Calculator Inputs
This page uses beginning of period payments. That makes it an annuity due model.
Example Data Table
| Item | Example Value | Explanation |
|---|---|---|
| Periodic Payment | $1,000.00 | Deposit made at the start of each month. |
| Annual Nominal Rate | 6.00% | Quoted yearly rate before payment conversion. |
| Years | 10 | Total saving horizon. |
| Payments Per Year | 12 | Monthly deposit pattern. |
| Compounds Per Year | 12 | Monthly compounding assumption. |
| Initial Balance | $5,000.00 | Starting amount already invested. |
| Inflation Rate | 2.00% | Used for real value adjustment. |
| Estimated Future Value | $173,795.73 | Illustrative result for the sample inputs above. |
Formula Used
The standard future value formula for an annuity due is shown below.
FVdue = PMT × [((1 + i)n − 1) / i] × (1 + i)
i = (1 + r / m)m / p − 1
FV with initial balance = Initial × (1 + i)n + FVdue
- PMT is the payment made each period.
- i is the equivalent rate per payment period.
- n is the total number of payment periods.
- r is the annual nominal rate.
- m is the number of compoundings each year.
- p is the number of payments each year.
When payment growth is not zero, this page computes each period step by step. That keeps the schedule, graph, and exports consistent.
How to Use This Calculator
- Enter the deposit made at the start of each period.
- Enter the annual nominal rate and total years.
- Choose payment frequency and compounding frequency.
- Add any starting balance if money already exists.
- Enter payment growth for rising deposits, if needed.
- Enter inflation to estimate real purchasing power.
- Click calculate to show results above the form.
- Review the chart, schedule, CSV, and PDF outputs.
Frequently Asked Questions
1. What is an annuity due?
An annuity due is a series of equal payments made at the beginning of each period. Rent, lease payments, and some savings plans use this timing.
2. How is annuity due different from an ordinary annuity?
An ordinary annuity pays at the end of each period. An annuity due pays at the beginning, so each payment earns interest for one extra period.
3. Why do payment frequency and compounding frequency matter?
They change the effective rate applied to each deposit. Different timing assumptions can noticeably change the final accumulated value.
4. What happens if the interest rate is zero?
The future value becomes the sum of all contributions. No growth occurs, so the ending balance equals deposits plus any initial balance.
5. Can I use monthly deposits with quarterly compounding?
Yes. This calculator converts the quoted annual rate into an equivalent rate per payment period, so mixed timing assumptions are supported.
6. What does inflation adjusted value mean?
It estimates what the future balance is worth in today’s purchasing power. This helps compare nominal growth with real buying strength.
7. Why might the schedule differ from the simple formula?
The closed form assumes fixed payments and a constant payment period rate. If payment growth is used, the page calculates balances period by period.
8. When is this calculator most useful?
It is useful for savings plans, education funds, sinking funds, retirement forecasting, and any recurring deposit pattern using beginning period payments.