Assume that the interest rate is $8\%$ per year and you expect to receive the following stream of annual cash flows from a project: $($The year $0$ cash flow occurs today and the year $4$ cash flow occurs exactly $4$ years from today$).$ What is the current Net Present Value $($NPV$0)$ of the stream of cash flows? Cash Flows in dollars: $($Year $0$: $-10,000)$; $($Year $1$: $15,000)$; $($Year $2$: $20,000)$; $($Year $3$: $15,000)$; $($Year $4$: $20,000)$

$$42,728$

$$75,269$

$$98,697$

$$62,723$

$$47,644$