static {
CurveInterpolator interp = CurveInterpolators.DOUBLE_QUADRATIC;
DoubleArray time_gbp = DoubleArray.of(0.0, 0.1, 0.25, 0.5, 0.75, 1.0, 2.0);
DoubleArray rate_gbp = DoubleArray.of(0.0160, 0.0165, 0.0155, 0.0155, 0.0155, 0.0150, 0.014);
InterpolatedNodalCurve dscCurve =
InterpolatedNodalCurve.of(
Curves.zeroRates("GBP-Discount", DAY_COUNT), time_gbp, rate_gbp, interp);
DoubleArray time_index = DoubleArray.of(0.0, 0.25, 0.5, 1.0);
DoubleArray rate_index = DoubleArray.of(0.0180, 0.0180, 0.0175, 0.0165);
InterpolatedNodalCurve indexCurve =
InterpolatedNodalCurve.of(
Curves.zeroRates("GBP-GBPIBOR3M", DAY_COUNT), time_index, rate_index, interp);
IMM_PROV =
ImmutableRatesProvider.builder()
.valuationDate(VAL_DATE)
.discountCurves(ImmutableMap.of(GBP, dscCurve))
.indexCurves(ImmutableMap.of(GBP_LIBOR_3M, indexCurve))
.build();
}
/** Test parameter sensitivity with finite difference sensitivity calculator. No cutoff period. */
public void rateChfNoCutOffParameterSensitivity() {
LocalDate[] valuationDate = {date(2015, 1, 1), date(2015, 1, 8)};
double[] time = new double[] {0.0, 0.5, 1.0, 2.0, 5.0, 10.0};
double[] rate = new double[] {0.0100, 0.0110, 0.0115, 0.0130, 0.0135, 0.0135};
for (int loopvaldate = 0; loopvaldate < 2; loopvaldate++) {
Curve onCurve =
InterpolatedNodalCurve.of(Curves.zeroRates("ON", ACT_ACT_ISDA), time, rate, INTERPOLATOR);
ImmutableRatesProvider prov =
ImmutableRatesProvider.builder()
.valuationDate(valuationDate[loopvaldate])
.indexCurves(ImmutableMap.of(CHF_TOIS, onCurve))
.timeSeries(ImmutableMap.of(CHF_TOIS, TIME_SERIES_BUILDER.build()))
.build();
OvernightAveragedRateObservation ro =
OvernightAveragedRateObservation.of(CHF_TOIS, FIXING_START_DATE, FIXING_END_DATE, 0);
ForwardOvernightAveragedRateObservationFn obsFn =
ForwardOvernightAveragedRateObservationFn.DEFAULT;
PointSensitivityBuilder sensitivityBuilderComputed =
obsFn.rateSensitivity(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, prov);
CurveCurrencyParameterSensitivities parameterSensitivityComputed =
prov.curveParameterSensitivity(sensitivityBuilderComputed.build());
CurveCurrencyParameterSensitivities parameterSensitivityExpected =
CAL_FD.sensitivity(
prov,
(p) ->
CurrencyAmount.of(
CHF_TOIS.getCurrency(),
obsFn.rate(ro, DUMMY_ACCRUAL_START_DATE, DUMMY_ACCRUAL_END_DATE, (p))));
assertTrue(
parameterSensitivityComputed.equalWithTolerance(
parameterSensitivityExpected, EPS_FD * 10.0));
}
}
/** Test {@link IssuerCurveDiscountFactors}. */
@Test
public class IssuerCurveDiscountFactorsTest {
private static final LocalDate DATE = date(2015, 6, 4);
private static final LocalDate DATE_AFTER = date(2015, 7, 30);
private static final CurveInterpolator INTERPOLATOR = CurveInterpolators.LINEAR;
private static final CurveName NAME = CurveName.of("TestCurve");
private static final CurveMetadata METADATA = Curves.zeroRates(NAME, ACT_365F);
private static final InterpolatedNodalCurve CURVE =
InterpolatedNodalCurve.of(
METADATA, DoubleArray.of(0, 10), DoubleArray.of(1, 2), INTERPOLATOR);
private static final DiscountFactors DSC_FACTORS = ZeroRateDiscountFactors.of(GBP, DATE, CURVE);
private static final LegalEntityGroup GROUP = LegalEntityGroup.of("ISSUER1");
public void test_of() {
IssuerCurveDiscountFactors test = IssuerCurveDiscountFactors.of(DSC_FACTORS, GROUP);
assertEquals(test.getLegalEntityGroup(), GROUP);
assertEquals(test.getCurrency(), GBP);
assertEquals(test.getCurveName(), NAME);
assertEquals(test.getParameterCount(), 2);
assertEquals(test.getValuationDate(), DATE);
assertEquals(test.discountFactor(DATE_AFTER), DSC_FACTORS.discountFactor(DATE_AFTER));
}
public void test_zeroRatePointSensitivity() {
IssuerCurveDiscountFactors base = IssuerCurveDiscountFactors.of(DSC_FACTORS, GROUP);
IssuerCurveZeroRateSensitivity expected =
IssuerCurveZeroRateSensitivity.of(DSC_FACTORS.zeroRatePointSensitivity(DATE_AFTER), GROUP);
IssuerCurveZeroRateSensitivity computed = base.zeroRatePointSensitivity(DATE_AFTER);
assertEquals(computed, expected);
}
public void test_zeroRatePointSensitivity_USD() {
IssuerCurveDiscountFactors base = IssuerCurveDiscountFactors.of(DSC_FACTORS, GROUP);
IssuerCurveZeroRateSensitivity expected =
IssuerCurveZeroRateSensitivity.of(
DSC_FACTORS.zeroRatePointSensitivity(DATE_AFTER, USD), GROUP);
IssuerCurveZeroRateSensitivity computed = base.zeroRatePointSensitivity(DATE_AFTER, USD);
assertEquals(computed, expected);
}
public void test_curveParameterSensitivity() {
IssuerCurveDiscountFactors base = IssuerCurveDiscountFactors.of(DSC_FACTORS, GROUP);
IssuerCurveZeroRateSensitivity sensi = base.zeroRatePointSensitivity(DATE_AFTER, USD);
CurveCurrencyParameterSensitivities computed = base.curveParameterSensitivity(sensi);
CurveCurrencyParameterSensitivities expected =
DSC_FACTORS.curveParameterSensitivity(
DSC_FACTORS.zeroRatePointSensitivity(DATE_AFTER, USD));
assertEquals(computed, expected);
}
// -------------------------------------------------------------------------
public void coverage() {
IssuerCurveDiscountFactors test1 = IssuerCurveDiscountFactors.of(DSC_FACTORS, GROUP);
coverImmutableBean(test1);
IssuerCurveDiscountFactors test2 =
IssuerCurveDiscountFactors.of(
ZeroRateDiscountFactors.of(USD, DATE, CURVE), LegalEntityGroup.of("ISSUER2"));
coverBeanEquals(test1, test2);
}
}
/** Test {@link DiscountFxForwardRates}. */
@Test
public class DiscountFxForwardRatesTest {
private static final LocalDate DATE_VAL = date(2015, 6, 4);
private static final LocalDate DATE_REF = date(2015, 7, 30);
private static final FxRate FX_RATE = FxRate.of(GBP, USD, 1.5d);
private static final CurrencyPair CURRENCY_PAIR = CurrencyPair.of(GBP, USD);
private static final CurveInterpolator INTERPOLATOR = CurveInterpolators.LINEAR;
private static final CurveMetadata METADATA1 = Curves.zeroRates("TestCurve", ACT_365F);
private static final CurveMetadata METADATA2 = Curves.zeroRates("TestCurveUSD", ACT_365F);
private static final InterpolatedNodalCurve CURVE1 =
