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Assume an investor has mean-variance utility preferences U = E(R) - 0.5A02 with coefficient of risk aversion A = 5. The marke

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Answer #1

Weight of risky asset in a complete optimal portfolio can be calculated using following formula:

y = ((E(rp) - rf)/(A*SD(p)^2)

So weight of risk free asset in such a portfolio = 1-y

Given to us,

E(rp) = 5%

SD(p) = 10%

rf = 2%

A = 5

So, y = (0.05 - 0.02)/(5*0.1^2) = 0.6 or 60%

So, weight of risk-free asset Wf = 1-0.6 = 0.4 or 40%

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