public virtual void test_parameterSensitivity_withSpread_full()
{
int periodPerYear = 2;
double spread = 0.0011; // 11 bp
ZeroRatePeriodicDiscountFactors test = ZeroRatePeriodicDiscountFactors.of(GBP, DATE_VAL, CURVE);
double sensiValue = 25d;
ZeroRateSensitivity point = test.zeroRatePointSensitivityWithSpread(DATE_AFTER, spread, PERIODIC, periodPerYear);
point = point.multipliedBy(sensiValue);
CurrencyParameterSensitivities sensiObject = test.parameterSensitivity(point);
assertEquals(sensiObject.Sensitivities.size(), 1);
DoubleArray sensi0 = sensiObject.Sensitivities.get(0).Sensitivity;
double shift = 1.0E-6;
for (int i = 0; i < X.size(); i++)
{
DoubleArray yP = Y.with(i, Y.get(i) + shift);
InterpolatedNodalCurve curveP = InterpolatedNodalCurve.of(META_ZERO_PERIODIC, X, yP, INTERPOLATOR);
double dfP = ZeroRatePeriodicDiscountFactors.of(GBP, DATE_VAL, curveP).discountFactorWithSpread(DATE_AFTER, spread, PERIODIC, periodPerYear);
DoubleArray yM = Y.with(i, Y.get(i) - shift);
InterpolatedNodalCurve curveM = InterpolatedNodalCurve.of(META_ZERO_PERIODIC, X, yM, INTERPOLATOR);
double dfM = ZeroRatePeriodicDiscountFactors.of(GBP, DATE_VAL, curveM).discountFactorWithSpread(DATE_AFTER, spread, PERIODIC, periodPerYear);
assertEquals(sensi0.get(i), sensiValue * (dfP - dfM) / (2 * shift), TOLERANCE_DELTA_FD, "With spread - " + i);
}
}
public virtual void test_zeroRatePointSensitivityWithSpread_sensitivityCurrency_smallYearFraction()
{
ZeroRatePeriodicDiscountFactors test = ZeroRatePeriodicDiscountFactors.of(GBP, DATE_VAL, CURVE);
ZeroRateSensitivity expected = ZeroRateSensitivity.of(GBP, 0d, USD, 0.0d);
ZeroRateSensitivity computed = test.zeroRatePointSensitivityWithSpread(DATE_VAL, USD, SPREAD, CONTINUOUS, 0);
assertTrue(computed.compareKey(expected) == 0);
assertEquals(computed.Sensitivity, expected.Sensitivity, TOLERANCE_DELTA_FD);
}
public virtual void test_zeroRatePointSensitivityWithSpread_sensitivityCurrency_continous()
{
ZeroRatePeriodicDiscountFactors test = ZeroRatePeriodicDiscountFactors.of(GBP, DATE_VAL, CURVE);
double relativeYearFraction = ACT_365F.relativeYearFraction(DATE_VAL, DATE_AFTER);
double df = test.discountFactorWithSpread(DATE_AFTER, SPREAD, CONTINUOUS, 0);
ZeroRateSensitivity expected = ZeroRateSensitivity.of(GBP, relativeYearFraction, USD, -df * relativeYearFraction);
ZeroRateSensitivity computed = test.zeroRatePointSensitivityWithSpread(DATE_AFTER, USD, SPREAD, CONTINUOUS, 0);
assertTrue(computed.compareKey(expected) == 0);
assertEquals(computed.Sensitivity, expected.Sensitivity, TOLERANCE_DELTA);
}
public virtual void test_zeroRatePointSensitivityWithSpread_sensitivityCurrency_periodic()
{
int periodPerYear = 4;
ZeroRatePeriodicDiscountFactors test = ZeroRatePeriodicDiscountFactors.of(GBP, DATE_VAL, CURVE);
double relativeYearFraction = ACT_365F.relativeYearFraction(DATE_VAL, DATE_AFTER);
double df = test.discountFactor(DATE_AFTER);
double z = -1.0 / relativeYearFraction * Math.Log(df);
double shift = 1.0E-6;
double zP = z + shift;
double zM = z - shift;
double dfSP = Math.Pow(Math.Pow(Math.Exp(-zP * relativeYearFraction), -1.0 / (relativeYearFraction * periodPerYear)) + SPREAD / periodPerYear, -relativeYearFraction * periodPerYear);
double dfSM = Math.Pow(Math.Pow(Math.Exp(-zM * relativeYearFraction), -1.0 / (relativeYearFraction * periodPerYear)) + SPREAD / periodPerYear, -relativeYearFraction * periodPerYear);
double ddfSdz = (dfSP - dfSM) / (2 * shift);
ZeroRateSensitivity expected = ZeroRateSensitivity.of(GBP, relativeYearFraction, USD, ddfSdz);
ZeroRateSensitivity computed = test.zeroRatePointSensitivityWithSpread(DATE_AFTER, USD, SPREAD, PERIODIC, periodPerYear);
assertTrue(computed.compareKey(expected) == 0);
assertEquals(computed.Sensitivity, expected.Sensitivity, TOLERANCE_DELTA_FD);
}
