Drawdown Recovery Math: Why Losses Cost More Than They Look

Lose 10%, then make 10%, and you are not back. A $100,000 account that drops to $90,000 and then gains 10% sits at $99,000, still a thousand dollars short. The percentages sound symmetrical; the money is not. That quiet asymmetry, applied to every loss you will ever take, is the strongest argument for trading small that exists.

Why the maths is lopsided

A loss and its recovery are measured from different bases. The fall is a percentage of the bigger number, the climb a percentage of the smaller one, so the climb always needs more. The formula: required gain = drawdown / (1 minus drawdown). Down 20% means 0.20 divided by 0.80, a 25% climb just to touch the old high.

The recovery table

The table has two regimes. Below roughly 10% sits the shallow zone, where recovery costs about what the loss did and a drawdown is an inconvenience. Past 20% the curve bends viciously: a third of the account gone demands a 43% run, and a halved account must double just to be whole. Nobody plans to visit the lower rows. Traders arrive there through position sizes that made a normal losing streak deep, which is why the escape route is position sizing, not recovery heroics.

The cost measured in trades

Percentages hide workload, so price the recovery in trades. Take a solid trader: 0.5% risk per trade, 1:2 ratio, 45% win rate. Expectancy is 0.45 x 1.0% minus 0.55 x 0.5%, about 0.175% per trade.

• From 5% down: a 5.3% climb, about 30 trades of average performance.
• From 10% down: 11.1%, about 63 trades.
• From 20% down: 25%, about 143 trades.

Doubling the drawdown more than doubles the workload, and these are average-case figures; the recovery period will contain its own losing streaks. A trader who caps damage at 5% is always about thirty trades from a new high. One who visits 20% owes the market a hundred and forty average trades before the account earns anything new.

The tilt multiplier

The instinctive response to drawdown makes the table worse. Doubling size to recover in half the trades doubles the variance at the exact moment the buffer is thinnest; one normal streak at doubled size moves you two or three rows down the table, into the regime where recovery stops being realistic. That loop of losing, enlarging and losing deeper is the mechanical core of blown accounts.

Professionals run the ladder the other way:

• At 3% down: halve the per-trade risk.
• At 5% down: halve it again and cut the number of trades per day.
• Back at the high-water mark: restore normal size.

Cutting size in drawdown makes the deep rows nearly unreachable, because each further step requires ever more losers to reach. The cost is a slower climb; the purchase is still being there to climb.

Funded accounts delete the deep end

On a funded account most of the table is academic. FFUNDED max loss limits are static and sit between 6% and 10% of starting balance depending on plan, so the account ends long before the truly brutal rows. Your entire trading life happens at the top of the table, and personal risk rules have to operate well inside the official ones, a layering explained in prop firm drawdown explained.

There is a genuine consolation in the static design. Because the lines do not trail equity upward, every banked gain adds distance between you and the limit, so a drawdown after a good run starts further from termination than the same drawdown on day one.

The account is simulated and its capital virtual; what a breach actually ends is the real payout stream. Keeping drawdowns shallow is not only recovery maths, it is the practical core of passing an evaluation and of keeping the account that pays.

Frequently asked questions

Why does a 10% loss need 11.1% to break even?

Because the recovery is measured from the smaller base the loss left behind. Falling from $100,000 to $90,000 is 10%, but the missing $10,000 is 11.1% of the $90,000 you now hold. The deeper the loss, the smaller the base and the larger the required percentage.

Should I increase size to recover a drawdown faster?

No. Bigger size raises variance exactly when your buffer is smallest, so an ordinary streak can push a recoverable drawdown into the steep part of the curve. Standard professional practice is the opposite: reduce size in drawdown and restore it at the high-water mark.

How much drawdown is acceptable before cutting size?

Work backwards from the line you cannot cross rather than forwards from a universal number. At 0.5% risk per trade, halving risk after a 3% drawdown means six further full losers still leaves you only around 4.5% down, inside every FFUNDED max loss line. Build the ladder so normal streaks cannot reach the limit.

Does static drawdown change recovery maths?

The percentage maths never changes, but static lines change the stakes. Because FFUNDED limits are fixed against starting balance and do not trail profits, banked gains widen your distance to the line, so a drawdown that begins after a winning stretch has more room to be recovered than one on day one.