# High/Low Historical Volatility Bands [Loxx]

Updated
High/Low Historical Volatility Bands are constructed using:

• Average as the middle line.
• Upper and lower bands using the Historical Volatility high/low (instead of "regular" Historical Volatility) for bands calculation.

What is Historical Volatility?
Historical Volatility (HV) is a statistical measure of the dispersion of returns for a given security or market index over a given period of time. Generally, this measure is calculated by determining the average deviation from the average price of a financial instrument in the given time period. Using standard deviation is the most common, but not the only, way to calculate Historical Volatility .

The higher the Historical Volatility value, the riskier the security. However, that is not necessarily a bad result as risk works both ways - bullish and bearish , i.e: Historical Volatility is not a directional indicator and should not be used as other directional indicators are used. Use to to determine the rising and falling price change volatility .

• SH is stock's High price in t day.
• SL is stock's Low price in t day.
• High/Low Return (xt^HL) is calculated as the natural logarithm of the ratio of a stock's High price to stock's Low price.
• Return:
• And Parkinson's number: 1 / (4 * math.log(2)) * 252 / n * Σ (n, t =1) {math.log(Ht/Lt)^2}

An important use of the Parkinson's number is the assessment of the distribution prices during the day as well as a better understanding of the market dynamics. Comparing the Parkinson's number and periodically sampled volatility helps traders understand the tendency towards mean reversion in the market as well as the distribution of stop-losses.

The color of the middle line, unlike the bands colors, has 3 colors. When colors of the bands are the same, then the middle line has the same color, otherwise it's white.

Included
• Signals
• Loxx's Expanded Source Types
• Bar coloring

Related indicators:
Parkinson's Historical Volatility Bands

Historical Volatility Bands
Release Notes:
Small UI fix.
Release Notes:
Updated to work with all timeframes and all tickers.
Release Notes:
Another update to functions.
Release Notes:
Corrected small error on division.