/** * Copyright (C) 2015 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.strata.pricer.bond; import static com.opengamma.strata.basics.currency.Currency.USD; import static com.opengamma.strata.basics.date.DayCounts.ACT_365F; import static com.opengamma.strata.collect.TestHelper.coverBeanEquals; import static com.opengamma.strata.collect.TestHelper.coverImmutableBean; import static com.opengamma.strata.collect.TestHelper.date; import static com.opengamma.strata.collect.TestHelper.dateUtc; import static com.opengamma.strata.market.curve.interpolator.CurveInterpolators.LINEAR; import static org.testng.Assert.assertEquals; import java.time.LocalDate; import java.time.LocalTime; import java.time.ZoneId; import java.time.ZonedDateTime; import java.util.ArrayList; import java.util.List; import org.testng.annotations.Test; import com.opengamma.strata.collect.array.DoubleArray; import com.opengamma.strata.market.ValueType; import com.opengamma.strata.market.option.LogMoneynessStrike; import com.opengamma.strata.market.param.CurrencyParameterSensitivity; import com.opengamma.strata.market.surface.DefaultSurfaceMetadata; import com.opengamma.strata.market.surface.InterpolatedNodalSurface; import com.opengamma.strata.market.surface.SurfaceMetadata; import com.opengamma.strata.market.surface.SurfaceName; import com.opengamma.strata.market.surface.interpolator.GridSurfaceInterpolator; import com.opengamma.strata.market.surface.interpolator.SurfaceInterpolator; import com.opengamma.strata.pricer.common.GenericVolatilitySurfaceYearFractionParameterMetadata; /** * Test {@link BlackBondFutureExpiryLogMoneynessVolatilities}. */ @Test public class BlackBondFutureExpiryLogMoneynessVolatilitiesTest { private static final SurfaceInterpolator INTERPOLATOR_2D = GridSurfaceInterpolator.of(LINEAR, LINEAR); private static final DoubleArray TIME = DoubleArray.of(0.25, 0.25, 0.25, 0.25, 0.50, 0.50, 0.50, 0.50, 1.00, 1.00, 1.00, 1.00); private static final DoubleArray MONEYNESS = DoubleArray.of(-0.02, -0.01, 0.00, 0.01, -0.02, -0.01, 0.00, 0.01, -0.02, -0.01, 0.00, 0.01); private static final DoubleArray VOL = DoubleArray.of(0.01, 0.011, 0.012, 0.010, 0.011, 0.012, 0.013, 0.012, 0.012, 0.013, 0.014, 0.014); private static final SurfaceMetadata METADATA; static { List<GenericVolatilitySurfaceYearFractionParameterMetadata> list = new ArrayList<GenericVolatilitySurfaceYearFractionParameterMetadata>(); int nData = TIME.size(); for (int i = 0; i < nData; ++i) { GenericVolatilitySurfaceYearFractionParameterMetadata parameterMetadata = GenericVolatilitySurfaceYearFractionParameterMetadata.of( TIME.get(i), LogMoneynessStrike.of(MONEYNESS.get(i))); list.add(parameterMetadata); } METADATA = DefaultSurfaceMetadata.builder() .surfaceName(SurfaceName.of("GOVT1-BOND-FUT-VOL")) .xValueType(ValueType.YEAR_FRACTION) .yValueType(ValueType.LOG_MONEYNESS) .zValueType(ValueType.BLACK_VOLATILITY) .dayCount(ACT_365F) .parameterMetadata(list) .build(); } private static final InterpolatedNodalSurface SURFACE = InterpolatedNodalSurface.of(METADATA, TIME, MONEYNESS, VOL, INTERPOLATOR_2D); private static final LocalDate VAL_DATE = date(2015, 2, 17); private static final LocalTime VAL_TIME = LocalTime.of(13, 45); private static final ZoneId LONDON_ZONE = ZoneId.of("Europe/London"); private static final ZonedDateTime VAL_DATE_TIME = VAL_DATE.atTime(VAL_TIME).atZone(LONDON_ZONE); private static final