Question

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Consider a market model with three assets: two risky assets (#1 and #2) and one risk-free asset (#3). The risk-free rate of interest is r = 3%. The parameters of the risky returns are as follows: 02 = 15%, Mi = 6%, H2 = 9%, 01 = 10%, P12 = -10%. 1. Let u(x) and g(x) with xe (-0,00) denote, respectively, the expected return and volatility of my portfolio if I allocate 100x% of my wealth to the first risky asset and the remainder to the second risky asset. Write down the explicit and simplified formulas for u(x) and o2(x) in boxes 1 and 2, respectively, in the format b*x+cor a*x^2+b*x+c, where a, b, and care decimal numbers, without spaces. 2. If the expected return on my portfolio with two assets #1 and #2 is 8%, what is its risk? Answer in box 3 (as a percent with two decimals). 3. Find the allocation weight w1 (for asset #1) and the risk of the minimum variance portfolio. Answer in boxes 4 and 5 (as percents with two decimals). 4. If I allocate 40% of my capital in the minimum variance portfolio with two risky assets and 60% in the risk-free asset, what is the risk of my portfolio? Answer in box 6 (as a percent with two decimals). Note: Do NOT enter the percent sign %. Ą AJ AL

Answer 1

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