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

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

$$96,061\mathrm{.}10$

$$89,399\mathrm{.}79$

$$91,187\mathrm{.}79$

$$20,344\mathrm{.}19$