InterpolatedNodalCurve.of(
METADATA1, DoubleArray.of(0, 10), DoubleArray.of(0.01, 0.02), INTERPOLATOR);
private static final InterpolatedNodalCurve CURVE2 =
InterpolatedNodalCurve.of(
METADATA2, DoubleArray.of(0, 10), DoubleArray.of(0.015, 0.025), INTERPOLATOR);
private static final ZeroRateDiscountFactors DFCURVE_GBP =
ZeroRateDiscountFactors.of(GBP, DATE_VAL, CURVE1);
private static final ZeroRateDiscountFactors DFCURVE_GBP2 =
ZeroRateDiscountFactors.of(GBP, DATE_VAL, CURVE2);
private static final ZeroRateDiscountFactors DFCURVE_USD =
ZeroRateDiscountFactors.of(USD, DATE_VAL, CURVE2);
private static final ZeroRateDiscountFactors DFCURVE_USD2 =
ZeroRateDiscountFactors.of(USD, DATE_VAL, CURVE1);
// -------------------------------------------------------------------------
public void test_of() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
assertEquals(test.getCurrencyPair(), CURRENCY_PAIR);
assertEquals(test.getValuationDate(), DATE_VAL);
assertEquals(test.getBaseCurrencyDiscountFactors(), DFCURVE_GBP);
assertEquals(test.getCounterCurrencyDiscountFactors(), DFCURVE_USD);
assertEquals(test.getFxRateProvider(), FX_RATE);
assertEquals(test.findData(CURVE1.getName()), Optional.of(CURVE1));
assertEquals(test.findData(CURVE2.getName()), Optional.of(CURVE2));
assertEquals(test.findData(CurveName.of("Rubbish")), Optional.empty());
int baseSize = DFCURVE_USD.getParameterCount();
assertEquals(test.getParameterCount(), DFCURVE_GBP.getParameterCount() + baseSize);
assertEquals(test.getParameter(0), DFCURVE_GBP.getParameter(0));
assertEquals(test.getParameter(baseSize), DFCURVE_USD.getParameter(0));
assertEquals(test.getParameterMetadata(0), DFCURVE_GBP.getParameterMetadata(0));
assertEquals(test.getParameterMetadata(baseSize), DFCURVE_USD.getParameterMetadata(0));
assertEquals(
test.withParameter(0, 1d).getBaseCurrencyDiscountFactors(),
DFCURVE_GBP.withParameter(0, 1d));
assertEquals(test.withParameter(0, 1d).getCounterCurrencyDiscountFactors(), DFCURVE_USD);
assertEquals(test.withParameter(baseSize, 1d).getBaseCurrencyDiscountFactors(), DFCURVE_GBP);
assertEquals(
test.withParameter(baseSize, 1d).getCounterCurrencyDiscountFactors(),
DFCURVE_USD.withParameter(0, 1d));
assertEquals(
test.withPerturbation((i, v, m) -> v + 1d).getBaseCurrencyDiscountFactors(),
DFCURVE_GBP.withPerturbation((i, v, m) -> v + 1d));
assertEquals(
test.withPerturbation((i, v, m) -> v + 1d).getCounterCurrencyDiscountFactors(),
DFCURVE_USD.withPerturbation((i, v, m) -> v + 1d));
}
public void test_of_nonMatchingCurrency() {
assertThrowsIllegalArg(
() -> DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_GBP));
assertThrowsIllegalArg(
() -> DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_USD, DFCURVE_USD));
}
public void test_of_nonMatchingValuationDates() {
DiscountFactors curve2 = ZeroRateDiscountFactors.of(USD, DATE_REF, CURVE2);
assertThrowsIllegalArg(
() -> DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, curve2));
}
public void test_builder() {
assertThrowsIllegalArg(
() ->
DiscountFxForwardRates.meta()
.builder()
.setString(DiscountFxForwardRates.meta().currencyPair(), "GBP/USD")
.build());
assertThrowsIllegalArg(
() ->
DiscountFxForwardRates.meta()
.builder()
.setString(DiscountFxForwardRates.meta().currencyPair().name(), "GBP/USD")
.build());
}
// -------------------------------------------------------------------------
public void test_withDiscountFactors() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
test = test.withDiscountFactors(DFCURVE_GBP2, DFCURVE_USD2);
assertEquals(test.getCurrencyPair(), CURRENCY_PAIR);
assertEquals(test.getValuationDate(), DATE_VAL);
assertEquals(test.getBaseCurrencyDiscountFactors(), DFCURVE_GBP2);
assertEquals(test.getCounterCurrencyDiscountFactors(), DFCURVE_USD2);
assertEquals(test.getFxRateProvider(), FX_RATE);
}
// -------------------------------------------------------------------------
public void test_rate() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
double dfCcyBaseAtMaturity = DFCURVE_GBP.discountFactor(DATE_REF);
double dfCcyCounterAtMaturity = DFCURVE_USD.discountFactor(DATE_REF);
double expected = FX_RATE.fxRate(GBP, USD) * (dfCcyBaseAtMaturity / dfCcyCounterAtMaturity);
assertEquals(test.rate(GBP, DATE_REF), expected, 1e-12);
assertEquals(test.rate(USD, DATE_REF), 1d / expected, 1e-12);
}
public void test_rate_nonMatchingCurrency() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
assertThrowsIllegalArg(() -> test.rate(EUR, DATE_VAL));
}
// -------------------------------------------------------------------------
public void test_ratePointSensitivity() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
assertEquals(
test.ratePointSensitivity(GBP, DATE_REF),
FxForwardSensitivity.of(CURRENCY_PAIR, GBP, DATE_REF, 1d));
assertEquals(
test.ratePointSensitivity(USD, DATE_REF),
FxForwardSensitivity.of(CURRENCY_PAIR, USD, DATE_REF, 1d));
}
public void test_ratePointSensitivity_nonMatchingCurrency() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
assertThrowsIllegalArg(() -> test.ratePointSensitivity(EUR, DATE_VAL));
}
// -------------------------------------------------------------------------
public void test_rateFxSpotSensitivity() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
double dfCcyBaseAtMaturity = DFCURVE_GBP.discountFactor(DATE_REF);
double dfCcyCounterAtMaturity = DFCURVE_USD.discountFactor(DATE_REF);
double expected = dfCcyBaseAtMaturity / dfCcyCounterAtMaturity;
assertEquals(test.rateFxSpotSensitivity(GBP, DATE_REF), expected, 1e-12);
assertEquals(test.rateFxSpotSensitivity(USD, DATE_REF), 1d / expected, 1e-12);
}
public void test_rateFxSpotSensitivity_nonMatchingCurrency() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
assertThrowsIllegalArg(() -> test.rateFxSpotSensitivity(EUR, DATE_VAL));
}
// -------------------------------------------------------------------------
// proper end-to-end tests are elsewhere
public void test_parameterSensitivity() {
