@Test
/**
* Test the present value rate sensitivity for a CMS cap with pricing by replication in the SABR
* with extrapolation framework.
*/
public void presentValueCurveSensitivity() {
final MultipleCurrencyParameterSensitivity pvpsCapLongExact =
PS_SS_C.calculateSensitivity(
CMS_CAP_LONG, SABR_MULTICURVES, SABR_MULTICURVES.getMulticurveProvider().getAllNames());
final MultipleCurrencyParameterSensitivity pvpsCapLongFD =
PS_SS_FDC.calculateSensitivity(CMS_CAP_LONG, SABR_MULTICURVES);
AssertSensivityObjects.assertEquals(
"SwaptionPhysicalFixedIborSABRMethod: presentValueCurveSensitivity ",
pvpsCapLongExact,
pvpsCapLongFD,
TOLERANCE_PV_DELTA);
final MultipleCurrencyParameterSensitivity pvpsCapShortExact =
PS_SS_C.calculateSensitivity(
CMS_CAP_SHORT,
SABR_MULTICURVES,
SABR_MULTICURVES.getMulticurveProvider().getAllNames());
final MultipleCurrencyParameterSensitivity pvpsCapShortFD =
PS_SS_FDC.calculateSensitivity(CMS_CAP_SHORT, SABR_MULTICURVES);
AssertSensivityObjects.assertEquals(
"SwaptionPhysicalFixedIborSABRMethod: presentValueCurveSensitivity ",
pvpsCapShortExact,
pvpsCapShortFD,
TOLERANCE_PV_DELTA);
}
/**
* Test the present value rate sensitivity for a CMS cap with pricing by replication in the SABR
* with extrapolation framework.
*/
public void presentValueCurveSensitivity() {
final MultipleCurrencyParameterSensitivity pvpsCapLongExact =
PS_SS_C.calculateSensitivity(
CMS_CAP_LONG, SABR_MULTICURVES, SABR_MULTICURVES.getMulticurveProvider().getAllNames());
final MultipleCurrencyParameterSensitivity pvpsCapLongFD =
PS_SS_FDC.calculateSensitivity(CMS_CAP_LONG, SABR_MULTICURVES);
AssertSensitivityObjects.assertEquals(
"SwaptionPhysicalFixedIborSABRMethod: presentValueCurveSensitivity ",
pvpsCapLongExact,
pvpsCapLongFD,
TOLERANCE_PV_DELTA);
final MultipleCurrencyParameterSensitivity pvpsCapShortExact =
PS_SS_C.calculateSensitivity(
CMS_CAP_SHORT,
SABR_MULTICURVES,
SABR_MULTICURVES.getMulticurveProvider().getAllNames());
final MultipleCurrencyParameterSensitivity pvpsCapShortFD =
PS_SS_FDC.calculateSensitivity(CMS_CAP_SHORT, SABR_MULTICURVES);
AssertSensitivityObjects.assertEquals(
"SwaptionPhysicalFixedIborSABRMethod: presentValueCurveSensitivity ",
pvpsCapShortExact,
pvpsCapShortFD,
TOLERANCE_PV_DELTA);
}
@Test
/** Tests present value curve sensitivity when the valuation date is on trade date. */
public void presentValueCurveSensitivity() {
final MultipleCurrencyParameterSensitivity pvpsExact =
PS_HW_C.calculateSensitivity(
SWAPTION_SHORT_RECEIVER,
HW_MULTICURVES,
HW_MULTICURVES.getMulticurveProvider().getAllNames());
final MultipleCurrencyParameterSensitivity pvpsFD =
PS_HW_FDC.calculateSensitivity(SWAPTION_SHORT_RECEIVER, HW_MULTICURVES);
AssertSensivityObjects.assertEquals(
"SwaptionPhysicalFixedIborSABRMethod: presentValueCurveSensitivity ",
pvpsExact,
pvpsFD,
TOLERANCE_PV_DELTA);
}
@Test
/** Tests the curve sensitivity for the explicit formula. */
public void presentValueCurveSensitivity() {
final MultipleCurrencyParameterSensitivity pvpsExact =
PS_BS_C.calculateSensitivity(
SWAPTION_LONG_REC,
BLACK_MULTICURVES,
BLACK_MULTICURVES.getMulticurveProvider().getAllNames());
final MultipleCurrencyParameterSensitivity pvpsFD =
PS_BS_FDC.calculateSensitivity(SWAPTION_LONG_REC, BLACK_MULTICURVES);
