onsider the following information: Probability of State of Economy Rate of Return if St Occurs Stoc State of Economy Stock A 10 .60 30 03 Recession Normal Boom 08 14 Iculate the expected return for Stock A. 9 Answer is complete but not entirely correct. pected return 8.28%
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- 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.Consider 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?Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.
- State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 1.As an investor, compare Stock E with Stock F, and identify which stock willyou select and why.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 BiGiven the following information below for Stock A, calculate its standard deviation 6. Where: wwwww pi Probability of some state į a (R-R)'xp mean il Ri = Expected return in state į Rmsa Expected return Economic State i pi Probability of some statei Ri= Expected return in statei Weighted Ri for each State .39 22% Вoom Normal 11% 60 Bust 21 3% Rmean (Sum Column for Stock A Expected Returnl Bring the answer you calculated for Rmean Expected return above and enter it in the correct column below the finish calculating the Standard Deviation. (Ri-Rmean* x pi State i (Ri-Rmean) (Ri - Bmean) pi= Ri = Rmean= 22% 39 Boom Normal 60 11% Bust 3% 21 Sum of Column = Variance) = Square Root of Variance Standard Deviation
- What are the expected returns for stocks Y and Z under the conditions shown below? A0 0.04 k1 0.07 k2 0.05 by,1 0.5 by,2 1.3 bz,1 1.2 bz,2 0.9K (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.)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…
- 3. The following information is given with respect to stock A: Scenario Probability Market return 1 0.1 -0.18 2 0.3 0.07 3 0.4 0.16 4 0.2 0.21 Knowing that the Rfis 0.07 compute alpha and the information ratio. Portfolio P return -0.32 0.00 0.22 0.40b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.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.