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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 | .81 | 9.51 | % | .0600 |
B | 1.20 | 13.16 | .0161 | |
C | 1.67 | 14.85 | .0242 | |
The variance of the market is .0138, 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 | |
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