Sigma (σ)

Standard deviation. Measures how wide the simulated terminal distribution is.

σ (sigma) is the standard deviation of a distribution. In the Monte Carlo panel it's the standard deviation of the terminal price across all 20,000 paths, reported in dollars.

Under a normal-distribution assumption (loose approximation):

  • Roughly 68% of paths end within ±1σ of the mean.
  • Roughly 95% end within ±2σ.

Practically: σ is the radius of the cone. Larger σ means more uncertainty about the terminal price — usually driven by higher IV, longer horizon, or weaker GEX containment.

This is the same σ used in the Expected Move cone on OHLC charts — but the MC version is computed from the simulated distribution rather than from a closed-form log-normal formula, so it already includes the GEX warping.

See also: Monte Carlo Simulator, Expected Move Cone, Percentile (p10 / p50 / p90)


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