Imagine a project with an initial investment of $$75M.$ This project offers $$0$ in Year $1$ and $$20M$ in Year $2.$ Starting from Year $3,$ the FCFs will grow $8\%$ per year. If the project is expected to last eight years and your discount rate is $10\mathrm{.}80\%,$ what are the payback period $($PBP$)$ and the profitability index $(\frac{?}{PI})$ of this project?

$\frac{?}{PI}=1\mathrm{.}53,PBP=4\mathrm{.}400$

$\frac{?}{PI}=1\mathrm{.}41,PBP=5\mathrm{.}834$

$\frac{?}{PI}=1\mathrm{.}53,PBP=5\mathrm{.}834$

$\frac{?}{PI}=1\mathrm{.}41,PBP=4\mathrm{.}400$

$\frac{?}{PI}=1\mathrm{.}41,PBP=4\mathrm{.}852$