You build a windmill that costs $$500,000$ and agree to a $25-$year power purchase agreement for which you receive $$60,000$ each year. If your required return is $8\mathrm{.}25\%,$ what is the profitability index $($PI$)$ of this project?

Group of answer choices

$0\mathrm{.}2541$

$0\mathrm{.}4982$

$0\mathrm{.}2026$

$0\mathrm{.}3791$