What is the investors risk aversion coefficient

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Suppose an investor’s utility function is given by U(r) = 1/3 E(r) − 1/2 A · V ar(r). Suppose there is a risk-free asset whose return is given by ¯r = 0.03. Suppose there is a single risky asset P that has an expected return of 0.08 and standard deviation of 0.3. The investor maximizes utility by investing 25 percent of his wealth in the risky asset P. What is the investor’s risk aversion coefficient?

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