/** * Copyright (C) 2015 - present by OpenGamma Inc. and the OpenGamma group of companies * * Please see distribution for license. */ package com.opengamma.strata.pricer.impl.rate; import static com.opengamma.strata.basics.index.PriceIndices.GB_RPIX; import static com.opengamma.strata.collect.TestHelper.date; import static java.time.temporal.TemporalAdjusters.lastDayOfMonth; import static org.testng.Assert.assertEquals; import static org.testng.Assert.assertTrue; import java.time.LocalDate; import java.time.YearMonth; import java.util.Optional; import org.testng.annotations.Test; import com.opengamma.strata.basics.index.PriceIndexObservation; import com.opengamma.strata.collect.array.DoubleArray; import com.opengamma.strata.collect.timeseries.LocalDateDoubleTimeSeries; import com.opengamma.strata.market.curve.Curves; import com.opengamma.strata.market.curve.InterpolatedNodalCurve; import com.opengamma.strata.market.curve.interpolator.CurveInterpolator; import com.opengamma.strata.market.curve.interpolator.CurveInterpolators; import com.opengamma.strata.market.explain.ExplainKey; import com.opengamma.strata.market.explain.ExplainMap; import com.opengamma.strata.market.explain.ExplainMapBuilder; import com.opengamma.strata.market.sensitivity.PointSensitivityBuilder; import com.opengamma.strata.pricer.rate.ImmutableRatesProvider; import com.opengamma.strata.pricer.rate.InflationRateSensitivity; import com.opengamma.strata.product.rate.InflationMonthlyRateComputation; /** * Test {@link ForwardInflationMonthlyRateComputationFn}. */ @Test public class ForwardInflationMonthlyRateComputationFnTest { private static final CurveInterpolator INTERPOLATOR = CurveInterpolators.LINEAR; private static final LocalDate VAL_DATE = LocalDate.of(2014, 6, 10); private static final LocalDate DUMMY_ACCRUAL_START_DATE = date(2015, 1, 4); // Accrual dates irrelevant for the rate private static final LocalDate DUMMY_ACCRUAL_END_DATE = date(2016, 1, 5); // Accrual dates irrelevant for the rate private static final YearMonth REFERENCE_START_MONTH = YearMonth.of(2014, 10); private static final YearMonth REFERENCE_END_MONTH = YearMonth.of(2015, 10); private static final double RATE_START = 317.0; private static final double RATE_END = 344.0; private static final double EPS = 1.0e-12; private static final double EPS_FD = 1.0e-4; //------------------------------------------------------------------------- public void test_rate() { ImmutableRatesProvider prov = createProvider(RATE_START, RATE_END); InflationMonthlyRateComputation ro = InflationMonthlyRateComputation.of(GB_RPIX, REFERENCE_START_MONTH, REFERENCE_END_MONTH); ForwardInflationMonthlyRateComputationFn obsFn = ForwardInflationMonthlyRateComputationFn.DEFAULT; double rateExpected = RATE_END / RATE_START - 1.0; assertEquals(obsFn.rate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, prov), rateExpected, EPS); // explain ExplainMapBuilder builder = ExplainMap.builder(); assertEquals(obsFn.explainRate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, prov, builder), rateExpected, EPS); ExplainMap built = builder.build(); assertEquals(built.get(ExplainKey.OBSERVATIONS).isPresent(), true); assertEquals(built.get(ExplainKey.OBSERVATIONS).get().size(), 2); ExplainMap explain0 = built.get(ExplainKey.OBSERVATIONS).get().get(0); assertEquals(explain0.get(ExplainKey.FIXING_DATE), Optional.of(REFERENCE_START_MONTH.atEndOfMonth())); assertEquals(explain0.get(ExplainKey.INDEX), Optional.of(GB_RPIX)); assertEquals(explain0.get(ExplainKey.INDEX_VALUE), Optional.of(RATE_START)); ExplainMap explain1 = built.get(ExplainKey.OBSERVATIONS).get().get(1); assertEquals(explain1.get(ExplainKey.FIXING_DATE), Optional.of(REFERENCE_END_MONTH.atEndOfMonth())); assertEquals(explain1.get(ExplainKey.INDEX), Optional.of(GB_RPIX)); assertEquals(explain1.get(ExplainKey.INDEX_VALUE), Optional.of(RATE_END)); assertEquals(built.get(ExplainKey.COMBINED_RATE).get().doubleValue(), rateExpected, EPS); } //------------------------------------------------------------------------- public void test_rateSensitivity() { ImmutableRatesProvider prov = createProvider(RATE_START, RATE_END); ImmutableRatesProvider provStartUp = createProvider(RATE_START + EPS_FD, RATE_END); ImmutableRatesProvider provStartDw = createProvider(RATE_START - EPS_FD, RATE_END); ImmutableRatesProvider provEndUp = createProvider(RATE_START, RATE_END + EPS_FD); ImmutableRatesProvider provEndDw = createProvider(RATE_START, RATE_END - EPS_FD); InflationMonthlyRateComputation ro = InflationMonthlyRateComputation.of(GB_RPIX, REFERENCE_START_MONTH, REFERENCE_END_MONTH); ForwardInflationMonthlyRateComputationFn obsFn = ForwardInflationMonthlyRateComputationFn.DEFAULT; double rateSrtUp = obsFn.rate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, provStartUp); double rateSrtDw = obsFn.rate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, provStartDw); double rateEndUp = obsFn.rate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, provEndUp); double rateEndDw = obsFn.rate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, provEndDw); PointSensitivityBuilder sensiStr = InflationRateSensitivity.of( PriceIndexObservation.of(GB_RPIX, REFERENCE_START_MONTH), 0.5 * (rateSrtUp - rateSrtDw) / EPS_FD); PointSensitivityBuilder sensiEnd = InflationRateSensitivity.of( PriceIndexObservation.of(GB_RPIX, REFERENCE_END_MONTH), 0.5 * (rateEndUp - rateEndDw) / EPS_FD); PointSensitivityBuilder sensiExpected = sensiStr.combinedWith(sensiEnd); PointSensitivityBuilder sensiComputed = obsFn.rateSensitivity(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, prov); assertTrue(sensiComputed.build().normalized().equalWithTolerance(sensiExpected.build().normalized(), EPS_FD)); } private ImmutableRatesProvider createProvider( double rateStart, double rateEnd) { LocalDateDoubleTimeSeries timeSeries = LocalDateDoubleTimeSeries.of(VAL_DATE.with(lastDayOfMonth()), 300); InterpolatedNodalCurve curve = InterpolatedNodalCurve.of( Curves.prices("GB-RPIX"), DoubleArray.of(4, 16), DoubleArray.of(rateStart, rateEnd), INTERPOLATOR); return ImmutableRatesProvider.builder(VAL_DATE) .priceIndexCurve(GB_RPIX, curve) .timeSeries(GB_RPIX, timeSeries) .build(); } }