$13.$ NPV versus IRR $[1\mathrm{.}01,51$ Consider the following two mutually exclusive projects:

Cash Flow $($X$)$

$-$ $$30,000,13,700,14,200,13,400$

Cash Flow $($Y$)$

$-$$$30,000,15,600,12,200,13,300$

Sketch the NPV profiles for X and Y over a range of discount rates from zero to $25$ percent. What is the crossover rate for these two projects?