Package com.opengamma.analytics.financial.interestrate.swaption.provider

Source Code of com.opengamma.analytics.financial.interestrate.swaption.provider.SwaptionBermudaFixedIborHullWhiteNumericalIntegrationMethodTest

/**
* 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.DayCountFactory;
import com.opengamma.util.money.Currency;
import com.opengamma.util.money.MultipleCurrencyAmount;
import com.opengamma.util.time.DateUtils;

/**
* Test the Bermuda swaption pricing in the Hull-White one factor model.
*/
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 = DayCountFactory.INSTANCE.getDayCount("30/360");
  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], 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);
  }

}
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