/** * Copyright (C) 2014 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.analytics.financial.interestrate.swaption.provider; import static org.testng.AssertJUnit.assertEquals; import java.util.HashMap; import java.util.LinkedHashMap; import java.util.Map; import java.util.Map.Entry; import org.testng.annotations.Test; import org.threeten.bp.Period; import org.threeten.bp.ZonedDateTime; import com.opengamma.analytics.financial.instrument.index.GeneratorAttributeIR; import com.opengamma.analytics.financial.instrument.index.GeneratorSwapFixedIbor; import com.opengamma.analytics.financial.instrument.index.GeneratorSwapFixedIborMaster; import com.opengamma.analytics.financial.instrument.index.IborIndex; import com.opengamma.analytics.financial.instrument.swap.SwapFixedIborDefinition; import com.opengamma.analytics.financial.instrument.swaption.SwaptionPhysicalFixedIborDefinition; import com.opengamma.analytics.financial.interestrate.PresentValueSABRSensitivityDataBundle; import com.opengamma.analytics.financial.interestrate.SABRSensitivityNodeCalculator; import com.opengamma.analytics.financial.interestrate.datasets.StandardDataSetsMulticurveUSD; import com.opengamma.analytics.financial.interestrate.datasets.StandardDataSetsSABRSwaptionUSD; import com.opengamma.analytics.financial.interestrate.swaption.derivative.SwaptionPhysicalFixedIbor; import com.opengamma.analytics.financial.model.option.definition.SABRInterestRateParameters; import com.opengamma.analytics.financial.provider.calculator.discounting.PV01CurveParametersCalculator; import com.opengamma.analytics.financial.provider.calculator.generic.MarketQuoteSensitivityBlockCalculator; import com.opengamma.analytics.financial.provider.calculator.sabrswaption.PresentValueCurveSensitivitySABRSwaptionCalculator; import com.opengamma.analytics.financial.provider.calculator.sabrswaption.PresentValueSABRSensitivitySABRSwaptionCalculator; import com.opengamma.analytics.financial.provider.calculator.sabrswaption.PresentValueSABRSwaptionCalculator; import com.opengamma.analytics.financial.provider.curve.CurveBuildingBlockBundle; import com.opengamma.analytics.financial.provider.description.interestrate.MulticurveProviderDiscount; import com.opengamma.analytics.financial.provider.description.interestrate.SABRSwaptionProviderDiscount; import com.opengamma.analytics.financial.provider.description.interestrate.SABRSwaptionProviderInterface; import com.opengamma.analytics.financial.provider.sensitivity.multicurve.MultipleCurrencyParameterSensitivity; import com.opengamma.analytics.financial.provider.sensitivity.parameter.ParameterSensitivityParameterCalculator; import com.opengamma.analytics.financial.util.AssertSensitivityObjects; import com.opengamma.analytics.math.matrix.DoubleMatrix1D; import com.opengamma.analytics.util.amount.ReferenceAmount; import com.opengamma.financial.convention.calendar.Calendar; import com.opengamma.util.money.Currency; import com.opengamma.util.money.MultipleCurrencyAmount; import com.opengamma.util.test.TestGroup; import com.opengamma.util.time.DateUtils; import com.opengamma.util.tuple.DoublesPair; import com.opengamma.util.tuple.ObjectsPair; import com.opengamma.util.tuple.Pair; import