A $$100\mathrm{.}0$ million investment in a piece of equipment $($with a useful life of five years$)$ expects to receive the following net cash flows in savings: $$20\mathrm{.}0$ million annual net cash flow savings in years one and two $($$$40\mathrm{.}0$ million over those two years$)$; $$15\mathrm{.}0$ million in annual net cash flow savings in years three and four and five $($$$45\mathrm{.}0$ million over those three years$).$ This $$100\mathrm{.}0$ million purchase of equipment will take place on $12/31/23,$ and these projected net cash flows will be received at the end of each year $(12/31$ annually$).$ The equipment has a scrap value, and the company expects to sell the equipment at the end of the five years and receive $$50\mathrm{.}0$ million in net proceeds from the sale. What is projected five$-$year internal rate of return of this investment?

Group of answer choices

$7\mathrm{.}8\%$

$8\mathrm{.}9\%$

$9\mathrm{.}0\%$

$10\mathrm{.}1\%$