All techniques Rieger International is evaluating the feasibility of investing $$95,000$ in a piece of equipment that has a $5-$year life. The firm has estimated the cash inflows associated with the proposal as shown in the following table: $$ The firm has a cost of capital of $12\%.$

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.

a$.$ The payback period of the proposed investment is $3\mathrm{.}57$ years. $($Round to two decimal places.$)$

b$.$ Calculate the discounted cash flows for the proposed investment in the following table. $($Round to the nearest cer

$\backslash$table$[[$Year$,$Cash Flow,Discounted Cash Flow$],[0,-$$$95,000,-$$$95,000\mathrm{.}00$