Exercise 4. A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a (risk-free) rate of 8%. The probability distribution of the risky funds is as follows: Fund Expected Return Std. Dev. Stock fund (S) 20% 30% Bond find (B) 12% 15% The correlation between the risky fund returns is 0.1. Set up (but do not solve the problem of finding the optimal risky portfolio (that is, the risky portfolio with the highest possible Sharpe ratio), denoting us the fraction of wealth invested in the stock fund and 1 - wg the fraction of wealth invested in the bond fund