Consider the following cash flows:

YearCash Flow$0$$ $29,400114,300214,600311,000$

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$.,32\mathrm{.}161.$