BlackBondFutureExpiryLogMoneynessVolatilities VOLS = BlackBondFutureExpiryLogMoneynessVolatilities.of(VAL_DATE_TIME, SURFACE); private static final ZonedDateTime[] TEST_OPTION_EXPIRY = new ZonedDateTime[] { dateUtc(2015, 2, 17), dateUtc(2015, 5, 17), dateUtc(2015, 6, 17), dateUtc(2017, 2, 17)}; private static final int NB_TEST = TEST_OPTION_EXPIRY.length; private static final LocalDate[] TEST_FUTURE_EXPIRY = new LocalDate[] {date(2015, 2, 17), date(2015, 5, 17), date(2015, 5, 17), date(2015, 5, 17)}; private static final double[] TEST_STRIKE_PRICE = new double[] {0.985, 0.985, 0.985, 0.985}; private static final double[] TEST_FUTURE_PRICE = new double[] {0.98, 0.985, 1.00, 1.01}; // private static final double[] TEST_SENSITIVITY = new double[] {9.2, 16.0, 1.8, 5.7 }; private static final double[] TEST_SENSITIVITY = new double[] {1.0, 1.0, 1.0, 1.0}; private static final double TOLERANCE_VOL = 1.0E-10; //------------------------------------------------------------------------- public void test_valuationDate() { assertEquals(VOLS.getValuationDateTime(), VAL_DATE_TIME); } public void test_volatility() { for (int i = 0; i < NB_TEST; i++) { double expiryTime = VOLS.relativeTime(TEST_OPTION_EXPIRY[i]); double volExpected = SURFACE.zValue(expiryTime, Math.log(TEST_STRIKE_PRICE[i] / TEST_FUTURE_PRICE[i])); double volComputed = VOLS.volatility( TEST_OPTION_EXPIRY[i], TEST_FUTURE_EXPIRY[i], TEST_STRIKE_PRICE[i], TEST_FUTURE_PRICE[i]); assertEquals(volComputed, volExpected, TOLERANCE_VOL); } } public void test_volatility_sensitivity() { double eps = 1.0e-6; int nData = TIME.size(); for (int i = 0; i < NB_TEST; i++) { double expiry = VOLS.relativeTime(TEST_OPTION_EXPIRY[i]); BondFutureOptionSensitivity point = BondFutureOptionSensitivity.of( VOLS.getName(), expiry, TEST_FUTURE_EXPIRY[i], TEST_STRIKE_PRICE[i], TEST_FUTURE_PRICE[i], USD, TEST_SENSITIVITY[i]); CurrencyParameterSensitivity sensActual = VOLS.parameterSensitivity(point).getSensitivities().get(0); double[] computed = sensActual.getSensitivity().toArray(); for (int j = 0; j < nData; j++) { DoubleArray volDataUp = VOL.with(j, VOL.get(j) + eps); DoubleArray volDataDw = VOL.with(j, VOL.get(j) - eps); InterpolatedNodalSurface paramUp = InterpolatedNodalSurface.of(METADATA, TIME, MONEYNESS, volDataUp, INTERPOLATOR_2D); InterpolatedNodalSurface paramDw = InterpolatedNodalSurface.of(METADATA, TIME, MONEYNESS, volDataDw, INTERPOLATOR_2D); BlackBondFutureExpiryLogMoneynessVolatilities provUp = BlackBondFutureExpiryLogMoneynessVolatilities.of( VAL_DATE_TIME, paramUp); BlackBondFutureExpiryLogMoneynessVolatilities provDw = BlackBondFutureExpiryLogMoneynessVolatilities.of( VAL_DATE_TIME, paramDw); double volUp = provUp.volatility( expiry, TEST_FUTURE_EXPIRY[i], TEST_STRIKE_PRICE[i], TEST_FUTURE_PRICE[i]); double volDw = provDw.volatility( expiry, TEST_FUTURE_EXPIRY[i], TEST_STRIKE_PRICE[i], TEST_FUTURE_PRICE[i]); double fd = 0.5 * (volUp - volDw) / eps; assertEquals(computed[j], fd, eps); } } } //------------------------------------------------------------------------- public void coverage() { BlackBondFutureExpiryLogMoneynessVolatilities test1 = BlackBondFutureExpiryLogMoneynessVolatilities.of( VAL_DATE_TIME, SURFACE); coverImmutableBean(test1); BlackBondFutureExpiryLogMoneynessVolatilities test2 = BlackBondFutureExpiryLogMoneynessVolatilities.of( VAL_DATE_TIME.plusDays(1), SURFACE.withParameter(0, 1d)); coverBeanEquals(test1, test2); } }