Consider the following two mutually exclusive projects:

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

$0$$ $338,788$$ $15,375$

$125,3004,101$

$254,0008,955$

$351,00013,121$

$4424,0009,824$

Whichever project you choose, if any, you require a $6$ percent return on your investment.

a$.$ What is the payback period for Project A$?$

b$.$ What is the payback period for Project B$?$

c$.$ What is the discounted payback period for Project A$?$

d$.$ What is the discounted payback period for Project B$?$

e$.$ What is the NPV for Project A$?$

f$.$ What is the NPV for Project B $?$

g$.$ What is the IRR for Project A$?$

h$.$ What is the IRR for Project B$?$

i$.$ What is the profitability index for Project A$?$

j$.$ What is the profitability index for Project B$?$