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| rev | Admin | (Created page with "'''Solution: E''' Let x be the amount invested in Bond A and y the amount invested in Bond B. Then 2y is invested in Bond C. To match the present value of the assets and liabilities: <math display = "block"> \begin{array}{l}{{x+y+2y=190,000(1.07)^{-20.5}}}\\ {{x+3y=47,466.39.}}\end{array} </math> To match the Macauley durations, . Then, <math display = "block"> \begin{array}{c}{{20.5(47,466.39)=10(47,466.39-3y)+75y}}\\ {{\phantom{M}}}\\ {{y=\frac{20.5(47,366.39)-10(...") | Nov 20'23 at 21:40 | +629 |