/** * Copyright (C) 2015 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.strata.pricer.curve; import static com.opengamma.strata.basics.currency.Currency.USD; import static com.opengamma.strata.basics.date.BusinessDayConventions.FOLLOWING; import static com.opengamma.strata.basics.date.DayCounts.ACT_360; import static com.opengamma.strata.basics.date.DayCounts.ACT_365F; import static com.opengamma.strata.basics.date.HolidayCalendarIds.USNY; import static com.opengamma.strata.basics.index.IborIndices.USD_LIBOR_3M; import static com.opengamma.strata.basics.index.OvernightIndices.USD_FED_FUND; import static com.opengamma.strata.product.swap.type.FixedIborSwapConventions.USD_FIXED_6M_LIBOR_3M; import static com.opengamma.strata.product.swap.type.FixedOvernightSwapConventions.USD_FIXED_1Y_FED_FUND_OIS; import static org.testng.Assert.assertEquals; import java.time.LocalDate; import java.time.Period; import java.util.ArrayList; import java.util.HashMap; import java.util.HashSet; import java.util.List; import java.util.Map; import java.util.Set; import java.util.function.Function; import org.testng.annotations.Test; import com.opengamma.strata.basics.ReferenceData; import com.opengamma.strata.basics.StandardId; import com.opengamma.strata.basics.currency.Currency; import com.opengamma.strata.basics.currency.CurrencyAmount; import com.opengamma.strata.basics.currency.MultiCurrencyAmount; import com.opengamma.strata.basics.date.BusinessDayAdjustment; import com.opengamma.strata.basics.date.DateSequences; import com.opengamma.strata.basics.date.DayCount; import com.opengamma.strata.basics.date.DaysAdjustment; import com.opengamma.strata.basics.date.Tenor; import com.opengamma.strata.basics.index.Index; import com.opengamma.strata.data.ImmutableMarketData; import com.opengamma.strata.data.ImmutableMarketDataBuilder; import com.opengamma.strata.data.MarketData; import com.opengamma.strata.data.MarketDataId; import com.opengamma.strata.market.ValueType; import com.opengamma.strata.market.curve.CurveGroupDefinition; import com.opengamma.strata.market.curve.CurveGroupName; import com.opengamma.strata.market.curve.CurveMetadata; import com.opengamma.strata.market.curve.CurveName; import com.opengamma.strata.market.curve.CurveNode; import com.opengamma.strata.market.curve.DefaultCurveMetadata; import com.opengamma.strata.market.curve.InterpolatedNodalCurveDefinition; import com.opengamma.strata.market.curve.interpolator.CurveExtrapolator; import com.opengamma.strata.market.curve.interpolator.CurveExtrapolators; import com.opengamma.strata.market.curve.interpolator.CurveInterpolator; import com.opengamma.strata.market.curve.interpolator.CurveInterpolators; import com.opengamma.strata.market.curve.node.FixedIborSwapCurveNode; import com.opengamma.strata.market.curve.node.FixedOvernightSwapCurveNode; import com.opengamma.strata.market.curve.node.IborFixingDepositCurveNode; import com.opengamma.strata.market.curve.node.IborFutureCurveNode; import com.opengamma.strata.market.curve.node.TermDepositCurveNode; import com.opengamma.strata.market.observable.QuoteId; import