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

considering a project with an initial cash outlay of $$87,000$ and expected cash flows of $$25,230$ at the end of each year

for six years. The discount rate for this project is $10\mathrm{.}9$ 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 PI$?$

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