com.opengamma.util.tuple.Pairs; /** * Test related to swaption end-to-end using standardized market data. */ @Test(groups = TestGroup.UNIT) public class SwaptionPhysicalFixedIborSABRMethodE2ETest { /** The valuation date */ private static final ZonedDateTime VALUATION_DATE = DateUtils.getUTCDate(2014, 1, 22); /** Curves, parametrs and indexes. */ private static final Pair<MulticurveProviderDiscount, CurveBuildingBlockBundle> MULTICURVE_PAIR = StandardDataSetsMulticurveUSD.getCurvesUSDOisL1L3L6(); private static final MulticurveProviderDiscount MULTICURVE = MULTICURVE_PAIR.getFirst(); private static final CurveBuildingBlockBundle BLOCK = MULTICURVE_PAIR.getSecond(); private static final IborIndex[] INDEX_IBOR_LIST = StandardDataSetsMulticurveUSD.indexIborArrayUSDOisL1L3L6(); private static final IborIndex USDLIBOR3M = INDEX_IBOR_LIST[1]; private static final Calendar NYC = StandardDataSetsMulticurveUSD.calendarArray()[0]; private static final Currency USD = USDLIBOR3M.getCurrency(); private static final GeneratorSwapFixedIborMaster GENERATOR_SWAP_FIXED_IBOR_MASTER = GeneratorSwapFixedIborMaster.getInstance(); private static final GeneratorSwapFixedIbor USD6MLIBOR3M = GENERATOR_SWAP_FIXED_IBOR_MASTER.getGenerator("USD6MLIBOR3M", NYC); private static final SABRInterestRateParameters SABR_PARAMETER = StandardDataSetsSABRSwaptionUSD.createSABR1(); private static final SABRSwaptionProviderDiscount MULTICURVE_SABR = new SABRSwaptionProviderDiscount(MULTICURVE, SABR_PARAMETER, USD6MLIBOR3M); /** Instrument description: Swaption */ private static final double NOTIONAL = 100000000; //100m private static final ZonedDateTime EXPIRY_DATE = DateUtils.getUTCDate(2016, 1, 22); // 2Y private static final Period TENOR_SWAP_3M = Period.ofYears(7); private static final double FIXED_RATE_3M = 0.0350; private static final GeneratorAttributeIR ATTRIBUTE_3M = new GeneratorAttributeIR(TENOR_SWAP_3M); private static final SwapFixedIborDefinition SWAP_PAYER_DEFINITION = USD6MLIBOR3M.generateInstrument(EXPIRY_DATE, FIXED_RATE_3M, NOTIONAL, ATTRIBUTE_3M); private static final SwaptionPhysicalFixedIborDefinition SWAPTION_P_2Yx7Y_DEFINITION = SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, SWAP_PAYER_DEFINITION, true, true); private static final SwaptionPhysicalFixedIbor SWAPTION_P_2Yx7Y = SWAPTION_P_2Yx7Y_DEFINITION.toDerivative(VALUATION_DATE); private static final SwaptionPhysicalFixedIborSABRMethod METHOD_SWPT_SABR = SwaptionPhysicalFixedIborSABRMethod.getInstance(); private static final PresentValueSABRSwaptionCalculator PVSSC = PresentValueSABRSwaptionCalculator.getInstance(); private static final PresentValueCurveSensitivitySABRSwaptionCalculator PVCSSSC = PresentValueCurveSensitivitySABRSwaptionCalculator.getInstance(); private static final PV01CurveParametersCalculator<SABRSwaptionProviderInterface> PV01C = new PV01CurveParametersCalculator<>(PVCSSSC); private static final PresentValueSABRSensitivitySABRSwaptionCalculator PVSSSSC = PresentValueSABRSensitivitySABRSwaptionCalculator.getInstance(); private static final ParameterSensitivityParameterCalculator<SABRSwaptionProviderInterface> PSC = new ParameterSensitivityParameterCalculator<>(PVCSSSC); private static final