com.opengamma.strata.market.param.CurrencyParameterSensitivities; import com.opengamma.strata.market.sensitivity.PointSensitivityBuilder; import com.opengamma.strata.pricer.deposit.DiscountingIborFixingDepositProductPricer; import com.opengamma.strata.pricer.deposit.DiscountingTermDepositProductPricer; import com.opengamma.strata.pricer.index.DiscountingIborFutureTradePricer; import com.opengamma.strata.pricer.rate.RatesProvider; import com.opengamma.strata.pricer.sensitivity.MarketQuoteSensitivityCalculator; import com.opengamma.strata.pricer.swap.DiscountingSwapProductPricer; import com.opengamma.strata.product.ResolvedTrade; import com.opengamma.strata.product.common.BuySell; import com.opengamma.strata.product.deposit.ResolvedIborFixingDepositTrade; import com.opengamma.strata.product.deposit.ResolvedTermDepositTrade; import com.opengamma.strata.product.deposit.type.IborFixingDepositTemplate; import com.opengamma.strata.product.deposit.type.ImmutableTermDepositConvention; import com.opengamma.strata.product.deposit.type.TermDepositConvention; import com.opengamma.strata.product.deposit.type.TermDepositTemplate; import com.opengamma.strata.product.index.ResolvedIborFutureTrade; import com.opengamma.strata.product.index.type.IborFutureConvention; import com.opengamma.strata.product.index.type.IborFutureTemplate; import com.opengamma.strata.product.index.type.ImmutableIborFutureConvention; import com.opengamma.strata.product.swap.ResolvedSwap; import com.opengamma.strata.product.swap.ResolvedSwapTrade; import com.opengamma.strata.product.swap.SwapTrade; import com.opengamma.strata.product.swap.type.FixedIborSwapConventions; import com.opengamma.strata.product.swap.type.FixedIborSwapTemplate; import com.opengamma.strata.product.swap.type.FixedOvernightSwapTemplate; /** * Test for curve calibration with 2 curves in USD. * One curve is Discounting and Fed Fund forward and the other one is Libor 3M forward. * The Forward 3M curve is calibrated in part to Ibor futures without convexity adjustment. */ @Test public class CalibrationZeroRateUsd2OisFuturesIrsTest { private static final ReferenceData REF_DATA = ReferenceData.standard(); private static final LocalDate VAL_DATE = LocalDate.of(2015, 7, 21); private static final CurveInterpolator INTERPOLATOR_LINEAR = CurveInterpolators.LINEAR; private static final CurveExtrapolator EXTRAPOLATOR_FLAT = CurveExtrapolators.FLAT; private static final DayCount CURVE_DC = ACT_365F; private static final String SCHEME = "CALIBRATION"; /** Curve names */ private static final String DSCON_NAME = "USD-DSCON-OIS"; private static final CurveName DSCON_CURVE_NAME = CurveName.of(DSCON_NAME); private static final String FWD3_NAME = "USD-LIBOR3M-FUTIRS"; private static final CurveName FWD3_CURVE_NAME = CurveName.of(FWD3_NAME); /** Curves associations to currencies and indices. */ private static final Map<CurveName, Currency> DSC_NAMES = new HashMap<>(); private static final Map<CurveName, Set<Index>> IDX_NAMES = new HashMap<>(); static { DSC_NAMES.put(DSCON_CURVE_NAME, USD); Set<Index> usdFedFundSet = new