DiscountFxForwardRates test =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
FxForwardSensitivity point = FxForwardSensitivity.of(CURRENCY_PAIR, GBP, DATE_VAL, 1d);
assertEquals(test.parameterSensitivity(point).size(), 2);
FxForwardSensitivity point2 = FxForwardSensitivity.of(CURRENCY_PAIR, USD, DATE_VAL, 1d);
assertEquals(test.parameterSensitivity(point2).size(), 2);
}
// -------------------------------------------------------------------------
public void coverage() {
DiscountFxForwardRates test1 =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE, DFCURVE_GBP, DFCURVE_USD);
coverImmutableBean(test1);
DiscountFxForwardRates test2 =
DiscountFxForwardRates.of(CURRENCY_PAIR, FX_RATE.inverse(), DFCURVE_GBP2, DFCURVE_USD2);
coverBeanEquals(test1, test2);
DiscountFxForwardRates test3 =
DiscountFxForwardRates.of(
CurrencyPair.of(USD, EUR),
FxRate.of(EUR, USD, 1.2d),
DFCURVE_USD,
ZeroRateDiscountFactors.of(EUR, DATE_VAL, CURVE2));
coverBeanEquals(test1, test3);
}
}
/** Test {@link AddFixedCurve}. */
@Test
public class AddFixedCurveTest {
private static final String NAME_FIXED = "FixedCurve";
private static final String NAME_SPREAD = "SpreadCurve";
private static final CurveName FIXED_CURVE_NAME = CurveName.of(NAME_FIXED);
private static final CurveName SPREAD_CURVE_NAME = CurveName.of(NAME_SPREAD);
private static final CurveMetadata METADATA_FIXED = Curves.zeroRates(FIXED_CURVE_NAME, ACT_365F);
private static final String LABEL_1 = "Node1";
private static final String LABEL_2 = "Node2";
private static final String LABEL_3 = "Node3";
private static final List<ParameterMetadata> PARAM_METADATA_SPREAD = new ArrayList<>();
static {
PARAM_METADATA_SPREAD.add(LabelDateParameterMetadata.of(LocalDate.of(2015, 1, 1), LABEL_1));
PARAM_METADATA_SPREAD.add(LabelDateParameterMetadata.of(LocalDate.of(2015, 2, 1), LABEL_2));
PARAM_METADATA_SPREAD.add(LabelDateParameterMetadata.of(LocalDate.of(2015, 3, 1), LABEL_3));
}
private static final CurveMetadata METADATA_SPREAD =
DefaultCurveMetadata.builder()
.curveName(SPREAD_CURVE_NAME)
.xValueType(ValueType.YEAR_FRACTION)
.yValueType(ValueType.ZERO_RATE)
.dayCount(ACT_365F)
.parameterMetadata(PARAM_METADATA_SPREAD)
.build();
private static final DoubleArray XVALUES_FIXED = DoubleArray.of(1d, 2d, 3d, 4d);
private static final DoubleArray YVALUES_FIXED = DoubleArray.of(0.05d, 0.07d, 0.08d, 0.09d);
private static final DoubleArray XVALUES_SPREAD = DoubleArray.of(1.5d, 2.5d, 4.5d);
private static final DoubleArray YVALUES_SPREAD = DoubleArray.of(0.04d, 0.045d, 0.05d);
private static final CurveInterpolator INTERPOLATOR = CurveInterpolators.LINEAR;
private static final double[] X_SAMPLE = {0.5d, 1.0d, 1.5d, 1.75d, 10.0d};
private static final int NB_X_SAMPLE = X_SAMPLE.length;
private static final InterpolatedNodalCurve FIXED_CURVE =
InterpolatedNodalCurve.of(METADATA_FIXED, XVALUES_FIXED, YVALUES_FIXED, INTERPOLATOR);
private static final InterpolatedNodalCurve SPREAD_CURVE =
InterpolatedNodalCurve.of(METADATA_SPREAD, XVALUES_SPREAD, YVALUES_SPREAD, INTERPOLATOR);
private static final AddFixedCurve ADD_FIXED_CURVE = AddFixedCurve.of(FIXED_CURVE, SPREAD_CURVE);
private static final double TOLERANCE_Y = 1.0E-10;
public void test_invalid() {
// null fixed
assertThrowsIllegalArg(() -> AddFixedCurve.of(null, SPREAD_CURVE));
// null spread
assertThrowsIllegalArg(() -> AddFixedCurve.of(FIXED_CURVE, null));
}
public void getter() {
assertEquals(ADD_FIXED_CURVE.getMetadata(), METADATA_SPREAD);
assertEquals(ADD_FIXED_CURVE.getParameterCount(), XVALUES_SPREAD.size());
assertEquals(ADD_FIXED_CURVE.getParameter(0), ADD_FIXED_CURVE.getSpreadCurve().getParameter(0));
assertEquals(
ADD_FIXED_CURVE.getParameterMetadata(0),
ADD_FIXED_CURVE.getSpreadCurve().getParameterMetadata(0));
assertEquals(
ADD_FIXED_CURVE.withParameter(0, 9d),
AddFixedCurve.of(FIXED_CURVE, SPREAD_CURVE.withParameter(0, 9d)));
assertEquals(
ADD_FIXED_CURVE.withPerturbation((i, v, m) -> v + 1d),
AddFixedCurve.of(FIXED_CURVE, SPREAD_CURVE.withPerturbation((i, v, m) -> v + 1d)));
assertEquals(
ADD_FIXED_CURVE.withMetadata(METADATA_FIXED),
AddFixedCurve.of(FIXED_CURVE, SPREAD_CURVE.withMetadata(METADATA_FIXED)));
}
public void yValue() {
for (int i = 0; i < NB_X_SAMPLE; i++) {
double yComputed = ADD_FIXED_CURVE.yValue(X_SAMPLE[i]);
double yExpected = FIXED_CURVE.yValue(X_SAMPLE[i]) + SPREAD_CURVE.yValue(X_SAMPLE[i]);
assertEquals(yComputed, yExpected, TOLERANCE_Y);
}
}
public void firstDerivative() {
for (int i = 0; i < NB_X_SAMPLE; i++) {
double dComputed = ADD_FIXED_CURVE.firstDerivative(X_SAMPLE[i]);
double dExpected =
FIXED_CURVE.firstDerivative(X_SAMPLE[i]) + SPREAD_CURVE.firstDerivative(X_SAMPLE[i]);
assertEquals(dComputed, dExpected, TOLERANCE_Y);
}
}
public void yParameterSensitivity() {
for (int i = 0; i < X_SAMPLE.length; i++) {
UnitParameterSensitivity dComputed = ADD_FIXED_CURVE.yValueParameterSensitivity(X_SAMPLE[i]);
UnitParameterSensitivity dExpected = SPREAD_CURVE.yValueParameterSensitivity(X_SAMPLE[i]);
assertTrue(dComputed.compareKey(dExpected) == 0);
assertTrue(
dComputed.getSensitivity().equalWithTolerance(dExpected.getSensitivity(), TOLERANCE_Y));
}
}
// -------------------------------------------------------------------------
public void coverage() {
coverImmutableBean(ADD_FIXED_CURVE);
coverBeanEquals(ADD_FIXED_CURVE, AddFixedCurve.of(SPREAD_CURVE, FIXED_CURVE));
}
}
/** Test */
@Test
public class DiscountingFixedCouponBondProductPricerTest {
// fixed coupon bond
private static final StandardId SECURITY_ID = StandardId.of("OG-Ticker", "GOVT1-BOND1");
private static final StandardId ISSUER_ID = StandardId.of("OG-Ticker", "GOVT1");
private static final LocalDate VAL_DATE = date(2016, 4, 25);
private static final YieldConvention YIELD_CONVENTION = YieldConvention.GERMAN_BONDS;
private static final double NOTIONAL = 1.0e7;
private static final double FIXED_RATE = 0.015;
private static final HolidayCalendar EUR_CALENDAR = HolidayCalendars.EUTA;
