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An investor has mean-variance utility preferences: U = E(R) – 0.5A02 coefficient of risk aversion A = 5. market expected retu

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Answer #1

The Weight of the market (risky asset) in the Optimal portfolio is given by

W = (E(r) -Rf)/(A*variance)

Where E(r) is the expected return of the market

Rf is the risk free rate and variance is the square of the standard deviation of the market returns

so, W = (0.05 -0.02) / (5* 0.1^2)

=0.03/0.05 = 0.6

So, weight of the risk free asset  = 1-W = 0.4

So the weight of the risk free asset Wf = 0.4 or 40% in the Optimal portfolio  

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