A company is considering two capital investments. Each requires an initial investment of $$15,000$ and has a $4$ year useful life. Investment A has expected cash inflows of $$5,000$ each year for the $4$ years for total cash inflows of $$20,000.$ Investment B has the following expected cash flows: Year $1$: $$8,000$; Year $2$: $$6,000$; Year $3$: $$4,000$; Year $4$: $$2,000$; Total cash flows: $$20,000.$ Using the payback period as the evaluation method, which investment should be chosen by management?