Consider an investment which pays $$2,000$ at the end of year $1,$ $$5,000$ at the end of year $2,$ $$8,000$ at the end of year $3.$ In year $4,$ the investment will pay $$9,000$ and this payment will grow by $1\mathrm{.}1\%$ each year forever. If the appropriate discount rate is $9\%,$ what is this investment worth today?

$92927\mathrm{.}4$

$18596\mathrm{.}56$

$94785\mathrm{.}95$

$100191$