AssertSensivityObjects.assertEquals(
"Swaption Black method: presentValueCurveSensitivity ",
pvpsExact,
pvpsFD,
TOLERANCE_PV_DELTA);
}
@Test(enabled = false)
/** Tests present value curve sensitivity when the valuation date is on trade date. */
public void presentValueCurveSensitivityStability() {
// 5Yx5Y
final MultipleCurrencyParameterSensitivity pvpsExact =
PS_HW_C.calculateSensitivity(
SWAPTION_SHORT_RECEIVER,
HW_MULTICURVES,
HW_MULTICURVES.getMulticurveProvider().getAllNames());
final double derivativeExact = pvpsExact.totalSensitivity(MULTICURVES.getFxRates(), EUR);
final double startingShift = 1.0E-4;
final double ratio = Math.sqrt(2.0);
final int nbShift = 55;
final double[] eps = new double[nbShift + 1];
final double[] derivative_FD = new double[nbShift];
final double[] diff = new double[nbShift];
eps[0] = startingShift;
for (int loopshift = 0; loopshift < nbShift; loopshift++) {
final ParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator fdShift =
new ParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator(PVHWC, eps[loopshift]);
final MultipleCurrencyParameterSensitivity pvpsFD =
fdShift.calculateSensitivity(SWAPTION_SHORT_RECEIVER, HW_MULTICURVES);
derivative_FD[loopshift] = pvpsFD.totalSensitivity(MULTICURVES.getFxRates(), EUR);
diff[loopshift] = derivative_FD[loopshift] - derivativeExact;
eps[loopshift + 1] = eps[loopshift] / ratio;
}
// 1Mx5Y
final Period expirationPeriod =
Period.ofDays(
1); // Period.ofDays(1); Period.ofDays(7); Period.ofMonths(1); Period.ofYears(1);
// Period.ofYears(10);
final ZonedDateTime expiryDateExp =
ScheduleCalculator.getAdjustedDate(REFERENCE_DATE, expirationPeriod, EURIBOR6M, CALENDAR);
final ZonedDateTime settlementDateExp =
ScheduleCalculator.getAdjustedDate(expiryDateExp, SPOT_LAG, CALENDAR);
final double ATM = 0.0151; // 1W: 1.52% - 1M: 1.52% - 1Y: 1.51% - 10Y: 1.51%
final SwapFixedIborDefinition swapExpx5YDefinition =
SwapFixedIborDefinition.from(
settlementDateExp, SWAP_TENOR, EUR1YEURIBOR6M, NOTIONAL, ATM, !FIXED_IS_PAYER);
final SwaptionPhysicalFixedIborDefinition swaptionExpx5YDefinition =
SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, swapExpx5YDefinition, !IS_LONG);
final SwaptionPhysicalFixedIbor swaptionExpx5Y =
swaptionExpx5YDefinition.toDerivative(REFERENCE_DATE);
// final double forward = swaptionExpx5Y.getUnderlyingSwap().accept(PRDC, MULTICURVES);
final MultipleCurrencyParameterSensitivity pvpsExactExp =
PS_HW_C.calculateSensitivity(
swaptionExpx5Y, HW_MULTICURVES, HW_MULTICURVES.getMulticurveProvider().getAllNames());
final double derivativeExactExp = pvpsExactExp.totalSensitivity(MULTICURVES.getFxRates(), EUR);
final double[] derivative_FDExp = new double[nbShift];
final double[] diffExp = new double[nbShift];
for (int loopshift = 0; loopshift < nbShift; loopshift++) {
final ParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator fdShift =
new ParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator(PVHWC, eps[loopshift]);
final MultipleCurrencyParameterSensitivity pvpsFD =
fdShift.calculateSensitivity(swaptionExpx5Y, HW_MULTICURVES);
derivative_FDExp[loopshift] = pvpsFD.totalSensitivity(MULTICURVES.getFxRates(), EUR);
diffExp[loopshift] = derivative_FDExp[loopshift] - derivativeExactExp;
}
// int t = 0;
// t++;
}
