EXPECTED RETURNS Stocks A and B have the following probability distributions of
ID: 2784976 • Letter: E
Question
EXPECTED RETURNS
Stocks A and B have the following probability distributions of expected future returns:
1. Calculate the expected rate of return, rB, for Stock B (rA = 11.40%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
2. Calculate the standard deviation of expected returns, A, for Stock A (B = 20.84%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
3. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.
Is it possible that most investors might regard Stock B as being less risky than Stock A? pick one from below.
a. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
b. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense.
c. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
d. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.
f. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
EXPECTED RETURNS
Stocks A and B have the following probability distributions of expected future returns:
Probability A B 0.2 (9%) (23%) 0.2 3 0 0.3 16 20 0.2 24 25 0.1 30 451. Calculate the expected rate of return, rB, for Stock B (rA = 11.40%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
2. Calculate the standard deviation of expected returns, A, for Stock A (B = 20.84%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
3. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.
Is it possible that most investors might regard Stock B as being less risky than Stock A? pick one from below.
a. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
b. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense.
c. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
d. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.
f. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
Explanation / Answer
Expected return of A = 11.40%
Standard dev of A = 13.04%
Expected return of B = 10.90%
Standard dev of B = 20.84%
Coefficient of Variation of A = 13.04/11.4 = 1.14
coeff of Variaion of B = 1.91
f. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
p(x) return p*x p*(x - mean)^2 0.2 -9.00% -0.018 0.008323 0.2 3.00% 0.006 0.001411 0.3 16.00% 0.048 0.000635 0.2 24.00% 0.048 0.003175 0.1 30.00% 0.03 0.003460Related Questions
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