Calculator

Compound Interest Calculator

Estimate how a starting balance and regular contributions may grow under chosen return, compounding, fee, and inflation assumptions.

Preparing calculator…

Definition and method

How compound interest works

Compound interest means that growth can be earned on the starting amount and on earlier growth. This calculator extends that idea with recurring contributions, contribution timing, fees, and inflation.

Use the inputs

  1. Enter a starting balance and any recurring contribution.
  2. Choose the duration, estimated annual return, and compounding frequency.
  3. Open advanced assumptions to set contribution timing, annual fees, and inflation.
  4. Compare the answer, charts, annual table, and assumptions rather than treating one result as a prediction.

Understand the textbook formula

A = P(1 + r/n)nt

A
future amount
P
starting principal
r
nominal annual rate
n
compounding periods per year
t
years

This familiar formula describes one principal without the calculator’s monthly cash-flow events. It is context, not a replacement implementation.

Exact calculator model

Monthly rate and event order

The engine converts the selected nominal annual rate to an equivalent monthly rate:

rm = (1 + r/n)n/12 − 1

  1. Start with the opening balance.
  2. Add a beginning-of-period contribution when one is due.
  3. Apply the equivalent monthly return.
  4. Deduct one-twelfth of the annual fee from the post-interest balance.
  5. Add an end-of-period contribution when one is due.
  6. Carry the closing balance into the next month.

Values retain full numeric precision inside the engine. Currency display is rounded to two decimal places only when shown. The inflation-adjusted ending balance discounts the modeled final balance using the entered constant inflation rate over the exact duration.

Engine-backed examples

A two-year worked example

Both examples below are generated by the live calculation engine, not by separately typed result arithmetic.

$1,000.00 at 5% for two years

With annual compounding, no contributions, no fee, and no inflation, the modeled ending balance is $1,102.50. Gross growth is $102.50.

Inputs: USD 1,000; 5% nominal annual return; annual compounding; 24 months; end timing; no contributions, fees, or inflation.

What monthly contributions change

Comparison generated by the calculator engine
ScenarioContributionsGrowthEnding balance
No contribution$0.00$102.50$1,102.50
$100 each month, at month end$2,400.00$218.38$3,618.38

The comparison changes only the recurring contribution amount. It does not predict future returns.

Interpretation

Assumptions, fees, inflation, and limits

Constant assumptions

Rates, fees, inflation, and contribution behavior are held constant. Markets and real household cash flows do not behave this way.

Fees and inflation

Fees are modeled monthly after growth. Inflation changes the purchasing-power comparison, not the nominal ending balance.

What is excluded

The model does not include taxes, volatility, sequence risk, exchange rates, product rules, insolvency, or personal circumstances.

United States intent: account tax treatment and securities rules vary; this calculator does not model federal or state tax. European intent: consumer disclosures, tax, deposit protection, and product rules vary by country; using EUR or a European number format does not determine jurisdiction.

Common questions

Frequently asked questions

Is this result a forecast?

No. It is an illustration using constant inputs. Real returns, fees, inflation, taxes, and cash flows can change.

What does compounding frequency change?

It changes how the nominal annual rate is converted to the monthly rate used by the ledger.

When are contributions added?

A contribution can be added at the beginning or end of a due month. That choice changes how soon it can earn modeled growth.

How are fees handled?

The entered annual fee rate is divided by twelve and deducted each month after interest, before any end-of-period contribution.

What is the inflation-adjusted balance?

It expresses the modeled final balance in present-value terms using your constant annual inflation assumption.

Does this include tax?

No. Tax rules vary by person, product, account, market, and jurisdiction, so tax is outside this calculator.

Does the site retain my inputs?

The current calculator runs in your browser. It has no account system and does not send inputs to an application database.

References and further reading

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