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Bband, Ccv, Ce, Cv, Cvi, Ewma, Fcb, Gkv, Hlv
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// GKV: Garman-Klass Volatility
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/// An efficient estimator of volatility that uses open, high, low,
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/// and close prices to capture intraday price movements.
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/// </summary>
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/// <remarks>
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/// The GKV calculation process:
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/// 1. Calculate components using OHLC prices
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/// 2. Combine components using optimal weights
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/// 3. Take rolling average over period
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/// 4. Annualize and convert to percentage
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///
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/// Key characteristics:
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/// - More efficient than close-to-close volatility
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/// - Uses full OHLC price information
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/// - Default period is 20 days
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/// - Annualized by default
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/// - Expressed as a percentage
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///
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/// Formula:
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/// u = ln(High/Low)²/2
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/// c = ln(Close/Open)²
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/// GKV = sqrt(sum((0.5*u - (2*ln(2)-1)*c) / period) * 252) * 100
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///
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/// Market Applications:
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/// - Volatility estimation
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/// - Risk measurement
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/// - Option pricing
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/// - Trading strategy development
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/// - Market analysis
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///
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/// Sources:
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/// Garman and Klass (1980)
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/// Journal of Business 53(1): 67-78
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///
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/// Note: Returns annualized volatility as a percentage
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Gkv : AbstractBase
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{
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private readonly int _period;
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private readonly bool _annualize;
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private readonly CircularBuffer _components;
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private readonly double _ln2;
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Gkv(int period = 20, bool annualize = true)
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{
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_period = period;
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_annualize = annualize;
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WarmupPeriod = period;
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Name = $"GKV({_period})";
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_components = new CircularBuffer(period);
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_ln2 = Math.Log(2);
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Init();
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}
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/// <param name="source">The data source object that publishes updates.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Gkv(object source, int period = 20, bool annualize = true) : this(period, annualize)
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{
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var pubEvent = source.GetType().GetEvent("Pub");
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pubEvent?.AddEventHandler(source, new BarSignal(Sub));
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public override void Init()
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{
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base.Init();
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_components.Clear();
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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_lastValidValue = Value;
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_index++;
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}
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining | MethodImplOptions.AggressiveOptimization)]
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protected override double Calculation()
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{
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ManageState(BarInput.IsNew);
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// Calculate components
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double u = Math.Log(BarInput.High / BarInput.Low);
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u = u * u / 2;
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double c = Math.Log(BarInput.Close / BarInput.Open);
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c = c * c;
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// Combine components with optimal weights
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double component = 0.5 * u - (2 * _ln2 - 1) * c;
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_components.Add(component);
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// Need enough values for calculation
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if (_index <= _period)
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{
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return 0;
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}
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// Calculate average component
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double avgComponent = _components.Average();
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// Calculate volatility
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double volatility = Math.Sqrt(avgComponent);
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// Annualize if requested
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if (_annualize)
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{
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volatility *= Math.Sqrt(252);
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}
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// Convert to percentage
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volatility *= 100;
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IsHot = _index >= WarmupPeriod;
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return volatility;
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}
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}
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