/** * Copyright (C) 2016 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.strata.examples.finance; import static com.opengamma.strata.basics.date.DayCounts.ACT_365F; import static com.opengamma.strata.examples.finance.SwaptionCubeData.DATA_ARRAY_FULL; import static com.opengamma.strata.examples.finance.SwaptionCubeData.DATA_ARRAY_SPARSE; import static com.opengamma.strata.examples.finance.SwaptionCubeData.EXPIRIES; import static com.opengamma.strata.examples.finance.SwaptionCubeData.MONEYNESS; import static com.opengamma.strata.examples.finance.SwaptionCubeData.TENORS; import static com.opengamma.strata.market.ValueType.NORMAL_VOLATILITY; import static com.opengamma.strata.market.ValueType.SIMPLE_MONEYNESS; import static com.opengamma.strata.market.curve.interpolator.CurveInterpolators.LINEAR; import static com.opengamma.strata.product.swap.type.FixedIborSwapConventions.EUR_FIXED_1Y_EURIBOR_6M; import java.time.LocalDate; import java.time.ZoneId; import java.time.ZonedDateTime; import java.time.temporal.ChronoUnit; import java.util.Map; import java.util.TreeMap; import com.google.common.collect.ImmutableList; import com.opengamma.strata.basics.ReferenceData; import com.opengamma.strata.basics.date.Tenor; import com.opengamma.strata.collect.array.DoubleMatrix; import com.opengamma.strata.collect.io.ResourceLocator; import com.opengamma.strata.data.ImmutableMarketData; import com.opengamma.strata.loader.csv.QuotesCsvLoader; import com.opengamma.strata.loader.csv.RatesCalibrationCsvLoader; 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.observable.QuoteId; import com.opengamma.strata.market.surface.ConstantSurface; import com.opengamma.strata.market.surface.DefaultSurfaceMetadata; import com.opengamma.strata.market.surface.Surface; import com.opengamma.strata.market.surface.SurfaceMetadata; import com.opengamma.strata.market.surface.interpolator.GridSurfaceInterpolator; import com.opengamma.strata.market.surface.interpolator.SurfaceInterpolator; import com.opengamma.strata.pricer.curve.CalibrationMeasures; import com.opengamma.strata.pricer.curve.CurveCalibrator; import com.opengamma.strata.pricer.impl.option.NormalFormulaRepository; import com.opengamma.strata.pricer.option.RawOptionData; import com.opengamma.strata.pricer.option.TenorRawOptionData; import com.opengamma.strata.pricer.rate.RatesProvider; import com.opengamma.strata.pricer.swap.DiscountingSwapProductPricer; import com.opengamma.strata.pricer.swaption.SabrParametersSwaptionVolatilities; import com.opengamma.strata.pricer.swaption.SabrSwaptionCalibrator; import com.opengamma.strata.pricer.swaption.SabrSwaptionDefinition; import com.opengamma.strata.pricer.swaption.SwaptionVolatilitiesName; import com.opengamma.strata.product.common.BuySell; import com.opengamma.strata.product.swap.SwapTrade; /** * Analysis of swaption cube calibration with shifted SABR smile function. */ public class SabrSwaptionCubeCalibrationExample { private static final ReferenceData REF_DATA = ReferenceData.standard(); private static final LocalDate CALIBRATION_DATE = LocalDate.of(2016, 2, 29); private static final ZonedDateTime CALIBRATION_TIME = CALIBRATION_DATE.atTime(10, 0).atZone(ZoneId.of("Europe/Berlin")); private static final SabrSwaptionCalibrator SABR_CALIBRATION = SabrSwaptionCalibrator.DEFAULT; private static final String BASE_DIR = "src/main/resources/"; private static final String GROUPS_FILE = "example-calibration/curves/EUR-DSCONOIS-E3BS-E6IRS-group.csv"; private static final String SETTINGS_FILE = "example-calibration/curves/EUR-DSCONOIS-E3BS-E6IRS-settings.csv"; private static final String NODES_FILE = "example-calibration/curves/EUR-DSCONOIS-E3BS-E6IRS-nodes.csv"; private static final String QUOTES_FILE = "example-calibration/quotes/quotes-20160229-eur.csv"; private static final CurveGroupDefinition CONFIGS = RatesCalibrationCsvLoader.load( ResourceLocator.of(BASE_DIR + GROUPS_FILE), ResourceLocator.of(BASE_DIR + SETTINGS_FILE), ResourceLocator.of(BASE_DIR + NODES_FILE)).get(CurveGroupName.of("EUR-DSCONOIS-E3BS-E6IRS")); private static final Map<QuoteId, Double> MAP_MQ = QuotesCsvLoader.load(CALIBRATION_DATE, ImmutableList.of(ResourceLocator.of(BASE_DIR + QUOTES_FILE))); private static final ImmutableMarketData MARKET_QUOTES = ImmutableMarketData.of(CALIBRATION_DATE, MAP_MQ); private static final CalibrationMeasures CALIBRATION_MEASURES = CalibrationMeasures.PAR_SPREAD; private static final CurveCalibrator CALIBRATOR = CurveCalibrator.of(1e-9, 1e-9, 100, CALIBRATION_MEASURES); private static final RatesProvider MULTICURVE = CALIBRATOR.calibrate(CONFIGS, MARKET_QUOTES, REF_DATA); private static final DiscountingSwapProductPricer SWAP_PRICER = DiscountingSwapProductPricer.DEFAULT; private static final int NB_EXPIRIES = EXPIRIES.size(); private static final int NB_TENORS = TENORS.size(); private static final TenorRawOptionData DATA_FULL = rawData(DATA_ARRAY_FULL); private static final TenorRawOptionData DATA_SPARSE = rawData(DATA_ARRAY_SPARSE); private static final SurfaceInterpolator INTERPOLATOR_2D = GridSurfaceInterpolator.of(LINEAR, LINEAR); private static final SwaptionVolatilitiesName NAME_SABR = SwaptionVolatilitiesName.of("Calibrated-SABR"); private static final SabrSwaptionDefinition DEFINITION = SabrSwaptionDefinition.of(NAME_SABR, EUR_FIXED_1Y_EURIBOR_6M, ACT_365F, INTERPOLATOR_2D); //------------------------------------------------------------------------- /** * Runs the calibration of swaptions and print the calibrated smile results on the console. * * @param args -s to use the sparse data, i.e. a cube with missing data points */ public static void main(String[] args) { // select data TenorRawOptionData data = DATA_FULL; if (args.length > 0) { if (args[0].equals("-s")) { data = DATA_SPARSE; } } System.out.println("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); System.out.println("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; } double[][][] strikesGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1]; double[][][] volLNGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1]; double[][][] volNGraph = new double[NB_TENORS][NB_EXPIRIES][nbStrikesGraph + 1]; double[][] parRate = new double[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.getFloatingLeg().getStartDateBusinessDayAdjustment() .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).getProduct(), 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"; } System.out.println(svn); } private static TenorRawOptionData rawData(double[][][] dataArray) { Map<Tenor, RawOptionData> raw = new TreeMap<>(); for (int looptenor = 0; looptenor < dataArray.length; looptenor++) { DoubleMatrix matrix = DoubleMatrix.ofUnsafe(dataArray[looptenor]); raw.put(TENORS.get(looptenor), RawOptionData.of(EXPIRIES, MONEYNESS, SIMPLE_MONEYNESS, matrix, NORMAL_VOLATILITY)); } return TenorRawOptionData.of(raw); } }