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A: Here,
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
Stock X has an exoected return of 20 percent, a beta coefficient of 1.5. Stock Y has an expected return of 25 percent and a beta coeffiecient of 1.9. the risk-free rate is 2 percent and the required return on the overall market is 12%. on the basis of the two stocks' expected and required returns, which stock(s) would be attractive to a diversified investor?
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- 1. Stock Y has a beta of 1.2 and an expected return of 11.1 percent. Stock Z has a beta of .8 and an expected return of 7.85 percent. If the risk-free rate is 2.4 percent and the market risk premium is 7.2 percent, the reward-to-risk ratios for stocks Y and Z are ____ and ____ percent, respectively. Since the SML reward-to-risk is ____ percent, Stock Y is ____(undervalued/ overvalued) and Stock Z is ____(undervalued/ overvalued).Stock A has an expected return of 13.52 percent. Stock B has an expected return of 9.24 percent. Assuming the Capital Asset Pricing Model holds, and Stock A's beta is greater than Stock B's beta by 0.32, what is the expected market risk premium (in percent)? Answer to two decimalsSuppose 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.
- 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.Assume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT? 1. b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%. 2. d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%. 3. e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%. 4. a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%. 5.…You are facing three stock investment alternatives, Stock A, Stock B and Stock C. Given the following information, please indicate which stock is (are) overvalued, which stock is (are) undervalued, and which stock is (are) correctly priced based on the required returns calculation using the Capital Asset Pricing Model (CAPM or Security Market Line=SML). The risk free rate is 3% and the risk premium for the market index return is 5%. Please Show Work Expected Stocks Returns BETA A 14% 1.2 B 8% 0.67 C 20% 2.5
- (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates of return of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.RISK AND RETURN: Stock A and Stock B have the following distribution of rates of return:State of the economy Probability Stock A returns Stock B returnsRecession 0.10 -20% 30%Normal 0.60 10 20Boom 0.30 70 50a. What are the expected returns and standard deviations of these two shares?b. As an investment analyst with Gold Coast Securities Ltd, which of these stocks wouldyou recommend to a risk avoider investor?Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
- On the basis of the two stocks' expected and required returns, which stock would be more attractive to a diversified investor? _______________ Calculate the required return of a portfolio that has $6,000 invested in Stock X and $5,000 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places. rp = __________% If the market risk premium increased to 6%, which of the two stocks would have the larger increase in its required return?(c) Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, and aggressive stock A, and a defensive stock D. A. Find the beta of each stock B. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. C. If the T-bill rate is 4%, what does the CAPM say about the fair expected rate of return on the two stocks? D. Which stock seems to be a better buy on the basis of your answers to (a) through (c).