/**
* Builder of Ibor-like coupon from the fixing date and the index. The payment and accrual dates
* are the one of the fixing period.
*
* @param notional Coupon notional.
* @param fixingDate The coupon fixing date.
* @param index The coupon Ibor index.
* @param calendar The holiday calendar for the ibor index.
* @return The Ibor coupon.
*/
public static CouponIborDefinition from(
final double notional,
final ZonedDateTime fixingDate,
final IborIndex index,
final Calendar calendar) {
ArgumentChecker.notNull(fixingDate, "fixing date");
ArgumentChecker.notNull(index, "index");
final ZonedDateTime fixingPeriodStartDate =
ScheduleCalculator.getAdjustedDate(fixingDate, index.getSpotLag(), calendar);
final ZonedDateTime fixingPeriodEndDate =
ScheduleCalculator.getAdjustedDate(
fixingPeriodStartDate,
index.getTenor(),
index.getBusinessDayConvention(),
calendar,
index.isEndOfMonth());
final double fixingPeriodAccrualFactor =
index
.getDayCount()
.getDayCountFraction(fixingPeriodStartDate, fixingPeriodEndDate, calendar);
return new CouponIborDefinition(
index.getCurrency(),
fixingPeriodEndDate,
fixingPeriodStartDate,
fixingPeriodEndDate,
fixingPeriodAccrualFactor,
notional,
fixingDate,
index,
calendar);
}
@Test(enabled = false)
/** Analyzes the shape of the forward curve. */
public void forwardAnalysis() {
final MulticurveProviderInterface marketDsc =
CURVES_PAR_SPREAD_MQ_WITHOUT_TODAY_BLOCK.get(0).getFirst();
final int jump = 1;
final int startIndex = 0;
final int nbDate = 2750;
ZonedDateTime startDate =
ScheduleCalculator.getAdjustedDate(NOW, AUDBB3M.getSpotLag() + startIndex * jump, SYD);
final double[] rateDsc = new double[nbDate];
final double[] startTime = new double[nbDate];
try {
final FileWriter writer = new FileWriter("fwd-dsc.csv");
for (int loopdate = 0; loopdate < nbDate; loopdate++) {
startTime[loopdate] = TimeCalculator.getTimeBetween(NOW, startDate);
final ZonedDateTime endDate = ScheduleCalculator.getAdjustedDate(startDate, AUDBB3M, SYD);
final double endTime = TimeCalculator.getTimeBetween(NOW, endDate);
final double accrualFactor = AUDBB3M.getDayCount().getDayCountFraction(startDate, endDate);
rateDsc[loopdate] =
marketDsc.getForwardRate(AUDBB3M, startTime[loopdate], endTime, accrualFactor);
startDate = ScheduleCalculator.getAdjustedDate(startDate, jump, SYD);
writer.append(0.0 + "," + startTime[loopdate] + "," + rateDsc[loopdate] + "\n");
}
writer.flush();
writer.close();
} catch (final IOException e) {
e.printStackTrace();
}
}
@Override
protected void buildMessage(
final FudgeSerializer serializer, final MutableFudgeMsg message, final IborIndex object) {
message.add(SPOT_LAG_FIELD, object.getSpotLag());
message.add(DAY_COUNT_FIELD, object.getDayCount().getConventionName());
message.add(
BUSINESS_DAY_CONVENTION_FIELD, object.getBusinessDayConvention().getConventionName());
message.add(EOM_FIELD, object.isEndOfMonth());
message.add(TENOR_FIELD, object.getTenor().toString());
message.add(NAME_FIELD, object.getName());
message.add(CURRENCY_FIELD, object.getCurrency().getCode());
}
/**
* Builder of a coupon from the accrual dates and the index. The fixing dates are calculated using
* the index. The payment date is the end accrual date.
*
* @param accrualStartDate Start date of the accrual period.
* @param accrualEndDate End date of the accrual period.
* @param accrualFactor The accrual factor of the accrual period.
* @param notional The coupon notional.
* @param index The coupon Ibor index. Should of the same currency as the payment.
* @param calendar The holiday calendar for the ibor index.
* @return The coupon.
