Question

A company is considering investing a total amount of $2.50 million in four bonds. The expected annual return, the worst-case annual return on each bond, and the "duration" of each bond are given in the table below.
Bond 1Bond 2Bond 3Bond 4
Expected16%11%14%19%
Worst case7%9%11%10%
Duration45810
The duration of a bond is a measure of the bond's sensitively to interest rates. The company wants to maximize the expected return from its bond investments, subject to the following constraints:
The worst-case return of the bond portfolio must be at least 90%.
The average duration of the portfolio must be at most 7
Because of diversification requirements, at most 35% of the total amount invested in a single bond.
Determine how the company can maximize the expected return on its investment.

Answer

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