Pat McCormack, a financial advisor for Investors R Us, is evaluating two stocks in a particular industry. He wants to minimize the variance of a portfolio consisting of these two stocks, but he wants to have an expected return of at least 9%. After obtaining historical data on the variance and returns, he develops the following nonlinear program:

If the expected return is at least 10% instead of 9% : Solve this using Excel and determine how much to invest in each of the two stocks. What is the return for this portfolio? What is the variance of this portfolio?

Minimize portfolio variance = 0.16x2 + 0.2XY + 0.0972 subject to X + Y = 1 (all funds must be invested) 0.11X + 0.08Y 2 0.09 (return on the investment) X,Y > 0 where X = proportion of money invested in stock 1 Y = proportion of money invested in stock 2