An investor can invest in 2 assets: a government T-bill with a certain return of 0.03, and the index of all stocks in the S&P 500 (an asset called SPY). The SPY asset has the following properties: E(r) = 0.08; volatility = 0.2 What is the Sharpe ratio of the SPY asset? 1.33 Let’s say the investor sets up their portfolio such that 40% is invested in SPY, and 60% is invested in the risk-free government debt. What is the expected return of the portfolio? 5 % (answer in units of %) What is the volatility of a portfolio? 8 % (answer in units of %) What is the Sharpe ratio of the portfolio? 25 Let’s say the investor had a utility function described by U = E(r) - 1/2*A*V^2, where A is the investor’s risk-aversion coefficient, and V is the volatility of the investor’s portfolio returns. If A = 3, would the investor prefer a) the initial setup with 40% invested in SPY, or b) 60% invested in SPY, and 40% invested in the risk-free asset instead? (please write one of the following: a b ) b