Rieger International is evaluating the feasibility of investing $$$$95$ comma $000$ in a piece of equipment that has a $5$ dash year life. The firm has estimated the cash inflows associated with the proposal as shown in the following$$ table: LOADING.... 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.

Year $($t$)$

Cash inflows $($CF Subscript t$)$

$1$

$$$$20$ comma $000$

$2$

$$$$25$ comma $000$

$3$

$$$$30$ comma $000$

$4$

$$$$35$ comma $000$

$5$

$$$$40$ comma $000$