OPEN-SOURCE SCRIPT

Log Return & Volatility Bands Indicator

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**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.

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