Compound Interest Calculator

See balances grow across months, quarters, or years. Add recurring contributions and annual step-ups fast. Get clear totals, interest earned, and exports instantly here.

Calculator Inputs

All fields support decimals. Rates are annual percentages.
Your initial amount invested or saved.
Nominal annual rate, before taxes and inflation.
More frequent compounding increases growth slightly.
Whole years for your plan.
Adds months beyond the whole years.
Controls the size of the displayed/exported schedule.
Periodic deposits you add while investing.
Set “No contributions” to model a lump-sum only.
Beginning deposits earn interest sooner.
Example: 5 increases deposits by 5% each year.
Example: 0.25 adds 0.25% to rate every year.
Applied only to positive interest earned.
Shows “real” ending value after inflation.
Affects display and exports.
Note: This tool is informational and not financial advice.

Example Data Table

These sample scenarios show how inputs affect growth.
Scenario Principal Rate Years Contribution Frequency Compounding Estimated Ending*
Lump sum $10,000 8% 10 $0 Monthly $21,900
Monthly saver $5,000 7% 15 $200 Monthly Monthly $74,000
Step-up deposits $2,000 9% 20 $150 Monthly (+5% yearly) Monthly $110,000
*Estimates shown for illustration; your exact output depends on settings like taxes, inflation, and timing.

Formula Used

For a fixed rate and fixed compounding, a lump sum grows as: FV = P × (1 + r/n)n·t, where P is principal, r is annual rate (decimal), n is compounds per year, and t is years.

With regular contributions, a common closed-form approximation is: FV = P(1 + r/n)n·t + PMT × (( (1 + r/n)n·t − 1 ) / (r/n)), and if contributions happen at the beginning of each period, multiply the PMT term by (1 + r/n).

This calculator uses a period-by-period schedule to support taxes, step-ups, rate changes, and timing options. Each month, it applies an effective monthly rate derived from your chosen compounding.

How to Use This Calculator

  1. Enter your starting principal and annual interest rate.
  2. Select how often interest compounds and your time horizon.
  3. Add a recurring contribution and choose its frequency and timing.
  4. Optionally include annual contribution changes, rate changes, taxes, and inflation.
  5. Click Calculate to view results and the schedule above the form.
  6. Use Download CSV or Download PDF to export your schedule.

How compounding frequency changes outcomes

Compounding controls how often interest is added to the balance. With the same nominal annual rate, more frequent compounding produces a slightly higher effective return because interest begins earning interest sooner. For example, at 10% nominal, annual compounding yields about 10.00% effective, while monthly compounding is about 10.47% effective. Over 20 years, even a small effective-rate difference can compound into a noticeable gap in the final balance, especially when paired with recurring deposits. Use the same horizon and deposits when comparing frequencies for a fair test.

Recurring contributions and timing effects

Contributions usually drive long-term results more than small compounding differences. A monthly deposit increases the invested base, which increases future interest. Timing matters: beginning-of-period deposits earn one extra period of growth versus end-of-period deposits. In a 15‑year plan with steady deposits, switching timing can add roughly one contribution’s worth of extra compounding, especially at higher rates. A 3% yearly step-up often offsets inflation and increases total invested capital.

Modeling step-ups and changing rates

Many savers increase deposits as income rises. The annual contribution change feature applies a yearly percentage step-up to your deposit amount, which can materially shift outcomes. The annual rate change input lets you test gradual rate drift, such as a laddered portfolio or changing market conditions. A small 0.25 percentage‑point change per year accumulates into meaningfully different schedules over long horizons.

Taxes and inflation for a clearer picture

Taxes reduce growth because they remove a portion of earned interest. This calculator applies tax only to positive interest for each period, then compounds the remaining net interest. Inflation is shown through a “real” ending balance, discounting the nominal result by your chosen inflation rate. Comparing nominal and real values helps you judge purchasing power, not just account balance. Inflation inputs help compare purchasing power.

Reading the schedule and using exports

The schedule breaks results into periods, showing starting balance, contribution, gross interest, tax, net interest, and ending balance. Use the monthly view for audits and cash‑flow planning, or yearly view for faster comparisons between scenarios. Export CSV for spreadsheets and budgeting, and export PDF for sharing a consistent, print‑ready summary with stakeholders.

FAQs

1) What does “nominal annual rate” mean here?

It is the stated yearly rate before compounding adjustments. The calculator converts it into an effective monthly rate based on your selected compounding frequency.

2) Why can the schedule differ from a simple formula?

Closed-form formulas assume constant rates and uniform deposits. This tool uses a period-by-period schedule to support taxes, deposit timing, step-ups, and rate changes.

3) Are contributions included in “Total Contributed”?

Yes. Total Contributed includes the starting principal plus all recurring contributions added over time, matching what you actually put into the account.

4) How is tax applied in the calculation?

Tax is calculated on positive interest earned in each period, then subtracted from gross interest to get net interest, which is the amount compounded forward.

5) What does the inflation-adjusted ending balance show?

It estimates the ending value in today’s purchasing power by discounting the nominal ending balance using your inflation rate across the full time horizon.

6) Which schedule view should I choose?

Use monthly for detailed tracking and verifying assumptions. Use yearly for a compact overview that is easier to compare across multiple what‑if scenarios.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.