*/
public static CouponIborDefinition from(
final ZonedDateTime accrualStartDate,
final ZonedDateTime accrualEndDate,
final double accrualFactor,
final double notional,
final IborIndex index,
final Calendar calendar) {
final ZonedDateTime fixingDate =
ScheduleCalculator.getAdjustedDate(accrualStartDate, -index.getSpotLag(), calendar);
return new CouponIborDefinition(
index.getCurrency(),
accrualEndDate,
accrualStartDate,
accrualEndDate,
accrualFactor,
notional,
fixingDate,
index,
calendar);
}
@Test
/** Tests the present value for curves with seasonal adjustment. */
public void presentValueSeasonality() {
MarketBundle marketSeason = MarketDataSets.createMarket2(PRICING_DATE);
int tenorYear = 5;
double notional = 100000000;
ZonedDateTime settleDate =
ScheduleCalculator.getAdjustedDate(PRICING_DATE, USDLIBOR3M.getSpotLag(), CALENDAR_USD);
ZonedDateTime paymentDate =
ScheduleCalculator.getAdjustedDate(
settleDate,
Period.ofYears(tenorYear),
BUSINESS_DAY,
CALENDAR_USD,
USDLIBOR3M.isEndOfMonth());
double weightSettle =
1.0
- (settleDate.getDayOfMonth() - 1.0)
/ settleDate.getMonthOfYear().getLastDayOfMonth(settleDate.isLeapYear());
double indexStart = weightSettle * 225.964 + (1 - weightSettle) * 225.722;
CouponInflationZeroCouponInterpolationDefinition zeroCouponUsdDefinition =
CouponInflationZeroCouponInterpolationDefinition.from(
settleDate, paymentDate, notional, PRICE_INDEX_US, indexStart, MONTH_LAG, false);
CouponInflationZeroCouponInterpolation zeroCouponUsd =
zeroCouponUsdDefinition.toDerivative(PRICING_DATE, "not used");
CurrencyAmount pvInflation = METHOD.presentValue(zeroCouponUsd, marketSeason);
double df =
MARKET
.getCurve(zeroCouponUsd.getCurrency())
.getDiscountFactor(zeroCouponUsd.getPaymentTime());
double indexMonth0 =
marketSeason.getCurve(PRICE_INDEX_US).getPriceIndex(zeroCouponUsd.getReferenceEndTime()[0]);
double indexMonth1 =
marketSeason.getCurve(PRICE_INDEX_US).getPriceIndex(zeroCouponUsd.getReferenceEndTime()[1]);
double finalIndex =
zeroCouponUsdDefinition.getWeight() * indexMonth0
+ (1 - zeroCouponUsdDefinition.getWeight()) * indexMonth1;
double pvExpected = (finalIndex / indexStart - 1) * df * notional;
assertEquals(
"PV in market with seasonal adjustment", pvExpected, pvInflation.getAmount(), 1E-2);
}
/**
* Constructor of a Ibor-like floating coupon from the coupon details and the Ibor index. The
* payment currency is the index currency. The fixing dates and accrual factors are inferred from
* the index.
*
* @param currency The coupon currency.
* @param paymentDate The coupon payment date.
* @param accrualStartDate The start date of the accrual period.
* @param accrualEndDate The end date of the accrual period.
* @param paymentAccrualFactor The accrual factor of the accrual period.
* @param notional The coupon notional.
* @param fixingDate The coupon fixing date.
* @param index The coupon Ibor index. Should of the same currency as the payment.
* @param calendar The holiday calendar for the ibor index.
*/
public CouponIborDefinition(
final Currency currency,
final ZonedDateTime paymentDate,
final ZonedDateTime accrualStartDate,
final ZonedDateTime accrualEndDate,
final double paymentAccrualFactor,
final double notional,
final ZonedDateTime fixingDate,
final IborIndex index,
final Calendar calendar) {
super(
currency,
paymentDate,
accrualStartDate,
accrualEndDate,
paymentAccrualFactor,
notional,
fixingDate);
ArgumentChecker.notNull(index, "index");
ArgumentChecker.notNull(calendar, "calendar");
ArgumentChecker.isTrue(
currency.equals(index.getCurrency()), "index currency different from payment currency");
_index = index;
_fixingPeriodStartDate =
ScheduleCalculator.getAdjustedDate(fixingDate, _index.getSpotLag(), calendar);
_fixingPeriodEndDate =
ScheduleCalculator.getAdjustedDate(
_fixingPeriodStartDate,
index.getTenor(),
index.getBusinessDayConvention(),
calendar,
index.isEndOfMonth());
_fixingPeriodAccrualFactor =
index
.getDayCount()
.getDayCountFraction(_fixingPeriodStartDate, _fixingPeriodEndDate, calendar);
_calendar = calendar;
}
/**
* Tests for the methods related to interest rate securities pricing with Hull-White model convexity
* adjustment.
