Consider the following two mutually exclusive projects:

$\backslash$table$[[$Year$,$Cash Flow $($A$),$Cash,Flow $($B$)],[0,-$$$425,000,-$$$,40,000],[1,44,000,,20,400],[2,62,000,,13,300],[3,79,000,,18,600],[4,540,000,,15,400]]$

The required return on these investments is $10$ 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? $($Note: if conclusions with evaluation methods disagree, choose project with highest NPV$.)$