$9\mathrm{.}7.$ Consider another uneven cash flow stream: Year

$012345$

Cash Flow $$2,000$

$2,0000$

$1,5002,5004,000$

a$.$ What is the present $($year $0)$ value of the cash flow stream if the opportunity cost rate is $10$ percent?

b$.$ What is the future $($year $5)$ value of the cash flow stream if the cash flows are invested in an account that pays $10$ percent annually?

c$.$ What cash flow today $($year $0),$ in lieu of the $$2,000$ cash flow, would be needed to accumulate $$20,000$ at the end of year $5?$

$($Assume that the cash flows for years $1$ through $5$ remain the same.$)$

d$.$ Time value analysis involves either discounting or compounding cash flows. Many healthcare financial management decisions$$such as bond refunding, capital investment, and lease versus buy$$involve discounting projected future cash flows. What factors must executives consider when choosing a discount rate to apply to forecast cash flows