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$$ $61,000$$ $61,000$

$137,00023,900$

$231,00027,900$

$321,50033,000$

$414,20024,900$

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 $12$ 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?