Question

In: Finance

You have the following information on 2 risky securities: a and b. Assume that the Risk-Free...

You have the following information on 2 risky securities: a and b.

Assume that the Risk-Free rate of interest is 2.0% per year. Please show all work.

Scenario Probability Return for Security a Return for Security b
Excellent 25.00% -10.00% 10.00%
Good 25.00% 5.00% 40.00%
Average 25.00% 15.00% -24.00%
Bad 25.00% 25.00% 18.00%

a) Find the Expected Return for the Minimum Variance Portfolio (M*) and The Standard Deviation of the Minimum Variance Portfolio (M*).

b) Find the Weight of Security i in the Optimal Portfolio (P*) and The Weight of Security j in the Optimal Portfolio (P*).

c) Find the Expected Return of the Optimal Portfolio (P*) and The Standard Deviation of the Optimal Portfolio (P*).

d) The Sharpe Ratio of Optimal Portfolio (P*) or the Highest Sharpe Ratio

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