*/
@Test(groups = TestGroup.UNIT)
public class InterestRateFutureSecurityHullWhiteMethodTest {
private static final MulticurveProviderDiscount MULTICURVES =
MulticurveProviderDiscountDataSets.createMulticurveEurUsd();
private static final IborIndex[] INDEX_LIST =
MulticurveProviderDiscountDataSets.getIndexesIborMulticurveEurUsd();
private static final IborIndex EURIBOR3M = INDEX_LIST[0];
private static final Currency EUR = EURIBOR3M.getCurrency();
private static final Calendar CALENDAR = MulticurveProviderDiscountDataSets.getEURCalendar();
// Future
private static final ZonedDateTime SPOT_LAST_TRADING_DATE = DateUtils.getUTCDate(2012, 9, 19);
private static final ZonedDateTime LAST_TRADING_DATE =
ScheduleCalculator.getAdjustedDate(SPOT_LAST_TRADING_DATE, -EURIBOR3M.getSpotLag(), CALENDAR);
private static final double NOTIONAL = 1000000.0; // 1m
private static final double FUTURE_FACTOR = 0.25;
private static final String NAME = "ERU2";
private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2011, 5, 12);
private static final InterestRateFutureSecurityDefinition ERU2_DEFINITION =
new InterestRateFutureSecurityDefinition(
LAST_TRADING_DATE, EURIBOR3M, NOTIONAL, FUTURE_FACTOR, NAME, CALENDAR);
private static final InterestRateFutureSecurity ERU2 =
ERU2_DEFINITION.toDerivative(REFERENCE_DATE);
private static final double MEAN_REVERSION = 0.01;
private static final double[] VOLATILITY = new double[] {0.01, 0.011, 0.012, 0.013, 0.014};
private static final double[] VOLATILITY_TIME = new double[] {0.5, 1.0, 2.0, 5.0};
private static final HullWhiteOneFactorPiecewiseConstantParameters MODEL_PARAMETERS =
new HullWhiteOneFactorPiecewiseConstantParameters(
MEAN_REVERSION, VOLATILITY, VOLATILITY_TIME);
private static final HullWhiteOneFactorProviderDiscount HW_MULTICURVES =
new HullWhiteOneFactorProviderDiscount(MULTICURVES, MODEL_PARAMETERS, EUR);
private static final HullWhiteOneFactorPiecewiseConstantInterestRateModel MODEL =
new HullWhiteOneFactorPiecewiseConstantInterestRateModel();
private static final InterestRateFutureSecurityHullWhiteMethod METHOD_IRFUT_HW =
InterestRateFutureSecurityHullWhiteMethod.getInstance();
private static final MarketQuoteHullWhiteCalculator MQHWC =
MarketQuoteHullWhiteCalculator.getInstance();
private static final MarketQuoteCurveSensitivityHullWhiteCalculator MQCSHWC =
MarketQuoteCurveSensitivityHullWhiteCalculator.getInstance();
private static final ConvexityAdjustmentHullWhiteCalculator CAHWC =
ConvexityAdjustmentHullWhiteCalculator.getInstance();
private static final ParRateHullWhiteCalculator PRHWC = ParRateHullWhiteCalculator.getInstance();
private static final double SHIFT_FD = 1.0E-6;
private static final SimpleParameterSensitivityParameterCalculator<
HullWhiteOneFactorProviderInterface>
SPSHWC = new SimpleParameterSensitivityParameterCalculator<>(MQCSHWC);
private static final SimpleParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator
SPSHWC_FD =
new SimpleParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator(MQHWC, SHIFT_FD);
private static final double TOLERANCE_PRICE = 1.0E-10;
private static final double TOLERANCE_PRICE_DELTA = 1.0E-8;
@Test
/** Test the price computed from the curves and HW parameters. */
public void price() {
final double price = METHOD_IRFUT_HW.price(ERU2, HW_MULTICURVES);
final double forward =
MULTICURVES.getSimplyCompoundForwardRate(
EURIBOR3M,
ERU2.getFixingPeriodStartTime(),
ERU2.getFixingPeriodEndTime(),
ERU2.getFixingPeriodAccrualFactor());
final double factor =
MODEL.futuresConvexityFactor(
MODEL_PARAMETERS,
ERU2.getTradingLastTime(),
