OPEN-SOURCE SCRIPT
Log Return & Volatility Bands Indicator

**Log Return & Volatility Bands Indicator**
This Pine Script (v5) indicator for TradingView translates the log-transformation and volatility-tracking concepts used in quantitative finance (such as GARCH modeling) directly onto your chart.
**Key Features:**
* **Logarithmic Returns:** Calculates daily log returns ($\ln(P_t / P_{t-1})$) behind the scenes to accurately measure relative price changes, removing the distorting effect of long-term exponential trends.
* **Annualized Volatility:** Computes the rolling standard deviation of these log returns over a user-defined period, scaling it by the square root of trading days ($\sqrt{252}$) to display annualized market volatility percentage.
* **Volatility Channels:** Plots dynamic upper and lower bands around a Simple Moving Average (SMA) of the price to help identify market breakouts, periods of high uncertainty, and potential mean-reversion points.
**How to Use:**
1. Open TradingView and load your preferred ticker (e.g., **NASDAQ:MU**).
2. Open the **Pine Editor**, paste the script, and click **Add to Chart**.
3. Adjust the length and multiplier parameters in the indicator settings to match your preferred trading timeframe and risk tolerance.
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.