Consider the following two mutually exclusive projects:

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

$0$$ $432,000$$ $43,500$

$140,50021,100$

$265,50012,600$

$382,50022,100$

$4547,00018,900$

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?