Almendarez Corporation is considering the purchase of a machine that would cost $$100,000$ and would last for $3$ years. At the end of $3$ years, the machine would have a salvage value of $$15,000.$ By reducing labor and other operating costs, the machine would provide annual cost savings of $$35,000.$ The company requires a minimum pretax return of $12\%$ on all investment projects. $($Ignore income taxes.$)$

The net present value of the proposed project is closest to: $($Round your intermediate calculations and final answer to the nearest whole dollar amount.$)$