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Compounding Calculator

How a fixed monthly return compounds an account balance over time.

Inputs it asks for
Starting balance value
Monthly return % value
Months value
Formula shown · assumptions disclosed

What it computes

How a fixed monthly return compounds an account balance over time. The page states the equation, the units it expects and the rounding it applies, so the result can be reproduced by hand.

Where it sits in the chain

A calculator gives you a number. This one feeds the next: account to risk, risk to position size, position size to the trade, and the trade to expectancy, drawdown and risk of ruin.

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Inputs
Result
Ending balance $12,682
Total growth 26.8%
Assumes the stated return every month with no variance. Real returns vary, and drawdowns compound the same way in reverse.
Save this result to your dashboard. Save

The formula

final = principal × (1 + rate)^periods

Compounding is why drawdowns cost more than they appear: every period spent recovering is a period the exponent is not growing.

Worked example

$25,000 at 2% per month for 24 months:

final = 25,000 × 1.02^24
= 25,000 × 1.6084
= $40,211

A 2% monthly return is 26.8% annualised, not 24% — the difference is the compounding itself.

What it assumes

  • A constant return per period, which no strategy delivers. Real sequences with the same average produce a lower final figure when volatility is high.
  • No withdrawals, deposits, tax or fees.

Common questions

Is 2% a month realistic?

As a long-run average, rarely. It compounds to 26.8% a year, which is above what most professional managers sustain.

Why does volatility reduce compounded returns?

Because losses need larger gains to undo. A sequence of +50% and −50% averages zero but ends 25% down.

Should I compound or withdraw profits?

Compounding grows the account faster and grows the drawdowns with it, since position size scales with equity. Withdrawing fixes the loss in dollars and slows the growth. Neither is wrong; they are different objectives.

What to work out next

A calculator answers one question and raises the next. These are the ones this figure feeds into.

Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

Sharpe Ratio Calculator

Return per unit of volatility, and what the ratio does not tell you.

Expectancy Calculator

Average outcome per trade from win rate and average win and loss. The number win rate hides.

Compounding Calculator · rounding shown to the precision displayed

More in performance

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Sharpe Ratio Calculator

Return per unit of volatility, and what the ratio does not tell you.

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Expectancy Calculator

Average outcome per trade from win rate and average win and loss. The number win rate hides.

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Win Rate Calculator

Your hit rate, and the rate a given risk/reward needs before it earns anything.

Open →
Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

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Quantify the trade, then keep the record.