ERU2.getFixingPeriodStartTime(),
ERU2.getFixingPeriodEndTime());
final double expectedPrice =
1.0 - factor * forward + (1 - factor) / ERU2.getFixingPeriodAccrualFactor();
assertEquals(
"InterestRateFutureSecurityHullWhiteProviderMethod: price",
expectedPrice,
price,
TOLERANCE_PRICE);
}
@Test
/** Test the par rate computed from the curves and HW parameters. Par rate = 1-price. */
public void parRate() {
final double price = METHOD_IRFUT_HW.price(ERU2, HW_MULTICURVES);
final double parRateExpected = 1.0d - price;
final double parRateComputed = METHOD_IRFUT_HW.parRate(ERU2, HW_MULTICURVES);
assertEquals(
"InterestRateFutureSecurityHullWhiteProviderMethod: parRate",
parRateExpected,
parRateComputed,
TOLERANCE_PRICE);
}
@Test
/** Test the par rate computed from the method and the calculator. */
public void parRateMethodVsCalculator() {
final double parRateMethod = METHOD_IRFUT_HW.parRate(ERU2, HW_MULTICURVES);
final double parRateCalculator = ERU2.accept(PRHWC, HW_MULTICURVES);
assertEquals(
"InterestRateFutureSecurityHullWhiteProviderMethod: parRate",
parRateMethod,
parRateCalculator,
TOLERANCE_PRICE);
}
@Test
/** Test the price as "MarketQuote" */
public void marketQuote() {
final double priceMethod = METHOD_IRFUT_HW.price(ERU2, HW_MULTICURVES);
final double marketQuote = ERU2.accept(MQHWC, HW_MULTICURVES);
assertEquals(
"InterestRateFutureSecurityHullWhiteProviderMethod: price",
priceMethod,
marketQuote,
TOLERANCE_PRICE);
}
@Test
/** Test the convexity adjustment */
public void convexityAdjustment() {
final double price = METHOD_IRFUT_HW.price(ERU2, HW_MULTICURVES);
final double forward =
MULTICURVES.getSimplyCompoundForwardRate(
EURIBOR3M,
ERU2.getFixingPeriodStartTime(),
ERU2.getFixingPeriodEndTime(),
ERU2.getFixingPeriodAccrualFactor());
final double convexityAdjustment = METHOD_IRFUT_HW.convexityAdjustment(ERU2, HW_MULTICURVES);
assertEquals(
"InterestRateFutureSecurityHullWhiteProviderMethod: convexity adjustment",
price - (1.0d - forward),
convexityAdjustment,
TOLERANCE_PRICE);
final double caCalculator = ERU2.accept(CAHWC, HW_MULTICURVES);
assertEquals(
"DeliverableSwapFuturesSecurityDefinition: convexity adjustment",
caCalculator,
convexityAdjustment,
TOLERANCE_PRICE);
}
@Test
/** Test the price curve sensitivity versus a finite difference computation. */
public void priceCurveSensitivity() {
final SimpleParameterSensitivity pcsExact =
SPSHWC.calculateSensitivity(ERU2, HW_MULTICURVES, MULTICURVES.getAllNames());
final SimpleParameterSensitivity pcsFD = SPSHWC_FD.calculateSensitivity(ERU2, HW_MULTICURVES);
AssertSensitivityObjects.assertEquals(
"DeliverableSwapFuturesSecurityHullWhiteMethod: priceCurveSensitivity",
pcsExact,
pcsFD,
TOLERANCE_PRICE_DELTA);
}
}
/** Tests the interest rate future option with margin transaction description. */
@Test
public class InterestRateFutureOptionPremiumTransactionDefinitionTest {
private static final HolidayCalendar CALENDAR = HolidayCalendars.SAT_SUN;
private static final IborIndex IBOR_INDEX = IndexIborMaster.getInstance().getIndex("EURIBOR3M");
// Future option mid-curve 1Y
private static final ZonedDateTime SPOT_LAST_TRADING_DATE = DateUtils.getUTCDate(2012, 9, 19);
private static final ZonedDateTime LAST_TRADING_DATE =
ScheduleCalculator.getAdjustedDate(
SPOT_LAST_TRADING_DATE, -IBOR_INDEX.getSpotLag(), CALENDAR);
private static final double NOTIONAL = 1000000.0; // 1m
private static final double FUTURE_FACTOR = 0.25;
private static final String NAME = "ERU2";
private static final double STRIKE = 0.9895;
private static final InterestRateFutureSecurityDefinition ERU2 =
