XYZ is considering buying a new high efficiency interception system. The new system would be purchased today for $$48,400.$ It would be depreciated straight line to $$0$ over two years. in two years the system will be sold for an after tax cash flow of $$14,700$ without the system costs are expected to be $$100,000$ in one year and $$100,000$ in $2$ years with the system costs are expected to be $$79,600$ in one year and $$64,600$ in two years. The tax rate is $45\%$ and the cost of capital is $8\mathrm{.}7\%$ what is the net present value of the new interception system project?$10076\mathrm{.}1211765\mathrm{.}9514020\mathrm{.}6914\mathrm{.}966\mathrm{.}41$None