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Risk of Ruin

Trading Intelligence

9 min read

riskOfRuin

Compute the probability of account wipeout given your win rate, payoff ratio, and risk per trade to ensure long-term survival.

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Every edge can fail if you risk too much. This is the math that tells you how likely it is to survive long enough to win.


Introduction

You’ve got a system. You’ve got a positive edge. You’ve got your journal full of +0.5R and +2R wins.

But there’s a lurking question every pro eventually faces:

❓ “How likely am I to lose so much in a row that I can’t recover?”

That’s what Risk of Ruin (RoR) answers — mathematically.

And if you’re trading without knowing it?

You may be optimizing toward performance — but gambling with survival.

Let’s fix that.


What Is Risk of Ruin (RoR)?

Risk of Ruin is the probability that your account hits a critical loss level (e.g. 50%, 80%, 100%) before recovery.

In other words:

  • How likely you are to blow up — even if your system is profitable
  • Or how likely your edge fails to survive the variance

This isn't fear-mongering — it’s pure math.


What Influences Your RoR?

  1. Win rate
  2. Risk/reward ratio (R:R)
  3. Risk per trade (% of account)
  4. Starting capital
  5. Acceptable drawdown threshold
  6. Variance / streak distribution

Even with a solid edge, risking too much can guarantee failure over time.


How to Estimate Your Risk of Ruin

✳️ Basic Formula (Conservative Estimate)

For fixed fractional risk and symmetrical outcomes:

RoR ≈ [(1 – Edge) / (1 + Edge)] ^ (Capital / Risk per trade)

Where:

  • Edge = (Win rate × Avg win) – (Loss rate × Avg loss)
  • Capital = % of account you're willing to lose before quitting
  • Risk per trade = % of account per trade

Let’s break it down with an example.


Example:

  • Win rate = 45%
  • Avg win = 2R
  • Avg loss = 1R
  • Edge = (0.45×2) – (0.55×1) = +0.35R per trade
  • Capital = 100%
  • Risk per trade = 2%

Now estimate:

RoR ≈ [(1 – 0.35) / (1 + 0.35)] ^ (100 / 2)
RoR ≈ (0.65 / 1.35)^50
RoR ≈ (0.481)^50 ≈ 0.00000008 → effectively **0%**

With a good edge and conservative risk, your chance of ruin is nearly zero.


What Happens When You Overrisk?

Try 10% risk per trade instead of 2%:

(0.481)^(100 / 10) = (0.481)^10 ≈ 0.0025 → RoR = **0.25%**

Now imagine 30% risk per trade: → RoR skyrockets → You’re essentially guaranteed to blow up within a small sample.

Edge doesn’t matter if your size is too big.


Monte Carlo Simulation (Optional/Advanced)

Monte Carlo simulates thousands of trade sequences using your stats, generating:

  • Worst-case drawdowns
  • Losing streak distributions
  • Probability of hitting a certain loss % over N trades

Useful for:

  • Stress testing your system
  • Seeing RoR under realistic streak noise
  • Designing size and stop rules based on max loss tolerance

We can build this in later posts/tools if you’d like.


Best Practices to Minimize RoR

PrincipleRecommendation
Use fixed % risk per trade0.5%–1.5% for most systems
Know your EV and varianceFrom backtest or real journaled data
Simulate worst streaksUse rolling drawdowns or MC simulation
Accept a soft stop thresholdPause at 15–20% drawdown, reduce size
Re-validate after 100+ tradesEdge may decay, RoR must adapt

Final Thought

Risk of Ruin is the math behind why traders who “almost made it” disappear.

Don’t assume your edge will save you — design your risk so it survives long enough to matter.

Let others blow up trying to make 5% a day. You’ll still be here in 5 years — compounding confidently.