Question
Assume that the following market model adequately describes the return generating behavior of risky assets: Rit=i+iRMt+itRit=i+iRMt+it Here: R it = The return on the i
Assume that the following market model adequately describes the return generating behavior of risky assets: |
Rit=i+iRMt+itRit=i+iRMt+it |
Here: |
Rit = The return on the ith asset at Time t. |
RMt = The return on a portfolio containing all risky assets in some proportion at Time t. |
RMt and itit are statistically independent. |
Short selling (i.e., negative positions) is allowed in the market. You are given the following information: |
Asset | i | E(Ri ) | Var(i) | |
A | .65 | 7.91 | % | .0200 |
B | 1.15 | 11.56 | .0145 | |
C | 1.51 | 13.25 | .0226 | |
The variance of the market is .0122, and there are no transaction costs. |
a. | Calculate the standard deviation of returns for each asset. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) |
Asset | Standard deviation |
A | % |
B | % |
C | % |
b. | Calculate the variance of return of three portfolios containing an infinite number of asset types A, B, or C, respectively. (Do not round intermediate calculations and round your answers to 6 decimal places, e.g., 32.161616.) |
Asset | Variance of return |
A | |
B | |
C | |
c-1. | Assume the risk-free rate is 3 percent and the expected return on the market is 9 percent. What is the expected return of each asset? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) |
Asset | Expected returns |
A | % |
B | % |
C | % |
c- 2. | Which asset will not be held by rational investors? | ||||||
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