new InterestRateFutureSecurityDefinition(
LAST_TRADING_DATE, IBOR_INDEX, NOTIONAL, FUTURE_FACTOR, NAME, CALENDAR);
private static final ZonedDateTime EXPIRATION_DATE = DateUtils.getUTCDate(2011, 9, 16);
private static final boolean IS_CALL = true;
private static final InterestRateFutureOptionPremiumSecurityDefinition OPTION_EDU2 =
new InterestRateFutureOptionPremiumSecurityDefinition(ERU2, EXPIRATION_DATE, STRIKE, IS_CALL);
// Transaction
private static final int QUANTITY = -123;
private static final ZonedDateTime PREMIUM_DATE = DateUtils.getUTCDate(2011, 5, 12);
private static final double TRADE_PRICE = 0.0050;
private static final InterestRateFutureOptionPremiumTransactionDefinition OPTION_TRANSACTION =
new InterestRateFutureOptionPremiumTransactionDefinition(
OPTION_EDU2, QUANTITY, PREMIUM_DATE, TRADE_PRICE);
// Derivative
private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2010, 8, 18);
private static final String DISCOUNTING_CURVE_NAME = "Funding";
private static final String FORWARD_CURVE_NAME = "Forward";
private static final String[] CURVES = {DISCOUNTING_CURVE_NAME, FORWARD_CURVE_NAME};
@Test(expectedExceptions = IllegalArgumentException.class)
public void testNullUnderlying() {
new InterestRateFutureOptionPremiumTransactionDefinition(
null, QUANTITY, PREMIUM_DATE, TRADE_PRICE);
}
@Test(expectedExceptions = IllegalArgumentException.class)
public void testNullTradeDate() {
new InterestRateFutureOptionPremiumTransactionDefinition(
OPTION_EDU2, QUANTITY, null, TRADE_PRICE);
}
@Test
/** Tests the class getters. */
public void getter() {
assertEquals(OPTION_EDU2, OPTION_TRANSACTION.getUnderlyingOption());
assertEquals(QUANTITY, OPTION_TRANSACTION.getQuantity());
assertEquals(PREMIUM_DATE, OPTION_TRANSACTION.getPremium().getPaymentDate());
assertEquals(TRADE_PRICE, OPTION_TRANSACTION.getTradePrice());
}
@Test
/** Tests the equal and hashCode methods. */
public void equalHash() {
final InterestRateFutureOptionPremiumTransactionDefinition other =
new InterestRateFutureOptionPremiumTransactionDefinition(
OPTION_EDU2, QUANTITY, PREMIUM_DATE, TRADE_PRICE);
assertTrue(OPTION_TRANSACTION.equals(other));
assertTrue(OPTION_TRANSACTION.hashCode() == other.hashCode());
InterestRateFutureOptionPremiumTransactionDefinition modifidOption;
modifidOption =
new InterestRateFutureOptionPremiumTransactionDefinition(
OPTION_EDU2, QUANTITY + 1, PREMIUM_DATE, TRADE_PRICE);
assertFalse(OPTION_TRANSACTION.equals(modifidOption));
modifidOption =
new InterestRateFutureOptionPremiumTransactionDefinition(
OPTION_EDU2, QUANTITY, LAST_TRADING_DATE, TRADE_PRICE);
assertFalse(OPTION_TRANSACTION.equals(modifidOption));
modifidOption =
new InterestRateFutureOptionPremiumTransactionDefinition(
OPTION_EDU2, QUANTITY, PREMIUM_DATE, TRADE_PRICE - 0.00001);
assertFalse(OPTION_TRANSACTION.equals(modifidOption));
}
@Test
/** Tests the toDerivative method when the reference date is before the premium settlement. */
public void toDerivativeBeforeSettlement() {
final InterestRateFutureOptionPremiumTransaction transactionConverted =
OPTION_TRANSACTION.toDerivative(REFERENCE_DATE);
final InterestRateFutureOptionPremiumSecurity security =
OPTION_EDU2.toDerivative(REFERENCE_DATE);
final double premiumTime = TimeCalculator.getTimeBetween(REFERENCE_DATE, PREMIUM_DATE);
final InterestRateFutureOptionPremiumTransaction transaction =
new InterestRateFutureOptionPremiumTransaction(
security, QUANTITY, premiumTime, TRADE_PRICE);
assertEquals("Option on future: to derivative", transaction, transactionConverted);
}
@Test
