net.finmath.equities.pricer.AnalyticOptionValuation Maven / Gradle / Ivy

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finmath lib is a Mathematical Finance Library in Java. It provides algorithms and methodologies related to mathematical finance.
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package net.finmath.equities.pricer;

import java.util.HashMap;

import org.apache.commons.lang3.NotImplementedException;

import net.finmath.equities.marketdata.FlatYieldCurve;
import net.finmath.equities.models.Black76Model;
import net.finmath.equities.models.EquityForwardStructure;
import net.finmath.equities.models.VolatilitySurface;
import net.finmath.equities.pricer.EquityValuationRequest.CalculationRequestType;
import net.finmath.equities.products.Option;
import net.finmath.time.daycount.DayCountConvention;

/**
 * This class implements analytic pricing formulas for European options under a
 * Black-Scholes process with Buehler dividends.
 *
 * @author Andreas Grotz
 */

public class AnalyticOptionValuation implements OptionValuation
{

	private final DayCountConvention dcc;

	public AnalyticOptionValuation(
			DayCountConvention dcc) {
		this.dcc = dcc;
	}

	@Override
	public EquityValuationResult calculate(
			EquityValuationRequest request,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface)
	{
		final var results = new HashMap();
		for (final var calcType  : request.getCalcsRequested()) {
			results.put(calcType, calculate(request.getOption(), forwardStructure, discountCurve, volaSurface, calcType));
		}

		return new EquityValuationResult(request, results);
	}


	public double calculate(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface,
			CalculationRequestType calcType)
	{
		assert !option.isAmericanOption() : "Analytic pricer cannot handle American options.";
		final var valDate = forwardStructure.getValuationDate();
		final var expiryDate = option.getExpiryDate();
		final var ttm = dcc.getDaycountFraction(forwardStructure.getValuationDate(), expiryDate);
		final var forward = forwardStructure.getForward(expiryDate);
		final var discountFactor = discountCurve.getDiscountFactor(expiryDate);
		final var discountRate = discountCurve.getRate(expiryDate);
		final var adjustedForward = forwardStructure.getDividendAdjustedStrike(forward, expiryDate);
		final var adjustedStrike = forwardStructure.getDividendAdjustedStrike(option.getStrike(), expiryDate);
		final var volatility = volaSurface.getVolatility(
				option.getStrike(),
				option.getExpiryDate(),
				forwardStructure);

		switch(calcType)
		{
		case Price:
			return Black76Model.optionPrice(
					1.0,
					adjustedStrike / adjustedForward,
					ttm,
					volatility,
					option.isCallOption(),
					discountFactor * adjustedForward);
		case EqDelta:
			final var dFdS = forwardStructure.getGrowthDiscountFactor(valDate, expiryDate);
			return dFdS * Black76Model.optionDelta(
					1.0,
					adjustedStrike / adjustedForward,
					ttm,
					volatility,
					option.isCallOption(),
					discountFactor);
		case EqGamma:
			final var dFdS2 = Math.pow(forwardStructure.getGrowthDiscountFactor(valDate, expiryDate), 2);
			return dFdS2 * Black76Model.optionGamma(
					1.0,
					adjustedStrike / adjustedForward,
					ttm,
					volatility,
					option.isCallOption(),
					discountFactor / adjustedForward);
		case EqVega:
			return Black76Model.optionVega(
					1.0,
					adjustedStrike / adjustedForward,
					ttm,
					volatility,
					option.isCallOption(),
					discountFactor * adjustedForward);
		case Theta:
			return Black76Model.optionTheta(
					1.0,
					adjustedStrike / adjustedForward,
					ttm,
					volatility,
					option.isCallOption(),
					discountFactor * adjustedForward,
					discountRate);
		default:
			throw new NotImplementedException("Calculation for " + calcType + " not implemented yet.");
		}
	}

	public double getPrice(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface)
	{
		return calculate(
				option,
				forwardStructure,
				discountCurve,
				volaSurface,
				CalculationRequestType.Price);
	}

	public double getDelta(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface)
	{
		return calculate(
				option,
				forwardStructure,
				discountCurve,
				volaSurface,
				CalculationRequestType.EqDelta);
	}

	public double getGamma(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface)
	{
		return calculate(
				option,
				forwardStructure,
				discountCurve,
				volaSurface,
				CalculationRequestType.EqGamma);
	}

	public double getVega(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface)
	{
		return calculate(
				option,
				forwardStructure,
				discountCurve,
				volaSurface,
				CalculationRequestType.EqVega);
	}

	public double getTheta(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			VolatilitySurface volaSurface)
	{
		return calculate(
				option,
				forwardStructure,
				discountCurve,
				volaSurface,
				CalculationRequestType.Theta);
	}

	public double getImpliedVolatility(
			Option option,
			EquityForwardStructure forwardStructure,
			FlatYieldCurve discountCurve,
			double price)
	{
		assert !option.isAmericanOption() : "Analytic pricer cannot handle American options.";
		final var expiryDate = option.getExpiryDate();
		final var ttm = dcc.getDaycountFraction(forwardStructure.getValuationDate(), expiryDate);
		final var forward = forwardStructure.getForward(expiryDate);
		final var discount = discountCurve.getDiscountFactor(expiryDate);
		final var adjustedForward = forwardStructure.getDividendAdjustedStrike(forward, expiryDate);
		final var adjustedStrike = forwardStructure.getDividendAdjustedStrike(option.getStrike(), expiryDate);
		final var undiscountedPrice = price / discount / adjustedForward;

		return Black76Model.optionImpliedVolatility(
				1.0,
				adjustedStrike / adjustedForward,
				ttm,
				undiscountedPrice,
				option.isCallOption());
	}
}