XYZ is considering buying a new, high efficiency interception system. The new system would be purchased today for $$48,400\mathrm{.}00.$ It would be depreciated straight$-$lineand s$100,00000$ in $2$ years with the system, costs are cxpected to be $579,200\mathrm{.}00$ in $1)$ ar and s$6420000$in $2$ years ihe x tate s $47)00\%$ and theco of captat ts $-8\mathrm{.}10\%,$ what is the net present value of the new interception system project? $$13813\mathrm{.}23($plus or minus $$50)$ $$14771\mathrm{.}49($plus or minus $$50)$ $$12162\mathrm{.}17($plus or minus $$50)$ $$10612\mathrm{.}96($plus or minus $$50)$ None of the above is within $$50$ of the correct answer