Animals, Inc. is considering a machine that will cost $$21,000$ and which can be sold after $3$ years for $$2,000.$ The machine will save Animals costs of $$18,000$ per year for $3$ years. The machine will be depreciated on a straight line basis over three years to a zero salvage value. Animals has a $20\%$ tax rate and a $10\%$ cost of capital. What is the NPV of the machine?