MarketQuoteSensitivityBlockCalculator<SABRSwaptionProviderInterface> MQSBC = new MarketQuoteSensitivityBlockCalculator<>(PSC); private static final double TOLERANCE_PV = 1.0E-3; private static final double TOLERANCE_PV_DELTA = 1.0E-4; private static final double TOLERANCE_RATE = 1.0E-8; private static final double BP1 = 1.0E-4; @Test /** Present value of a swaption. */ public void presentValue() { final MultipleCurrencyAmount pvComputed = SWAPTION_P_2Yx7Y.accept(PVSSC, MULTICURVE_SABR); final MultipleCurrencyAmount pvExpected = MultipleCurrencyAmount.of(USD, 3156216.4895777884); assertEquals("SwaptionPhysicalFixedIborSABRMethod: present value from standard curves", pvExpected.getAmount(USD), pvComputed.getAmount(USD), TOLERANCE_PV); } @Test /** implied Black volatility computed from the SABR parameters. */ public void impliedVolatility() { final double volExpected = 0.29809226250599946; final double volComputed = METHOD_SWPT_SABR.impliedVolatility(SWAPTION_P_2Yx7Y, MULTICURVE_SABR); assertEquals("SwaptionPhysicalFixedIborSABRMethod: present value from standard curves", volExpected, volComputed, TOLERANCE_RATE); } /** * Test Bucketed PV01 with a standard set of data against hard-coded standard values for a swap fixed vs LIBOR3M. Can be used for platform testing or regression testing. */ public void pv01() { final double pv01dsc = -2253.115361063714; final double pv01fwd = 32885.97222733803; final ReferenceAmount<Pair<String, Currency>> pv01Computed = SWAPTION_P_2Yx7Y.accept(PV01C, MULTICURVE_SABR); assertEquals("SwaptionPhysicalFixedIborSABRMethod: pv01 from standard curves", pv01dsc, pv01Computed.getMap().get(Pairs.of(MULTICURVE.getName(USD), USD)), TOLERANCE_RATE); assertEquals("SwaptionPhysicalFixedIborSABRMethod: pv01 from standard curves", pv01fwd, pv01Computed.getMap().get(Pairs.of(MULTICURVE.getName(USDLIBOR3M), USD)), TOLERANCE_RATE); } @Test /** Bucketed PV01: sensitivity with respect to the market quotes used in the curve calibration. * The sensitivity is rescaled to a one basis point move. */ public void BucketedPV01() { final double[] deltaDsc = {-0.8970521909327039, -0.8970528138871251, 2.0679726864123788E-5, -2.800077859468568E-4, 0.020545355340195248, -28.660344224880443, 1.0311659235333974, -101.02574104758263, -162.90022502561072, -34.11856047817592, -41.87866271284144, -47.20852985708558, -52.64477419064427, -193.55488041593657, -379.8195117988651, 26.793804732157106, 259.3051035445537 }; final double[] deltaFwd3 = {0.6768377111533482, -0.013861472263779616, -0.00815248053117034, 28.045784074714817, -10296.86232676286, -9.445439010985615, -12.048126446934697, -60.09929275115254, 14090.425121330405, 28748.01823487962, 0.00, 0.00, 0.00, 0.00, 0.00 }; final LinkedHashMap<Pair<String, Currency>, DoubleMatrix1D> sensitivity = new LinkedHashMap<>(); sensitivity.put(ObjectsPair.of(MULTICURVE.getName(USD), USD), new DoubleMatrix1D(deltaDsc)); sensitivity.put(ObjectsPair.of(MULTICURVE.getName(USDLIBOR3M), USD), new DoubleMatrix1D(deltaFwd3)); final MultipleCurrencyParameterSensitivity pvpsExpected = new MultipleCurrencyParameterSensitivity(sensitivity); final MultipleCurrencyParameterSensitivity pvpsComputed = MQSBC.fromInstrument(SWAPTION_P_2Yx7Y, MULTICURVE_SABR, BLOCK).multipliedBy(BP1); AssertSensitivityObjects.assertEquals("SwaptionPhysicalFixedIborSABRMethod: