St$.$ Johns River Shipyards' welding machine is $15$ years old, fully depreciated, and has no salvage value. However, even though it is old, it is still functional as originally designed and can be used for quite a while longer. A new welder will cost $$180,000$ and have an estimated life of $8$ years with no salvage value. The new welder will be much more efficient, however, and this enhanced efficiency will increase earnings before depreciation from $$27,000$ to $$71,500$ per year. The new machine will be depreciated over its $5-$year MACRS recovery period, so the applicable depreciation rates are $20\mathrm{.}00\%,32\mathrm{.}00\%,19\mathrm{.}20\%,11\mathrm{.}52\%,11\mathrm{.}52\%,$ and $5\mathrm{.}76\%.$ The applicable corporate tax rate is $25\%,$ and the project cost of capital is $12\%.$ What is the NPV if the firm replaces the old welder with the new one? Do not round intermediate calculations. Round your answer to the nearest dollar. Negative value, if any, should be indicated by a minus sign.$$$