Consider the following two mutually exclusive projects:

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

$0$$ $434,000$$ $44,500$

$139,50021,300$

$266,50012,400$

$383,50023,100$

$4549,00019,900$

The required return on these investments is $11$ percent.

a$.$ What is the payback period for each project?

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

b$.$ What is the NPV for each project?

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

c$.$ What is the IRR for each project?

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

d$.$ What is the profitability index for each project?

Note: Do not round intermediate calculations and round your answers to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$

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