@Test
/** Test the price computed from the curves */
public void price() {
final YieldCurveBundle curves = TestsDataSets.createCurves1();
final double price = METHOD.price(ERU2, curves);
final YieldAndDiscountCurve forwardCurve = curves.getCurve(FORWARD_CURVE_NAME);
final double forward =
(forwardCurve.getDiscountFactor(FIXING_START_TIME)
/ forwardCurve.getDiscountFactor(FIXING_END_TIME)
- 1)
/ FIXING_ACCRUAL;
final double factor = MODEL.futureConvexityFactor(ERU2, MODEL_PARAMETERS);
final double expectedPrice = 1.0 - factor * forward + (1 - factor) / FIXING_ACCRUAL;
assertEquals("Future price from curves in Hull-White one factor model", expectedPrice, price);
}
/**
* Computes the interest rate sensitivity of future price.
*
* @param future The future security.
* @param curves The curves.
* @return The curve sensitivity.
*/
@Override
public InterestRateCurveSensitivity priceCurveSensitivity(
final FederalFundsFutureSecurity future, final YieldCurveBundle curves) {
Validate.notNull(future, "Future");
Validate.notNull(curves, "Curves");
int nbFixing = future.getFixingPeriodAccrualFactor().length;
YieldAndDiscountCurve ois = curves.getCurve(future.getOISCurveName());
double[] df = new double[nbFixing + 1];
for (int loopfix = 0; loopfix < nbFixing + 1; loopfix++) {
df[loopfix] = ois.getDiscountFactor(future.getFixingPeriodTime()[loopfix]);
}
// Backward sweep
double priceBar = 1.0;
double interestBar = -1.0 / future.getFixingTotalAccrualFactor() * priceBar;
double[] dfBar = new double[nbFixing + 1];
for (int loopfix = 0; loopfix < nbFixing; loopfix++) {
dfBar[loopfix] += 1.0 / df[loopfix + 1] * interestBar;
dfBar[loopfix + 1] += -df[loopfix] / (df[loopfix + 1] * df[loopfix + 1]) * interestBar;
}
Map<String, List<DoublesPair>> resultMap = new HashMap<String, List<DoublesPair>>();
List<DoublesPair> listOIS = new ArrayList<DoublesPair>();
for (int loopfix = 0; loopfix < nbFixing + 1; loopfix++) {
listOIS.add(
new DoublesPair(
future.getFixingPeriodTime()[loopfix],
-future.getFixingPeriodTime()[loopfix] * df[loopfix] * dfBar[loopfix]));
}
resultMap.put(future.getOISCurveName(), listOIS);
InterestRateCurveSensitivity result = new InterestRateCurveSensitivity(resultMap);
return result;
}
@Test(enabled = false)
/**
* Test the present value vs a external system. "enabled = false" for the standard testing: the
* external system is using a TimeCalculator with ACT/365.
*/
public void presentValueExternal() {
G2ppPiecewiseConstantParameters parametersCst = G2ppTestsDataSet.createG2ppCstParameters();
final YieldAndDiscountCurve curve5 = new YieldCurve(ConstantDoublesCurve.from(0.05));
final YieldCurveBundle curves = new YieldCurveBundle();
curves.setCurve(FUNDING_CURVE_NAME, curve5);
curves.setCurve(FORWARD_CURVE_NAME, curve5);
G2ppPiecewiseConstantDataBundle bundleCst =
new G2ppPiecewiseConstantDataBundle(parametersCst, curves);
CurrencyAmount pv = METHOD_G2PP_APPROXIMATION.presentValue(SWAPTION_PAYER_LONG, bundleCst);
double pvExternal = 6885626.28245924; // ! TimeCalculator with ACT/365
assertEquals(
"Swaption physical - G2++ - present value - external system",
pvExternal,
pv.getAmount(),
1E-2);
}
@Override
/**
* Computes the Federal Funds future price using average of forward rates (not convexity
* adjustment).
*
* @param future The future security.
* @param curves The curves.
* @return The price.
*/
public double price(final FederalFundsFutureSecurity future, final YieldCurveBundle curves) {
Validate.notNull(future, "Future");
Validate.notNull(curves, "Curves");
int nbFixing = future.getFixingPeriodAccrualFactor().length;
YieldAndDiscountCurve ois = curves.getCurve(future.getOISCurveName());
double[] df = new double[nbFixing + 1];
for (int loopfix = 0; loopfix < nbFixing + 1; loopfix++) {
df[loopfix] = ois.getDiscountFactor(future.getFixingPeriodTime()[loopfix]);
}
double interest = future.getAccruedInterest();
for (int loopfix = 0; loopfix < nbFixing; loopfix++) {
interest += df[loopfix] / df[loopfix + 1] - 1.0;
}
return 1.0 - interest / future.getFixingTotalAccrualFactor();
}
@Test
/**
* Test the present value sensitivity to rate for a swaption with strike above the cut-off strike.
