of 12.9% Merck & Co. (Ticker: MRK) stock has a 20.8% volatility and a correlation with the market of 0.065. a. What is Merck's beta with respect to the market? b. Under the CAPM assumptions, what is its expected return?arrow_forward
- 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.arrow_forwardSuppose that the risk-free rate r, = 0.03, the expected market return uM = 0.11, and the market volatility oM = 0.16. Stock A has beta = 1.2 and diversifiable risk o̟ = 0.08. Stock B has beta = 0.8 and 0, = 0.03. Stock C has beta = 1.5 and o̟ = 0.1. Consider a portfolio P which is 45% in Stock A, 25% in Stock B, and 30% in Stock C. (a) Find the value of beta for this portfolio. (b) Assuming CAPM, find the portfolio's expected return µp. (c) Find the standard deviation of the portfolio's systematic (or mar- ket) risk. (d) Find the standard deviation o, of the diversifiable risk of P. (You may assume that the diversifiable risks of A,B, and C are uncorrelated.)arrow_forwardUse the expected return-beta equation from the CAPM. What is the expected return for a stock if the risk-free rate is 4%, beta 0.9 and the expected return for the market portfolio is 6%? What is the risk-free rate if beta is 1.1, the expected return 6.3% and the expected return for the market portfolio is 6%? What is beta if the risk-free rate is 4%, the expected return 11% and the expected return for the market is 6%? What is the expected return for the market if the risk-free rate is 4%, beta 0.9 and the expected return 11%?arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning