An annuity consisting of payments of Rs. 500 made at the end of every ...
Calculation of Future Value of Annuity
An annuity is a series of equal payments made at regular intervals. In this case, the annuity consists of payments of Rs. 500 made at the end of every 3 months for 4 years. The rate of interest is 6% compounded quarterly. We need to calculate the future value of this annuity.
Formula to Calculate Future Value of Annuity
The formula to calculate the future value of an annuity is:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
Where,
- FV = Future value of annuity
- PMT = Payment made at regular intervals
- r = Annual interest rate
- n = Number of compounding periods per year
- t = Number of years
Calculation of Future Value of Annuity
Using the formula mentioned above, we can calculate the future value of the annuity as follows:
FV = (500 x (((1 + 0.06/4)^(4*4)) - 1)) / (0.06/4)
FV = Rs. 27,521.59
Explanation
The future value of the annuity is Rs. 27,521.59. This means that if you invest Rs. 500 at the end of every 3 months for 4 years at an interest rate of 6% compounded quarterly, the value of your investment would be Rs. 27,521.59 after 4 years. This is because the interest earned on the investment is reinvested, leading to compounding of interest.