*/
public void testPresentValueSensitivityExtra() {
final YieldCurveBundle curves = TestsDataSetsSABR.createCurves1();
final SABRInterestRateParameters sabrParameter = TestsDataSetsSABR.createSABR1();
final SABRInterestRateDataBundle sabrBundle =
new SABRInterestRateDataBundle(sabrParameter, curves);
final double highStrike = 0.10;
final SwapFixedIborDefinition swapDefinitionPayerHighStrike =
SwapFixedIborDefinition.from(
SETTLEMENT_DATE, CMS_INDEX, NOTIONAL, highStrike, FIXED_IS_PAYER);
final SwaptionCashFixedIborDefinition swaptionDefinitionLongPayerHighStrike =
SwaptionCashFixedIborDefinition.from(EXPIRY_DATE, swapDefinitionPayerHighStrike, IS_LONG);
final SwaptionCashFixedIborDefinition swaptionDefinitionShortPayerHighStrike =
SwaptionCashFixedIborDefinition.from(EXPIRY_DATE, swapDefinitionPayerHighStrike, !IS_LONG);
final SwaptionCashFixedIbor swaptionLongPayerHighStrike =
swaptionDefinitionLongPayerHighStrike.toDerivative(REFERENCE_DATE, CURVES_NAME);
final SwaptionCashFixedIbor swaptionShortPayerHighStrike =
swaptionDefinitionShortPayerHighStrike.toDerivative(REFERENCE_DATE, CURVES_NAME);
final SwaptionCashFixedIborSABRExtrapolationRightMethod methodExtra =
new SwaptionCashFixedIborSABRExtrapolationRightMethod(CUT_OFF_STRIKE, MU);
// Swaption sensitivity
InterestRateCurveSensitivity pvsLongPayerExtra =
methodExtra.presentValueSensitivity(swaptionLongPayerHighStrike, sabrBundle);
final InterestRateCurveSensitivity pvsShortPayerExtra =
methodExtra.presentValueSensitivity(swaptionShortPayerHighStrike, sabrBundle);
// Long/short parity
final InterestRateCurveSensitivity pvsShortPayer_1 = pvsShortPayerExtra.multiply(-1);
assertEquals(pvsLongPayerExtra.getSensitivities(), pvsShortPayer_1.getSensitivities());
// Present value sensitivity comparison with finite difference.
final double deltaTolerance = 5.0E+4;
// Testing note: Sensitivity is for a movement of 1. 1E+2 = 1 cent for a 1 bp move. Tolerance
// increased to cope with numerical imprecision of finite difference.
final double deltaShift = 1.0E-5;
pvsLongPayerExtra = pvsLongPayerExtra.clean();
final double pv = methodExtra.presentValue(swaptionLongPayerHighStrike, sabrBundle);
// 1. Forward curve sensitivity
final String bumpedCurveName = "Bumped Curve";
final String[] bumpedCurvesForwardName = {FUNDING_CURVE_NAME, bumpedCurveName};
final SwaptionCashFixedIbor swaptionBumpedForward =
swaptionDefinitionLongPayerHighStrike.toDerivative(REFERENCE_DATE, bumpedCurvesForwardName);
final YieldAndDiscountCurve curveForward = curves.getCurve(FORWARD_CURVE_NAME);
final Set<Double> timeForwardSet = new TreeSet<Double>();
for (final Payment pay :
swaptionLongPayerHighStrike.getUnderlyingSwap().getSecondLeg().getPayments()) {
final CouponIbor coupon = (CouponIbor) pay;
timeForwardSet.add(coupon.getFixingPeriodStartTime());
timeForwardSet.add(coupon.getFixingPeriodEndTime());
}
final int nbForwardDate = timeForwardSet.size();
final List<Double> timeForwardList = new ArrayList<Double>(timeForwardSet);
Double[] timeForwardArray = new Double[nbForwardDate];
timeForwardArray = timeForwardList.toArray(timeForwardArray);
final double[] yieldsForward = new double[nbForwardDate + 1];
final double[] nodeTimesForward = new double[nbForwardDate + 1];
yieldsForward[0] = curveForward.getInterestRate(0.0);
for (int i = 0; i < nbForwardDate; i++) {
nodeTimesForward[i + 1] = timeForwardArray[i];
