$$5,000$ and another $$2,500$ in one year. Exactly $6$ years from today, the project generates a revenue payout of $$8,500.$ If the cost of capital is $4\%,$ what is the profitability index?

$1\mathrm{.}14$

$1\mathrm{.}09$

$0\mathrm{.}91$

$0\mathrm{.}87$