//JAVA TO C# CONVERTER TODO TASK: Most Java annotations will not have direct .NET equivalent attributes: //ORIGINAL LINE: @Test public void log_normal_cube() public virtual void log_normal_cube() { double beta = 0.50; Surface betaSurface = ConstantSurface.of("Beta", beta).withMetadata(DefaultSurfaceMetadata.builder().xValueType(ValueType.YEAR_FRACTION).yValueType(ValueType.YEAR_FRACTION).zValueType(ValueType.SABR_BETA).surfaceName("Beta").build()); double shift = 0.0000; Surface shiftSurface = ConstantSurface.of("Shift", shift).withMetadata(DefaultSurfaceMetadata.builder().xValueType(ValueType.YEAR_FRACTION).yValueType(ValueType.YEAR_FRACTION).surfaceName("Shift").build()); SabrParametersSwaptionVolatilities calibrated = SABR_CALIBRATION.calibrateWithFixedBetaAndShift(DEFINITION, CALIBRATION_TIME, DATA_SPARSE, MULTICURVE, betaSurface, shiftSurface); for (int looptenor = 0; looptenor < TENORS.Count; looptenor++) { double tenor = TENORS[looptenor].get(ChronoUnit.YEARS); for (int loopexpiry = 0; loopexpiry < EXPIRIES.Count; loopexpiry++) { LocalDate expiry = EUR_FIXED_1Y_EURIBOR_6M.FloatingLeg.StartDateBusinessDayAdjustment.adjust(CALIBRATION_DATE.plus(EXPIRIES[loopexpiry]), REF_DATA); LocalDate effectiveDate = EUR_FIXED_1Y_EURIBOR_6M.calculateSpotDateFromTradeDate(expiry, REF_DATA); LocalDate endDate = effectiveDate.plus(TENORS[looptenor]); SwapTrade swap = EUR_FIXED_1Y_EURIBOR_6M.toTrade(CALIBRATION_DATE, effectiveDate, endDate, BuySell.BUY, 1.0, 0.0); double parRate = SWAP_PRICER.parRate(swap.resolve(REF_DATA).Product, MULTICURVE); ZonedDateTime expiryDateTime = expiry.atTime(11, 0).atZone(ZoneId.of("Europe/Berlin")); double time = calibrated.relativeTime(expiryDateTime); for (int loopmoney = 0; loopmoney < MONEYNESS.size(); loopmoney++) { if (!double.IsNaN(DATA_LOGNORMAL[looptenor][loopexpiry][loopmoney])) { double strike = parRate + MONEYNESS.get(loopmoney); double volBlack = calibrated.volatility(expiryDateTime, tenor, strike, parRate); double priceComputed = BlackFormulaRepository.price(parRate + shift, parRate + MONEYNESS.get(loopmoney) + shift, time, volBlack, true); double priceLogNormal = BlackFormulaRepository.price(parRate, parRate + MONEYNESS.get(loopmoney), time, DATA_LOGNORMAL[looptenor][loopexpiry][loopmoney], true); assertEquals(priceComputed, priceLogNormal, TOLERANCE_PRICE_CALIBRATION_LS); } } } } }
//------------------------------------------------------------------------- /// <summary> /// Computes the present value of CMS coupon by simple forward rate estimation. /// </summary> /// <param name="cmsPeriod"> the CMS </param> /// <param name="provider"> the rates provider </param> /// <returns> the present value </returns> public virtual CurrencyAmount presentValue(CmsPeriod cmsPeriod, RatesProvider provider) { Currency ccy = cmsPeriod.Currency; LocalDate valuationDate = provider.ValuationDate; if (valuationDate.isAfter(cmsPeriod.PaymentDate)) { return(CurrencyAmount.zero(ccy)); } LocalDate fixingDate = cmsPeriod.FixingDate; double dfPayment = provider.discountFactor(ccy, cmsPeriod.PaymentDate); if (!fixingDate.isAfter(valuationDate)) { // Using fixing double?fixedRate = provider.timeSeries(cmsPeriod.Index).get(fixingDate); if (fixedRate.HasValue) { double payoff = 0d; switch (cmsPeriod.CmsPeriodType) { case CAPLET: payoff = Math.Max(fixedRate.Value - cmsPeriod.Strike, 0d); break; case FLOORLET: payoff = Math.Max(cmsPeriod.Strike - fixedRate.Value, 