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Trading outcomes are shaped by distributions, sequences, and compounding—not by a single trade. This section uses simulations and structured examples to make those behaviors easier to see.

Risk experiments

The mathematics of drawdown

Understand how losses compound and why recovery becomes progressively harder.

How losing streaks behave

Explore why normal variance can produce uncomfortable sequences of losses.

Risking 1% vs 5% per trade

Compare account survival and drawdown behavior under two risk levels.

Accounting for correlated risk

See how several positions can create one concentrated exposure.

Simulations

Monte Carlo simulation

Use repeated random paths to estimate the range of plausible system outcomes.

Can a 40% win rate be profitable?

Test how payoff size changes the meaning of win rate.

Random entry and risk control

Separate loss control from the positive expectancy required for profitability.

Data insights

Why accounts blow up

Examine leverage, escalation, concentration, and missing limits.

Compounding gains and losses

Understand asymmetric recovery after percentage drawdowns.

Consistency vs prediction

See why stable execution is necessary to measure a strategy.

How to read the research

Worked examples expose their assumptions and are designed to teach mechanisms. They are not forecasts. For publication standards and sourcing, see the editorial methodology.
Simulations explain ranges and probabilities. They do not predict the exact path of a live trading account.