private static final DaysAdjustment DATE_OFFSET = DaysAdjustment.ofBusinessDays(3, EUR_CALENDAR);
private static final DayCount DAY_COUNT = DayCounts.ACT_365F;
private static final LocalDate START_DATE = LocalDate.of(2015, 4, 12);
private static final LocalDate END_DATE = LocalDate.of(2025, 4, 12);
private static final BusinessDayAdjustment BUSINESS_ADJUST =
BusinessDayAdjustment.of(BusinessDayConventions.MODIFIED_FOLLOWING, EUR_CALENDAR);
private static final PeriodicSchedule PERIOD_SCHEDULE =
PeriodicSchedule.of(
START_DATE,
END_DATE,
Frequency.P6M,
BUSINESS_ADJUST,
StubConvention.SHORT_INITIAL,
false);
private static final DaysAdjustment EX_COUPON =
DaysAdjustment.ofBusinessDays(-5, EUR_CALENDAR, BUSINESS_ADJUST);
/** nonzero ex-coupon period */
private static final FixedCouponBond PRODUCT =
FixedCouponBond.builder()
.dayCount(DAY_COUNT)
.fixedRate(FIXED_RATE)
.legalEntityId(ISSUER_ID)
.currency(EUR)
.notional(NOTIONAL)
.periodicSchedule(PERIOD_SCHEDULE)
.settlementDateOffset(DATE_OFFSET)
.yieldConvention(YIELD_CONVENTION)
.exCouponPeriod(EX_COUPON)
.build();
private static final Security<FixedCouponBond> BOND_SECURITY =
UnitSecurity.builder(PRODUCT).standardId(SECURITY_ID).build();
/** no ex-coupon period */
private static final FixedCouponBond PRODUCT_NO_EXCOUPON =
FixedCouponBond.builder()
.dayCount(DAY_COUNT)
.fixedRate(FIXED_RATE)
.legalEntityId(ISSUER_ID)
.currency(EUR)
.notional(NOTIONAL)
.periodicSchedule(PERIOD_SCHEDULE)
.settlementDateOffset(DATE_OFFSET)
.yieldConvention(YIELD_CONVENTION)
.build();
// rates provider
private static final CurveInterpolator INTERPOLATOR = CurveInterpolators.LINEAR;
private static final CurveName NAME_REPO = CurveName.of("TestRepoCurve");
private static final CurveMetadata METADATA_REPO = Curves.zeroRates(NAME_REPO, ACT_365F);
private static final InterpolatedNodalCurve CURVE_REPO =
InterpolatedNodalCurve.of(
METADATA_REPO,
DoubleArray.of(0.1, 2.0, 10.0),
DoubleArray.of(0.05, 0.06, 0.09),
INTERPOLATOR);
private static final DiscountFactors DSC_FACTORS_REPO =
ZeroRateDiscountFactors.of(EUR, VAL_DATE, CURVE_REPO);
private static final BondGroup GROUP_REPO = BondGroup.of("GOVT1 BOND1");
private static final CurveName NAME_ISSUER = CurveName.of("TestIssuerCurve");
private static final CurveMetadata METADATA_ISSUER = Curves.zeroRates(NAME_ISSUER, ACT_365F);
private static final InterpolatedNodalCurve CURVE_ISSUER =
InterpolatedNodalCurve.of(
METADATA_ISSUER,
DoubleArray.of(0.2, 9.0, 15.0),
DoubleArray.of(0.03, 0.05, 0.13),
INTERPOLATOR);
private static final DiscountFactors DSC_FACTORS_ISSUER =
ZeroRateDiscountFactors.of(EUR, VAL_DATE, CURVE_ISSUER);
private static final LegalEntityGroup GROUP_ISSUER = LegalEntityGroup.of("GOVT1");
private static final LegalEntityDiscountingProvider PROVIDER =
LegalEntityDiscountingProvider.builder()
.issuerCurves(
ImmutableMap.<Pair<LegalEntityGroup, Currency>, DiscountFactors>of(
Pair.<LegalEntityGroup, Currency>of(GROUP_ISSUER, EUR), DSC_FACTORS_ISSUER))
.legalEntityMap(ImmutableMap.<StandardId, LegalEntityGroup>of(ISSUER_ID, GROUP_ISSUER))
.repoCurves(
ImmutableMap.<Pair<BondGroup, Currency>, DiscountFactors>of(
Pair.<BondGroup, Currency>of(GROUP_REPO, EUR), DSC_FACTORS_REPO))
.bondMap(ImmutableMap.<StandardId, BondGroup>of(SECURITY_ID, GROUP_REPO))
.valuationDate(VAL_DATE)
.build();
private static final double Z_SPREAD = 0.035;
private static final int PERIOD_PER_YEAR = 4;
private static final double TOL = 1.0e-12;
private static final double EPS = 1.0e-6;
// pricers
private static final DiscountingFixedCouponBondProductPricer PRICER =
DiscountingFixedCouponBondProductPricer.DEFAULT;
private static final DiscountingPaymentPricer PRICER_NOMINAL = DiscountingPaymentPricer.DEFAULT;
private static final DiscountingFixedCouponBondPaymentPeriodPricer PRICER_COUPON =
DiscountingFixedCouponBondPaymentPeriodPricer.DEFAULT;
private static final RatesFiniteDifferenceSensitivityCalculator FD_CAL =
new RatesFiniteDifferenceSensitivityCalculator(EPS);
// -------------------------------------------------------------------------
public void test_presentValue() {
CurrencyAmount computed = PRICER.presentValue(PRODUCT, PROVIDER);
ExpandedFixedCouponBond expanded = PRODUCT.expand();
CurrencyAmount expected =
PRICER_NOMINAL.presentValue(expanded.getNominalPayment(), DSC_FACTORS_ISSUER);
int size = expanded.getPeriodicPayments().size();
double pvCupon = 0d;
for (int i = 2; i < size; ++i) {
FixedCouponBondPaymentPeriod payment = expanded.getPeriodicPayments().get(i);
pvCupon +=
PRICER_COUPON.presentValue(
payment, IssuerCurveDiscountFactors.of(DSC_FACTORS_ISSUER, GROUP_ISSUER));
}
expected = expected.plus(pvCupon);
assertEquals(computed.getCurrency(), EUR);
assertEquals(computed.getAmount(), expected.getAmount(), NOTIONAL * TOL);
}
public void test_presentValueWithZSpread_continuous() {
CurrencyAmount computed =
PRICER.presentValueWithZSpread(PRODUCT, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
ExpandedFixedCouponBond expanded = PRODUCT.expand();
CurrencyAmount expected =
PRICER_NOMINAL.presentValue(
expanded.getNominalPayment(), DSC_FACTORS_ISSUER, Z_SPREAD, CONTINUOUS, 0);
int size = expanded.getPeriodicPayments().size();
double pvcCupon = 0d;
for (int i = 2; i < size; ++i) {
FixedCouponBondPaymentPeriod payment = expanded.getPeriodicPayments().get(i);
pvcCupon +=
PRICER_COUPON.presentValueWithSpread(
payment,
IssuerCurveDiscountFactors.of(DSC_FACTORS_ISSUER, GROUP_ISSUER),
Z_SPREAD,
CONTINUOUS,
0);
}
expected = expected.plus(pvcCupon);
assertEquals(computed.getCurrency(), EUR);
assertEquals(computed.getAmount(), expected.getAmount(), NOTIONAL * TOL);
}
public void test_presentValueWithZSpread_periodic() {
CurrencyAmount computed =
PRICER.presentValueWithZSpread(PRODUCT, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
ExpandedFixedCouponBond expanded = PRODUCT.expand();
CurrencyAmount expected =
PRICER_NOMINAL.presentValue(
