/** Test {@link BlackVolatilityExpiryTenorSwaptionProvider}. */
@Test
public class BlackVolatilityExpiryTenorSwaptionProviderTest {
private static final Interpolator1D LINEAR_FLAT =
CombinedInterpolatorExtrapolator.of(
CurveInterpolators.LINEAR.getName(),
CurveExtrapolators.FLAT.getName(),
CurveExtrapolators.FLAT.getName());
private static final GridInterpolator2D INTERPOLATOR_2D =
new GridInterpolator2D(LINEAR_FLAT, LINEAR_FLAT);
private static final DoubleArray TIME =
DoubleArray.of(0.25, 0.5, 1.0, 0.25, 0.5, 1.0, 0.25, 0.5, 1.0, 0.25, 0.5, 1.0);
private static final DoubleArray TENOR =
DoubleArray.of(3.0, 3.0, 3.0, 5.0, 5.0, 5.0, 7.0, 7.0, 7.0, 10.0, 10.0, 10.0);
private static final DoubleArray VOL =
DoubleArray.of(0.14, 0.12, 0.1, 0.14, 0.13, 0.12, 0.13, 0.12, 0.11, 0.12, 0.11, 0.1);
private static final SurfaceMetadata METADATA_WITH_PARAM;
private static final SurfaceMetadata METADATA;
static {
List<SwaptionSurfaceExpiryTenorNodeMetadata> list =
new ArrayList<SwaptionSurfaceExpiryTenorNodeMetadata>();
int nData = TIME.size();
for (int i = 0; i < nData; ++i) {
SwaptionSurfaceExpiryTenorNodeMetadata parameterMetadata =
SwaptionSurfaceExpiryTenorNodeMetadata.of(TIME.get(i), TENOR.get(i));
list.add(parameterMetadata);
}
METADATA_WITH_PARAM =
DefaultSurfaceMetadata.builder()
.dayCount(ACT_365F)
.parameterMetadata(list)
.surfaceName(SurfaceName.of("GOVT1-SWAPTION-VOL"))
.xValueType(ValueType.YEAR_FRACTION)
.yValueType(ValueType.YEAR_FRACTION)
.build();
METADATA =
DefaultSurfaceMetadata.builder()
.dayCount(ACT_365F)
.surfaceName(SurfaceName.of("GOVT1-SWAPTION-VOL"))
.xValueType(ValueType.YEAR_FRACTION)
.yValueType(ValueType.YEAR_FRACTION)
.build();
}
private static final InterpolatedNodalSurface SURFACE_WITH_PARAM =
InterpolatedNodalSurface.of(METADATA_WITH_PARAM, TIME, TENOR, VOL, INTERPOLATOR_2D);
private static final InterpolatedNodalSurface SURFACE =
InterpolatedNodalSurface.of(METADATA, TIME, TENOR, VOL, INTERPOLATOR_2D);
private static final FixedIborSwapConvention CONVENTION =
FixedIborSwapConventions.GBP_FIXED_1Y_LIBOR_3M;
private static final LocalDate VALUATION_DATE = date(2015, 2, 17);
private static final LocalTime VALUATION_TIME = LocalTime.of(13, 45);
private static final ZoneId LONDON_ZONE = ZoneId.of("Europe/London");
private static final ZonedDateTime VALUATION_DATE_TIME =
VALUATION_DATE.atTime(VALUATION_TIME).atZone(LONDON_ZONE);
private static final BlackVolatilityExpiryTenorSwaptionProvider PROVIDER_WITH_PARAM =
BlackVolatilityExpiryTenorSwaptionProvider.of(
SURFACE_WITH_PARAM, CONVENTION, ACT_365F, VALUATION_DATE, VALUATION_TIME, LONDON_ZONE);
private static final BlackVolatilityExpiryTenorSwaptionProvider PROVIDER =
BlackVolatilityExpiryTenorSwaptionProvider.of(
SURFACE, CONVENTION, ACT_365F, VALUATION_DATE, VALUATION_TIME, LONDON_ZONE);
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 double[] TEST_TENOR = new double[] {2.0, 6.0, 7.0, 15.0};
private static final double[] TEST_SENSITIVITY = new double[] {1.0, 1.0, 1.0, 1.0};
private static final double TEST_FORWARD = 0.025; // not used internally
private static final double TEST_STRIKE = 0.03; // not used internally
private static final double TOLERANCE_VOL = 1.0E-10;
