public virtual void recovery_test_blackSurface()
{
SurfaceIborCapletFloorletVolatilityBootstrapDefinition definition = SurfaceIborCapletFloorletVolatilityBootstrapDefinition.of(IborCapletFloorletVolatilitiesName.of("test"), USD_LIBOR_3M, ACT_ACT_ISDA, LINEAR, LINEAR);
DoubleArray strikes = createBlackStrikes();
RawOptionData data = RawOptionData.of(createBlackMaturities(), strikes, ValueType.STRIKE, createFullBlackDataMatrix(), ValueType.BLACK_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
BlackIborCapletFloorletExpiryStrikeVolatilities resVol = (BlackIborCapletFloorletExpiryStrikeVolatilities)res.Volatilities;
for (int i = 0; i < strikes.size(); ++i)
{
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsBlackVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.blackVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
BlackIborCapletFloorletExpiryStrikeVolatilities constVol = BlackIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, resVol).Amount;
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL);
}
}
assertEquals(res.ChiSquare, 0d);
assertEquals(resVol.Index, USD_LIBOR_3M);
assertEquals(resVol.Name, definition.Name);
assertEquals(resVol.ValuationDateTime, CALIBRATION_TIME);
InterpolatedNodalSurface surface = (InterpolatedNodalSurface)resVol.Surface;
for (int i = 0; i < surface.ParameterCount; ++i)
{
GenericVolatilitySurfacePeriodParameterMetadata metadata = (GenericVolatilitySurfacePeriodParameterMetadata)surface.getParameterMetadata(i);
assertEquals(metadata.Strike.Value, surface.YValues.get(i));
}
}
public virtual void test_recovery_black_fixedRho()
{
SabrIborCapletFloorletVolatilityBootstrapDefinition definition = SabrIborCapletFloorletVolatilityBootstrapDefinition.ofFixedRho(IborCapletFloorletVolatilitiesName.of("test"), USD_LIBOR_3M, ACT_ACT_ISDA, 0.0, CurveInterpolators.STEP_UPPER, CurveExtrapolators.FLAT, CurveExtrapolators.FLAT, SabrHaganVolatilityFunctionProvider.DEFAULT);
DoubleMatrix volData = createFullBlackDataMatrix();
double errorValue = 1.0e-3;
DoubleMatrix error = DoubleMatrix.filled(volData.rowCount(), volData.columnCount(), errorValue);
RawOptionData data = RawOptionData.of(createBlackMaturities(), createBlackStrikes(), ValueType.STRIKE, volData, error, ValueType.BLACK_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
SabrParametersIborCapletFloorletVolatilities resVols = (SabrParametersIborCapletFloorletVolatilities)res.Volatilities;
double expSq = 0d;
for (int i = 0; i < NUM_BLACK_STRIKES; ++i)
{
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsBlackVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.blackVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
BlackIborCapletFloorletExpiryStrikeVolatilities constVol = BlackIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_SABR.presentValue(caps[j], RATES_PROVIDER, resVols).Amount;
expSq += Math.Pow((priceOrg - priceCalib) / priceOrg / errorValue, 2);
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL * 3d);
}
}
assertEquals(res.ChiSquare, expSq, expSq * 1.0e-14);
assertEquals(resVols.Index, USD_LIBOR_3M);
assertEquals(resVols.Name, definition.Name);
assertEquals(resVols.ValuationDateTime, CALIBRATION_TIME);
assertEquals(resVols.Parameters.ShiftCurve, definition.ShiftCurve);
assertEquals(resVols.Parameters.RhoCurve, definition.RhoCurve.get());
}
public virtual void recovery_test_normal2_shift()
{
SurfaceIborCapletFloorletVolatilityBootstrapDefinition definition = SurfaceIborCapletFloorletVolatilityBootstrapDefinition.of(IborCapletFloorletVolatilitiesName.of("test"), USD_LIBOR_3M, ACT_ACT_ISDA, LINEAR, DOUBLE_QUADRATIC, ConstantCurve.of("Black shift", 0.02));
DoubleArray strikes = createNormalEquivStrikes();
RawOptionData data = RawOptionData.of(createNormalEquivMaturities(), strikes, ValueType.STRIKE, createFullNormalEquivDataMatrix(), ValueType.NORMAL_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
ShiftedBlackIborCapletFloorletExpiryStrikeVolatilities resVol = (ShiftedBlackIborCapletFloorletExpiryStrikeVolatilities)res.Volatilities;
for (int i = 0; i < strikes.size(); ++i)
{
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsNormalEquivVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.normalVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
NormalIborCapletFloorletExpiryStrikeVolatilities constVol = NormalIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_NORMAL.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, resVol).Amount;
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL);
}
}
assertEquals(res.ChiSquare, 0d);
}
public virtual void recovery_test_blackCurve()
{
SurfaceIborCapletFloorletVolatilityBootstrapDefinition definition = SurfaceIborCapletFloorletVolatilityBootstrapDefinition.of(IborCapletFloorletVolatilitiesName.of("test"), USD_LIBOR_3M, ACT_ACT_ISDA, LINEAR, LINEAR);
DoubleArray strikes = createBlackStrikes();
for (int i = 0; i < strikes.size(); ++i)
{
Pair <IList <Period>, DoubleMatrix> trimedData = trimData(createBlackMaturities(), createBlackDataMatrixForStrike(i));