yieldsForward[i + 1] = curveForward.getInterestRate(nodeTimesForward[i + 1]);
}
final YieldAndDiscountCurve tempCurveForward =
new YieldCurve(
InterpolatedDoublesCurve.fromSorted(
nodeTimesForward, yieldsForward, new LinearInterpolator1D()));
final List<DoublesPair> tempForward =
pvsLongPayerExtra.getSensitivities().get(FORWARD_CURVE_NAME);
final double[] resFwd = new double[nbForwardDate];
for (int i = 0; i < nbForwardDate; i++) {
final YieldAndDiscountCurve bumpedCurveForward =
tempCurveForward.withSingleShift(nodeTimesForward[i + 1], deltaShift);
final YieldCurveBundle curvesBumpedForward = new YieldCurveBundle();
curvesBumpedForward.addAll(curves);
curvesBumpedForward.setCurve("Bumped Curve", bumpedCurveForward);
final SABRInterestRateDataBundle sabrBundleBumped =
new SABRInterestRateDataBundle(sabrParameter, curvesBumpedForward);
final double bumpedpv = methodExtra.presentValue(swaptionBumpedForward, sabrBundleBumped);
resFwd[i] = (bumpedpv - pv) / deltaShift;
final DoublesPair pair = tempForward.get(i);
assertEquals(
"Sensitivity to forward curve: Node " + i,
nodeTimesForward[i + 1],
pair.getFirst(),
1E-8);
assertEquals(
"Sensitivity to forward curve: Node " + i, resFwd[i], pair.getSecond(), deltaTolerance);
}
// 2. Funding curve sensitivity
final String[] bumpedCurvesFundingName = {bumpedCurveName, FORWARD_CURVE_NAME};
final SwaptionCashFixedIbor swaptionBumpedFunding =
swaptionDefinitionLongPayerHighStrike.toDerivative(REFERENCE_DATE, bumpedCurvesFundingName);
final int nbPayDate =
swaptionDefinitionLongPayerHighStrike.getUnderlyingSwap().getIborLeg().getPayments().length;
final YieldAndDiscountCurve curveFunding = curves.getCurve(FUNDING_CURVE_NAME);
final double[] yieldsFunding = new double[nbPayDate + 2];
final double[] nodeTimesFunding = new double[nbPayDate + 2];
yieldsFunding[0] = curveFunding.getInterestRate(0.0);
nodeTimesFunding[1] = swaptionLongPayerHighStrike.getSettlementTime();
yieldsFunding[1] = curveFunding.getInterestRate(nodeTimesFunding[1]);
for (int i = 0; i < nbPayDate; i++) {
nodeTimesFunding[i + 2] =
swaptionLongPayerHighStrike
.getUnderlyingSwap()
.getSecondLeg()
.getNthPayment(i)
.getPaymentTime();
yieldsFunding[i + 2] = curveFunding.getInterestRate(nodeTimesFunding[i + 2]);
}
final YieldAndDiscountCurve tempCurveFunding =
new YieldCurve(
InterpolatedDoublesCurve.fromSorted(
nodeTimesFunding, yieldsFunding, new LinearInterpolator1D()));
final List<DoublesPair> tempFunding =
pvsLongPayerExtra.getSensitivities().get(FUNDING_CURVE_NAME);
final double[] resDsc = new double[nbPayDate];
for (int i = 0; i < nbPayDate; i++) {
final YieldAndDiscountCurve bumpedCurve =
tempCurveFunding.withSingleShift(nodeTimesFunding[i + 1], deltaShift);
final YieldCurveBundle curvesBumped = new YieldCurveBundle();
curvesBumped.addAll(curves);
curvesBumped.setCurve("Bumped Curve", bumpedCurve);
final SABRInterestRateDataBundle sabrBundleBumped =
new SABRInterestRateDataBundle(sabrParameter, curvesBumped);
final double bumpedpv = methodExtra.presentValue(swaptionBumpedFunding, sabrBundleBumped);
resDsc[i] = (bumpedpv - pv) / deltaShift;
final DoublesPair pair = tempFunding.get(i);
assertEquals(
"Sensitivity to discounting curve: Node " + i,
nodeTimesFunding[i + 1],
pair.getFirst(),
1E-8);
assertEquals(
"Sensitivity to discounting curve: Node " + i,
resDsc[i],
pair.getSecond(),
deltaTolerance);
}
}