Bruin, Incorporated, has identified the following two mutually exclusive projects:

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

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

$0$$ $58,000$$ $58,000$

$134,00021,200$

$228,00025,200$

$320,00030,000$

$413,60025,200$

a$-1.$ What is the IRR for each of these projects?

a$-2.$ If you apply the IRR decision rule, which project should the company accept?

b$-1.$ Assume the required return is $14$ percent. What is the NPV for each of these projects?

b$-2.$ Which project will you choose of you apply the NPV decision rule?

c$-1.$ Over what range of discount rates would you choose Project A$?$

c$-2.$ Over what range of discount rates would you choose Project B$?$

d$.$ At what discount rate would you be indifferent between these two projects?