EGARCH Volatility Estimator

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EGARCH Volatility Estimator (EVE)
Overview:
The EGARCH Volatility Estimator (EVE) is a Pine Script indicator designed to quantify market volatility using the Exponential Generalized Autoregressive Conditional Heteroskedasticity (EGARCH) model. This model captures both symmetric and asymmetric volatility dynamics and provides a robust tool for analyzing market risk and trends.

Key Features:

Core EGARCH Formula:

ln(σ t 2 ​ )=ω+α(∣ϵ t−1 ​ ∣+γ⋅ϵ t−1 ​ )+β⋅ln(σ t−1 2 ​ )

ω (Omega): Captures long-term baseline volatility.
α (Alpha): Measures sensitivity to recent shocks.
γ (Gamma): Incorporates asymmetric effects (e.g., higher volatility during market drops).
β (Beta): Reflects the persistence of historical volatility.
The formula computes log-volatility, which is then converted to actual volatility for interpretation.

Standardized Returns:
The script calculates daily log-returns and standardizes them to measure deviations from expected price changes.

Percentile-Based Volatility Analysis:

Tracks the percentile rank of current volatility over a historical lookback period.
Highlights high, medium, or low volatility zones using dynamic background colors.
Dynamic Normalization:

Maps volatility into a normalized range ([0,1]) for better visual interpretation.
Uses color gradients (green to red) to reflect changing volatility levels.
SMA Integration:

Adds a Simple Moving Average (SMA) of either EGARCH volatility or its percentile for trend analysis.
Interactive Display:

Displays current volatility and its percentile rank in a table for quick reference.
Includes high (75%) and low (25%) volatility threshold lines for actionable insights.
Applications:

Market Risk Assessment: Evaluate current and historical volatility to assess market risk levels.
Quantitative Strategy Development: Incorporate volatility dynamics into trading strategies, particularly for options or risk-managed portfolios.
Trend and Momentum Analysis: Use normalized or smoothed volatility trends to identify potential reversals or breakouts.
Asymmetric Volatility Detection: Highlight periods where downside or upside volatility dominates.
Visualization Enhancements:

Dynamic colors and thresholds make it intuitive to interpret market conditions.
Percentile views provide relative volatility context for historical comparison.
This indicator is a versatile tool for traders and analysts seeking deeper insights into market behavior, particularly in volatility-driven trading strategies.

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Fixed expression errors and chart display issues,By default, SMA is displayed in percentage