Consider the following two mutually exclusive projects:

Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Year Cash Flow $($A$)$ Cash Flow $($B$)$

$0$$ $425,000$$ $40,000$

$144,00020,400$

$262,00013,300$

$379,00018,600$

$4540,00015,400$

The required return on these investments is $10$ percent.

What is the payback period for each project?

What is the NPV for each project?

What is the IRR for each project?

What is the profitability index for each project?

Based on your answers in $($a$)$ through $($d$),$ which project will you finally choose?