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Risk of ruin and why 0.5 to 1%

Streak probability at a real win rate, and how fast a streak eats a daily or max limit.

Risk of ruin and why 0.5 to 1% illustration

Why this matters

Losing streaks are not bad luck, they are arithmetic. At a 40% win rate a five loss run is common, and a nine loss run is not rare over a few hundred trades.

Risk per trade decides whether a normal streak is a pause or an elimination. At 5% per trade a nine loss run is a 45% hole in a 10% max drawdown account.

The fix is small and boring: keep risk per trade low enough that the streak you will actually meet cannot breach a limit.

A streak is a base rate, not a verdict

Streaks are the ordinary output of an honest loss percentage, and they arrive without warning about when. Over 100 trades at a 60% loss rate, plan for a handful of four and five loss runs, and a nine loss run is not an outlier worth panicking about.

The useful question is not whether a streak happens but how much equity it consumes when it does. Answer with multiplication, not feeling: streak length times risk percentage is the cost.

Log the streak length each time. Over months the observed lengths should match the predicted probabilities, which validates the sizing model. If they run longer, either the win rate estimate was optimistic or the loss size crept, and both are findable.

Reading the streak as information

When four losses land in a row, ask whether the thesis held and whether the stop was where structure wanted. If both are yes, it is variance: keep the process and keep the size.

If both are no, the streak is a signal about execution rather than the market, and the fix is procedural. Separating those two cases stops a normal run from triggering an unneeded strategy overhaul.

A streak reaching two thirds of the daily stop is a soft signal to cut the next day's size, not to stop the strategy.

Limits decide the number

On an evaluation the daily and max limits are the binding constraints, not your preference. They hand you a fixed budget of losses.

A 5% daily limit at 1% risk allows five losses. If normal days produce six, the limit fires before the day is done. At 0.5% the same limit allows ten, which most days will not reach, so the rule never decides the exit for you.

Treat limits as the first input when choosing a percentage, ahead of any profit ambition.

The cost has to fit

At $100,000 with a 10% max drawdown, 0.5% risk allows twenty losses before the limit and a normal nine loss run costs 4.5%. Recompute that ceiling at every new limit wording: a 6% max drawdown moves it to about 0.5%.

At $25,000 the percentage stays but the daily limit in money shrinks, so fewer losses fit per day. At $250,000 the money is larger and the structure identical. Account size is irrelevant, the ratio is the control.

Write the ceiling at the top of the journal so it is policy rather than a daily reconsideration. Review it only when a limit, an instrument or the strategy changes.

Why not martingale

Doubling after a loss pushes risk lowest when equity is highest and vice versa, but it compounds size against a streak. With a five loss run, the fifth trade risks sixteen times the first, and on a limited account that single trade decides everything.

A constant percentage never lets one trade outweigh the plan and needs no recovery logic.

Martingale also stacks badly with drawdown limits, because the largest position sits at the moment of deepest damage.

Why the low number is not slow

A small percentage still compounds: 0.5% over 200 trades is real progress, just gradual.

The slow rate is the point, because it leaves room for a bad month without forcing a mid-evaluation risk cut. It also tapers the size after losses automatically, since 0.5% of a smaller equity is smaller. The brake is built into the arithmetic.

Worked example

$100,000 account, 40% win rate so 60% per-trade loss chance, a 10% max drawdown and a 5% daily limit. Streak probabilities are exact, not estimates.

Chance of 3 losses in a row0.22%
Chance of 5 losses in a row0.08%
Chance of 9 losses in a row0.01%
Cost of a 9 loss run at 1% risk9.00%
Cost of the same run at 0.5%4.50%
Losses that use the whole 5% daily limit at 0.5%10
Losses that use it at 1%5
Losses that use the whole 10% max limit at 1%10

Row two says a 5 loss run happens about once in thirteen sets. At 1% it eats 5% of the account, the whole daily limit.

Common mistakes

Sizing off confidence instead of streak mathsFeeling hot at 3% risk means five losses cost 15%, past a 10% max drawdown, with no single trade looking reckless.
Treating a streak as a broken strategyAbandoning a working method on trade five of a normal run resets the sample before it can prove anything. A 20 trade sample needs 20 trades, so quitting at 5 throws away 15.
Ignoring the interaction of limitsA 5% daily and 10% max limit are close together. Three bad days at 3% risk ends the evaluation in a week.
Doubling after lossesMartingale sizing means the smallest risk is at the start and the largest after the streak has already hurt. By trade five the size is 16 times the first, so one later stop costs 16%.

Checklist

  • Know your honest win rate from the journal, not from memory.
  • Compute the chance of a 5 loss run at that win rate.
  • Multiply by risk per trade; is it inside the max limit.
  • Stay at or under 1%; go to 0.5% if the max limit is tight under 10%.
  • Set a hard daily stop equal to the daily limit, not a feel.
  • Accept that streaks are the base rate, not an event.
  • Reduce size if the run of losses reaches two thirds of the daily stop.

Key terms

risk of ruin
The probability a sizing plan ends the account or the evaluation.
loss rate
The share of trades that lose, the inverse of the win rate.
daily limit
The firm or self imposed maximum loss in one day.
drawdown
The fall from an equity peak.

Self-check

Why does a 60% loss rate matter more than the win rate?

Risk of ruin is driven by how often you lose. The loss probability is the number you plug into the streak maths.

At 40% wins, is a five loss run unusual?

No. It is around 7.8% per attempt, so it should be expected several times in a hundred trades.

What does a 5% daily limit allow at 0.5% risk?

Ten losses. That is more than a normal day will produce, so the limit is survivable.

Why not always use 0.2%?

It survives everything but progress stalls, and an evaluation has a target inside a time window.

What should change if the max drawdown is only 6%?

Risk per trade falls, to around 0.5%, because the limit few losses in a row is shorter.

Trading involves risk. Educational only, not advice. Mark it complete to bank progress.

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