Assume that the existing portfolio of the Darden Capital is well-diversified. Therefore, we use the return of S&P 500 to proxy for the return of the existing portfolio. Using mean-variance analysis to derive the optimal portfolio with additional six securities that the fund is considering. What is the annualized Sharpe ratio of the optimal portfolio?

What is the weight of the following 7 assets in the optimal portfolio?

	E(r)	Std Dev	Alpha	Beta
Boise	10.8%	31.2%	1.32%	1.14
Boston	8.2%	31.7%	1.52%	0.46
Micron	13.0%	76.2%	-7.52%	2.19
Mylan	10.9%	39.4%	5.82%	0.26
New York Times	9.0%	25.8%	0.24%	0.72
Placer Dome	8.8%	43.2%	3.80%	0.25
S&P500	11.0%	17.0%	0.00%	1

Please show work :)