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Market portfolio consists only of stock A and B. Stock A has expected return of 10% and volatility of 10%. Stock B has expected return
Market portfolio consists only of stock A and B. Stock A has expected return of 10% and volatility of 10%. Stock B has expected return of 15% and volatility of 20%. Both stock returns are uncorrelated. Risk-free rate is zero. There are only two investors in the market. Each investor has investment wealth of $1. Outstanding number of shares is one share for each stock. Each investor has the following quadratic expected utility: EU; = ER Var(Rp), i = 1,2. Y1 = 10,72 = 15 1. If investor 1 demands only stock A and risk-free asset, and investor 2 demands only stock B and risk-free asset, then what are market demands for stock A and B what are the equilibrium stock prices of A and B? 2. Under the assumption of 1, is the market portfolio efficient? 3. If both investors demand both stocks and risk-free asset. What are the equilibrium stock prices of stock A and B? Is the market portfolio efficient? 4. Based on the results from 2 and 3, the market portfolio always efficient? Under what condition is the market portfolio efficient? Market portfolio consists only of stock A and B. Stock A has expected return of 10% and volatility of 10%. Stock B has expected return of 15% and volatility of 20%. Both stock returns are uncorrelated. Risk-free rate is zero. There are only two investors in the market. Each investor has investment wealth of $1. Outstanding number of shares is one share for each stock. Each investor has the following quadratic expected utility: EU; = ER Var(Rp), i = 1,2. Y1 = 10,72 = 15 1. If investor 1 demands only stock A and risk-free asset, and investor 2 demands only stock B and risk-free asset, then what are market demands for stock A and B what are the equilibrium stock prices of A and B? 2. Under the assumption of 1, is the market portfolio efficient? 3. If both investors demand both stocks and risk-free asset. What are the equilibrium stock prices of stock A and B? Is the market portfolio efficient? 4. Based on the results from 2 and 3, the market portfolio always efficient? Under what condition is the market portfolio efficient
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