OPEN-SOURCE SCRIPT
Historical Volatility with HV Average & High/Low Trendlines

### 📊 **Indicator Title**: Historical Volatility with HV Average & High/Low Trendlines
**Version**: Pine Script v5
**Purpose**:
This script visualizes market volatility using **Historical Volatility (HV)** and enhances analysis by:
* Showing a **moving average** of HV to identify volatility trends.
* Marking **high and low trendlines** to highlight extremes in volatility over a selected period.
---
### 🔧 **Inputs**:
1. **HV Length (`length`)**:
Controls how many bars are used to calculate Historical Volatility.
*(Default: 10)*
2. **Average Length (`avgLength`)**:
Number of bars used for calculating the moving average of HV.
*(Default: 20)*
3. **Trendline Lookback Period (`trendLookback`)**:
Number of bars to look back for calculating the highest and lowest values of HV.
*(Default: 100)*
---
### 📈 **Core Calculations**:
1. **Historical Volatility (`hv`)**:
$$
HV = 100 \times \text{stdev}\left(\ln\left(\frac{\text{close}}{\text{close}[1]}\right), \text{length}\right) \times \sqrt{\frac{365}{\text{period}}}
$$
* Measures how much the stock price fluctuates.
* Adjusts annualization factor depending on whether it's intraday or daily.
2. **HV Moving Average (`hvAvg`)**:
A simple moving average (SMA) of HV over the selected `avgLength`.
3. **HV High & Low Trendlines**:
* `hvHigh`: Highest HV value over the last `trendLookback` bars.
* `hvLow`: Lowest HV value over the last `trendLookback` bars.
---
### 🖍️ **Visual Plots**:
* 🔵 **HV**: Blue line showing raw Historical Volatility.
* 🔴 **HV Average**: Red line (thicker) indicating smoothed HV trend.
* 🟢 **HV High**: Green horizontal line marking volatility peaks.
* 🟠 **HV Low**: Orange horizontal line marking volatility lows.
---
### ✅ **Usage**:
* **High HV**: Indicates increased risk or potential breakout conditions.
* **Low HV**: Suggests consolidation or calm markets.
* **Cross of HV above Average**: May signal rising volatility (e.g., before breakout).
* **Touching High/Low Levels**: Helps identify volatility extremes and possible reversal zones.
Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.
Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.