Consider the following two mutually exclusive projects: $$ YearCash Flow $($A$)$Cash Flow $($B$)0$$$245,000$$$53,000134,00031,900249,00021,800351,00017,3004325,00016,200$ The required return on these investments is $13$ percent. $$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?$$