You have $1,000,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 18 percent and Stock Y with an expected return of 10 percent. Your goal is to create a portfolio with an expected return of 13 percent. All money must be invested. How much will you invest in Stock X?
How much will you invest in Stock X?
$ 3,75,000 |
Stock | Expected return (%) | Proportion | Expected return of portfolio (%) |
a | b | c = a × b | |
X | 18 | P | 18P |
Y | 10 | 1-P | 10(1-P) |
Expected return of portfolio (target) | 13 |
X | P | 0.375 | 37.5% |
Y | 1-P | 1 - 0.375 = 0.625 | 62.5% |
Stock | Expected return (%) | Proportion | Expected return of portfolio (%) |
a | b | c = a × b | |
X | 18 | 0.375 | 6.75 |
Y | 10 | 0.625 | 6.25 |
Expected return of portfolio (target) | 13.00 |
Stock | Computation | Amount invested | |
X | $1,000,000 × 37.5% | $ 375,000 | |
Y | $1,000,000 × 62.5% | $ 625,000 | |
Total | $ 1,000,000 |
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