83. Optimization models are used by many Wall Street firms to select a desirable bond portfolio. The following is a simplified version of such a model. A company is con- sidering investing in four bonds; $1 million is available for investment. The expected annual return, the worst case annual return on each bond, and the duration of Because of diversification requirements, at most 40% of the total amount invested can be invested in a single Determine how the company can maximize the each bond are given in the file P14_83.xlsx. (The dura- tion of a bond is a measure of the bond's sensitivity to interest rates.) The company wants to maximize the expected return from its bond investments, subject to three constraints: The worst-case return of the bond portfolio must be at least 8%. The average duration of the portfolio must be at most 6. For example, a portfolio that invests $600,000 in bond 1 and $400,000 in bond 4 has an average duration of (600,000(3) + 400,000(9)/1,000,000 = 5.4. expected return on its investment. bond. 83. Optimization models are used by many Wall Street firms to select a desirable bond portfolio. The following is a simplified version of such a model. A company is con- sidering investing in four bonds; $1 million is available for investment. The expected annual return, the worst case annual return on each bond, and the duration of Because of diversification requirements, at most 40% of the total amount invested can be invested in a single Determine how the company can maximize the each bond are given in the file P14_83.xlsx. (The dura- tion of a bond is a measure of the bond's sensitivity to interest rates.) The company wants to maximize the expected return from its bond investments, subject to three constraints: The worst-case return of the bond portfolio must be at least 8%. The average duration of the portfolio must be at most 6. For example, a portfolio that invests $600,000 in bond 1 and $400,000 in bond 4 has an average duration of (600,000(3) + 400,000(9)/1,000,000 = 5.4. expected return on its investment. bond