Consider the following two mutually exclusive projects:

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

$0$$$429,000$$$42,000$

$142,00020,800$

$264,00012,900$

$381,00020,600$

$4544,00017,400$

The required return on these investments is $11$ 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?