Question

You have $256,000 to invest in a stock portfolio. Your choices are Stock H, with an expected return of 14.1 percent, and Stock L, with an expected return of 10.7 percent. If your goal is to create a portfolio with an expected return of 12.3 percent, how much money will you invest in Stock H and in Stock L

Answer 1

Answer: Investment in H = .4706($256,000)

Investment in H = $120,470.59

Investment in L = .5294($256,000)

Investment in L = $135,529.41

Explanation:

Investment in Stock H

Investment in Stock L

Here, the expected return of the portfolio and the expected return of the assets in the portfolio have been given and we're to calculate the dollar amount of each asset in the portfolio. So, we need to find the weight of each asset in the portfolio. Since the total weight of the assets in the portfolio must equal 1 (or 100%), we can find the weight of each asset as:

E[Rp] = .1230 = .141xH + .107(1 - xH)

xH = .4706

xL = 1 - xH

xL = 1 - .4706

xL = .5294

So, the dollar investment in each asset is the weight of the asset times the value of the portfolio, so the dollar investment in each asset must be:

Investment in H = .4706($256,000)

Investment in H = $120,470.59

Investment in L = .5294($256,000)

Investment in L = $135,529.41