LO 1 7. Calculating Returns and Standard Deviations Based on the following information, calculate the expected returns and standard deviations for the two stocks. State of Rate of Return if State Occurs Probability of State of Economy Economy Stock A Stock B Recession .10 .02 -.30 Normal .50 .10 .18 Boom .40 .15 .31
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- You are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities? State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Normal .75 .13 .16 Recession .25 −.05 −.21Consider an event study of the following stock. Realised return Market return t = 0 (event day) 0.1 0.1 t =1 0.06 0.04 t = 2 0.03 0.02 t = 3 0.015 0.01 Suppose that the estimated market model is . What is the CAR (cumulative abnormal returns) for t = 3?You are given the following information: State ofEconomy Return onStock A Return onStock B Bear .112 −.055 Normal .105 .158 Bull .083 .243 Assume each state of the economy is equally likely to happen. a. Calculate the expected return of each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation of each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What is the covariance between the returns of the two stocks? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (A negative answer should be indicated by a minus sign, Do not round intermediate calculations and round your answer to 4…
- b. Assuming the capital asset than Stock B's beta by .30, what is the expected market risk 30. Systematic versus Unsystematic Risk Consider the following information LO 3 on Stocks I and II: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock I Stock II Recession -.22 .04 .25 Normal .15 .60 .22 Irrational exuberance .15 .16 .45 The market risk premium is 7 percent, and the risk-free rate is 4 percent. Which stock has more systematic risk? Which one has more unsystematic risk? Which stock is "riskier"? Explain.Q6-Suppose that the rate of return on investment- free has risk %8 and the expected return rate for the market %14. If the particular stock his given B = 0.60 - What is the expected return rate based on CAPM? -How much the Beta of another stock that has required return 0.20 ?Problem 8.06 (Expected Returns) Stock A and Bs have the following profitability distributions of expected future returns's Profitability 0.1 0.1 0.5 0.2 0.1 A (890) 니 16 18 31 B (20%) 0 20 27 37 a) Calculate the expected rate of return, FB, for stock B3 (FA= 14,30%) b) Calculate the standard denation of expected returns, OA, for stock A (OB = 15.18% 2 Now calculate the coefficient of variation for stock B. C) Assume the risk-rate is 1.5% What are the Sharpe rutius for Stacks A and B? Stock A. Stock Bi
- 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 return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob 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 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the 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 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Stock Rit Rmt ai Beta C 12 10 0 0.8 E 10 8 0 1.1 Rit = return for stock i during period t Rmt = return for the aggregate market during period t What is the abnormal rate of return for Stock C during period t using only the aggregate market return (ignore differential systematic risk)?K (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)
- Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.13:19 M O - Fnan301FinalExamFall2...ba1995f96f6315dff9f7 5 ii) Capital gains yield iii) Total rate of return (yield) 4. Based on the following information Calculate State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.20 0.05 -0.17 Normal 0.55 0.08 0.12 Вoom 0.25 0.13 0.29 a) The expected return of Stock A (7.5 points) b) The expected return of Stock B (7.5 points) c) The expected return of Portfolio where you invest $35,000 in Stock A and $45,000 in Stock B (5 points) d) Suppose Stock A has a beta of 0.8 and Stock B has a beta of 1.3. If you invest $35,000 in Stock A and $45,000 in Stock B, what is the beta of this portfolio? (5 points) e) Expected return on the market (RM) is 10% and the risk-free (rr) is 4%. What must the the expected return on the portfolio according to CAPM? (Use the beta you have calculated in section d) for CAPM) (5 points) ||Consider the following information: Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .20 .010 −.35 Normal .55 .090 .25 Boom .25 .240 .48 Calculate the expected return for the two stocks. Calculate the standard deviation for the two stocks.