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In a hypothetical world of a risk-free asset Rf and three risky assets A, B, and C. Suppose the CAPM holds. Answer the required questions
In a hypothetical world of a risk-free asset Rf and three risky assets A, B, and C. Suppose the CAPM holds. Answer the required questions with the information about A, B, C, and the market portfolio (M) constructed using them provided in the table below.
| Asset A | Asset B | Asset C |
Expected return | 10% | 14% | 11% |
Standard deviation | 15% | 20% | 16% |
Assets Weights of the Market Portfolio (M) | 25.34% | 37.29% | 37.37% |
Correlation matrix | Asset A | Asset B | Asset C |
Asset A | 1 |
|
|
Asset B | 0.4 | 1 |
|
Asset C | 0.2 | 0.3 | 1 |
Required:
- Calculate the expected return and standard deviation of the market portfolio (M).
- Calculate the covariances of Asset A, B, C, with the market portfolio (M), respectively. That is, COV(A, M) and COV(B, M).
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