HashSet<>(); usdFedFundSet.add(USD_FED_FUND); IDX_NAMES.put(DSCON_CURVE_NAME, usdFedFundSet); Set<Index> usdLibor3Set = new HashSet<>(); usdLibor3Set.add(USD_LIBOR_3M); IDX_NAMES.put(FWD3_CURVE_NAME, usdLibor3Set); } /** Data for USD-DSCON curve */ /* Market values */ private static final double[] DSC_MARKET_QUOTES = new double[] { 0.0005, 0.0005, 0.00072000, 0.00082000, 0.00093000, 0.00090000, 0.00105000, 0.00118500, 0.00318650, 0.00318650, 0.00704000, 0.01121500, 0.01515000, 0.01845500, 0.02111000, 0.02332000, 0.02513500, 0.02668500 }; private static final int DSC_NB_NODES = DSC_MARKET_QUOTES.length; private static final String[] DSC_ID_VALUE = new String[] { "USD-ON", "USD-TN", "USD-OIS-1M", "USD-OIS-2M", "USD-OIS-3M", "USD-OIS-6M", "USD-OIS-9M", "USD-OIS-1Y", "USD-OIS-18M", "USD-OIS-2Y", "USD-OIS-3Y", "USD-OIS-4Y", "USD-OIS-5Y", "USD-OIS-6Y", "USD-OIS-7Y", "USD-OIS-8Y", "USD-OIS-9Y", "USD-OIS-10Y" }; /* Nodes */ private static final CurveNode[] DSC_NODES = new CurveNode[DSC_NB_NODES]; /* Tenors */ private static final int[] DSC_DEPO_OFFSET = new int[] {0, 1}; private static final int DSC_NB_DEPO_NODES = DSC_DEPO_OFFSET.length; private static final Period[] DSC_OIS_TENORS = new Period[] { Period.ofMonths(1), Period.ofMonths(2), Period.ofMonths(3), Period.ofMonths(6), Period.ofMonths(9), Period.ofYears(1), Period.ofMonths(18), Period.ofYears(2), Period.ofYears(3), Period.ofYears(4), Period.ofYears(5), Period.ofYears(6), Period.ofYears(7), Period.ofYears(8), Period.ofYears(9), Period.ofYears(10)}; private static final int DSC_NB_OIS_NODES = DSC_OIS_TENORS.length; static { for(int i = 0; i < DSC_NB_DEPO_NODES; i++) { BusinessDayAdjustment bda = BusinessDayAdjustment.of(FOLLOWING, USNY); TermDepositConvention convention = ImmutableTermDepositConvention.of( "USD-Dep", USD, bda, ACT_360, DaysAdjustment.ofBusinessDays(DSC_DEPO_OFFSET[i], USNY)); DSC_NODES[i] = TermDepositCurveNode.of(TermDepositTemplate.of(Period.ofDays(1), convention), QuoteId.of(StandardId.of(SCHEME, DSC_ID_VALUE[i]))); } for (int i = 0; i < DSC_NB_OIS_NODES; i++) { DSC_NODES[DSC_NB_DEPO_NODES + i] = FixedOvernightSwapCurveNode.of( FixedOvernightSwapTemplate.of(Period.ZERO, Tenor.of(DSC_OIS_TENORS[i]), USD_FIXED_1Y_FED_FUND_OIS), QuoteId.of(StandardId.of(SCHEME, DSC_ID_VALUE[DSC_NB_DEPO_NODES + i]))); } } /** Data for USD-LIBOR3M curve */ /* Market values */ private static final double[] FWD3_MARKET_QUOTES = new double[] { 0.00236600, 0.9975, 0.9975, 0.9950, 0.9950, 0.9940, 0.9930, 0.9920, 0.9910, 0.00939150, 0.01380800, 0.01732000, 0.02000000, 0.02396200, 0.02500000, 0.02700000, 0.02930000 }; private static final int FWD3_NB_NODES = FWD3_MARKET_QUOTES.length; private static final String[] FWD3_ID_VALUE = new String[] { "USD-Fixing-3M", "USD-ED1", "USD-ED2", "USD-ED3", "USD-ED4", "USD-ED5", "USD-ED6", "USD-ED7", "USD-ED8", "USD-IRS3M-3Y", "USD-IRS3M-4Y", "USD-IRS3M-5Y", "USD-IRS3M-6Y", "USD-IRS3M-7Y", "USD-IRS3M-8Y", "USD-IRS3M-9Y", "USD-IRS3M-10Y" }; /* Nodes */ private static final CurveNode[] FWD3_NODES = new CurveNode[FWD3_NB_NODES]; /* Tenors */ private static final int[] FWD3_FUT_SEQ = new int[] {1, 2, 3, 4, 5, 6, 7, 8}; private static final int