Question
1. Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.2 (12%) (32%) 0.2 3 0 0.3 16
1.
Stocks A and B have the following probability distributions of expected future returns:
Probability | A | B |
0.2 | (12%) | (32%) |
0.2 | 3 | 0 |
0.3 | 16 | 21 |
0.2 | 23 | 25 |
0.1 | 39 | 49 |
Calculate the expected rate of return, rB, for Stock B (rA = 11.50%.) Do not round intermediate calculations. Round your answer to two decimal places. %
Calculate the standard deviation of expected returns, A, for Stock A (B = 24.62%.) Do not round intermediate calculations. Round your answer to two decimal places. %
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?
-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.
-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.
-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.
-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.
-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.
2.
PORTFOLIO REQUIRED RETURN
Suppose you are the money manager of a $4.49 million investment fund. The fund consists of four stocks with the following investments and betas:
Stock | Investment | Beta |
A | $ 320,000 | 1.50 |
B | 460,000 | (0.50) |
C | 1,060,000 | 1.25 |
D | 2,650,000 | 0.75 |
If the market's required rate of return is 10% and the risk-free rate is 4%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places.
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