YZ is considering buying a new, high efficiency interception system. The new system would be purchased today for $$45100\mathrm{.}00.$ It would be depreciated straight$-$line to $$0$ over $2$ years. In $2$ years, the system would be sold for an after$-$tax cash flow of $$14700\mathrm{.}00.$ Without the system, costs are expected to be $$100,000\mathrm{.}00$ in $1$ year and $$100,000\mathrm{.}00$ in $2$ years. With the system, costs are expected to be $$78100\mathrm{.}00$ in $1$ year and $$69000\mathrm{.}00$ in $2$ years. If the tax rate is $45\mathrm{.}30\%$ and the cost of capital is $8\mathrm{.}60\%,$ what is the net present value of the new interception system project?