FWD3_NB_FUT_NODES = FWD3_FUT_SEQ.length; private static final Period[] FWD3_IRS_TENORS = new Period[] { Period.ofYears(3), Period.ofYears(4), Period.ofYears(5), Period.ofYears(6), Period.ofYears(7), Period.ofYears(8), Period.ofYears(9), Period.ofYears(10)}; private static final int FWD3_NB_IRS_NODES = FWD3_IRS_TENORS.length; static { FWD3_NODES[0] = IborFixingDepositCurveNode.of(IborFixingDepositTemplate.of(USD_LIBOR_3M), QuoteId.of(StandardId.of(SCHEME, FWD3_ID_VALUE[0]))); IborFutureConvention convention = ImmutableIborFutureConvention.of(USD_LIBOR_3M, DateSequences.QUARTERLY_IMM); for (int i = 0; i < FWD3_NB_FUT_NODES; i++) { IborFutureTemplate template = IborFutureTemplate.of(Period.ofDays(7), FWD3_FUT_SEQ[i], convention); FWD3_NODES[i + 1] = IborFutureCurveNode.of(template, QuoteId.of(StandardId.of(SCHEME, FWD3_ID_VALUE[i + 1]))); } for (int i = 0; i < FWD3_NB_IRS_NODES; i++) { FWD3_NODES[i + 1 + FWD3_NB_FUT_NODES] = FixedIborSwapCurveNode.of( FixedIborSwapTemplate.of(Period.ZERO, Tenor.of(FWD3_IRS_TENORS[i]), USD_FIXED_6M_LIBOR_3M), QuoteId.of(StandardId.of(SCHEME, FWD3_ID_VALUE[i + 1 + FWD3_NB_FUT_NODES]))); } } /** All quotes for the curve calibration */ private static final ImmutableMarketData ALL_QUOTES; static { ImmutableMarketDataBuilder builder = ImmutableMarketData.builder(VAL_DATE); for (int i = 0; i < DSC_NB_NODES; i++) { builder.addValue(QuoteId.of(StandardId.of(SCHEME, DSC_ID_VALUE[i])), DSC_MARKET_QUOTES[i]); } for (int i = 0; i < FWD3_NB_NODES; i++) { builder.addValue(QuoteId.of(StandardId.of(SCHEME, FWD3_ID_VALUE[i])), FWD3_MARKET_QUOTES[i]); } ALL_QUOTES = builder.build(); } /** All nodes by groups. */ private static final List<List<CurveNode[]>> CURVES_NODES = new ArrayList<>(); static { List<CurveNode[]> groupDsc = new ArrayList<>(); groupDsc.add(DSC_NODES); CURVES_NODES.add(groupDsc); List<CurveNode[]> groupFwd3 = new ArrayList<>(); groupFwd3.add(FWD3_NODES); CURVES_NODES.add(groupFwd3); } /** All metadata by groups */ private static final List<List<CurveMetadata>> CURVES_METADATA = new ArrayList<>(); static { List<CurveMetadata> groupDsc = new ArrayList<>(); groupDsc.add(DefaultCurveMetadata.builder().curveName(DSCON_CURVE_NAME).xValueType(ValueType.YEAR_FRACTION) .yValueType(ValueType.ZERO_RATE).dayCount(CURVE_DC).build()); CURVES_METADATA.add(groupDsc); List<CurveMetadata> groupFwd3 = new ArrayList<>(); groupFwd3.add(DefaultCurveMetadata.builder().curveName(FWD3_CURVE_NAME).xValueType(ValueType.YEAR_FRACTION) .yValueType(ValueType.ZERO_RATE).dayCount(CURVE_DC).build()); CURVES_METADATA.add(groupFwd3); } private static final DiscountingIborFixingDepositProductPricer FIXING_PRICER = DiscountingIborFixingDepositProductPricer.DEFAULT; private static final DiscountingIborFutureTradePricer FUT_PRICER = DiscountingIborFutureTradePricer.DEFAULT; private static final DiscountingSwapProductPricer SWAP_PRICER = DiscountingSwapProductPricer.DEFAULT; private static final DiscountingTermDepositProductPricer DEPO_PRICER = DiscountingTermDepositProductPricer.DEFAULT; private static final MarketQuoteSensitivityCalculator MQC = MarketQuoteSensitivityCalculator.DEFAULT; private