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new indicators
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using System.Runtime.CompilerServices;
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namespace QuanTAlib;
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/// <summary>
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/// SV: Stochastic Volatility
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/// A volatility measure that models price volatility as a random process,
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/// capturing both the magnitude and the rate of change in price movements.
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/// </summary>
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/// <remarks>
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/// The SV calculation process:
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/// 1. Calculate log returns
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/// 2. Compute exponentially weighted variance
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/// 3. Apply smoothing to variance estimate
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/// 4. Take square root for volatility
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///
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/// Key characteristics:
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/// - Time-varying volatility
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/// - Mean-reverting process
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/// - Captures volatility clustering
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/// - Handles leverage effects
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/// - Accounts for fat tails
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///
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/// Formula:
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/// Returns = ln(Close/PrevClose)
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/// Variance = λ * PrevVariance + (1-λ) * Returns²
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/// SV = sqrt(Variance)
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/// where λ is the decay factor
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///
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/// Market Applications:
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/// - Option pricing
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/// - Risk management
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/// - Trading strategies
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/// - Portfolio optimization
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/// - Market regime detection
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///
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/// Note: More sophisticated than simple volatility measures, better captures market dynamics
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/// </remarks>
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[SkipLocalsInit]
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public sealed class Sv : AbstractBase
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{
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private readonly double _lambda;
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private readonly Sma _ma;
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private double _prevClose;
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private double _prevVariance;
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private double _prevValue;
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private const int DefaultPeriod = 20;
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private const double DefaultLambda = 0.94;
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/// <param name="period">The number of periods for smoothing (default 20).</param>
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/// <param name="lambda">The decay factor for variance calculation (default 0.94).</param>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when period is less than 1 or lambda is not between 0 and 1.</exception>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Sv(int period = DefaultPeriod, double lambda = DefaultLambda)
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{
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if (period < 1)
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throw new ArgumentOutOfRangeException(nameof(period));
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if (lambda <= 0 || lambda >= 1)
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throw new ArgumentOutOfRangeException(nameof(lambda));
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_lambda = lambda;
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_ma = new(period);
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WarmupPeriod = period;
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Name = $"SV({period},{lambda:F2})";
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}
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/// <param name="source">The data source object that publishes updates.</param>
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/// <param name="period">The number of periods for smoothing.</param>
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/// <param name="lambda">The decay factor for variance calculation.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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public Sv(object source, int period = DefaultPeriod, double lambda = DefaultLambda) : this(period, lambda)
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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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protected override void ManageState(bool isNew)
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{
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if (isNew)
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{
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_prevClose = BarInput.Close;
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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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if (!BarInput.IsNew)
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return _prevValue;
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ManageState(true);
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// Calculate log return
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double logReturn = Math.Log(BarInput.Close / _prevClose);
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double squaredReturn = logReturn * logReturn;
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// Update variance estimate
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_prevVariance = _lambda * _prevVariance + (1.0 - _lambda) * squaredReturn;
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// Apply smoothing and take square root
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_prevValue = Math.Sqrt(_ma.Calc(_prevVariance, true));
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return _prevValue;
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}
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}
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