Michael Scott Paper, Inc. is considering a new machine that requires an initial investment of $$650,000,$ including installation costs, and has a useful life of ten years. The expected annual after$-$tax cash flows for the machine are $$90,000$ during the first two years, $$115,000$ during years three through six, and $$85,000$ during the remaining years of its useful life. What is the net present value $($NPV$)$ when the discount rate is $5\%?$

Group of answer choices

$$112,132\mathrm{.}97$

$$189,746\mathrm{.}24$

$$106,793\mathrm{.}30$

$$122,614\mathrm{.}62$