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Philosophy · Risk

cattāri ariyasaccāni

The Four Noble Truths of Risk.

Suffering, its origin, its cessation, and the path that leads there — read as the discipline of losing less.

ISutra

Now this is the noble truth of suffering.

Now this is the noble truth of the origin of suffering.

Now this is the noble truth of the cessation of suffering.

Now this is the noble truth of the practice that leads to the cessation of suffering.

— SN 56.11:4.1, 4.3, 4.6, 4.8 · Rolling Forth the Wheel of Dhamma · Linked Discourses (Saṃyutta Nikāya)

Translated by Bhikkhu Sujato (CC0), as published on SuttaCentral 11 Nov 2026

IISuffering

dukkha

Losses are real.

Every strategy loses, and losses compound against you: the deeper the fall, the steeper the climb back. Risk is not a footnote to return — it is the first thing we measure.

gain needed = L / (1 − L)
Proof · losses are asymmetricIllustrative
0%100%200%300%400%symmetric intuition−10% → +11%−25% → +33%−50% → +100%−75% → +300%0−20%−40%−60%−80%loss L → gain needed to recover
The gain needed to recover from a loss L is L / (1 − L). A 10% loss needs 11% back; a 50% loss needs 100%; a 75% loss needs 300%. The arithmetic is not symmetric, which is why the first truth of risk is that losses are real — and why limits come before returns. Exact arithmetic, not data.

IIIOrigin

samudaya

Losses have an origin.

Large losses rarely come from nowhere. They come from three places we can name in advance.

  • Leverage — driven by greed — size that assumes tomorrow looks like the best of yesterday.
  • Overfitting — models that memorised noise and call it structure.
  • Correlation — assets that fall together exactly when diversification is needed.
σp² = ΣiΣj wiwjρijσiσj →  (Σ wiσi)² as ρ → 1

IVCessation

nirodha

Losses can be stopped.

A loss that has a limit is a cost; a loss without one is a catastrophe. Every position, strategy and book carries a maximum loss set before it trades, and the system — not hope — enforces it.

if DDt ≥ limit  ⇒  wt+1 = 0

VPath

magga

Risk control is a practice.

Not a department, a sequence we run every day:

  • Measure — exposure, volatility, correlation and liquidity, from clean data.
  • Limit — size and loss budgets per position, strategy and book.
  • Monitor — live versus expected behaviour, continuously.
  • Act — cut, hedge or retire automatically when a limit is touched.
  • Review — every breach is logged, explained and fed back into research.