0d); break; case COUPON: payoff = fixedRate.Value; break; default: throw new System.ArgumentException("unsupported CMS type"); } return(CurrencyAmount.of(ccy, payoff * dfPayment * cmsPeriod.Notional * cmsPeriod.YearFraction)); } else if (fixingDate.isBefore(valuationDate)) { throw new System.ArgumentException(Messages.format("Unable to get fixing for {} on date {}, no time-series supplied", cmsPeriod.Index, fixingDate)); } } if (!cmsPeriod.CmsPeriodType.Equals(CmsPeriodType.COUPON)) { throw new System.ArgumentException("Unable to price cap or floor in this pricer"); } // Using forward ResolvedSwap swap = cmsPeriod.UnderlyingSwap; double forward = swapPricer.parRate(swap, provider); return(CurrencyAmount.of(ccy, forward * dfPayment * cmsPeriod.Notional * cmsPeriod.YearFraction)); }
//------------------------------------------------------------------------- public virtual void test_explainPresentValue() { ExplainMap explain = LEG_PRICER.explainPresentValue(CAP_LEG, RATES_PROVIDER, VOLATILITIES); assertEquals(explain.get(ExplainKey.ENTRY_TYPE).get(), "CmsLeg"); assertEquals(explain.get(ExplainKey.PAY_RECEIVE).get().ToString(), "Receive"); assertEquals(explain.get(ExplainKey.PAYMENT_CURRENCY).get().Code, "EUR"); assertEquals(explain.get(ExplainKey.START_DATE).get(), LocalDate.of(2015, 10, 21)); assertEquals(explain.get(ExplainKey.END_DATE).get(), LocalDate.of(2020, 10, 21)); assertEquals(explain.get(ExplainKey.INDEX).get().ToString(), "EUR-EURIBOR-1100-5Y"); assertEquals(explain.get(ExplainKey.PRESENT_VALUE).get().Amount, 39728.51321029542); IList <ExplainMap> paymentPeriods = explain.get(ExplainKey.PAYMENT_PERIODS).get(); assertEquals(paymentPeriods.Count, 5); //Test First Period ExplainMap cmsPeriod0 = paymentPeriods[0]; assertEquals(cmsPeriod0.get(ExplainKey.ENTRY_TYPE).get(), "CmsCapletPeriod"); assertEquals(cmsPeriod0.get(ExplainKey.STRIKE_VALUE).Value, 0.0125d); assertEquals(cmsPeriod0.get(ExplainKey.NOTIONAL).get().Amount, 1000000d); assertEquals(cmsPeriod0.get(ExplainKey.PAYMENT_DATE).get(), LocalDate.of(2016, 10, 21)); assertEquals(cmsPeriod0.get(ExplainKey.DISCOUNT_FACTOR).Value, 0.9820085531995826d); assertEquals(cmsPeriod0.get(ExplainKey.START_DATE).get(), LocalDate.of(2015, 10, 21)); assertEquals(cmsPeriod0.get(ExplainKey.END_DATE).get(), LocalDate.of(2016, 10, 21)); assertEquals(cmsPeriod0.get(ExplainKey.FIXING_DATE).get(), LocalDate.of(2015, 10, 19)); assertEquals(cmsPeriod0.get(ExplainKey.ACCRUAL_YEAR_FRACTION).Value, 1.0166666666666666d); double forwardSwapRate = PRICER_SWAP.parRate(CAP_LEG.CmsPeriods.get(0).UnderlyingSwap, RATES_PROVIDER); assertEquals(cmsPeriod0.get(ExplainKey.FORWARD_RATE).Value, forwardSwapRate); CurrencyAmount pv = PERIOD_PRICER.presentValue(CAP_LEG.CmsPeriods.get(0), RATES_PROVIDER, VOLATILITIES); assertEquals(cmsPeriod0.get(ExplainKey.PRESENT_VALUE).get(), pv); }
//------------------------------------------------------------------------- public virtual void test_presentValue() { CurrencyAmount computedRec = SWAPTION_PRICER.presentValue(SWAPTION_REC_LONG, RATE_PROVIDER, VOLS); CurrencyAmount computedPay = SWAPTION_PRICER.presentValue(SWAPTION_PAY_SHORT, RATE_PROVIDER, VOLS); double forward = SWAP_PRICER.parRate(RSWAP_REC, RATE_PROVIDER); double pvbp = SWAP_PRICER.LegPricer.pvbp(RSWAP_REC.getLegs(SwapLegType.FIXED).get(0), RATE_PROVIDER); double volatility = VOLS.volatility(SWAPTION_REC_LONG.Expiry, TENOR_YEAR, RATE, forward); double maturity = VOLS.relativeTime(SWAPTION_REC_LONG.Expiry); double expectedRec = pvbp * BlackFormulaRepository.price(forward + SwaptionSabrRateVolatilityDataSet.SHIFT, RATE + SwaptionSabrRateVolatilityDataSet.SHIFT, maturity, volatility, false); double expectedPay = -pvbp *BlackFormulaRepository.price(forward + SwaptionSabrRateVolatilityDataSet.SHIFT, RATE + SwaptionSabrRateVolatilityDataSet.SHIFT, maturity, volatility, true); assertEquals(computedRec.Currency, USD); assertEquals(computedRec.Amount, expectedRec, NOTIONAL * TOL); assertEquals(computedPay.Currency, USD); assertEquals(computedPay.Amount, expectedPay, NOTIONAL * TOL); }
public virtual void test_presentValue() { CurrencyAmount computedRec = PRICER.presentValue(SWAPTION_REC_LONG, RATE_PROVIDER, VOLS); CurrencyAmount computedPay = PRICER.presentValue(SWAPTION_PAY_SHORT, RATE_PROVIDER, VOLS); double forward = SWAP_PRICER.parRate(RSWAP_REC, RATE_PROVIDER); double annuityCash = SWAP_PRICER.LegPricer.annuityCash(RFIXED_LEG_REC, forward); double expiry = VOLS.relativeTime(SWAPTION_REC_LONG.Expiry); double tenor = VOLS.tenor(SETTLE, END); double volatility = SURFACE.zValue(expiry, tenor); double settle = ACT_ACT_ISDA.relativeYearFraction(VAL_DATE, SETTLE); double df = Math.Exp(-DSC_CURVE.yValue(settle) * settle); double expectedRec = df * annuityCash * BlackFormulaRepository.price(forward, RATE, expiry, volatility, false); double expectedPay = -df *annuityCash *BlackFormulaRepository.price(forward, RATE, expiry, volatility, true); assertEquals(computedRec.Currency, EUR); assertEquals(computedRec.Amount, expectedRec, NOTIONAL * TOL); assertEquals(computedPay.Currency, EUR); assertEquals(computedPay.Amount, expectedPay, NOTIONAL * TOL); }
//------------------------------------------------------------------------- public virtual void test_implied_volatility() { double forward = PRICER_SWAP.parRate(RSWAP_REC, MULTI_USD); double volExpected = BLACK_VOLS_USD_STD.volatility(SWAPTION_LONG_REC.Expiry, SWAP_TENOR_YEAR, STRIKE, forward); double volComputed = PRICER_SWAPTION_BLACK.impliedVolatility(SWAPTION_LONG_PAY, MULTI_USD, BLACK_VOLS_USD_STD); assertEquals(volComputed, volExpected, TOLERANCE_RATE); }
//------------------------------------------------------------------------- /// <summary> /// Calculates the present value of the swaption. /// <para> /// The result is expressed using the currency of the swaption. /// /// </para> /// </summary> /// <param name="swaption"> the swaption </param> /// <param name="ratesProvider"> the rates provider </param> /// <param name="swaptionVolatilities"> the volatilities </param> /// <returns> the present value </returns> public virtual CurrencyAmount presentValue(ResolvedSwaption swaption, RatesProvider ratesProvider, SwaptionVolatilities swaptionVolatilities) { validate(swaption, ratesProvider, swaptionVolatilities); double expiry = swaptionVolatilities.relativeTime(swaption.Expiry); ResolvedSwap underlying = swaption.Underlying; ResolvedSwapLeg fixedLeg = this.fixedLeg(underlying); if (expiry < 0d) { // Option has expired already return(CurrencyAmount.of(fixedLeg.Currency, 0d)); } double forward = swapPricer.parRate(underlying, ratesProvider); double numeraire = calculateNumeraire(swaption, fixedLeg, forward, ratesProvider); double strike = calculateStrike(fixedLeg); double tenor = swaptionVolatilities.tenor(fixedLeg.StartDate, fixedLeg.EndDate); double volatility = swaptionVolatilities.volatility(expiry, tenor, strike, forward); PutCall putCall = PutCall.ofPut(fixedLeg.PayReceive.Receive); double price = numeraire * swaptionVolatilities.price(expiry, tenor, putCall, strike, forward, volatility); return(CurrencyAmount.of(fixedLeg.Currency, price * swaption.LongShort.sign())); }