/** Tests the toDerivative method when the reference date is on the premium settlement. */
public void toDerivativeOnSettlement() {
final ZonedDateTime referenceDate = PREMIUM_DATE;
final InterestRateFutureOptionPremiumTransaction transactionConverted =
OPTION_TRANSACTION.toDerivative(referenceDate);
final InterestRateFutureOptionPremiumSecurity security =
OPTION_EDU2.toDerivative(referenceDate);
final double premiumTime = 0.0;
final InterestRateFutureOptionPremiumTransaction transaction =
new InterestRateFutureOptionPremiumTransaction(
security, QUANTITY, premiumTime, TRADE_PRICE);
assertEquals("Option on future: to derivative", transaction, transactionConverted);
}
@Test
/** Tests the toDerivative method when the reference date is after the premium settlement. */
public void toDerivativeAfterSettlement() {
final ZonedDateTime referenceDate = PREMIUM_DATE.plusDays(1);
final InterestRateFutureOptionPremiumTransaction transactionConverted =
OPTION_TRANSACTION.toDerivative(referenceDate);
final InterestRateFutureOptionPremiumSecurity security =
OPTION_EDU2.toDerivative(referenceDate);
final double premiumTime = 0.0;
final double price = 0.0; // The payment is in the past and is represented by a 0 payment today.
final InterestRateFutureOptionPremiumTransaction transaction =
new InterestRateFutureOptionPremiumTransaction(security, QUANTITY, premiumTime, price);
assertEquals("Option on future: to derivative", transaction, transactionConverted);
}
}
/** Tests related to the pricing of physical delivery swaption in Hull-White one factor model. */
public class SwaptionPhysicalFixedIborHullWhiteMethodTest {
private static final MulticurveProviderDiscount MULTICURVES =
MulticurveProviderDiscountDataSets.createMulticurveEurUsd();
private static final IborIndex EURIBOR6M =
MulticurveProviderDiscountDataSets.getIndexesIborMulticurveEurUsd()[1];
private static final Currency EUR = EURIBOR6M.getCurrency();
private static final Calendar CALENDAR = MulticurveProviderDiscountDataSets.getEURCalendar();
private static final HullWhiteOneFactorPiecewiseConstantParameters HW_PARAMETERS =
HullWhiteDataSets.createHullWhiteParameters();
private static final HullWhiteOneFactorProviderDiscount HW_MULTICURVES =
new HullWhiteOneFactorProviderDiscount(MULTICURVES, HW_PARAMETERS, EUR);
private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2011, 7, 7);
// Swaption 5Yx5Y
private static final int SPOT_LAG = EURIBOR6M.getSpotLag();
private static final int SWAP_TENOR_YEAR = 5;
private static final Period SWAP_TENOR = Period.ofYears(SWAP_TENOR_YEAR);
private static final GeneratorSwapFixedIbor EUR1YEURIBOR6M =
GeneratorSwapFixedIborMaster.getInstance().getGenerator("EUR1YEURIBOR6M", CALENDAR);
private static final ZonedDateTime EXPIRY_DATE = DateUtils.getUTCDate(2016, 7, 7);
private static final boolean IS_LONG = true;
private static final ZonedDateTime SETTLEMENT_DATE =
ScheduleCalculator.getAdjustedDate(EXPIRY_DATE, SPOT_LAG, CALENDAR);
private static final double NOTIONAL = 100000000; // 100m
private static final double RATE = 0.0175;
private static final boolean FIXED_IS_PAYER = true;
private static final SwapFixedIborDefinition SWAP_PAYER_DEFINITION =
SwapFixedIborDefinition.from(
SETTLEMENT_DATE, SWAP_TENOR, EUR1YEURIBOR6M, NOTIONAL, RATE, FIXED_IS_PAYER);
private static final SwapFixedIborDefinition SWAP_RECEIVER_DEFINITION =
SwapFixedIborDefinition.from(
SETTLEMENT_DATE, SWAP_TENOR, EUR1YEURIBOR6M, NOTIONAL, RATE, !FIXED_IS_PAYER);
private static final SwaptionPhysicalFixedIborDefinition SWAPTION_LONG_PAYER_DEFINITION =
SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, SWAP_PAYER_DEFINITION, IS_LONG);
private static final SwaptionPhysicalFixedIborDefinition SWAPTION_LONG_RECEIVER_DEFINITION =
SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, SWAP_RECEIVER_DEFINITION, IS_LONG);
private static final SwaptionPhysicalFixedIborDefinition SWAPTION_SHORT_PAYER_DEFINITION =
SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, SWAP_PAYER_DEFINITION, !IS_LONG);
private static final SwaptionPhysicalFixedIborDefinition SWAPTION_SHORT_RECEIVER_DEFINITION =
SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, SWAP_RECEIVER_DEFINITION, !IS_LONG);
private static final SwapFixedCoupon<Coupon> SWAP_RECEIVER =
SWAP_RECEIVER_DEFINITION.toDerivative(REFERENCE_DATE);
private static final SwaptionPhysicalFixedIbor SWAPTION_LONG_PAYER =
SWAPTION_LONG_PAYER_DEFINITION.toDerivative(REFERENCE_DATE);
private static final SwaptionPhysicalFixedIbor SWAPTION_LONG_RECEIVER =
SWAPTION_LONG_RECEIVER_DEFINITION.toDerivative(REFERENCE_DATE);
private static final SwaptionPhysicalFixedIbor SWAPTION_SHORT_PAYER =
SWAPTION_SHORT_PAYER_DEFINITION.toDerivative(REFERENCE_DATE);
private static final SwaptionPhysicalFixedIbor SWAPTION_SHORT_RECEIVER =
SWAPTION_SHORT_RECEIVER_DEFINITION.toDerivative(REFERENCE_DATE);
// Calculator
private static final SwaptionPhysicalFixedIborHullWhiteMethod METHOD_HW =
SwaptionPhysicalFixedIborHullWhiteMethod.getInstance();
private static final SwapFixedCouponDiscountingMethod METHOD_SWAP =
SwapFixedCouponDiscountingMethod.getInstance();
private static final CashFlowEquivalentCalculator CFEC =
CashFlowEquivalentCalculator.getInstance();
private static final ParRateDiscountingCalculator PRDC =
ParRateDiscountingCalculator.getInstance();
private static final PresentValueDiscountingCalculator PVDC =
PresentValueDiscountingCalculator.getInstance();
private static final PresentValueCurveSensitivityDiscountingCalculator PVCSDC =
PresentValueCurveSensitivityDiscountingCalculator.getInstance();
private static final PresentValueHullWhiteCalculator PVHWC =
PresentValueHullWhiteCalculator.getInstance();
private static final PresentValueCurveSensitivityHullWhiteCalculator PVCSHWC =
PresentValueCurveSensitivityHullWhiteCalculator.getInstance();
private static final double SHIFT = 1.0E-6;
private static final ParameterSensitivityParameterCalculator<HullWhiteOneFactorProviderInterface>
PS_HW_C = new ParameterSensitivityParameterCalculator<>(PVCSHWC);
private static final ParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator PS_HW_FDC =
new ParameterSensitivityHullWhiteDiscountInterpolatedFDCalculator(PVHWC, SHIFT);
private static final SwaptionPhysicalFixedIborHullWhiteNumericalIntegrationMethod
METHOD_HW_INTEGRATION =
SwaptionPhysicalFixedIborHullWhiteNumericalIntegrationMethod.getInstance();
private static final SwaptionPhysicalFixedIborHullWhiteApproximationMethod
METHOD_HW_APPROXIMATION = SwaptionPhysicalFixedIborHullWhiteApproximationMethod.getInstance();
private static final int NB_PATH = 12500;
private static final HullWhiteMonteCarloMethod METHOD_HW_MONTECARLO =
new HullWhiteMonteCarloMethod(new NormalRandomNumberGenerator(0.0, 1.0), NB_PATH);
private static final HullWhiteOneFactorPiecewiseConstantInterestRateModel MODEL =
new HullWhiteOneFactorPiecewiseConstantInterestRateModel();
private static final ProbabilityDistribution<Double> NORMAL = new NormalDistribution(0, 1);
private static final double TOLERANCE_PV = 1.0E-2;
private static final double TOLERANCE_PV_DELTA =
1.0E+0; // Testing note: Sensitivity is for a movement of 1. 1E+2 = 1 cent for a 1 bp move.
