All techniques Rieger International is evaluating the feasibility of investing $$87,000$ in a piece of equipment that has a $5-$year life. The firm has estimated the cash inflows associated with the proposal as shown in the following table: $.$ The firm has a cost of capital of $8\%.$

a$.$ Calculate the payback period for the proposed investment.

b$.$ Calculate the discounted payback period for the proposed investment.

c$.$ Calculate the net present value $($NPV$)$ for the proposed investment.

d$.$ Calculate the probability index for the proposed investment.

e$.$ Calculate the internal rate of return $($IRR$)$ for the proposed investment.

f$.$ Calculate the modified internal rate of return $($MIRR$)$ for the proposed investment.

g$.$ Evaluate the acceptability of the proposed investment using NPV$,$ IRR, and MIRR.

Data table

$($Click on the icon here in order to copy the contents of the data table below into a spreadsheet.$)$

$\backslash$table$[[$Year $(t),$Cash inflows $(C{F}_t)$