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Pat McCormack variance of portfolio

December 15, 2020

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:

Minimize portfolio variance = 0.16X2 + 0.2XY + 0.09Y2

subject to X + Y = 1 (all funds must be invested)

0.11X + 0.08Y >=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

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?