expanded.getNominalPayment(), DSC_FACTORS_ISSUER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
int size = expanded.getPeriodicPayments().size();
double pvcCupon = 0d;
for (int i = 2; i < size; ++i) {
FixedCouponBondPaymentPeriod payment = expanded.getPeriodicPayments().get(i);
pvcCupon +=
PRICER_COUPON.presentValueWithSpread(
payment,
IssuerCurveDiscountFactors.of(DSC_FACTORS_ISSUER, GROUP_ISSUER),
Z_SPREAD,
PERIODIC,
PERIOD_PER_YEAR);
}
expected = expected.plus(pvcCupon);
assertEquals(computed.getCurrency(), EUR);
assertEquals(computed.getAmount(), expected.getAmount(), NOTIONAL * TOL);
}
public void test_presentValue_noExcoupon() {
CurrencyAmount computed = PRICER.presentValue(PRODUCT_NO_EXCOUPON, PROVIDER);
ExpandedFixedCouponBond expanded = PRODUCT.expand();
CurrencyAmount expected =
PRICER_NOMINAL.presentValue(expanded.getNominalPayment(), DSC_FACTORS_ISSUER);
int size = expanded.getPeriodicPayments().size();
double pvcCupon = 0d;
for (int i = 2; i < size; ++i) {
FixedCouponBondPaymentPeriod payment = expanded.getPeriodicPayments().get(i);
pvcCupon +=
PRICER_COUPON.presentValue(
payment, IssuerCurveDiscountFactors.of(DSC_FACTORS_ISSUER, GROUP_ISSUER));
}
expected = expected.plus(pvcCupon);
assertEquals(computed.getCurrency(), EUR);
assertEquals(computed.getAmount(), expected.getAmount(), NOTIONAL * TOL);
}
public void test_presentValueWithZSpread_continuous_noExcoupon() {
CurrencyAmount computed =
PRICER.presentValueWithZSpread(PRODUCT_NO_EXCOUPON, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
ExpandedFixedCouponBond expanded = PRODUCT.expand();
CurrencyAmount expected =
PRICER_NOMINAL.presentValue(
expanded.getNominalPayment(), DSC_FACTORS_ISSUER, Z_SPREAD, CONTINUOUS, 0);
int size = expanded.getPeriodicPayments().size();
double pvcCupon = 0d;
for (int i = 2; i < size; ++i) {
FixedCouponBondPaymentPeriod payment = expanded.getPeriodicPayments().get(i);
pvcCupon +=
PRICER_COUPON.presentValueWithSpread(
payment,
IssuerCurveDiscountFactors.of(DSC_FACTORS_ISSUER, GROUP_ISSUER),
Z_SPREAD,
CONTINUOUS,
0);
}
expected = expected.plus(pvcCupon);
assertEquals(computed.getCurrency(), EUR);
assertEquals(computed.getAmount(), expected.getAmount(), NOTIONAL * TOL);
}
public void test_presentValueWithZSpread_periodic_noExcoupon() {
CurrencyAmount computed =
PRICER.presentValueWithZSpread(
PRODUCT_NO_EXCOUPON, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
ExpandedFixedCouponBond expanded = PRODUCT.expand();
CurrencyAmount expected =
PRICER_NOMINAL.presentValue(
expanded.getNominalPayment(), DSC_FACTORS_ISSUER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
int size = expanded.getPeriodicPayments().size();
double pvcCupon = 0d;
for (int i = 2; i < size; ++i) {
FixedCouponBondPaymentPeriod payment = expanded.getPeriodicPayments().get(i);
pvcCupon +=
PRICER_COUPON.presentValueWithSpread(
payment,
IssuerCurveDiscountFactors.of(DSC_FACTORS_ISSUER, GROUP_ISSUER),
Z_SPREAD,
PERIODIC,
PERIOD_PER_YEAR);
}
expected = expected.plus(pvcCupon);
assertEquals(computed.getCurrency(), EUR);
assertEquals(computed.getAmount(), expected.getAmount(), NOTIONAL * TOL);
}
// -------------------------------------------------------------------------
public void test_dirtyPriceFromCurves() {
double computed = PRICER.dirtyPriceFromCurves(BOND_SECURITY, PROVIDER);
CurrencyAmount pv = PRICER.presentValue(PRODUCT, PROVIDER);
LocalDate settlement = DATE_OFFSET.adjust(VAL_DATE);
double df = DSC_FACTORS_REPO.discountFactor(settlement);
assertEquals(computed, pv.getAmount() / df / NOTIONAL);
}
public void test_dirtyPriceFromCurvesWithZSpread_continuous() {
double computed =
PRICER.dirtyPriceFromCurvesWithZSpread(BOND_SECURITY, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
CurrencyAmount pv = PRICER.presentValueWithZSpread(PRODUCT, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
LocalDate settlement = DATE_OFFSET.adjust(VAL_DATE);
double df = DSC_FACTORS_REPO.discountFactor(settlement);
assertEquals(computed, pv.getAmount() / df / NOTIONAL);
}
public void test_dirtyPriceFromCurvesWithZSpread_periodic() {
double computed =
PRICER.dirtyPriceFromCurvesWithZSpread(
BOND_SECURITY, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
CurrencyAmount pv =
PRICER.presentValueWithZSpread(PRODUCT, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
LocalDate settlement = DATE_OFFSET.adjust(VAL_DATE);
double df = DSC_FACTORS_REPO.discountFactor(settlement);
assertEquals(computed, pv.getAmount() / df / NOTIONAL);
}
public void test_dirtyPriceFromCleanPrice_cleanPriceFromDirtyPrice() {
double dirtyPrice = PRICER.dirtyPriceFromCurves(BOND_SECURITY, PROVIDER);
LocalDate settlement = DATE_OFFSET.adjust(VAL_DATE);
double cleanPrice = PRICER.cleanPriceFromDirtyPrice(PRODUCT, settlement, dirtyPrice);
double accruedInterest = PRICER.accruedInterest(PRODUCT, settlement);
assertEquals(cleanPrice, dirtyPrice - accruedInterest / NOTIONAL, NOTIONAL * TOL);
double dirtyPriceRe = PRICER.dirtyPriceFromCleanPrice(PRODUCT, settlement, cleanPrice);
assertEquals(dirtyPriceRe, dirtyPrice, TOL);
}
// -------------------------------------------------------------------------
public void test_zSpreadFromCurvesAndPV_continuous() {
double dirtyPrice =
PRICER.dirtyPriceFromCurvesWithZSpread(BOND_SECURITY, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
double computed =
PRICER.zSpreadFromCurvesAndDirtyPrice(BOND_SECURITY, PROVIDER, dirtyPrice, CONTINUOUS, 0);
assertEquals(computed, Z_SPREAD, TOL);
}
public void test_zSpreadFromCurvesAndPV_periodic() {
double dirtyPrice =
PRICER.dirtyPriceFromCurvesWithZSpread(
BOND_SECURITY, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
double computed =
PRICER.zSpreadFromCurvesAndDirtyPrice(
BOND_SECURITY, PROVIDER, dirtyPrice, PERIODIC, PERIOD_PER_YEAR);
assertEquals(computed, Z_SPREAD, TOL);
}
// -------------------------------------------------------------------------
public void test_presentValueSensitivity() {