bucketed deltas from standard curves", pvpsExpected, pvpsComputed, TOLERANCE_PV_DELTA); } @Test /** Bucketed SABR risk: sensitivity with respect to the node of the SABR parameters surfaces. */ public void BucketedSABRRisk() { final PresentValueSABRSensitivityDataBundle pvssComputed = SWAPTION_P_2Yx7Y.accept(PVSSSSC, MULTICURVE_SABR); final PresentValueSABRSensitivityDataBundle pvssNodeComputed = SABRSensitivityNodeCalculator.calculateNodeSensitivities(pvssComputed, SABR_PARAMETER); Map<DoublesPair, Double> alphaRiskExpected = new HashMap<>(); alphaRiskExpected.put(DoublesPair.of(1.0, 5.0), 6204.475194599176); alphaRiskExpected.put(DoublesPair.of(2.0, 5.0), 3.946312129841228E7); alphaRiskExpected.put(DoublesPair.of(1.0, 10.0), 4136.961894403856); alphaRiskExpected.put(DoublesPair.of(2.0, 10.0), 2.6312850632053435E7); Map<DoublesPair, Double> alphaRiskComputed = pvssNodeComputed.getAlpha().getMap(); for (Entry<DoublesPair, Double> entry : alphaRiskExpected.entrySet()) { assertEquals("SwaptionPhysicalFixedIborSABRMethod: BucketedSABRRisk from standard curves " + entry.getKey(), alphaRiskComputed.get(entry.getKey()), entry.getValue(), TOLERANCE_PV_DELTA); } Map<DoublesPair, Double> betaRiskExpected = new HashMap<>(); betaRiskExpected.put(DoublesPair.of(1.0, 5.0), -1135.9264046809967); betaRiskExpected.put(DoublesPair.of(2.0, 5.0), -7224978.7593665235); betaRiskExpected.put(DoublesPair.of(1.0, 10.0), -757.402375482628); betaRiskExpected.put(DoublesPair.of(2.0, 10.0), -4817403.709083163); Map<DoublesPair, Double> betaRiskComputed = pvssNodeComputed.getBeta().getMap(); for (Entry<DoublesPair, Double> entry : betaRiskExpected.entrySet()) { assertEquals("SwaptionPhysicalFixedIborSABRMethod: BucketedSABRRisk from standard curves " + entry.getKey(), betaRiskComputed.get(entry.getKey()), entry.getValue(), TOLERANCE_PV_DELTA); } Map<DoublesPair, Double> rhoRiskExpected = new HashMap<>(); rhoRiskExpected.put(DoublesPair.of(1.0, 5.0), 25.108219123928023); rhoRiskExpected.put(DoublesPair.of(2.0, 5.0), 159699.0342933747); rhoRiskExpected.put(DoublesPair.of(1.0, 10.0), 16.74142332657722); rhoRiskExpected.put(DoublesPair.of(2.0, 10.0), 106482.62725264493); Map<DoublesPair, Double> rhoRiskComputed = pvssNodeComputed.getRho().getMap(); for (Entry<DoublesPair, Double> entry : rhoRiskExpected.entrySet()) { assertEquals("SwaptionPhysicalFixedIborSABRMethod: BucketedSABRRisk from standard curves " + entry.getKey(), rhoRiskComputed.get(entry.getKey()), entry.getValue(), TOLERANCE_PV_DELTA); } Map<DoublesPair, Double> nuRiskExpected = new HashMap<>(); nuRiskExpected.put(DoublesPair.of(1.0, 5.0), 37.75195237231597); nuRiskExpected.put(DoublesPair.of(2.0, 5.0), 240118.59649586905); nuRiskExpected.put(DoublesPair.of(1.0, 10.0), 25.17189343259352); nuRiskExpected.put(DoublesPair.of(2.0, 10.0), 160104.0301854763); Map<DoublesPair, Double> nuRiskComputed = pvssNodeComputed.getNu().getMap(); for (Entry<DoublesPair, Double> entry : nuRiskExpected.entrySet()) { assertEquals("SwaptionPhysicalFixedIborSABRMethod: BucketedSABRRisk from standard curves " + entry.getKey(), nuRiskComputed.get(entry.getKey()), entry.getValue(), TOLERANCE_PV_DELTA); } } }