Forex Maths & Physics

Volatility Clustering — Why Market Storms Travel in Packs

Here is a strange fact about markets: the direction of tomorrow's move is nearly impossible to predict, but the size of it is not. Big moves tend to be followed by big moves, and quiet days cluster together. Volatility has a memory even when returns do not. This is volatility clustering.

What you are seeing

Plot the daily returns of any major currency pair and you will notice long calm stretches punctuated by bursts of turbulence — around central-bank meetings, crises, or data shocks. The turbulence does not arrive as a single isolated spike; it arrives as a cluster that decays slowly.

The model: GARCH

The workhorse model is GARCH (Generalised Autoregressive Conditional Heteroskedasticity). Don't let the name scare you — the core equation is intuitive:

\[\sigma_t^2 = \omega + \alpha\,\varepsilon_{t-1}^2 + \beta\,\sigma_{t-1}^2\]

Today's variance σ²_t is built from three pieces: a baseline ω, a reaction to yesterday's shock ε²_{t-1} (the α term), and yesterday's volatility σ²_{t-1} (the β term). The β term is the memory — it makes volatility persistent.

Why it matters

Trading implications

You may not know *which way* the market will jump, but volatility clustering tells you *when it is likely to jump hard*. That alone is worth a great deal of risk control.

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