Your firm is considering introducing a new product into the current markets for their best product. The machine to produce the new product will cost $$525,000,$ and will require another $$25,000$ to ship it and install it in place. It will also require an increase in net working capital of $$4,000$ up front, which will be recovered at the end of the project. The new machine falls under the MACRS $5-$year schedule for depreciation $(20\mathrm{.}00\%$ in year $1,32\mathrm{.}00\%$ in year $2,19\mathrm{.}20\%$ in year $3,11\mathrm{.}52\%$ in years $4$ and $5,$ and $5\mathrm{.}76\%$ in year $6).$

Marketing believes they can sell the new product for $$150,$ and that they will sell $4,500$ units in the first year, $4,000$ units in the second year, $3,500$ units in the third year, $3,000$ units in the fourth year, and $2,000$ units in the fifth and final year of the project. Variable costs for the new product are $30\%$ of the sales price, and fixed costs are $$225,000$ per year. At the end five years it is estimated that the new machine will have a salvage $($market$)$ value of $$25,000.$ The appropriate discount rate for the new machine is $9\mathrm{.}25\%.$ The firm's tax rate is $21\mathrm{.}0\%.$

What is the Net Present Value $($NPV$)$ for the project?