A) What expected return should an investor expect from investments in common stock? You are given the following information: Risk free rate of return = 4%; market risk premium = 11%; Beta of the stock (assume CAPM holds) = 0.72.
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A) What expected return should an investor expect from investments in common stock? You are given the following information: Risk free
B) Stock A with beta of 0.8 offers a 11% return while stock B with a beta of 1.2 offers a 15% return. What is the risk-free rate? What is the common market return? Assume CAPM holds.
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- How do you find the market risk premium and market expected return given the expected return of stock, beta, and risk free rate? Example: The expected return of a stock with a beta of 1.2 is 16.2%. Calculate the market risk premium and the market expected return, given a risk-free rate of 3%.Under which of the following circumstances would you want to buy a stock? Select one: a. The HPR is greater than zero. b. A stock's holding period return is greater than the CAPM return c. A stock's CAPM return is greater than its holding period return d. The stock's price is higher than its valueThe security market line (SML) is an equation that shows the relationship between risk as measured by beta and the required rates of return on individual securities. The SML equation is given below: Required return on Stock = Risk-free return + (Market risk premium) (Stock's beta) If a stock's expected return plots on or above the SML, then the stock's return is sufficient ✓to compensate the investor for risk. If a stock's expected return plots below the SML, the stock's return is insufficient to compensate the investor for risk. The SML line can change due to expected inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in the composition of its assets and through changes in the…
- Assume that the risk-free rate is 3.5% andthe market risk premium is 4%. What is the required return for the overall stock market?What is the required rate of return on a stock with a beta of 0.8?What should be the risk premium and return on a stock with a Beta of zerounder the Capital Asset Pricing Model (CAPM)? What about the risk premiumand return on a stock with a Beta of 1?Assume a stock has a required return on equity, ?? = 12%. The risk-free rate is ?? = 5% and themarket return is ?? = 10%. Given this information, what is the beta of the stock?
- Stock M has a relevant risk equals 1.75, and unsystematic risk equals 2. If the real risk-free rate of interest equals 3 percent, inflation premium equals 2 percent, expected market return equals 11 percent, and the required rate of return on a portfolio consisting of all stocks, which is the market portfolio equals 11 percent, what is Stock M's required rate of return? Interpret your answer.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.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.
- 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.…Assume you have invested in two other stocks: Stock A has a beta of 1.20 and Stock B has a beta of 0.8. Rf= 2% and Rm = 12%. (i) Using CAPM, what are the expected returns for each stock? Return of stock = Risk free rate + beta ( market rate of return - risk free rate of return) Return of Stock A = 2% + 1.20 (12% - 2%) = 2.12% Return of Stock B = 2% + 0.80 (12% - 2%) = 2.08% (ii) What is the expected return of an equally weighted portfolio of these two stocks? Weight of stock A = 0.50 Weight of Stock B = 0.50 Expected return = (Return of Stock A * weight of Stock A) + (Return of Stock B * weight of stock B) = (2.12 * 0.50) + (2.08*0.50) = 1.06 + 1.04 = 3% (iii) What is the beta of an equally weighted portfolio of these two stocks? Beta of portfolio = (Beta of Stock A * weight of stock A) + (Beta of Stock B * weight of Stock B) = (1.20*0.50) + (0.80*0.50) = 0.60 + 0.40 = 1 Beta of portfolio = 1 (iv) Sketchthe SML to…Consider the following stocks with equal probabilities of return: Outcome | Return (Stock A) | Return (Stock B) 1 -5% 2% 2 10% 12% 3 18% 15% Compute the expected returns of stock A and B. Compute the total risk and relative risk of stock A and B. Which stock is risky? Ignoring the probabilities, what is the total risk and relative risk of stock A and B? Which stock is risky? Round-off final answers only to two decimal places.