//----------------------------------------------------------------------- public virtual void test_VanillaFixedVsLibor3mSwap() { SwapLeg payLeg = fixedLeg(LocalDate.of(2014, 9, 12), LocalDate.of(2021, 9, 12), P6M, PAY, NOTIONAL, 0.015, null); SwapLeg receiveLeg = iborLeg(LocalDate.of(2014, 9, 12), LocalDate.of(2021, 9, 12), USD_LIBOR_3M, RECEIVE, NOTIONAL, null); ResolvedSwapTrade trade = SwapTrade.builder().info(TradeInfo.builder().tradeDate(LocalDate.of(2014, 9, 10)).build()).product(Swap.of(payLeg, receiveLeg)).build().resolve(REF_DATA); // test pv DiscountingSwapTradePricer pricer = swapPricer(); CurrencyAmount pv = pricer.presentValue(trade, provider()).getAmount(USD); assertEquals(pv.Amount, 7170391.798257509, TOLERANCE_PV); // test par rate double parRate = PRICER_PRODUCT.parRate(trade.Product, provider()); assertEquals(parRate, 0.02589471566819517, TOLERANCE_RATE); // test par rate vs pv ResolvedSwap swapPV0 = Swap.of(fixedLeg(LocalDate.of(2014, 9, 12), LocalDate.of(2021, 9, 12), P6M, PAY, NOTIONAL, parRate, null), receiveLeg).resolve(REF_DATA); CurrencyAmount pv0 = PRICER_PRODUCT.presentValue(swapPV0, provider()).getAmount(USD); assertEquals(pv0.Amount, 0, TOLERANCE_PV); // PV at par rate should be 0 }
//------------------------------------------------------------------------- public virtual void test_presentValue() { CurrencyAmount pvRecComputed = PRICER_SWAPTION.presentValue(SWAPTION_REC_LONG, RATE_PROVIDER, VOLS); CurrencyAmount pvPayComputed = PRICER_SWAPTION.presentValue(SWAPTION_PAY_SHORT, RATE_PROVIDER, VOLS); double forward = PRICER_SWAP.parRate(RSWAP_REC, RATE_PROVIDER); double annuityCash = PRICER_SWAP.LegPricer.annuityCash(RSWAP_REC.getLegs(SwapLegType.FIXED).get(0), forward); double volatility = VOLS.volatility(SWAPTION_REC_LONG.Expiry, SWAP_TENOR_YEAR, STRIKE, forward); double discount = RATE_PROVIDER.discountFactor(USD, SETTLE_DATE); NormalFunctionData normalData = NormalFunctionData.of(forward, annuityCash * discount, volatility); double expiry = VOLS.relativeTime(SWAPTION_REC_LONG.Expiry); EuropeanVanillaOption optionRec = EuropeanVanillaOption.of(STRIKE, expiry, PutCall.PUT); EuropeanVanillaOption optionPay = EuropeanVanillaOption.of(STRIKE, expiry, PutCall.CALL); double pvRecExpected = NORMAL.getPriceFunction(optionRec).apply(normalData); double pvPayExpected = -NORMAL.getPriceFunction(optionPay).apply(normalData); assertEquals(pvRecComputed.Currency, USD); assertEquals(pvRecComputed.Amount, pvRecExpected, NOTIONAL * TOL); assertEquals(pvPayComputed.Currency, USD); assertEquals(pvPayComputed.Amount, pvPayExpected, NOTIONAL * TOL); }
//------------------------------------------------------------------------- /// <summary> /// Runs the calibration of swaptions and print the calibrated smile results on the console. /// </summary> /// <param name="args"> -s to use the sparse data, i.e. a cube with missing data points </param> public static void Main(string[] args) { // select data TenorRawOptionData data = DATA_FULL; if (args.Length > 0) { if (args[0].Equals("-s")) { data = DATA_SPARSE; } } Console.WriteLine("Start calibration"); double beta = 0.50; SurfaceMetadata betaMetadata = DefaultSurfaceMetadata.builder().xValueType(ValueType.YEAR_FRACTION).yValueType(ValueType.YEAR_FRACTION).zValueType(ValueType.SABR_BETA).surfaceName("Beta").build(); Surface betaSurface = ConstantSurface.of(betaMetadata, beta); double shift = 0.0300; Surface shiftSurface = ConstantSurface.of("Shift", shift); SabrParametersSwaptionVolatilities calibrated = SABR_CALIBRATION.calibrateWithFixedBetaAndShift(DEFINITION, CALIBRATION_TIME, data, MULTICURVE, betaSurface, shiftSurface); Console.WriteLine("End calibration"); /* Graph calibration */ int nbStrikesGraph = 50; double moneyMin = -0.0250; double moneyMax = +0.0300; double[] moneyGraph = new double[nbStrikesGraph + 1]; for (int i = 0; i < nbStrikesGraph + 1; i++) { moneyGraph[i] = moneyMin + i * (moneyMax - moneyMin) / nbStrikesGraph; } //JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java: //ORIGINAL LINE: double[][][] strikesGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1]; double[][][] strikesGraph = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES, nbStrikesGraph + 1); //JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java: //ORIGINAL LINE: double[][][] volLNGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1]; double[][][] volLNGraph = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES, nbStrikesGraph + 1); //JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java: //ORIGINAL LINE: double[][][] volNGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1]; double[][][] volNGraph = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES, nbStrikesGraph + 1); //JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java: //ORIGINAL LINE: double[][] parRate = new double[NB_TENORS][NB_EXPIRIES]; double[][] parRate = RectangularArrays.ReturnRectangularDoubleArray(NB_TENORS, NB_EXPIRIES); for (int looptenor = 0; looptenor < TENORS.size(); looptenor++) { double tenor = TENORS.get(looptenor).get(ChronoUnit.YEARS); for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++) { LocalDate expiry = EUR_FIXED_1Y_EURIBOR_6M.FloatingLeg.StartDateBusinessDayAdjustment.adjust(CALIBRATION_DATE.plus(EXPIRIES.get(loopexpiry)), REF_DATA); LocalDate effectiveDate = EUR_FIXED_1Y_EURIBOR_6M.calculateSpotDateFromTradeDate(expiry, REF_DATA); LocalDate endDate = effectiveDate.plus(TENORS.get(looptenor)); SwapTrade swap = EUR_FIXED_1Y_EURIBOR_6M.toTrade(CALIBRATION_DATE, effectiveDate, endDate, BuySell.BUY, 1.0, 0.0); parRate[looptenor][loopexpiry] = SWAP_PRICER.parRate(swap.resolve(REF_DATA).Product, MULTICURVE); ZonedDateTime expiryDateTime = expiry.atTime(11, 0).atZone(ZoneId.of("Europe/Berlin")); double time = calibrated.relativeTime(expiryDateTime); for (int i = 0; i < nbStrikesGraph + 1; i++) { strikesGraph[looptenor][loopexpiry][i] = parRate[looptenor][loopexpiry] + moneyGraph[i]; volLNGraph[looptenor][loopexpiry][i] = calibrated.volatility(expiryDateTime, tenor, strikesGraph[looptenor][loopexpiry][i], parRate[looptenor][loopexpiry]); volNGraph[looptenor][loopexpiry][i] = NormalFormulaRepository.impliedVolatilityFromBlackApproximated(parRate[looptenor][loopexpiry] + shift, strikesGraph[looptenor][loopexpiry][i] + shift, time, volLNGraph[looptenor][loopexpiry][i]); } } } /* Graph export */ string svn = "Moneyness"; for (int looptenor = 0; looptenor < TENORS.size(); looptenor++) { for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++) { svn = svn + ", Strike_" + EXPIRIES.get(loopexpiry).ToString() + "x" + TENORS.get(looptenor).ToString() + ", NormalVol_" + EXPIRIES.get(loopexpiry).ToString() + "x" + TENORS.get(looptenor).ToString(); } } svn = svn + "\n"; for (int i = 0; i < nbStrikesGraph + 1; i++) { svn = svn + moneyGraph[i]; for (int looptenor = 0; looptenor < TENORS.size(); looptenor++) { for (int loopexpiry = 0; loopexpiry < EXPIRIES.size(); loopexpiry++) { svn = svn + ", " + strikesGraph[looptenor][loopexpiry][i]; svn = svn + ", " + volNGraph[looptenor][loopexpiry][i]; } } svn = svn + "\n"; } Console.WriteLine(svn); }
//------------------------------------------------------------------------- /// <summary> /// Computes the present value by replication in SABR framework with extrapolation on the right. /// </summary> /// <param name="cmsPeriod"> the CMS </param> /// <param name="provider"> the rates provider </param> /// <param name="swaptionVolatilities"> the swaption volatilities </param> /// <returns> the present value </returns> public CurrencyAmount presentValue(CmsPeriod cmsPeriod, RatesProvider provider, SwaptionVolatilities swaptionVolatilities) { Currency ccy = cmsPeriod.Currency; LocalDate valuationDate = provider.ValuationDate; if (valuationDate.isAfter(cmsPeriod.PaymentDate)) { return(CurrencyAmount.zero(ccy)); } LocalDate fixingDate = cmsPeriod.FixingDate; double dfPayment = provider.discountFactor(ccy, cmsPeriod.PaymentDate); if (!fixingDate.isAfter(valuationDate)) { // Using fixing double?fixedRate = provider.timeSeries(cmsPeriod.Index).get(fixingDate); if (fixedRate.HasValue) { double payoff = 0d; switch (cmsPeriod.CmsPeriodType) { case CAPLET: payoff = Math.Max(fixedRate.Value - cmsPeriod.Strike, 0d); break; case FLOORLET: payoff = Math.Max(cmsPeriod.Strike - fixedRate.Value, 0d); break; case COUPON: payoff = fixedRate.Value; break; default: throw new System.ArgumentException("unsupported CMS type"); } return(CurrencyAmount.of(ccy, payoff * dfPayment * cmsPeriod.Notional * cmsPeriod.YearFraction)); } else if (fixingDate.isBefore(valuationDate)) { throw new System.ArgumentException(Messages.format("Unable to get fixing for {} on date {}, no time-series supplied", cmsPeriod.Index, fixingDate)); } } if (!cmsPeriod.CmsPeriodType.Equals(CmsPeriodType.COUPON)) { throw new System.ArgumentException("Unable to price cap or floor in this pricer"); } // Using forward SwapIndex index = cmsPeriod.Index; ResolvedSwap swap = cmsPeriod.UnderlyingSwap; ResolvedSwapLeg fixedLeg = swap.getLegs(SwapLegType.FIXED).get(0); int nbFixedPaymentYear = (int)(long)Math.Round(1d / ((RatePaymentPeriod)fixedLeg.PaymentPeriods.get(0)).AccrualPeriods.get(0).YearFraction, MidpointRounding.AwayFromZero); int nbFixedPeriod = fixedLeg.PaymentPeriods.size(); double forward = swapPricer.parRate(swap, provider); double tenor = swaptionVolatilities.tenor(swap.StartDate, swap.EndDate); double expiryTime = swaptionVolatilities.relativeTime(fixingDate.atTime(index.FixingTime).atZone(index.FixingZone)); double volatility = swaptionVolatilities.volatility(expiryTime, tenor, forward, forward); ValueDerivatives annuityDerivatives = swapPricer.LegPricer.annuityCash2(nbFixedPaymentYear, nbFixedPeriod, volatility); double forwardAdjustment = -0.5 * forward * forward * volatility * volatility * expiryTime * annuityDerivatives.getDerivative(1) / annuityDerivatives.getDerivative(0); return(CurrencyAmount.of(ccy, (forward + forwardAdjustment) * dfPayment * cmsPeriod.Notional * cmsPeriod.YearFraction)); }