/** * Copyright (C) 2012 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.analytics.financial.interestrate.payments.provider; import java.util.ArrayList; import java.util.HashMap; import java.util.List; import java.util.Map; import com.opengamma.analytics.financial.instrument.index.IborIndex; import com.opengamma.analytics.financial.interestrate.payments.derivative.CouponIborCompounding; import com.opengamma.analytics.financial.provider.description.interestrate.MulticurveProviderInterface; import com.opengamma.analytics.financial.provider.sensitivity.multicurve.ForwardSensitivity; import com.opengamma.analytics.financial.provider.sensitivity.multicurve.MulticurveSensitivity; import com.opengamma.analytics.financial.provider.sensitivity.multicurve.MultipleCurrencyMulticurveSensitivity; import com.opengamma.analytics.financial.provider.sensitivity.multicurve.SimplyCompoundedForwardSensitivity; import com.opengamma.util.ArgumentChecker; import com.opengamma.util.money.MultipleCurrencyAmount; import com.opengamma.util.tuple.DoublesPair; /** * Method to compute present value and present value sensitivity for Ibor compounded coupon. */ public final class CouponIborCompoundingDiscountingMethod { /** * The method unique instance. */ private static final CouponIborCompoundingDiscountingMethod INSTANCE = new CouponIborCompoundingDiscountingMethod(); /** * Return the unique instance of the class. * @return The instance. */ public static CouponIborCompoundingDiscountingMethod getInstance() { return INSTANCE; } /** * Private constructor. */ private CouponIborCompoundingDiscountingMethod() { } /** * Compute the present value of a Ibor compounded coupon by discounting. * @param coupon The coupon. * @param multicurve The multi-curve provider. * @return The present value. */ public MultipleCurrencyAmount presentValue(final CouponIborCompounding coupon, final MulticurveProviderInterface multicurve) { return presentValue(coupon, multicurve, IborForwardRateProvider.getInstance()); } public MultipleCurrencyAmount presentValue( final CouponIborCompounding coupon, final MulticurveProviderInterface multicurve, final ForwardRateProvider<IborIndex> forwardRateProvider) { ArgumentChecker.notNull(coupon, "Coupon"); ArgumentChecker.notNull(multicurve, "Multi-curves provider"); final int nbSubPeriod = coupon.getFixingTimes().length; double notionalAccrued = coupon.getNotionalAccrued(); for (int loopsub = 0; loopsub < nbSubPeriod; loopsub++) { final double forwardRate = forwardRateProvider.getRate( multicurve, coupon, coupon.getFixingPeriodStartTimes()[loopsub], coupon.getFixingPeriodEndTimes()[loopsub], coupon.getFixingPeriodAccrualFactors()[loopsub]); final double ratioForward = (1.0 + coupon.getPaymentAccrualFactors()[loopsub] * forwardRate); notionalAccrued *= ratioForward; } final double df = multicurve.getDiscountFactor(coupon.getCurrency(), coupon.getPaymentTime()); final double pv = (notionalAccrued - coupon.getNotional()) * df; return MultipleCurrencyAmount.of(coupon.getCurrency(), pv); } /** * Compute the present value sensitivity to rates of a Ibor compounded coupon by discounting. * @param coupon The coupon. * @param multicurve The multi-curve provider. * @return The present value sensitivity. */ public MultipleCurrencyMulticurveSensitivity presentValueCurveSensitivity(final CouponIborCompounding coupon, final MulticurveProviderInterface multicurve) { ArgumentChecker.notNull(coupon, "Coupon"); ArgumentChecker.notNull(multicurve, "Multi-curves provider"); final int nbSubPeriod = coupon.getFixingTimes().length; double notionalAccrued = coupon.getNotionalAccrued(); final double[] forward = new double[nbSubPeriod]; final double[] ratioForward = new double[nbSubPeriod]; for (int loopsub = 0; loopsub < nbSubPeriod; loopsub++) { forward[loopsub] = multicurve.getSimplyCompoundForwardRate(coupon.getIndex(), coupon.getFixingPeriodStartTimes()[loopsub], coupon.getFixingPeriodEndTimes()[loopsub], coupon.getFixingPeriodAccrualFactors()[loopsub]); ratioForward[loopsub] = 1.0 + coupon.getPaymentAccrualFactors()[loopsub] * forward[loopsub]; notionalAccrued *= ratioForward[loopsub]; } final double dfPayment = multicurve.getDiscountFactor(coupon.getCurrency(), coupon.getPaymentTime()); // Backward sweep final double pvBar = 1.0; final double dfPaymentBar = (notionalAccrued - coupon.getNotional()) * pvBar; final double notionalAccruedBar = dfPayment * pvBar; final double[] ratioForwardBar = new double[nbSubPeriod]; final double[] forwardBar = new double[nbSubPeriod]; for (int loopsub = 0; loopsub < nbSubPeriod; loopsub++) { ratioForwardBar[loopsub] = notionalAccrued / ratioForward[loopsub] * notionalAccruedBar; forwardBar[loopsub] = coupon.getPaymentAccrualFactors()[loopsub] * ratioForwardBar[loopsub]; } final Map<String, List<DoublesPair>> mapDsc = new HashMap<>(); final List<DoublesPair> listDiscounting = new ArrayList<>(); listDiscounting.add(DoublesPair.of(coupon.getPaymentTime(), -coupon.getPaymentTime() * dfPayment * dfPaymentBar)); mapDsc.put(multicurve.getName(coupon.getCurrency()), listDiscounting); final Map<String, List<ForwardSensitivity>> mapFwd = new HashMap<>(); final List<ForwardSensitivity> listForward = new ArrayList<>(); for (int loopsub = 0; loopsub < nbSubPeriod; loopsub++) { listForward.add(new SimplyCompoundedForwardSensitivity(coupon.getFixingPeriodStartTimes()[loopsub], coupon.getFixingPeriodEndTimes()[loopsub], coupon.getFixingPeriodAccrualFactors()[loopsub], forwardBar[loopsub])); } mapFwd.put(multicurve.getName(coupon.getIndex()), listForward); return MultipleCurrencyMulticurveSensitivity.of(coupon.getCurrency(), MulticurveSensitivity.of(mapDsc, mapFwd)); } }