
Explanation:
The market risk premium is a function of the average investor’s risk aversion coefficient and the variance of market returns:
Where represents the average investor’s risk aversion based on the CAPM theory.
Calculation:
0.07` = \bar{y} (0.18)^2 \ \frac{0.07}{0.0324} = \bar{y} \ \bar{y} = 2.16
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Q.4554 John Mathews, a portfolio risk manager at TM Partners, is evaluating the investment policy statement (IPS) of his clients. Due to structural shifts in the prevailing market variables, Mathews wants to re-assess the average investor’s risk aversion based on the CAPM theory. Mathews’ estimates are shown below:
| Variable | Forecast |
|---|---|
| Risk-free rate | 3% |
| Market risk premium | 7% |
| Standard deviation of market returns | 18% |
Calculate the average investor’s risk aversion coefficient.
A
2.16
B
0.39
C
0.22
D
1.23