Calculator Inputs
Use the responsive three-column calculator grid on large screens, two on smaller screens, and one on mobile.
Example Data Table
These sample scenarios show how the calculator behaves with common payment frequencies and timing assumptions.
| Payment | Rate | Years | Payments/Year | Compounds/Year | Type | PV Factor | FV Factor | Present Value | Future Value |
|---|---|---|---|---|---|---|---|---|---|
| 1,000.00 | 6.00% | 5 | 12 | 12 | Ordinary | 51.7256 | 69.7700 | 51,725.56 | 69,770.03 |
| 500.00 | 8.00% | 10 | 4 | 4 | Due | 27.9026 | 61.6100 | 13,951.29 | 30,805.01 |
| 200.00 | 0.00% | 3 | 12 | 12 | Ordinary | 36.0000 | 36.0000 | 7,200.00 | 7,200.00 |
Formula Used
- r is the effective interest rate per payment period.
- n is the total number of payment periods.
- Ordinary annuity assumes payment at the end of each period.
- Annuity due assumes payment at the beginning of each period.
How to Use This Calculator
- Enter the periodic payment amount.
- Provide the annual nominal rate and total years.
- Select payment frequency and compounding frequency.
- Choose ordinary annuity or annuity due timing.
- Add an optional target amount to estimate required payments.
- Pick the number of decimals you want displayed.
- Press the calculate button to show results above the form.
- Use the CSV and PDF buttons to export your results.
Frequently Asked Questions
1) What is an annuity factor?
An annuity factor converts equal periodic payments into a lump-sum present value or future value. It saves time by combining interest and timing effects into one multiplier.
2) What is the difference between ordinary annuity and annuity due?
An ordinary annuity assumes payments happen at period end. An annuity due assumes payments happen at period start. Because each payment gets one extra period of growth or discounting, annuity due factors are larger.
3) Why can payment frequency differ from compounding frequency?
Loans and investments sometimes compound monthly while payments occur quarterly or weekly. This calculator converts the nominal rate into an effective payment-period rate, making the factor more realistic.
4) What happens when the interest rate is zero?
If the rate is zero, both the present value factor and future value factor equal the number of periods. Each payment carries the same weight because no growth or discounting occurs.
5) What does the target amount field do?
It helps estimate the periodic payment needed to reach a chosen present value or future value. The calculator shows separate required payments for each target interpretation.
6) Why are total periods rounded?
Annuity schedules need whole payment periods. If years multiplied by payments per year creates a fraction, the calculator rounds to the nearest full period and shows a note.
7) What does the Plotly graph show?
The graph shows cumulative present value and cumulative future value across periods. It helps you see how each additional payment changes total value over time.
8) Where is this calculator useful?
It is useful in maths, personal finance, retirement planning, rent analysis, sinking funds, tuition planning, and any situation involving equal recurring cash flows.