A deferred annuity will pay you $$500$ at the end of each year for $10$ years, however the

first payment will not be made until three years from today $($payments will be made at the

end of years $3$ through $12).$ What amount will you have to deposit today to fund this

deferred annuity? Use an $8\%$ discount rate and round your answer to the nearest $$100.$

$$2,400$

$$3,400$

$$2,200$

$$2,900$