PointSensitivityBuilder point = PRICER.presentValueSensitivity(PRODUCT, PROVIDER);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(PROVIDER, (p) -> PRICER.presentValue(PRODUCT, (p)));
assertTrue(computed.equalWithTolerance(expected, 30d * NOTIONAL * EPS));
}
public void test_presentValueSensitivityWithZSpread_continuous() {
PointSensitivityBuilder point =
PRICER.presentValueSensitivityWithZSpread(PRODUCT, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER, (p) -> PRICER.presentValueWithZSpread(PRODUCT, (p), Z_SPREAD, CONTINUOUS, 0));
assertTrue(computed.equalWithTolerance(expected, 20d * NOTIONAL * EPS));
}
public void test_presentValueSensitivityWithZSpread_periodic() {
PointSensitivityBuilder point =
PRICER.presentValueSensitivityWithZSpread(
PRODUCT, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER,
(p) ->
PRICER.presentValueWithZSpread(PRODUCT, (p), Z_SPREAD, PERIODIC, PERIOD_PER_YEAR));
assertTrue(computed.equalWithTolerance(expected, 20d * NOTIONAL * EPS));
}
public void test_presentValueProductSensitivity_noExcoupon() {
PointSensitivityBuilder point = PRICER.presentValueSensitivity(PRODUCT_NO_EXCOUPON, PROVIDER);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(PROVIDER, (p) -> PRICER.presentValue(PRODUCT_NO_EXCOUPON, (p)));
assertTrue(computed.equalWithTolerance(expected, 30d * NOTIONAL * EPS));
}
public void test_presentValueSensitivityWithZSpread_continuous_noExcoupon() {
PointSensitivityBuilder point =
PRICER.presentValueSensitivityWithZSpread(
PRODUCT_NO_EXCOUPON, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER,
(p) ->
PRICER.presentValueWithZSpread(PRODUCT_NO_EXCOUPON, (p), Z_SPREAD, CONTINUOUS, 0));
assertTrue(computed.equalWithTolerance(expected, 20d * NOTIONAL * EPS));
}
public void test_presentValueSensitivityWithZSpread_periodic_noExcoupon() {
PointSensitivityBuilder point =
PRICER.presentValueSensitivityWithZSpread(
PRODUCT_NO_EXCOUPON, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER,
(p) ->
PRICER.presentValueWithZSpread(
PRODUCT_NO_EXCOUPON, (p), Z_SPREAD, PERIODIC, PERIOD_PER_YEAR));
assertTrue(computed.equalWithTolerance(expected, 20d * NOTIONAL * EPS));
}
public void test_dirtyPriceSensitivity() {
PointSensitivityBuilder point = PRICER.dirtyPriceSensitivity(BOND_SECURITY, PROVIDER);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER,
(p) -> CurrencyAmount.of(EUR, PRICER.dirtyPriceFromCurves(BOND_SECURITY, (p))));
assertTrue(computed.equalWithTolerance(expected, NOTIONAL * EPS));
}
public void test_dirtyPriceSensitivityWithZspread_continuous() {
PointSensitivityBuilder point =
PRICER.dirtyPriceSensitivityWithZspread(BOND_SECURITY, PROVIDER, Z_SPREAD, CONTINUOUS, 0);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER,
(p) ->
CurrencyAmount.of(
EUR,
PRICER.dirtyPriceFromCurvesWithZSpread(
BOND_SECURITY, (p), Z_SPREAD, CONTINUOUS, 0)));
assertTrue(computed.equalWithTolerance(expected, NOTIONAL * EPS));
}
public void test_dirtyPriceSensitivityWithZspread_periodic() {
PointSensitivityBuilder point =
PRICER.dirtyPriceSensitivityWithZspread(
BOND_SECURITY, PROVIDER, Z_SPREAD, PERIODIC, PERIOD_PER_YEAR);
CurveCurrencyParameterSensitivities computed =
PROVIDER.curveParameterSensitivity(point.build());
CurveCurrencyParameterSensitivities expected =
FD_CAL.sensitivity(
PROVIDER,
(p) ->
CurrencyAmount.of(
EUR,
PRICER.dirtyPriceFromCurvesWithZSpread(
BOND_SECURITY, (p), Z_SPREAD, PERIODIC, PERIOD_PER_YEAR)));
assertTrue(computed.equalWithTolerance(expected, NOTIONAL * EPS));
}
// -------------------------------------------------------------------------
public void test_accruedInterest() {
// settle before start
LocalDate settleDate1 = START_DATE.minusDays(5);
double accruedInterest1 = PRICER.accruedInterest(PRODUCT, settleDate1);
assertEquals(accruedInterest1, 0d);
// settle between endDate and endDate -lag
LocalDate settleDate2 = date(2015, 10, 8);
double accruedInterest2 = PRICER.accruedInterest(PRODUCT, settleDate2);
assertEquals(accruedInterest2, -4.0 / 365.0 * FIXED_RATE * NOTIONAL, EPS);
// normal
LocalDate settleDate3 = date(2015, 4, 18); // not adjusted
FixedCouponBond product =
FixedCouponBond.builder()
.dayCount(DAY_COUNT)
.fixedRate(FIXED_RATE)
.legalEntityId(ISSUER_ID)
.currency(EUR)
.notional(NOTIONAL)
.periodicSchedule(PERIOD_SCHEDULE)
.settlementDateOffset(DATE_OFFSET)
.yieldConvention(YIELD_CONVENTION)
.exCouponPeriod(DaysAdjustment.NONE)
.build();
double accruedInterest3 = PRICER.accruedInterest(product, settleDate3);
assertEquals(accruedInterest3, 6.0 / 365.0 * FIXED_RATE * NOTIONAL, EPS);
}
// -------------------------------------------------------------------------
/* US Street convention */
private static final LocalDate START_US = date(2006, 11, 15);
private static final LocalDate END_US = START_US.plusYears(10);
private static final PeriodicSchedule SCHEDULE_US =
PeriodicSchedule.of(
START_US,
END_US,
Frequency.P6M,
BusinessDayAdjustment.of(BusinessDayConventions.FOLLOWING, HolidayCalendars.SAT_SUN),
StubConvention.SHORT_INITIAL,
false);
private static final FixedCouponBond PRODUCT_US =
FixedCouponBond.builder()
.dayCount(DayCounts.ACT_ACT_ICMA)
.fixedRate(0.04625)
.legalEntityId(ISSUER_ID)
.currency(Currency.USD)
.notional(100)
.periodicSchedule(SCHEDULE_US)
.settlementDateOffset(DaysAdjustment.ofBusinessDays(3, HolidayCalendars.SAT_SUN))
.yieldConvention(YieldConvention.US_STREET)
.exCouponPeriod(DaysAdjustment.NONE)
.build();
private static final LocalDate VALUATION_US = date(2011, 8, 18);
private static final LocalDate SETTLEMENT_US =
PRODUCT_US.getSettlementDateOffset().adjust(VALUATION_US);
private static final LocalDate VALUATION_LAST_US = date(2016, 6, 3);
private static final LocalDate SETTLEMENT_LAST_US =
PRODUCT_US.getSettlementDateOffset().adjust(VALUATION_LAST_US);
private static final double YIELD_US = 0.04;
public void dirtyPriceFromYieldUS() {
double dirtyPrice = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US);
assertEquals(dirtyPrice, 1.0417352500524246, TOL); // 2.x.
