Consider an investment which pays $$2,000$ at the end of year $1,$ $$3,000$ at the end of year $2,$ $$12,000$ at the end of year $3.$ In year $4,$ the investment will pay $$7,000$ and this payment will grow by $2\mathrm{.}4\%$ each year forever. If the appropriate discount rate is $9\%,$ what is this investment worth today?

Consider an investment which pays $$2,000$ at the end of year $1,$ $$3,000$ at the end of year $2,$ $$12,000$ at the end of year $3.$ In year $4,$ the investment will pay $$7,000$ and this payment will grow by $2\mathrm{.}4\%$ each year forever. If the appropriate discount rate is $9\%,$ what is this investment worth today?

$95524\mathrm{.}35$

$90537\mathrm{.}35$

$88762\mathrm{.}11$

$18585\mathrm{.}08$