Question $1$ The following information about two mutually exclusive projects R and S are relevant for requirements for questions $1$a$1$c$.$ Max$-$W Company is considering investing in Project R$,$ which will require an outlay of $$900$ million. The project will have a four$-$year life and at the end of that time, the equipment will be scrapped. The project is expected to generate the following annual cash flows: Question $1$ investment opportunities Year$-1$ Year$-2$ Year$-3$ Year$-4$ Cash inflows $$690$m $$590$m $$570$m $$480$m Cash outflows $$280$m $$220$m $$220$m $$200$m The company has a required rate of return of $9\mathrm{.}09\%.$ The company normally has two$-$year payback criteria. The alternative project$-$S offers the following net cash flows: Year$-0($$$900$m$)$; Year$-1$ $$254$m; Year$-2$ $$319$m; Year$-3$ $$447$m and Year$-4$ $$499$m$.$ Calculate the: NPV IRR PVI Payback period Discounted payback period for projects R and S$.$ Calculate the crossover rate $($between projects R and S$)$ based on the cash flow data mentioned above. Show the range of required rates for which either project$-$R or project$-$S would be preferred. Based on your findings in requirements a and b above, what would be the decision of selection of project $($when the required rate of return is $9\mathrm{.}09$ percent$)?$