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_US, SETTLEMENT_US, dirtyPrice);
assertEquals(yield, YIELD_US, TOL);
}
public void dirtyPriceFromYieldUSLastPeriod() {
double dirtyPrice = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US);
assertEquals(dirtyPrice, 1.005635683760684, TOL); // 2.x.
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_US, SETTLEMENT_LAST_US, dirtyPrice);
assertEquals(yield, YIELD_US, TOL);
}
public void modifiedDurationFromYieldUS() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US);
double price = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void modifiedDurationFromYieldUSLastPeriod() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US);
double price = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldUS() {
double computed = PRICER.convexityFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US);
double durationUp = PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US + EPS);
double durationDw = PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldUSLastPeriod() {
double computed = PRICER.convexityFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US);
double durationUp =
PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US + EPS);
double durationDw =
PRICER.modifiedDurationFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void macaulayDurationFromYieldUS() {
double duration = PRICER.macaulayDurationFromYield(PRODUCT_US, SETTLEMENT_US, YIELD_US);
assertEquals(duration, 4.6575232098896215, TOL); // 2.x.
}
public void macaulayDurationFromYieldUSLastPeriod() {
double duration = PRICER.macaulayDurationFromYield(PRODUCT_US, SETTLEMENT_LAST_US, YIELD_US);
assertEquals(duration, 0.43478260869565216, TOL); // 2.x.
}
/* UK BUMP/DMO convention */
private static final LocalDate START_UK = date(2002, 9, 7);
private static final LocalDate END_UK = START_UK.plusYears(12);
private static final PeriodicSchedule SCHEDULE_UK =
PeriodicSchedule.of(
START_UK,
END_UK,
Frequency.P6M,
BusinessDayAdjustment.of(BusinessDayConventions.FOLLOWING, HolidayCalendars.SAT_SUN),
StubConvention.SHORT_INITIAL,
false);
private static final FixedCouponBond PRODUCT_UK =
FixedCouponBond.builder()
.dayCount(DayCounts.ACT_ACT_ICMA)
.fixedRate(0.05)
.legalEntityId(ISSUER_ID)
.currency(Currency.GBP)
.notional(100)
.periodicSchedule(SCHEDULE_UK)
.settlementDateOffset(DaysAdjustment.ofBusinessDays(1, HolidayCalendars.SAT_SUN))
.yieldConvention(YieldConvention.UK_BUMP_DMO)
.exCouponPeriod(
DaysAdjustment.ofCalendarDays(
-7,
BusinessDayAdjustment.of(
BusinessDayConventions.PRECEDING, HolidayCalendars.SAT_SUN)))
.build();
private static final LocalDate VALUATION_UK = date(2011, 9, 2);
private static final LocalDate SETTLEMENT_UK =
PRODUCT_UK.getSettlementDateOffset().adjust(VALUATION_UK);
private static final LocalDate VALUATION_LAST_UK = date(2014, 6, 3);
private static final LocalDate SETTLEMENT_LAST_UK =
PRODUCT_UK.getSettlementDateOffset().adjust(VALUATION_LAST_UK);
private static final double YIELD_UK = 0.04;
public void dirtyPriceFromYieldUK() {
double dirtyPrice = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK);
assertEquals(dirtyPrice, 1.0277859038905428, TOL); // 2.x.
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_UK, SETTLEMENT_UK, dirtyPrice);
assertEquals(yield, YIELD_UK, TOL);
}
public void dirtyPriceFromYieldUKLastPeriod() {
double dirtyPrice = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK);
assertEquals(dirtyPrice, 1.0145736043763598, TOL); // 2.x.
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_UK, SETTLEMENT_LAST_UK, dirtyPrice);
assertEquals(yield, YIELD_UK, TOL);
}
public void modifiedDurationFromYieldUK() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK);
double price = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void modifiedDurationFromYieldUKLastPeriod() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK);
double price = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldUK() {
double computed = PRICER.convexityFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK);
double durationUp = PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK + EPS);
double durationDw = PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldUKLastPeriod() {
double computed = PRICER.convexityFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK);
double durationUp =
PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK + EPS);
double durationDw =
PRICER.modifiedDurationFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void macaulayDurationFromYieldUK() {
double duration = PRICER.macaulayDurationFromYield(PRODUCT_UK, SETTLEMENT_UK, YIELD_UK);
assertEquals(duration, 2.8312260658609163, TOL); // 2.x.
}
public void macaulayDurationFromYieldUKLastPeriod() {
double duration = PRICER.macaulayDurationFromYield(PRODUCT_UK, SETTLEMENT_LAST_UK, YIELD_UK);
assertEquals(duration, 0.25815217391304346, TOL); // 2.x.