// -------------------------------------------------------------------------
public void test_valuationDate() {
assertEquals(PROVIDER_WITH_PARAM.getValuationDateTime(), VALUATION_DATE_TIME);
}
public void test_swapConvention() {
assertEquals(PROVIDER_WITH_PARAM.getConvention(), CONVENTION);
}
public void test_tenor() {
double test1 = PROVIDER_WITH_PARAM.tenor(VALUATION_DATE, VALUATION_DATE);
assertEquals(test1, 0d);
double test2 = PROVIDER_WITH_PARAM.tenor(VALUATION_DATE, date(2018, 2, 28));
assertEquals(test2, 3d);
double test3 = PROVIDER_WITH_PARAM.tenor(VALUATION_DATE, date(2018, 2, 10));
assertEquals(test3, 3d);
}
public void test_relativeTime() {
double test1 = PROVIDER_WITH_PARAM.relativeTime(VALUATION_DATE_TIME);
assertEquals(test1, 0d);
double test2 = PROVIDER_WITH_PARAM.relativeTime(date(2018, 2, 17).atStartOfDay(LONDON_ZONE));
double test3 = PROVIDER_WITH_PARAM.relativeTime(date(2012, 2, 17).atStartOfDay(LONDON_ZONE));
assertEquals(test2, -test3); // consistency checked
}
public void test_volatility() {
for (int i = 0; i < NB_TEST; i++) {
double expiryTime = PROVIDER_WITH_PARAM.relativeTime(TEST_OPTION_EXPIRY[i]);
double volExpected = SURFACE_WITH_PARAM.zValue(expiryTime, TEST_TENOR[i]);
double volComputed =
PROVIDER_WITH_PARAM.getVolatility(
TEST_OPTION_EXPIRY[i], TEST_TENOR[i], TEST_STRIKE, TEST_FORWARD);
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++) {
SwaptionSensitivity point =
SwaptionSensitivity.of(
CONVENTION,
TEST_OPTION_EXPIRY[i],
TENOR.get(i),
TEST_STRIKE,
TEST_FORWARD,
GBP,
TEST_SENSITIVITY[i]);
SurfaceCurrencyParameterSensitivity sensi =
PROVIDER_WITH_PARAM.surfaceCurrencyParameterSensitivity(point);
Map<DoublesPair, Double> map = new HashMap<DoublesPair, Double>();
for (int j = 0; j < nData; ++j) {
DoubleArray volDataUp = VOL.subArray(0, nData).with(j, VOL.get(j) + eps);
DoubleArray volDataDw = VOL.subArray(0, nData).with(j, VOL.get(j) - eps);
InterpolatedNodalSurface paramUp =
InterpolatedNodalSurface.of(
METADATA_WITH_PARAM, TIME, TENOR, volDataUp, INTERPOLATOR_2D);
InterpolatedNodalSurface paramDw =
InterpolatedNodalSurface.of(
METADATA_WITH_PARAM, TIME, TENOR, volDataDw, INTERPOLATOR_2D);
BlackVolatilityExpiryTenorSwaptionProvider provUp =
BlackVolatilityExpiryTenorSwaptionProvider.of(
paramUp, CONVENTION, ACT_365F, VALUATION_DATE_TIME);
BlackVolatilityExpiryTenorSwaptionProvider provDw =
BlackVolatilityExpiryTenorSwaptionProvider.of(
paramDw, CONVENTION, ACT_365F, VALUATION_DATE_TIME);
double volUp =
provUp.getVolatility(TEST_OPTION_EXPIRY[i], TEST_TENOR[i], TEST_STRIKE, TEST_FORWARD);
double volDw =
provDw.getVolatility(TEST_OPTION_EXPIRY[i], TEST_TENOR[i], TEST_STRIKE, TEST_FORWARD);
double fd = 0.5 * (volUp - volDw) / eps;
map.put(DoublesPair.of(TIME.get(j), TENOR.get(j)), fd);
}
SurfaceCurrencyParameterSensitivity sensiFromNoMetadata =
PROVIDER.surfaceCurrencyParameterSensitivity(point);
List<SurfaceParameterMetadata> list = sensi.getMetadata().getParameterMetadata().get();
DoubleArray computed = sensi.getSensitivity();
assertEquals(computed.size(), nData);
for (int j = 0; j < list.size(); ++j) {
SwaptionSurfaceExpiryTenorNodeMetadata metadata =
(SwaptionSurfaceExpiryTenorNodeMetadata) list.get(i);
