Your firm is considering a project that will cost $$$$4\mathrm{.}59$ million up$$ front, generate cash flows of $$$$3\mathrm{.}52$ million per year for $3$years$,$ and then have a cleanup and shutdown cost of $$$$6\mathrm{.}01$ million in the fourth year.

a$.$ How many IRRs does this project$$ have?

b$.$ Calculate a modified IRR for this project assuming a discount and compounding rate of $9\mathrm{.}9\%.$