Structure and Construction: What Bollinger Bands Encode
Bollinger Bands consist of three lines: a 20-period simple moving average (the middle band), an upper band at 2 standard deviations above the SMA, and a lower band at 2 standard deviations below. The bands widen when volatility increases (the standard deviation expands) and narrow when volatility contracts. Statistically, approximately 95% of closing prices should fall within the upper and lower bands over time, assuming normally distributed returns. The adaptive width is the key feature: unlike fixed percentage envelopes, Bollinger Bands automatically calibrate to the current volatility regime.
Bandwidth — the distance between upper and lower bands divided by the middle band — is a normalized volatility metric. Low bandwidth indicates a period of volatility compression (the market is not moving much). High bandwidth indicates an expansion of volatility. The practical significance: low bandwidth periods (the Bollinger squeeze) tend to precede significant directional moves as compressed volatility releases. This is not a directional signal — it does not tell you which way the move will go — but it signals that a move of substance is likely coming.
Upper Band = SMA(20) + 2 × StdDev(20)
Lower Band = SMA(20) - 2 × StdDev(20)
Bandwidth = (Upper - Lower) / Middle Band