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Binomial Option Pricing Model

This module calculates the theoretical price of an option using a two-step binomial tree. It supports American or European styles and call or put types across different asset classes. Volatility is estimated through the standard deviation of closing prices.

No trading signals are produced; the strategy logs the calculated option price for each finished candle.

Details

  • Function: Option pricing (no trades)
  • Parameters: Strike Price, Risk Free Rate, Dividend Yield, Asset Class, Option Style, Option Type, Minutes/Hours/Days to expiry, Timeframe
  • Indicators: Standard Deviation
  • Long/Short: N/A
  • Stops: None
using System;
using System.Collections.Generic;

using Ecng.Common;

using StockSharp.Algo.Indicators;
using StockSharp.Algo.Strategies;
using StockSharp.BusinessEntities;
using StockSharp.Messages;

namespace StockSharp.Samples.Strategies;

/// <summary>
/// Binomial Option Pricing Model strategy.
/// Uses EMA crossover as the core momentum signal.
/// Enters long on golden cross, short on death cross.
/// </summary>
public class BinomialOptionPricingModelStrategy : Strategy
{
	private readonly StrategyParam<int> _fastEmaPeriod;
	private readonly StrategyParam<int> _slowEmaPeriod;
	private readonly StrategyParam<DataType> _candleType;

	private decimal _prevFastEma;
	private decimal _prevSlowEma;

	public int FastEmaPeriod { get => _fastEmaPeriod.Value; set => _fastEmaPeriod.Value = value; }
	public int SlowEmaPeriod { get => _slowEmaPeriod.Value; set => _slowEmaPeriod.Value = value; }
	public DataType CandleType { get => _candleType.Value; set => _candleType.Value = value; }

	public BinomialOptionPricingModelStrategy()
	{
		_fastEmaPeriod = Param(nameof(FastEmaPeriod), 120)
			.SetGreaterThanZero()
			.SetDisplay("Fast EMA", "Fast EMA period", "Indicators");

		_slowEmaPeriod = Param(nameof(SlowEmaPeriod), 450)
			.SetGreaterThanZero()
			.SetDisplay("Slow EMA", "Slow EMA period", "Indicators");

		_candleType = Param(nameof(CandleType), TimeSpan.FromMinutes(1).TimeFrame())
			.SetDisplay("Candle Type", "Type of candles to use", "General");
	}

	/// <inheritdoc />
	public override IEnumerable<(Security sec, DataType dt)> GetWorkingSecurities()
	{
		return [(Security, CandleType)];
	}

	/// <inheritdoc />
	protected override void OnReseted()
	{
		base.OnReseted();
		_prevFastEma = 0m;
		_prevSlowEma = 0m;
	}

	/// <inheritdoc />
	protected override void OnStarted2(DateTime time)
	{
		base.OnStarted2(time);

		var fastEma = new ExponentialMovingAverage { Length = FastEmaPeriod };
		var slowEma = new ExponentialMovingAverage { Length = SlowEmaPeriod };

		var subscription = SubscribeCandles(CandleType);
		subscription
			.Bind(fastEma, slowEma, ProcessCandle)
			.Start();

		var area = CreateChartArea();
		if (area != null)
		{
			DrawCandles(area, subscription);
			DrawIndicator(area, fastEma);
			DrawIndicator(area, slowEma);
			DrawOwnTrades(area);
		}
	}

	private void ProcessCandle(ICandleMessage candle, decimal fastEmaValue, decimal slowEmaValue)
	{
		if (candle.State != CandleStates.Finished)
			return;

		if (_prevFastEma == 0m || _prevSlowEma == 0m)
		{
			_prevFastEma = fastEmaValue;
			_prevSlowEma = slowEmaValue;
			return;
		}

		if (_prevFastEma <= _prevSlowEma && fastEmaValue > slowEmaValue && Position <= 0)
		{
			BuyMarket();
		}
		else if (_prevFastEma >= _prevSlowEma && fastEmaValue < slowEmaValue && Position >= 0)
		{
			SellMarket();
		}

		_prevFastEma = fastEmaValue;
		_prevSlowEma = slowEmaValue;
	}
}