Problema Solution
An annuity due is paying 10%. If quarterly payments of $500 are made for 3 years, the future value of the annuity will be?
Answer provided by our tutors
we assume the interest specified is an annual interest rate
since no equation has been provided, we use the following formula for calculating the value of an annuity:
t = p[((1+r)^n - 1)/r] where 't' is the current total value, 'p' is the payment amount, 'r' is the normalized interest rate and 'n' is the number of payments
3*4 = 12 quarterly payments over 3 years
10 / 4 = 2.5% quarterly interest
t = 500((1+0.025)^12 - 1)/0.025 = 6897.77
Based on the assumptions we have made, the future value of the annuity will be approximately $6,898