RawOptionData data = RawOptionData.of(trimedData.First, DoubleArray.of(strikes.get(i)), ValueType.STRIKE, trimedData.Second, ValueType.BLACK_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
BlackIborCapletFloorletExpiryStrikeVolatilities resVol = (BlackIborCapletFloorletExpiryStrikeVolatilities)res.Volatilities;
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsBlackVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.blackVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
BlackIborCapletFloorletExpiryStrikeVolatilities constVol = BlackIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, resVol).Amount;
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL);
}
}
}
public virtual void recovery_test_black_fixedRho()
{
double rho = 0.15;
SabrIborCapletFloorletVolatilityCalibrationDefinition definition = SabrIborCapletFloorletVolatilityCalibrationDefinition.ofFixedRho(NAME, USD_LIBOR_3M, ACT_ACT_ISDA, rho, ALPHA_KNOTS, BETA_RHO_KNOTS, NU_KNOTS, DOUBLE_QUADRATIC, FLAT, FLAT, HAGAN);
ImmutableList <Period> maturities = createBlackMaturities();
DoubleArray strikes = createBlackStrikes();
DoubleMatrix volData = createFullBlackDataMatrix();
DoubleMatrix error = DoubleMatrix.filled(volData.rowCount(), volData.columnCount(), 1.0e-3);
RawOptionData data = RawOptionData.of(maturities, strikes, ValueType.STRIKE, volData, error, ValueType.BLACK_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
SabrParametersIborCapletFloorletVolatilities resVols = (SabrParametersIborCapletFloorletVolatilities)res.Volatilities;
for (int i = 0; i < NUM_BLACK_STRIKES; ++i)
{
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsBlackVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.blackVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
BlackIborCapletFloorletExpiryStrikeVolatilities constVol = BlackIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_SABR.presentValue(caps[j], RATES_PROVIDER, resVols).Amount;
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL * 5d);
}
}
assertEquals(resVols.Index, USD_LIBOR_3M);
assertEquals(resVols.Name, definition.Name);
assertEquals(resVols.ValuationDateTime, CALIBRATION_TIME);
assertEquals(resVols.ParameterCount, ALPHA_KNOTS.size() + BETA_RHO_KNOTS.size() + NU_KNOTS.size() + 2); // beta, shift counted
assertEquals(resVols.Parameters.ShiftCurve, definition.ShiftCurve);
assertEquals(resVols.Parameters.RhoCurve, definition.RhoCurve.get());
}
public virtual void recovery_test_flat()
{
DoubleArray initial = DoubleArray.of(0.4, 0.95, 0.5, 0.05);
SabrIborCapletFloorletVolatilityCalibrationDefinition definition = SabrIborCapletFloorletVolatilityCalibrationDefinition.ofFixedBeta(NAME, USD_LIBOR_3M, ACT_ACT_ISDA, ALPHA_KNOTS, BETA_RHO_KNOTS, NU_KNOTS, initial, LINEAR, FLAT, FLAT, HAGAN);
DoubleArray strikes = createBlackStrikes();
RawOptionData data = RawOptionData.of(createBlackMaturities(), strikes, ValueType.STRIKE, createFullFlatBlackDataMatrix(), ValueType.BLACK_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
SabrIborCapletFloorletVolatilities resVol = (SabrIborCapletFloorletVolatilities)res.Volatilities;
for (int i = 0; i < NUM_BLACK_STRIKES; ++i)
{
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsFlatBlackVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.blackVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
BlackIborCapletFloorletExpiryStrikeVolatilities constVol = BlackIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_SABR.presentValue(caps[j], RATES_PROVIDER, resVol).Amount;
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL);
}
}
}
public virtual void test_recovery_flatVol()
{
double beta = 0.8;
SabrIborCapletFloorletVolatilityBootstrapDefinition definition = SabrIborCapletFloorletVolatilityBootstrapDefinition.ofFixedBeta(IborCapletFloorletVolatilitiesName.of("test"), USD_LIBOR_3M, ACT_ACT_ISDA, beta, CurveInterpolators.STEP_UPPER, CurveExtrapolators.FLAT, CurveExtrapolators.FLAT, SabrHaganVolatilityFunctionProvider.DEFAULT);
RawOptionData data = RawOptionData.of(createBlackMaturities(), createBlackStrikes(), ValueType.STRIKE, createFullFlatBlackDataMatrix(), ValueType.BLACK_VOLATILITY);
IborCapletFloorletVolatilityCalibrationResult res = CALIBRATOR.calibrate(definition, CALIBRATION_TIME, data, RATES_PROVIDER);
SabrParametersIborCapletFloorletVolatilities resVols = (SabrParametersIborCapletFloorletVolatilities)res.Volatilities;
for (int i = 0; i < NUM_BLACK_STRIKES; ++i)
{
Pair <IList <ResolvedIborCapFloorLeg>, IList <double> > capsAndVols = getCapsFlatBlackVols(i);
IList <ResolvedIborCapFloorLeg> caps = capsAndVols.First;
IList <double> vols = capsAndVols.Second;
int nCaps = caps.Count;
for (int j = 0; j < nCaps; ++j)
{
ConstantSurface volSurface = ConstantSurface.of(Surfaces.blackVolatilityByExpiryStrike("test", ACT_ACT_ISDA), vols[j]);
BlackIborCapletFloorletExpiryStrikeVolatilities constVol = BlackIborCapletFloorletExpiryStrikeVolatilities.of(USD_LIBOR_3M, CALIBRATION_TIME, volSurface);
double priceOrg = LEG_PRICER_BLACK.presentValue(caps[j], RATES_PROVIDER, constVol).Amount;
double priceCalib = LEG_PRICER_SABR.presentValue(caps[j], RATES_PROVIDER, resVols).Amount;
assertEquals(priceOrg, priceCalib, Math.Max(priceOrg, 1d) * TOL);
}
}
}
