All techniques Rieger Intemational is evaluating the feasibility of imvesting $$80,000$ 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 irvestment.

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

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

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

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

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

$9.$ Evaluate the acceptability of the proposed irvestment using NPV$,$ IRR, and MIRR.

Year $()12345$Cash inflows $($CF;$)$$$20,000$$$40,000$$$25,000$$$25,000$$$20,000$