Consider the following two mutually exclusive projects:

YearCash Flow $($A$)$Cash Flow $($B$)0$$ $427,000$$ $41,000143,00020,600263,00013,100380,00019,6004542,00016,400$

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

What is the payback period for each project?

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

What is the NPV for each project?

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

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$.,32\mathrm{.}16.$

What is the profitability index for each project?

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

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