Henry, manager of a widget factory, bought a new machine with an estimated useful life of five years. The machine will generate cash inflows of \(\$ 12,000\) each year over the next five years. The machine has no salvage value at the end of five years, and the company's discount rate is \(10 \%\). Henry calculates the NPV of the investment to be \(\$ 10,000\). What is the cost of the machine? What is the payback period?