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Risk before return: position sizing, drawdown and survival

4 min readAnalytical education; not personalized investment advice

Core philosophy

Risk management does not eliminate losses. It prevents one error or one adverse regime from becoming irrecoverable. Survival is a prerequisite for exploiting any genuine edge.

1) Set trade risk before position size

Define a logically valid invalidation distance first, then calculate size from the amount of capital you are willing to risk.

Formula
Risk Amount = Account Equity × Risk %
Formula
Position Size = Risk Amount / Risk per Unit

Choosing size first and moving the stop merely to fit a money number reverses the correct logic.

2) Drawdown is asymmetric

A 10% loss requires roughly 11.1% to recover; a 50% loss requires 100%.

Formula
Recovery Return = 1 / (1 - Drawdown) - 1

3) Look through correlated risk

Three positions are not necessarily three independent risks. Several risk assets exposed to the same liquidity factor can behave like one large trade.

4) Risk of ruin and losing sequences

Even positive-expectancy systems can experience long losing streaks. Excessive sizing increases the probability of reaching a capital level from which practical recovery becomes difficult.

5) Kelly sizing and why caution matters

Kelly provides a growth-optimal framework under specific assumptions, but it is highly sensitive to estimation error. In changing markets, full Kelly can be aggressive; fractional Kelly or explicit risk caps are more robust.

Note
There is no universally correct fixed risk percentage. Appropriate risk depends on strategy volatility, correlation, liquidity and drawdown tolerance.

Risk protocol

  • Per-trade risk cap
  • Portfolio concurrent-risk cap
  • Daily/weekly loss budget
  • Size reduction after drawdown
  • Pause rules for abnormal execution or regime shifts
  • No “revenge sizing” after losses
Exercise
Use the Nexito money-management calculator with three stop distances while holding risk amount constant. Observe how position size changes. Then model three correlated positions open at once.

Recommended books

Risk Management and Financial InstitutionsJohn C. Hull

A structured treatment of financial risk.

The Kelly Capital Growth Investment CriterionMacLean, Thorp & Ziemba

Advanced treatment of capital growth and sizing.

Takeaway

Professional risk means knowing in advance how much you lose if wrong, how many losses you can survive and when risk must be reduced.

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