/** * 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.InterestRateFutureOptionMarginSecurity; 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.BlackStirFuturesSsviPriceProvider; import com.opengamma.analytics.math.differentiation.ValueDerivatives; import com.opengamma.util.ArgumentChecker; /** * Extends the {@link InterestRateFutureOptionMarginSecurityBlackRateMethod} to compute the sensitivity with * respect to SSVI parameters. */ public final class InterestRateFutureOptionMarginSecurityBlackSsviPriceMethod extends InterestRateFutureOptionMarginSecurityBlackPriceMethod { /** * Creates the method unique instance. */ private static final InterestRateFutureOptionMarginSecurityBlackSsviPriceMethod INSTANCE = new InterestRateFutureOptionMarginSecurityBlackSsviPriceMethod(); /** * Constructor. */ private InterestRateFutureOptionMarginSecurityBlackSsviPriceMethod() { } /** * Return the method unique instance. * @return The instance. */ public static InterestRateFutureOptionMarginSecurityBlackSsviPriceMethod getInstance() { return INSTANCE; } /** The Black function used in the pricing. */ private static final BlackPriceFunction BLACK_FUNCTION = new BlackPriceFunction(); /** The method used to compute the future price. It is a method without convexity adjustment. */ private static final InterestRateFutureSecurityDiscountingMethod METHOD_FUTURE = InterestRateFutureSecurityDiscountingMethod.getInstance(); /** * 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( InterestRateFutureOptionMarginSecurity security, BlackStirFuturesSsviPriceProvider ssviData) { ArgumentChecker.notNull(security, "Option security"); ArgumentChecker.notNull(ssviData, "SSVI data"); // Forward sweep final double priceFuture = METHOD_FUTURE.price(security.getUnderlyingFuture(), ssviData.getMulticurveProvider()); 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(), priceFuture); final BlackFunctionData dataBlack = new BlackFunctionData(priceFuture, 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); } }