$($Payback period, net present$$ value, profitability$$ index, and internal rate of return$$ calculations$)$You are considering a project with an initial cash outlay of $72,000$ and expected cash flows of $20,880$ at the end of each year for six years. The discount rate for this project is $10\mathrm{.}3$ percent.

a$.$What are the$$ project's payback and discounted payback$$ periods?

b$.$What is the$$ project's NPV$?$

c$.$What is the$$ project's PI$?$

d$.$What is the$$ project's IRR?