Based on the following information for Stock A and Stock B, which stock would you add to a market index portfolio that is well diversified? Assume the risk- free rate is 5% and the market risk premium is 10%. Stocks E(r) Standard Deviation Beta 15% 1.5 12% 0.6 A B 20% 25% O a. Stock B b. Both Stock A and Stock B c. Stock A d. Neither Stock A or Stock B.
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- 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% a. compute the expected returns of stock A and B. b. compute the total risk and relative risk of stock A and B. Which stock is risky? c. 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. Attach hand-written/excel solution here.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.Following is information for two stocks: Investment r σ Stock X 8% 10% Stock Y 24% 36% Which stock has the greater relative risk? (show the computation of the relative risk for X & Y.)
- 2. (a) You have a two-asset portfolio that comprises Stock PY and Stock NY with the following information: Proportion of Stock PY in the portfolio Proportion of Stock NY in the portfolio Standard deviation of Stock PY's returns Standard deviation of Stock NY's returns 48% 52% 3% 5% Calculate the standard deviation if the correlation coefficient of returns between both stocks is 0.15.a) Share X and Share Y have the following returns with their respective probabilities. Share X Share Y Return Probability Return Probability 10% 0.3 15% 0.35% 0.31% 0.4-4% 0.4-10% 0.3 Calculate the following: i) The expected rate of returns for both shares. ii) The standard deviation for both shares. ii) On a stand-alone basis, select which stock is the riskier..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% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
- Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?1. Consider the three stocks in the following table. P, represents price at time t, and Q, represents shares outstanding at time t. Calculate the rates of return on the following indexes of the three stocks: A B с Po 90 50 100 a. A market-value-weighted index. b. An equally weighted index. Qo 100 200 200 P₁ 95 45 110 Q₁ 100 200 200b) The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) B. B. A. A (A) (В) (C)
- Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po A 50 B 45 с 90 120 20 P1 a. Rate of return b. Rate of return 21 60 60 60 120 35 120 95 120 02 60 60 35 120 50 240 P2 Required: Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. % %Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po P1 21 75 65 75 75 75 55 150 50 150 50 150 110 150 115 150 60 300 A B с с 20 75 P2 a. Rate of return b. Rate of return Required: Calculate the first-period rates of return on the following indexes of the three stocks (t=0 to t= 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. 22 % %2. Answer all parts of this question. (a) Consider the returns of two shares, A and B, under three possible scenarios: Scenario I II III Stock A -50% 6% 15% Stock B 19% -1% 28% Probability 8% 23% 69% Compute i. the expected returns of the stocks A and B; ii. the standard deviation of the returns of the stocks A and B;