Crystal Display Corp. $($CDC$)$ is considering two mutually exclusive investment projects. The cost of capital for these projects is $r.$ The projects' expected net cash flows $($in $$1,000$ s$)$ are as follows:

$\backslash$table$[[$Year$,$Project A$\text{'}$s expected cash flow,Project B$\text{'}$s expected cash flow$],[,-42,-42],[1,24,16],[2,20,18],[3,16,22],[4,12,20]]$

a$.$ Calculate each project's payback $(PB)$ period if $r=10\%($up to $2$ decimal places$).$ Which project should be accepted?

b$.$ Calculate each project's discounted payback $($DPB$)$ period if $r=10\%($up to $2$ decimal places$).$ Which project should be accepted?

c$.$ Construct NPV profiles $(Y=NPV$;$x=r$; two curves on one chart$)$ for Projects A and $B,$ using $r=0\%,4\%,8\%,10\%,12\%,16\%,20\%,22\%,24\%,28\%,32\%,36\%,$ and $48\%.$ Show calculations and an Excel chart.

d$.$ Calculate each project's IRR. Which project should be accepted if $r=10\%?$

e$.$ If $r=10\%,$ which project should be selected under the NPV method?

f$.$ If $r=20\%,$ which project should be selected under the NPV method?

g$.$ Calculate each project's PI at $r=10\%$ and $r=20\%,$ respectively. Under the PI method, which project should be selected?

h$.$ Find the crossover rate. Briefly explain its importance.

i$.$ Calculate each project's MIRR. Which project should be accepted if $r=10\%?$