$($Payback period, net present value, profitability index, and internal rate of return calculations$)$ You are

considering a project with an initial cash outlay of $$75,000$ and expected cash flows of $$20,250$ at the end of

each year for six years. The discount rate for this project is $9\mathrm{.}9$ 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 $\frac{?}{PI}?$

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

a$.$ The payback period of the project is

years. $($Round to two decimal places.$)$