An investment has an installed cost of $$574,380.$ The cash flows over the four$-$year life of the investment are projected to be $$216,700,$$$259,300,$$$214,600,$ and $$167,410,$ respectively.

a$.$ If the discount rate is zero, what is the NPV$?($Do not round intermediate calculations.$)$

b$.$ If the discount rate is infinite, what is the NPV$?($A negative answer should be indicated by a minus sign. Do not round intermediate calculations.$)$

c$.$ At what discount rate is the NPV just equal to zero? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$.$ NPV

b$.$ NPV

c$.$ IRR