Consider the following two mutually exclusive projects:

$\backslash$table$[[$Year$,$Cash Flow $($A$),$Cash,Flow $($B$)],[0,-$$$417,000,-$$$,36,000],[1,48,000,,19,600],[2,58,000,,14,100],[3,75,000,,14,600],[4,532,000,,11,400]]$

The required return on these investments is $13$ 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?

$\backslash$table$[[$a$.$ Project A$,$years$],[$Project B$,$years$],[$b$.$ Project A$],[$Project B$],[$c$.$ Project A$,\%$