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