double expected = map.get(DoublesPair.of(metadata.getYearFraction(), metadata.getTenor()));
assertEquals(computed.get(i), expected, eps);
assertTrue(
sensiFromNoMetadata.getMetadata().getParameterMetadata().get().contains(metadata));
}
}
}
// -------------------------------------------------------------------------
public void coverage() {
BlackVolatilityExpiryTenorSwaptionProvider test1 =
BlackVolatilityExpiryTenorSwaptionProvider.of(
SURFACE_WITH_PARAM, CONVENTION, ACT_365F, VALUATION_DATE_TIME);
coverImmutableBean(test1);
BlackVolatilityExpiryTenorSwaptionProvider test2 =
BlackVolatilityExpiryTenorSwaptionProvider.of(SURFACE, CONVENTION, ACT_360, VALUATION_DATE);
coverBeanEquals(test1, test2);
}
}
/** Black volatility data sets for testing. */
public class SwaptionNormalVolatilityDataSets {
private static final double BP1 = 1.0E-4;
private static final Interpolator1D LINEAR_FLAT =
CombinedInterpolatorExtrapolator.of(
CurveInterpolators.LINEAR.getName(),
CurveExtrapolators.FLAT.getName(),
CurveExtrapolators.FLAT.getName());
private static final GridInterpolator2D INTERPOLATOR_2D =
new GridInterpolator2D(LINEAR_FLAT, LINEAR_FLAT);
// ===== Standard figures for testing =====
private static final DoubleArray TIMES =
DoubleArray.of(
0.50, 1.00, 5.00, 10.0, 0.50, 1.00, 5.00, 10.0, 0.50, 1.00, 5.00, 10.0, 0.50, 1.00, 5.00,
10.0, 0.50, 1.00, 5.00, 10.0);
private static final DoubleArray TENOR =
DoubleArray.of(
1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 5.0, 5.0, 5.0, 5.0, 10.0, 10.0, 10.0, 10.0, 30.0,
30.0, 30.0, 30.0);
private static final DoubleArray NORMAL_VOL =
DoubleArray.of(
0.010, 0.011, 0.012, 0.013, 0.011, 0.012, 0.013, 0.014, 0.012, 0.013, 0.014, 0.015, 0.013,
0.014, 0.015, 0.016, 0.014, 0.015, 0.016, 0.017);
private static final SurfaceMetadata METADATA =
DefaultSurfaceMetadata.builder()
.xValueType(ValueType.YEAR_FRACTION)
.yValueType(ValueType.YEAR_FRACTION)
.zValueType(ValueType.VOLATILITY)
.surfaceName(SurfaceName.of("Normal Vol"))
.build();
private static final NodalSurface SURFACE_STD =
InterpolatedNodalSurface.of(METADATA, TIMES, TENOR, NORMAL_VOL, INTERPOLATOR_2D);
private static final LocalDate VALUATION_DATE_STD = RatesProviderDataSets.VAL_DATE_2014_01_22;
private static final LocalTime VALUATION_TIME_STD = LocalTime.of(13, 45);
private static final ZoneId VALUATION_ZONE_STD = ZoneId.of("Europe/London");
private static final BusinessDayAdjustment MOD_FOL_US =
BusinessDayAdjustment.of(MODIFIED_FOLLOWING, USNY);
private static final FixedRateSwapLegConvention USD_FIXED_1Y_30U360 =
FixedRateSwapLegConvention.of(USD, THIRTY_U_360, Frequency.P6M, MOD_FOL_US);
private static final IborRateSwapLegConvention USD_IBOR_LIBOR3M =
IborRateSwapLegConvention.of(USD_LIBOR_3M);
public static final FixedIborSwapConvention USD_1Y_LIBOR3M =
ImmutableFixedIborSwapConvention.of("USD-Swap", USD_FIXED_1Y_30U360, USD_IBOR_LIBOR3M);
public static final NormalVolatilityExpiryTenorSwaptionProvider
NORMAL_VOL_SWAPTION_PROVIDER_USD_STD =
NormalVolatilityExpiryTenorSwaptionProvider.of(
SURFACE_STD,
USD_1Y_LIBOR3M,
DayCounts.ACT_365F,
VALUATION_DATE_STD,
VALUATION_TIME_STD,
VALUATION_ZONE_STD);
/**
* Returns the swaption normal volatility surface shifted by a given amount. The shift is
* parallel.
