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There are two risky assets, asset 1 and asset 2 on the market, with the following statistics. E(1) = 0.1, 1 = 0.1, E(2)=0.15, 2

There are two risky assets, asset 1 and asset 2 on the market, with the following statistics. E(1) = 0.1, 1 = 0.1, E(2)=0.15, 2 = 0.2, 12 = -0.2. The return on T-bill is 0.05.

  1. What is the highest Sharpe ratio on the market if these two assets are the only risky assets traded on the market? What is the corresponding CAL?

  2. If an investor wants to achieve an expected return of 10%, what is the optimal portfolio composition, i.e., what are the weights of his portfolio in asset 1, asset 2, and Tbill? What is the portfolio standard deviation?

  3. If an investor wants to maximize his return but takes on a risk of no more than 5%, what is the optimal portfolio composition, i.e., what are the weights of his portfolio in asset 1, asset 2, and Tbill? What is the portfolio expected return?

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