Given an investment opportunity of a new project. The initial investment is USD $13,000$ million with a required return of $8\%.$ The project is expected to generate operating cash flows of : Year $1-$ USD$4,000$ million, Year $2-$ USD $8,000$ million, and Year $3-$ USD$6,000$ million.

i$.$ How much is the payback period? Whether the project should be accepted or rejected? Critically evaluate your answer and support with justification.

ii$.$ How much is the discounted payback period? Whether the project with justification.

iii. How much is the net present value $($NPV$)?$ Whether the project should be accepted or rejected? Critically evaluate your answer and support with justification.

iv$.$ How much is the internal rate of return $($IRR$)?$ Whether the project should be accepted or rejected? Critically evalute your answer and support with justification.

v$.$ How much is the modified internal rate of return $($MIRR$)?$ Whether the project should be accepted or rejected? Critically evaluate your answer and support with justification.

$***$ All the calculation and formulas should be done and shown in Microsoft Word, Excel calculation is not accepted. You are required to write out the formula as part of the calculation to score marks.