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risk-management

Risk of Ruin Calculator

Simulate probability of account bankruptcy based on edge, win rate, and risk per trade.

Capital Risk Gaugelow Risk (1.5%)

Professional trade parameters advise risking at most 1% to 2% of equity per transaction.

Statistical Risk of Ruin
< 0.01%
Calculated Edge+0.375
Account Buffer Units67 Consecutive Stops
Win Probability55%
Robust mathematical edge. Risk of account wipeout is negligible under disciplined sizing.

How the Calculation Works

Step 1: Input Valuation

Read parameters and compute total exposure: multiply order quantity by contract unit multiplier.

Step 2: Payoff & Boundary Evaluation

Evaluate terminal return at the selected target price using strict financial mathematical boundary logic.

Step 3: Frictional & Premium Netting

Deduct upfront capital commitments, taxes, or net debits to produce final net profit or loss realization.

Calculation Formula

Ruin Probability = [(1 - Edge) / (1 + Edge)]^(Capital Units)

Example Calculation

55% win rate, 1.5 payoff ratio, and 2% risk per trade.

Outcome: Mathematical Edge: +0.375 | Statistical Risk of Ruin: < 0.01%

With positive mathematical expectancy and conservative 2% risk, probability of ruin is statistically negligible.

Assumptions & Parameters

  • Assumes independent, identically distributed trade outcomes with constant win rate and payoff ratio.

Frequently Asked Questions

What is the risk of ruin in trading?

Risk of ruin is the mathematical probability that a trading system will result in total account bankruptcy over time.

How does win rate affect risk of ruin?

Higher win rates significantly reduce risk of ruin, provided average losses do not excessively exceed average wins.

Why can a system with a positive win rate still go bankrupt?

If position sizing is too aggressive (e.g., risking 15% per trade), a string of consecutive losses can wipe out equity.

What role does the payoff ratio play?

A high payoff ratio allows a trading system to remain safe and profitable even with a win rate below 50%.

How does position sizing impact risk of ruin?

Lowering risk per trade (e.g., from 5% to 1%) exponentially decreases statistical risk of ruin.

What edge is needed to eliminate risk of ruin?

A positive mathematical expectancy combined with conservative risk-budget allocation keeps ruin probability near zero.