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| rev | Admin | (Created page with "'''Solution: A''' The present value function and its derivatives are <math display = "block"> \begin{array}{l c r}{{P(i)=X+Y(1+i)^{-3}-500(1+i)^{-1}-1000(1+i)^{-4}}}\\ {{P^{\prime}(i)=-3Y(1+i)^{-4}+500(1+i)^{-5}-20,000(1+i)^{-5}}}\\ {{P^{\prime\prime}(i)=12Y(1+i)^{-5}-1000(1+i)^{-5}-20,000(1+i)^{-6}.}}\end{array} </math> The equations to solve for matching present values and duration (at i = 0.10) and their solution are <math display = "block"> \begin{array}{l c r}{{...") | Nov 20'23 at 20:00 | +918 |