*
* @param shift the shift
* @return the swaption normal volatility surface
*/
public static NormalVolatilityExpiryTenorSwaptionProvider normalVolSwaptionProviderUsdStsShifted(
double shift) {
DoubleArray volShifted = NORMAL_VOL.map(v -> v + shift);
return NormalVolatilityExpiryTenorSwaptionProvider.of(
InterpolatedNodalSurface.of(METADATA, TIMES, TENOR, volShifted, INTERPOLATOR_2D),
USD_1Y_LIBOR3M,
DayCounts.ACT_365F,
VALUATION_DATE_STD,
VALUATION_TIME_STD,
VALUATION_ZONE_STD);
}
public static NormalVolatilityExpiryTenorSwaptionProvider normalVolSwaptionProviderUsdStd(
LocalDate valuationDate) {
return NormalVolatilityExpiryTenorSwaptionProvider.of(
SURFACE_STD,
USD_1Y_LIBOR3M,
DayCounts.ACT_365F,
valuationDate,
VALUATION_TIME_STD,
VALUATION_ZONE_STD);
}
// ===== Flat volatilities for testing =====
private static final DoubleArray TIMES_FLAT = DoubleArray.of(0.0, 100.0, 0.0, 100.0);
private static final DoubleArray TENOR_FLAT = DoubleArray.of(0.0, 0.0, 30.0, 30.0);
private static final DoubleArray NORMAL_VOL_FLAT = DoubleArray.of(0.01, 0.01, 0.01, 0.01);
private static final InterpolatedNodalSurface SURFACE_FLAT =
InterpolatedNodalSurface.of(
METADATA, TIMES_FLAT, TENOR_FLAT, NORMAL_VOL_FLAT, INTERPOLATOR_2D);
public static final NormalVolatilityExpiryTenorSwaptionProvider
NORMAL_VOL_SWAPTION_PROVIDER_USD_FLAT =
NormalVolatilityExpiryTenorSwaptionProvider.of(
SURFACE_FLAT,
USD_1Y_LIBOR3M,
DayCounts.ACT_365F,
VALUATION_DATE_STD,
VALUATION_TIME_STD,
VALUATION_ZONE_STD);
// ===== Market data as of 2014-03-20 =====
private static final DoubleArray TIMES_20150320 =
DoubleArray.of(
0.25, 0.25, 0.25, 0.25, 0.25, 0.50, 0.50, 0.50, 0.50, 0.50, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0,
2.0, 2.0, 2.0, 2.0, 5.0, 5.0, 5.0, 5.0, 5.0, 10.0, 10.0, 10.0, 10.0, 10.0);
private static final DoubleArray TENORS_20150320 =
DoubleArray.of(
1.0, 2.0, 5.0, 10.0, 30.0, 1.0, 2.0, 5.0, 10.0, 30.0, 1.0, 2.0, 5.0, 10.0, 30.0, 1.0, 2.0,
5.0, 10.0, 30.0, 1.0, 2.0, 5.0, 10.0, 30.0, 1.0, 2.0, 5.0, 10.0, 30.0);
private static final DoubleArray NORMAL_VOL_20150320_BP =
DoubleArray.of(
43.6, 65.3, 88, 87.5, 88, // 3M
55.5, 72.2, 90.3, 89.3, 88.6, // 6M
72.6, 82.7, 91.6, 89.8, 87.3, // 1Y
90.4, 91.9, 93.4, 84.7, 93.5, // 2Y
99.3, 96.8, 94.3, 88.6, 77.3, // 5Y
88.4, 85.9, 82.2, 76.7, 65.1); // 10Y
private static final DoubleArray NORMAL_VOL_20150320 = NORMAL_VOL_20150320_BP.map(v -> v * BP1);
private static final NodalSurface SURFACE_20150320 =
InterpolatedNodalSurface.of(
METADATA, TIMES_20150320, TENORS_20150320, NORMAL_VOL_20150320, INTERPOLATOR_2D);
private static final LocalDate VALUATION_DATE_20150320 = LocalDate.of(2015, 3, 20);
private static final LocalTime VALUATION_TIME_20150320 = LocalTime.of(18, 00);
private static final ZoneId VALUATION_ZONE_20150320 = ZoneId.of("Europe/London");
public static final NormalVolatilityExpiryTenorSwaptionProvider
NORMAL_VOL_SWAPTION_PROVIDER_USD_20150320 =
NormalVolatilityExpiryTenorSwaptionProvider.of(
SURFACE_20150320,
USD_1Y_LIBOR3M,
DayCounts.ACT_365F,
VALUATION_DATE_20150320,
VALUATION_TIME_20150320,
VALUATION_ZONE_20150320);
}
