S and T are two portfolios on the efficient frontier, the following table summarizes the weights of five stock in each portfolio
Stock / Stock Weights for Portfolio S / Stock Weights for Portfolio T / Expected Return
INTC 20% 20% 15%
MRK 20% 30% 25%
MSFT 30% 20% 10%
APPL 15% 0% 8%
JPM 15% 30% 14%
a) Find the expected return of each portfolio. b) Ouday invests $500,000 in portfolio S and $800,000 in portfolio T. 1) What amount of his portfolio will be invested in each stock? 2) Find the expected return of Ouday’s portfolio
a] | Stock Weights | Expected Return | ||||
Stock | Portfolio S | Portfolio T | Stock | Portfolio S | Portfolio T | |
INTC | 20% | 20% | 15% | 3.00% | 3.00% | |
MRK | 20% | 30% | 25% | 5.00% | 7.50% | |
MSFT | 30% | 20% | 10% | 3.00% | 2.00% | |
APPL | 15% | 0% | 8% | 1.20% | 0.00% | |
JPM | 15% | 30% | 14% | 2.10% | 4.20% | |
14.30% | 16.70% | |||||
a] | Expected portfolio: | |||||
Portfolio S | 14.30% | |||||
Portfolio T | 16.70% | |||||
b] | Weight of S = 500000/1300000 = | 38.46% | ||||
Weight of T = 800000/1300000 = | 61.54% | |||||
c] | Expected return of portfolio = 14.30%*38.46%+16.70%*61.54% = | 15.78% |
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