Improved Historical Volatility Calculator (No Options)

Improved Historical Volatility Calculator (No Options)
Description
The "Improved Historical Volatility Calculator (No Options)" is a Pine Script indicator designed to calculate the historical volatility (HV) of assets without relying on options data. This tool is particularly useful for markets like forex, indices, or stocks where options trading might be limited or unavailable. It provides a customizable way to measure volatility based on historical price movements, with options to adjust the calculation period, trading days per year, and use an exponentially weighted moving average (EWMA) for enhanced sensitivity to recent data.

This indicator can be used standalone to visualize volatility trends or integrated with other scripts (e.g., option pricing models) to provide a manual input for implied volatility (IV).

Features
Customizable Period: Adjust the number of days (5 to 365) for volatility calculation.
Flexible Annualization: Set the number of trading days per year (default 252) to suit different markets (e.g., 365 for forex).
EWMA Option: Toggle between standard deviation and EWMA for a more responsive volatility measure.
Trend Adjustment: Removes the influence of price trends using an EMA-based detrending method.
Visual Output: Displays volatility as a histogram and labels the latest value on the chart.
How to Use
Add the Indicator: Load the indicator onto your chart via the Pine Script editor or the Indicators menu.
Configure Settings:
Period for Calculation: Set the lookback period (e.g., 30 days) to calculate volatility.
Trading Days per Year: Adjust for your market (e.g., 252 for stocks, 365 for continuous markets).
Use EWMA: Enable for a weighted approach focusing on recent volatility.
Interpret the Results: The histogram shows volatility in decimal form (e.g., 0.03136 = 3.136%), and the label displays the percentage on the last bar.
Integration: Use the calculated volatility value (in decimal form) as a manual IV input in other scripts, such as option pricing models.
Example
For the DXY index, with a 60-day period and 252 trading days per year, the indicator might output a volatility of 0.03136 (3.136%). You can input this value into an options model to estimate standard deviation levels, adjusting for the days to expiry.

Notes
Accuracy: The indicator provides a reliable estimate of historical volatility, with improvements like trend removal and EWMA. For precision, use a period that matches your trading horizon (e.g., 30-90 days).
Limitations: Volatility is based on historical data and may not reflect future market conditions or implied volatility from options.
Compatibility: Tested on TradingView as of June 16, 2025. Ensure sufficient historical data is available for the chosen period.

Suggestions
Increase the period for volatile assets to smooth out noise.
Share feedback or request enhancements in the comments!