/** * Copyright (C) 2011 - 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 static org.testng.AssertJUnit.assertTrue; import org.testng.annotations.Test; import org.threeten.bp.Period; import org.threeten.bp.ZonedDateTime; import com.opengamma.analytics.financial.instrument.index.IborIndex; import com.opengamma.analytics.financial.instrument.index.IndexSwap; import com.opengamma.analytics.financial.instrument.swap.SwapFixedIborDefinition; import com.opengamma.analytics.financial.instrument.swaption.SwaptionBermudaFixedIborDefinition; import com.opengamma.analytics.financial.instrument.swaption.SwaptionPhysicalFixedIborDefinition; import com.opengamma.analytics.financial.interestrate.swaption.derivative.SwaptionBermudaFixedIbor; import com.opengamma.analytics.financial.interestrate.swaption.derivative.SwaptionPhysicalFixedIbor; import com.opengamma.analytics.financial.model.interestrate.definition.HullWhiteOneFactorPiecewiseConstantParameters; import com.opengamma.analytics.financial.provider.description.HullWhiteDataSets; import com.opengamma.analytics.financial.provider.description.MulticurveProviderDiscountDataSets; import com.opengamma.analytics.financial.provider.description.interestrate.HullWhiteOneFactorProviderDiscount; import com.opengamma.analytics.financial.provider.description.interestrate.MulticurveProviderDiscount; import com.opengamma.analytics.financial.schedule.ScheduleCalculator; import com.opengamma.financial.convention.calendar.Calendar; import com.opengamma.financial.convention.daycount.DayCount; import com.opengamma.financial.convention.daycount.DayCounts; import com.opengamma.util.money.Currency; import com.opengamma.util.money.MultipleCurrencyAmount; import com.opengamma.util.test.TestGroup; import com.opengamma.util.time.DateUtils; /** * Test the Bermuda swaption pricing in the Hull-White one factor model. */ @Test(groups = TestGroup.UNIT) public class SwaptionBermudaFixedIborHullWhiteNumericalIntegrationMethodTest { private static final MulticurveProviderDiscount MULTICURVES = MulticurveProviderDiscountDataSets.createMulticurveEurUsd(); private static final IborIndex EURIBOR3M = MulticurveProviderDiscountDataSets.getIndexesIborMulticurveEurUsd()[0]; private static final Calendar CALENDAR = MulticurveProviderDiscountDataSets.getEURCalendar(); private static final Currency CUR = EURIBOR3M.getCurrency(); // General private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2011, 7, 22); // Total swap - 5Y semi bond vs quarterly money private static final Period FORWARD_TENOR = Period.ofYears(1); private static final ZonedDateTime SETTLEMENT_DATE = ScheduleCalculator.getAdjustedDate(REFERENCE_DATE, FORWARD_TENOR, EURIBOR3M, CALENDAR); private static final Period SWAP_TENOR = Period.ofYears(5); private static final double NOTIONAL = 123000000; private static final boolean FIXED_IS_PAYER = true; private static final Period FIXED_PAYMENT_PERIOD = Period.ofMonths(6); private static final DayCount FIXED_DAY_COUNT = DayCounts.THIRTY_U_360; private static final IndexSwap CMS_INDEX = new IndexSwap(FIXED_PAYMENT_PERIOD, FIXED_DAY_COUNT, EURIBOR3M, SWAP_TENOR, CALENDAR); private static final double RATE = 0.0200; private static final SwapFixedIborDefinition TOTAL_SWAP_DEFINITION = SwapFixedIborDefinition.from(SETTLEMENT_DATE, CMS_INDEX, NOTIONAL, RATE, FIXED_IS_PAYER, CALENDAR); // Semi-annual expiry private static final boolean IS_LONG = true; private static final int NB_EXPIRY = TOTAL_SWAP_DEFINITION.getFixedLeg().getNumberOfPayments(); private static final ZonedDateTime[] EXPIRY_DATE = new ZonedDateTime[NB_EXPIRY]; private static final SwapFixedIborDefinition[] EXPIRY_SWAP_DEFINITION = new SwapFixedIborDefinition[NB_EXPIRY]; static { for (int loopexp = 0; loopexp < NB_EXPIRY; loopexp++) { EXPIRY_DATE[loopexp] = ScheduleCalculator.getAdjustedDate(TOTAL_SWAP_DEFINITION.getFixedLeg().getNthPayment(loopexp).getAccrualStartDate(), -EURIBOR3M.getSpotLag(), CALENDAR); EXPIRY_SWAP_DEFINITION[loopexp] = TOTAL_SWAP_DEFINITION.trimStart(EXPIRY_DATE[loopexp]); } } private static final SwaptionBermudaFixedIborDefinition BERMUDA_SWAPTION_DEFINITION = new SwaptionBermudaFixedIborDefinition(EXPIRY_SWAP_DEFINITION, IS_LONG, EXPIRY_DATE); // to derivatives private static final HullWhiteOneFactorPiecewiseConstantParameters HW_PARAMETERS = HullWhiteDataSets.createHullWhiteParameters(); private static final HullWhiteOneFactorProviderDiscount HW_MULTICURVES = new HullWhiteOneFactorProviderDiscount(MULTICURVES, HW_PARAMETERS, CUR); private static final SwaptionBermudaFixedIborHullWhiteNumericalIntegrationMethod METHOD_BERMUDA = SwaptionBermudaFixedIborHullWhiteNumericalIntegrationMethod.getInstance(); private static final SwaptionPhysicalFixedIborHullWhiteMethod METHOD_VANILLA = SwaptionPhysicalFixedIborHullWhiteMethod.getInstance(); private static final SwaptionBermudaFixedIbor BERMUDA_SWAPTION = BERMUDA_SWAPTION_DEFINITION.toDerivative(REFERENCE_DATE); private static final double TOLERANCE_PV = 1.0E-2; @Test /** * Test the present value against European swaptions. */ public void presentValue() { final MultipleCurrencyAmount pv = METHOD_BERMUDA.presentValue(BERMUDA_SWAPTION, HW_MULTICURVES); final double pvPrevious = 4477405.551; // Hard-coded - previous run assertEquals("Bermuda swaption vs European", pvPrevious, pv.getAmount(CUR), TOLERANCE_PV); // European swaptions final SwaptionPhysicalFixedIborDefinition[] swaptionEuropeanDefinition = new SwaptionPhysicalFixedIborDefinition[NB_EXPIRY]; final SwaptionPhysicalFixedIbor[] swaptionEuropean = new SwaptionPhysicalFixedIbor[NB_EXPIRY]; final MultipleCurrencyAmount[] pvEuropean = new MultipleCurrencyAmount[NB_EXPIRY]; for (int loopexp = 0; loopexp < NB_EXPIRY; loopexp++) { swaptionEuropeanDefinition[loopexp] = SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE[loopexp], EXPIRY_SWAP_DEFINITION[loopexp], FIXED_IS_PAYER, IS_LONG); swaptionEuropean[loopexp] = swaptionEuropeanDefinition[loopexp].toDerivative(REFERENCE_DATE); pvEuropean[loopexp] = METHOD_VANILLA.presentValue(swaptionEuropean[loopexp], HW_MULTICURVES); assertTrue("Bermuda swaption vs European", pv.getAmount(CUR) >= pvEuropean[loopexp].getAmount(CUR)); } } //TODO: test present value with external values @Test /** * Test the present value long/short parity. */ public void longShortParity() { final MultipleCurrencyAmount pvLong = METHOD_BERMUDA.presentValue(BERMUDA_SWAPTION, HW_MULTICURVES); final SwaptionBermudaFixedIborDefinition bermudaShortDefinition = new SwaptionBermudaFixedIborDefinition(EXPIRY_SWAP_DEFINITION, !IS_LONG, EXPIRY_DATE); final SwaptionBermudaFixedIbor bermudShort = bermudaShortDefinition.toDerivative(REFERENCE_DATE); final MultipleCurrencyAmount pvShort = METHOD_BERMUDA.presentValue(bermudShort, HW_MULTICURVES); assertEquals("Bermuda swaption pv: short/long parity", pvLong.getAmount(CUR), -pvShort.getAmount(CUR), TOLERANCE_PV); } @Test(enabled = false) /** * Tests of performance. "enabled = false" for the standard testing. */ public void performance() { long startTime, endTime; final int nbTest = 20; // Creates different swaptions final SwapFixedIborDefinition[] swapDefinition = new SwapFixedIborDefinition[nbTest]; final SwapFixedIborDefinition[][] swapExpiryDefinition = new SwapFixedIborDefinition[nbTest][NB_EXPIRY]; final SwaptionBermudaFixedIborDefinition[] swaptionBermudaDefinition = new SwaptionBermudaFixedIborDefinition[nbTest]; final SwaptionBermudaFixedIbor[] swaptionBermuda = new SwaptionBermudaFixedIbor[nbTest]; for (int looptest = 0; looptest < nbTest; looptest++) { swapDefinition[looptest] = SwapFixedIborDefinition.from(SETTLEMENT_DATE, CMS_INDEX, NOTIONAL, RATE + looptest * 0.0010 / nbTest, FIXED_IS_PAYER, CALENDAR); for (int loopexp = 0; loopexp < NB_EXPIRY; loopexp++) { swapExpiryDefinition[looptest][loopexp] = swapDefinition[looptest].trimStart(EXPIRY_DATE[loopexp]); } swaptionBermudaDefinition[looptest] = new SwaptionBermudaFixedIborDefinition(swapExpiryDefinition[looptest], IS_LONG, EXPIRY_DATE); swaptionBermuda[looptest] = swaptionBermudaDefinition[looptest].toDerivative(REFERENCE_DATE); } // Loop for pricing final MultipleCurrencyAmount[] pv = new MultipleCurrencyAmount[nbTest]; startTime = System.currentTimeMillis(); for (int looptest = 0; looptest < nbTest; looptest++) { pv[looptest] = METHOD_BERMUDA.presentValue(swaptionBermuda[looptest], HW_MULTICURVES); } endTime = System.currentTimeMillis(); System.out.println(nbTest + " pv Bermuda swaption Hull-White numerical integration method: " + (endTime - startTime) + " ms"); // Performance note: HW price: 19-Jan-12: On Mac Pro 3.2 GHz Quad-Core Intel Xeon: 480 ms for 20 swaptions. double total = 0.0; for (int looptest = 0; looptest < nbTest; looptest++) { total += pv[looptest].getAmount(CUR); } assertEquals("Bermuda swaption pv performance", pv[nbTest / 2].getAmount(CUR), total / nbTest, 1.0E+5); } }