}
/* German bond convention */
private static final LocalDate START_GER = date(2002, 9, 7);
private static final LocalDate END_GER = START_GER.plusYears(12);
private static final PeriodicSchedule SCHEDULE_GER =
PeriodicSchedule.of(
START_GER,
END_GER,
Frequency.P12M,
BusinessDayAdjustment.of(BusinessDayConventions.FOLLOWING, HolidayCalendars.SAT_SUN),
StubConvention.SHORT_INITIAL,
false);
private static final FixedCouponBond PRODUCT_GER =
FixedCouponBond.builder()
.dayCount(DayCounts.ACT_ACT_ICMA)
.fixedRate(0.05)
.legalEntityId(ISSUER_ID)
.currency(Currency.EUR)
.notional(100)
.periodicSchedule(SCHEDULE_GER)
.settlementDateOffset(DaysAdjustment.ofBusinessDays(3, HolidayCalendars.SAT_SUN))
.yieldConvention(YieldConvention.GERMAN_BONDS)
.exCouponPeriod(DaysAdjustment.NONE)
.build();
private static final LocalDate VALUATION_GER = date(2011, 9, 2);
private static final LocalDate SETTLEMENT_GER =
PRODUCT_GER.getSettlementDateOffset().adjust(VALUATION_GER);
private static final LocalDate VALUATION_LAST_GER = date(2014, 6, 3);
private static final LocalDate SETTLEMENT_LAST_GER =
PRODUCT_GER.getSettlementDateOffset().adjust(VALUATION_LAST_GER);
private static final double YIELD_GER = 0.04;
public void dirtyPriceFromYieldGerman() {
double dirtyPrice = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER);
assertEquals(dirtyPrice, 1.027750910332271, TOL); // 2.x.
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_GER, SETTLEMENT_GER, dirtyPrice);
assertEquals(yield, YIELD_GER, TOL);
}
public void dirtyPriceFromYieldGermanLastPeriod() {
double dirtyPrice = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER);
assertEquals(dirtyPrice, 1.039406595790844, TOL); // 2.x.
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_GER, SETTLEMENT_LAST_GER, dirtyPrice);
assertEquals(yield, YIELD_GER, TOL);
}
public void modifiedDurationFromYieldGER() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER);
double price = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void modifiedDurationFromYieldGERLastPeriod() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER);
double price = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldGER() {
double computed = PRICER.convexityFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER);
double durationUp =
PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER + EPS);
double durationDw =
PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldGERLastPeriod() {
double computed = PRICER.convexityFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER);
double durationUp =
PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER + EPS);
double durationDw =
PRICER.modifiedDurationFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void macaulayDurationFromYieldGER() {
double duration = PRICER.macaulayDurationFromYield(PRODUCT_GER, SETTLEMENT_GER, YIELD_GER);
assertEquals(duration, 2.861462874541554, TOL); // 2.x.
}
public void macaulayDurationFromYieldGERLastPeriod() {
double duration = PRICER.macaulayDurationFromYield(PRODUCT_GER, SETTLEMENT_LAST_GER, YIELD_GER);
assertEquals(duration, 0.26231286613148186, TOL); // 2.x.
}
/* Japan simple convention */
private static final LocalDate START_JP = date(2015, 9, 20);
private static final LocalDate END_JP = START_JP.plusYears(10);
private static final PeriodicSchedule SCHEDULE_JP =
PeriodicSchedule.of(
START_JP,
END_JP,
Frequency.P6M,
BusinessDayAdjustment.of(BusinessDayConventions.FOLLOWING, HolidayCalendars.JPTO),
StubConvention.SHORT_INITIAL,
false);
private static final double RATE_JP = 0.004;
private static final FixedCouponBond PRODUCT_JP =
FixedCouponBond.builder()
.dayCount(DayCounts.NL_365)
.fixedRate(RATE_JP)
.legalEntityId(ISSUER_ID)
.currency(Currency.JPY)
.notional(100)
.periodicSchedule(SCHEDULE_JP)
.settlementDateOffset(DaysAdjustment.ofBusinessDays(3, HolidayCalendars.JPTO))
.yieldConvention(YieldConvention.JAPAN_SIMPLE)
.exCouponPeriod(DaysAdjustment.NONE)
.build();
private static final LocalDate VALUATION_JP = date(2015, 9, 24);
private static final LocalDate SETTLEMENT_JP =
PRODUCT_JP.getSettlementDateOffset().adjust(VALUATION_JP);
private static final LocalDate VALUATION_LAST_JP = date(2025, 6, 3);
private static final LocalDate SETTLEMENT_LAST_JP =
PRODUCT_JP.getSettlementDateOffset().adjust(VALUATION_LAST_JP);
private static final LocalDate VALUATION_ENDED_JP = date(2026, 8, 3);
private static final LocalDate SETTLEMENT_ENDED_JP =
PRODUCT_JP.getSettlementDateOffset().adjust(VALUATION_ENDED_JP);
private static final double YIELD_JP = 0.00321;
public void dirtyPriceFromYieldJP() {
double computed = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP);
double maturity = DayCounts.NL_365.relativeYearFraction(SETTLEMENT_JP, END_JP);
double expected =
PRICER.dirtyPriceFromCleanPrice(
PRODUCT_JP, SETTLEMENT_JP, (1d + RATE_JP * maturity) / (1d + YIELD_JP * maturity));
assertEquals(computed, expected, TOL);
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_JP, SETTLEMENT_JP, computed);
assertEquals(yield, YIELD_JP, TOL);
}
public void dirtyPriceFromYieldJPLastPeriod() {
double computed = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP);
double maturity = DayCounts.NL_365.relativeYearFraction(SETTLEMENT_LAST_JP, END_JP);
double expected =
PRICER.dirtyPriceFromCleanPrice(
PRODUCT_JP, SETTLEMENT_LAST_JP, (1d + RATE_JP * maturity) / (1d + YIELD_JP * maturity));
assertEquals(computed, expected, TOL);
double yield = PRICER.yieldFromDirtyPrice(PRODUCT_JP, SETTLEMENT_LAST_JP, computed);
assertEquals(yield, YIELD_JP, TOL);
}
public void dirtyPriceFromYieldJPEnded() {
double computed = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_ENDED_JP, YIELD_JP);
assertEquals(computed, 0d, TOL);
}
public void modifiedDurationFromYielddJP() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP);
double price = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void modifiedDurationFromYieldJPLastPeriod() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP);
double price = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP);
double priceUp = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP + EPS);
double priceDw = PRICER.dirtyPriceFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP - EPS);
double expected = 0.5 * (priceDw - priceUp) / price / EPS;
assertEquals(computed, expected, EPS);
}
public void modifiedDurationFromYielddJPEnded() {
double computed = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_ENDED_JP, YIELD_JP);
assertEquals(computed, 0d, EPS);
}
public void convexityFromYieldJP() {
double computed = PRICER.convexityFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP);
double durationUp = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP + EPS);
double durationDw = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldJPLastPeriod() {
double computed = PRICER.convexityFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP);
double duration = PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP);
double durationUp =
PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP + EPS);
double durationDw =
PRICER.modifiedDurationFromYield(PRODUCT_JP, SETTLEMENT_LAST_JP, YIELD_JP - EPS);
double expected = 0.5 * (durationDw - durationUp) / EPS + duration * duration;
assertEquals(computed, expected, EPS);
}
public void convexityFromYieldJPEnded() {
double computed = PRICER.convexityFromYield(PRODUCT_JP, SETTLEMENT_ENDED_JP, YIELD_JP);
assertEquals(computed, 0d, EPS);
}
public void macaulayDurationFromYieldYieldJP() {
assertThrows(
() -> PRICER.macaulayDurationFromYield(PRODUCT_JP, SETTLEMENT_JP, YIELD_JP),
UnsupportedOperationException.class,
"The convention JAPAN_SIMPLE is not supported.");
}
}