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- Given the following probability distributions, what are the expected returns for the Market and for Security J? Statei Pr i rM rJ 1 0.3 −10% 40% 2 0.4 10 −20 3 0.3 30 30 Group of answer choices 10.0%; 11.3% 9.5%; 13.0% 10.0%; 9.5% 10.0%; 13.0% 13.0%; 10.0%What is the Variance of returns for Security XYZ? (no rounding off until the final answer, final answer at 5 decimal places “X.XXXXX”) the following probability distribution for security XYZ is determined: OUTCOME PROBABILITY EXPECTED RETURN A 20% 20% B 80% 25%Based on the following probability distribution, what is the security’s expected return? State Probability r 1 0.2 –5.0% 2 0.4 10.0 3 0.4 30.0
- TOTAL VS. SYSTEMATIC RISK • Consider the following information: Standard Deviation BetaSecurity C 20% 1.25Security K 30% 0.95 • Which security has more total risk?• Which security has more systematic risk?• Which security should have the higherexpected return?EXAMPLE• Consider the following information:State Probability ABC, Inc. ReturnBoom .25 0.15Normal .50 0.08Slowdown .15 0.04Recession .10 -0.03• What is the expected return?• What is the variance?• What is the standard deviation?Based on the following table, compute the reward-to-risk ratio for security Pearl if the risk-free rate is 5%. Security Beta Expected Return (%) Pearl 0.9 17 Emerald 1.2 20
- Given the following probability distributions, what are the expected returns for the Market and for Security J? Statei Pr i rM rJ 1 0.3 −10% 40% 2 0.4 10 −20 3 0.3 30 30Security A has the following probability distribution of returns:Scenario Probability Return 1 0.1 15% 2 0.8 25% 3 0.1 35%What is the variance for Security A?Security A has an expected return of 7%, a standard deviation of returns of 35%, a correlation coefficient with the market of −0.3, and a beta coefficient of −1.5. Security B has an expected return of 12%, a standard deviation of returns of 10%, a correlation with the market of 0.7, and a beta coefficient of 1.0. Which security is riskier? Why?
- 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 A. Calculate the expected return (mean) for each security.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. Calculate the standard deviation for each security.Security A has an expected rate of return of 22% and a beta of 2.5. Security B has a beta of 1.2. If the risk-free rate is 10%, what is the expected rate of return of security B?