In: Advanced Math
Problem 2-25 (Algorithmic)
George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund and (2) a stock fund. The projected returns over the life of the investments are 8% for the bond fund and 20% for the stock fund. Whatever portion of the inheritance he finally decides to commit to the trust fund, he wants to invest at least 40% of that amount in the bond fund. In addition, he wants to select a mix that will enable him to obtain a total return of at least 5.5%.
| Let B | = | percentage of funds invested in the bond fund |
| S | = | percentage of funds invested in the stock fund |
| B | + | S | ||||
| s.t. | ||||||
| B | Bond fund minimum | |||||
| B | + | S | Minimum return | |||
| B | + | S | Percentage requirement |