Question: 1.Currently, the risk-free return is 8%, and the data on the market portfolio M and A assets are as follows. Market expected return: 16% Expected
1.Currently, the risk-free return is 8%, and the data on the market portfolio M and A assets are as follows.
Market expected return: 16%
Expected return on A: 24%
Market volatility: 12%
Volatility of A: 24%
Correlation coefficient between A and M: 1
What is the magnitude of the unsystematic risk among the risks of A?
Hint:
1) The magnitude of the risk is calculated as the standard deviation of Ri.
2) Ri is exposed to the market premium as much as beta, which determines some sizes (beta * market risk premium) and the rest (Ri-beta * market risk premium) based on non-systematic risk.
3) If you find the variability of the non-systematic part of the two parts, that would be the unsystematic risk.
* var(aX) = (a^2) VarX
* Systematic and non-systematic risks are independent of each other.
Mark the risk in % and up to the second decimal place.
2.The following A and B risk assets exist in the market (assume no other risk assets exist):
There is a risk-free asset, and the return on that asset is 5%.
| Stock | market value | E(R) | breakup | A,B Covariance |
| A | 110million won | 37% | 0.25 | 0.018 |
| B | 90million won | 23% | 0.16 | 0.018 |
What if we get the expected return on the market portfolio?
Mark up to the first decimal place in % units.
3.The following A and B risk assets exist in the market (assume no other risk assets exist):
There is a risk-free asset, and the return on that asset is 5%.
The following A and B risk assets exist in the market (assume no other risk assets exist):
There is a risk-free asset, and the return on that asset is 5%.
| Stock | market value | E(R) | breakup | A,B Covariance |
| A | 110million won | 37% | 0.25 | 0.018 |
| B | 90million won | 23% | 0.16 | 0.018 |
Suppose that the expected return on an efficient portfolio of risk-free assets + risk asset portfolios is 37%. What if we get the standard deviation?
Mark up to the first decimal place in % units.
Please write down the steps for each topic. Thank you very much.
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