static final CurveCalibrator CALIBRATOR = CurveCalibrator.of(1e-9, 1e-9, 100); // Constants private static final double TOLERANCE_PV = 1.0E-6; private static final double TOLERANCE_PV_DELTA = 1.0E+3; private static final CurveGroupName CURVE_GROUP_NAME = CurveGroupName.of("USD-DSCON-LIBOR3M"); private static final InterpolatedNodalCurveDefinition DSC_CURVE_DEFN = InterpolatedNodalCurveDefinition.builder() .name(DSCON_CURVE_NAME) .xValueType(ValueType.YEAR_FRACTION) .yValueType(ValueType.ZERO_RATE) .dayCount(CURVE_DC) .interpolator(INTERPOLATOR_LINEAR) .extrapolatorLeft(EXTRAPOLATOR_FLAT) .extrapolatorRight(EXTRAPOLATOR_FLAT) .nodes(DSC_NODES).build(); private static final InterpolatedNodalCurveDefinition FWD3_CURVE_DEFN = InterpolatedNodalCurveDefinition.builder() .name(FWD3_CURVE_NAME) .xValueType(ValueType.YEAR_FRACTION) .yValueType(ValueType.ZERO_RATE) .dayCount(CURVE_DC) .interpolator(INTERPOLATOR_LINEAR) .extrapolatorLeft(EXTRAPOLATOR_FLAT) .extrapolatorRight(EXTRAPOLATOR_FLAT) .nodes(FWD3_NODES).build(); private static final CurveGroupDefinition CURVE_GROUP_CONFIG = CurveGroupDefinition.builder() .name(CURVE_GROUP_NAME) .addCurve(DSC_CURVE_DEFN, USD, USD_FED_FUND) .addForwardCurve(FWD3_CURVE_DEFN, USD_LIBOR_3M).build(); //------------------------------------------------------------------------- public void calibration_present_value_oneGroup() { RatesProvider result = CALIBRATOR.calibrate(CURVE_GROUP_CONFIG, ALL_QUOTES, REF_DATA); assertPresentValue(result); } public void calibration_market_quote_sensitivity_one_group() { double shift = 1.0E-6; Function<MarketData, RatesProvider> f = marketData -> CALIBRATOR.calibrate(CURVE_GROUP_CONFIG, marketData, REF_DATA); calibration_market_quote_sensitivity_check(f, shift); } private void calibration_market_quote_sensitivity_check( Function<MarketData, RatesProvider> calibrator, double shift) { double notional = 100_000_000.0; double spread = 0.0050; SwapTrade trade = FixedIborSwapConventions.USD_FIXED_1Y_LIBOR_3M .createTrade(VAL_DATE, Period.ofMonths(8), Tenor.TENOR_7Y, BuySell.BUY, notional, spread, REF_DATA); RatesProvider result = calibrator.apply(ALL_QUOTES); ResolvedSwap product = trade.getProduct().resolve(REF_DATA); PointSensitivityBuilder pts = SWAP_PRICER.presentValueSensitivity(product, result); CurrencyParameterSensitivities ps = result.parameterSensitivity(pts.build()); CurrencyParameterSensitivities mqs = MQC.sensitivity(ps, result); double pv0 = SWAP_PRICER.presentValue(product, result).getAmount(USD).getAmount(); double[] mqsDscComputed = mqs.getSensitivity(DSCON_CURVE_NAME, USD).getSensitivity().toArray(); for (int i = 0; i < DSC_NB_NODES; i++) { Map<MarketDataId<?>, Object> map = new HashMap<>(ALL_QUOTES.getValues()); map.put(QuoteId.of(StandardId.of(SCHEME, DSC_ID_VALUE[i])), DSC_MARKET_QUOTES[i] + shift); ImmutableMarketData marketData = ImmutableMarketData.of(VAL_DATE, map); RatesProvider rpShifted = calibrator.apply(marketData); double pvS = SWAP_PRICER.presentValue(product, rpShifted).getAmount(USD).getAmount(); assertEquals(mqsDscComputed[i], (pvS - pv0) / shift, TOLERANCE_PV_DELTA, "DSC - node " + i); } double[] mqsFwd3Computed = mqs.getSensitivity(FWD3_CURVE_NAME, USD).getSensitivity().toArray(); for (int i = 0; i < FWD3_NB_NODES; i++) { Map<MarketDataId<?