Problem 4 (a) Suppose that there are many stocks in the security market and that the characteristics of Stocks A and B are given as follows Expected Return 10% Stock Standard Deviation A 5% 15% 10% Correlation -1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? Explain HINT!!! The stocks are perfectly negatively correlated (b) Calculate the expected return and standard deviation of an equally weighted portfolio of Stock A, Stock B and the risk-free asset (c) What is the optimal portfolio? ASsume the investors risk aversion coefficient is given by A-4. Provide all the relevant portfolio weights for all three assets. The utility function is given below. HINT: The formula sheet contains a formula for the optimal risky portfolio for the special case of two risky assets U E(r) 0.5Ao? Problem 4 (a) Suppose that there are many stocks in the security market and that the characteristics of Stocks A and B are given as follows Expected Return 10% Stock Standard Deviation A 5% 15% 10% Correlation -1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? Explain HINT!!! The stocks are perfectly negatively correlated (b) Calculate the expected return and standard deviation of an equally weighted portfolio of Stock A, Stock B and the risk-free asset (c) What is the optimal portfolio? ASsume the investors risk aversion coefficient is given by A-4. Provide all the relevant portfolio weights for all three assets. The utility function is given below. HINT: The formula sheet contains a formula for the optimal risky portfolio for the special case of two risky assets U E(r) 0.5Ao