Future Value of Ordinary Annuity Calculator for $6,000 Annually at 6% for 15 Years
Determine how much $6,000 invested at the end of each year will grow to over 15 years at a 6% annual interest rate.
Calculates the future value of an ordinary annuity with fixed payments made at the end of each period. Enter your Periodic Payment Amount (P), Interest Rate per Period (r), Number of Periods (n) to get an instant future value of annuity. Formula: p * ((pow(1 + r, n) - 1) / r).
Future Value of Annuity
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How It Works
How It Works
This calculator finds the future value of an ordinary annuity, which means regular fixed payments made at the end of each period. It shows how much those payments will grow over time with compound interest.
- You enter the payment amount (P) made each period.
- You enter the interest rate per period (r) as a decimal (for example, 0.05 for 5%).
- You enter the total number of periods (n).
- The formula multiplies your payment by the total growth factor: P × ((1 + r)^n − 1) ÷ r.
- The result is the total accumulated value after the final period.
Understanding the Results
The result shows how much your series of payments will be worth at the end of the last period, including all interest earned. It assumes each payment is made at the end of each period and that the interest rate stays constant.
- The output is in the same currency as your payment amount.
- A higher interest rate increases the future value.
- More periods allow more time for compound growth.
- Larger regular payments lead to a bigger final total.
- This does not account for taxes, fees, or changes in interest rate.
Frequently Asked Questions
What does the Future Value of an Ordinary Annuity Calculator compute?
This calculator determines the total value of a series of equal payments made at the end of each period, after earning interest over time. It shows how much your regular contributions will grow to by the end of the specified number of periods. This is commonly used for savings plans, retirement contributions, or investment deposits.
When should I use this calculator?
Use this calculator when you are making consistent, fixed payments at the end of each period, such as monthly savings deposits or annual investment contributions. It is specifically designed for ordinary annuities, not payments made at the beginning of each period. If your payments occur at the start of each period, a different formula is required.
How do I enter the interest rate?
Enter the interest rate per period as a decimal, not a percentage. For example, if the interest rate is 5%, you should enter 0.05. If you are working with monthly periods and the annual rate is 6%, divide 6% by 12 and enter 0.005.
What does 'Number of Periods' mean?
The number of periods represents how many payments you will make and how many times interest will be applied. For example, if you deposit money monthly for 5 years, the number of periods would be 60. Make sure the interest rate matches the same time period (e.g., monthly rate for monthly payments).
What happens if the interest rate is zero?
If the interest rate is 0, the formula cannot divide by zero. In that case, the future value would simply be the payment amount multiplied by the number of periods. For example, depositing $100 for 10 periods with no interest would result in $1,000.
Can you provide a practical example?
Suppose you invest $200 at the end of each month for 3 years at a monthly interest rate of 0.5% (0.005). Enter 200 for the payment, 0.005 for the interest rate, and 36 for the number of periods. The calculator will return the total accumulated value of all payments plus interest at the end of the 3 years.
Disclaimer
This financial calculator provides estimates only. Actual results may vary. Consult a qualified financial advisor for personalized guidance. Disclaimer.