/** * Copyright (C) 2016 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.analytics.financial.interestrate.future.provider; import com.opengamma.analytics.financial.interestrate.future.derivative.BondFuturesOptionMarginSecurity; import com.opengamma.analytics.financial.model.option.pricing.analytic.formula.BlackFunctionData; import com.opengamma.analytics.financial.model.option.pricing.analytic.formula.BlackPriceFunction; import com.opengamma.analytics.financial.model.option.pricing.analytic.formula.EuropeanVanillaOption; import com.opengamma.analytics.financial.provider.description.interestrate.BlackBondFuturesSsviPriceProvider; import com.opengamma.analytics.math.differentiation.ValueDerivatives; import com.opengamma.util.ArgumentChecker; /** * Method for the pricing of bond future options with margin process. The pricing is done with a Black approach and * a smile described by a SSVI formula. */ public class BondFutureOptionMarginSecurityBlackSsviPriceMethod extends BondFutureOptionMarginSecurityBlackPriceMethod { /** The method default instance. */ public static final BondFutureOptionMarginSecurityBlackSsviPriceMethod DEFAULT = new BondFutureOptionMarginSecurityBlackSsviPriceMethod(); /** The Black function used in the pricing. */ private static final BlackPriceFunction BLACK_FUNCTION = new BlackPriceFunction(); /** * Default constructor. */ private BondFutureOptionMarginSecurityBlackSsviPriceMethod() { } /** * Constructor from a particular bond futures method. The method is used to compute the price and price curve * sensitivity of the underlying futures. * @param methodFutures The bond futures method. */ public BondFutureOptionMarginSecurityBlackSsviPriceMethod(FuturesSecurityIssuerMethod methodFutures) { super(methodFutures); } /** * Computes the option security price SSVI formula parameters sensitivity. * The future price is computed without convexity adjustment. * @param security The future option security. * @param ssviData The curve and SSVI formula data. * @return The security price SSVI parameters sensitivity. The sensitivities are to the ATM Black volatility, * rho parameter and eta parameter. */ public ValueDerivatives priceSsviSensitivity( BondFuturesOptionMarginSecurity security, BlackBondFuturesSsviPriceProvider ssviData) { ArgumentChecker.notNull(security, "Option security"); ArgumentChecker.notNull(ssviData, "SSVI data"); // Forward sweep double priceFutures = getMethodFutures().price(security.getUnderlyingFuture(), ssviData); final double strike = security.getStrike(); final EuropeanVanillaOption option = new EuropeanVanillaOption(strike, security.getExpirationTime(), security.isCall()); final double delay = security.getUnderlyingFuture().getTradingLastTime() - security.getExpirationTime(); ValueDerivatives volatilityAd = ssviData .volatilityAdjoint(security.getExpirationTime(), delay, security.getStrike(), priceFutures); final BlackFunctionData dataBlack = new BlackFunctionData(priceFutures, 1.0, volatilityAd.getValue()); double[] priceAdjoint = BLACK_FUNCTION.getPriceAdjoint(option, dataBlack); // Backward sweep double priceBar = 1.0; double volatilityBar = priceAdjoint[2] * priceBar; double[] derivatives = new double[3]; for (int i = 0; i < 3; i++) { derivatives[i] = volatilityAd.getDerivatives(i + 3) * volatilityBar; } return ValueDerivatives.of(priceAdjoint[0], derivatives); } }