Annuity G has the same i and PMT as Annuity H. G has twice as many payments as H. Will G's future value be (pick one): (i) double, (ii) more than double, or (iii) less than double the amount of H's future value? Give the reason for your choice.

G's future value will be (ii) more than double H's future value. From the pattern of the contributions of individual payments to the annuity's future value, we see that the earlier half of an annuity's payments contribute more to the future value than the latter half of the payments. It follows that doubling the number of payments will more than double an annuity's future value.