>, Object> map = new HashMap<>(ALL_QUOTES.getValues()); map.put(QuoteId.of(StandardId.of(SCHEME, FWD3_ID_VALUE[i])), FWD3_MARKET_QUOTES[i] + shift); ImmutableMarketData marketData = ImmutableMarketData.of(VAL_DATE, map); RatesProvider rpShifted = calibrator.apply(marketData); double pvS = SWAP_PRICER.presentValue(product, rpShifted).getAmount(USD).getAmount(); assertEquals(mqsFwd3Computed[i], (pvS - pv0) / shift, TOLERANCE_PV_DELTA, "FWD3 - node " + i); } } private void assertPresentValue(RatesProvider result) { // Test PV Dsc CurveNode[] dscNodes = CURVES_NODES.get(0).get(0); List<ResolvedTrade> dscTrades = new ArrayList<>(); for (int i = 0; i < dscNodes.length; i++) { dscTrades.add(dscNodes[i].resolvedTrade(1d, ALL_QUOTES, REF_DATA)); } // Depo for (int i = 0; i < DSC_NB_DEPO_NODES; i++) { CurrencyAmount pvIrs = DEPO_PRICER.presentValue( ((ResolvedTermDepositTrade) dscTrades.get(i)).getProduct(), result); assertEquals(pvIrs.getAmount(), 0.0, TOLERANCE_PV); } // OIS for (int i = 0; i < DSC_NB_OIS_NODES; i++) { MultiCurrencyAmount pvIrs = SWAP_PRICER.presentValue( ((ResolvedSwapTrade) dscTrades.get(DSC_NB_DEPO_NODES + i)).getProduct(), result); assertEquals(pvIrs.getAmount(USD).getAmount(), 0.0, TOLERANCE_PV); } // Test PV Fwd3 CurveNode[] fwd3Nodes = CURVES_NODES.get(1).get(0); List<ResolvedTrade> fwd3Trades = new ArrayList<>(); for (int i = 0; i < fwd3Nodes.length; i++) { fwd3Trades.add(fwd3Nodes[i].resolvedTrade(1d, ALL_QUOTES, REF_DATA)); } // Fixing CurrencyAmount pvFixing3 = FIXING_PRICER.presentValue( ((ResolvedIborFixingDepositTrade) fwd3Trades.get(0)).getProduct(), result); assertEquals(pvFixing3.getAmount(), 0.0, TOLERANCE_PV); // Futures for (int i = 0; i < FWD3_NB_FUT_NODES; i++) { CurrencyAmount pvFut = FUT_PRICER.presentValue( ((ResolvedIborFutureTrade) fwd3Trades.get(i + 1)), result, 0.0); assertEquals(pvFut.getAmount(), 0.0, TOLERANCE_PV); } // IRS for (int i = 0; i < FWD3_NB_IRS_NODES; i++) { MultiCurrencyAmount pvIrs = SWAP_PRICER.presentValue( ((ResolvedSwapTrade) fwd3Trades.get(i + 1 + FWD3_NB_FUT_NODES)).getProduct(), result); assertEquals(pvIrs.getAmount(USD).getAmount(), 0.0, TOLERANCE_PV); } } //------------------------------------------------------------------------- @SuppressWarnings("unused") @Test(enabled = false) void performance() { long startTime, endTime; int nbTests = 100; int nbRep = 3; int count = 0; for (int i = 0; i < nbRep; i++) { startTime = System.currentTimeMillis(); for (int looprep = 0; looprep < nbTests; looprep++) { RatesProvider result = CALIBRATOR.calibrate(CURVE_GROUP_CONFIG, ALL_QUOTES, REF_DATA); count += result.getValuationDate().getDayOfMonth(); } endTime = System.currentTimeMillis(); System.out.println("Performance: " + nbTests + " calibrations for 2 curves with 35 nodes in " + (endTime - startTime) + " ms."); } System.out.println("Avoiding hotspot: " + count); // Previous run: 665 ms for 100 calibrations (2 curves simultaneous - 35 nodes) } }