Consider the following two mutually exclusive projects:

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

$0$$$427,000$$$41,000$

$143,00020,600$

$263,00013,100$

$380,00019,600$

$4542,00016,400$

The required return on these investments is $13$ percent.

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