Consider the following cash flows:

Year Cash Flow

$0$$ $29,400$

$114,300$

$214,600$

$311,000$

What is the profitability index for the cash flows if the relevant discount rate is $8$ percent?

Note: Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$

What is the profitability index if the discount rate is $13$ percent?

Note: Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$

What is the profitability index if the discount rate is $20$ percent?

Note: Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}161.$