What a Single 3.07x Hides: From Mechanism to Distribution
Part 5 reported that under the September 4 market state, a -5% shock becomes -15.4% — a 3.07x amplification. A reader pushed back with the most useful question of the series: "the aftermath should be non-linear and uncertain — a probability distribution of outcomes, not a single number." They are right. This article is the answer: V9-P4 wraps the mechanism in a Monte Carlo shell, and the single…
In the September 4 market state, a -5% shock becomes -15.4%, which is a three-fold amplification. However, the aftermath should be non-linear and uncertain, represented by a probability distribution of outcomes rather than a single number. The article explores how a single 3.07x amplification is the median of a distribution that extends to -32%.
The mechanism behind this amplification is deterministic and reproducible, but the inputs, such as net_gamma and the shock size, are estimated and scenario-based, not observed. The article proposes a fix to make these assumptions explicit as a distribution, resulting in an output that shows the distribution of outcomes and an exceedance-probability curve.
This approach provides a more comprehensive view of the potential risks and tail events, moving away from a single-number forecast.
Written by urgent.news from Dev.to's reporting — not their text. Machine-written — may contain errors; check the original before relying on it.