@Test
/** Test the present value. */
public void presentValueExplicit() {
final MultipleCurrencyAmount pv = METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final double timeToExpiry = SWAPTION_LONG_PAYER.getTimeToExpiry();
final AnnuityPaymentFixed cfe =
CFEC.visitSwap(SWAPTION_LONG_PAYER.getUnderlyingSwap(), MULTICURVES);
final int numberOfPayments = cfe.getNumberOfPayments();
final double alpha[] = new double[numberOfPayments];
final double disccf[] = new double[numberOfPayments];
for (int loopcf = 0; loopcf < numberOfPayments; loopcf++) {
alpha[loopcf] =
MODEL.alpha(
HW_PARAMETERS,
0.0,
timeToExpiry,
timeToExpiry,
cfe.getNthPayment(loopcf).getPaymentTime());
disccf[loopcf] =
MULTICURVES.getDiscountFactor(EUR, cfe.getNthPayment(loopcf).getPaymentTime())
* cfe.getNthPayment(loopcf).getAmount();
}
final double kappa = MODEL.kappa(disccf, alpha);
double pvExpected = 0.0;
for (int loopcf = 0; loopcf < numberOfPayments; loopcf++) {
pvExpected += disccf[loopcf] * NORMAL.getCDF(-kappa - alpha[loopcf]);
}
assertEquals(
"Swaption physical - Hull-White - present value", pvExpected, pv.getAmount(EUR), 1E-2);
final MultipleCurrencyAmount pv2 =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, cfe, HW_MULTICURVES);
assertEquals("Swaption physical - Hull-White - present value", pv, pv2);
}
@Test
/** Tests long/short parity. */
public void longShortParityExplicit() {
final MultipleCurrencyAmount pvLong =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvShort =
METHOD_HW.presentValue(SWAPTION_SHORT_PAYER, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - long/short parity",
pvLong.getAmount(EUR),
-pvShort.getAmount(EUR),
TOLERANCE_PV);
}
@Test
/** Tests payer/receiver/swap parity. */
public void payerReceiverParityExplicit() {
final MultipleCurrencyAmount pvReceiverLong =
METHOD_HW.presentValue(SWAPTION_LONG_RECEIVER, HW_MULTICURVES);
final MultipleCurrencyAmount pvPayerShort =
METHOD_HW.presentValue(SWAPTION_SHORT_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvSwap = SWAP_RECEIVER.accept(PVDC, MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - payer/receiver/swap parity",
pvReceiverLong.getAmount(EUR) + pvPayerShort.getAmount(EUR),
pvSwap.getAmount(EUR),
TOLERANCE_PV);
}
@Test
/** Tests the method against the present value calculator. */
public void presentValueMethodVsCalculator() {
final MultipleCurrencyAmount pvMethod =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvCalculator = SWAPTION_LONG_PAYER.accept(PVHWC, HW_MULTICURVES);
assertEquals(
"SwaptionPhysicalFixedIborSABRMethod: present value : method and calculator",
pvMethod,
pvCalculator);
}
@Test
/** Compare explicit formula with numerical integration. */
public void presentValueNumericalIntegration() {
final MultipleCurrencyAmount pvPayerLongExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvPayerLongIntegration =
METHOD_HW_INTEGRATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - explicit/numerical integration",
pvPayerLongExplicit.getAmount(EUR),
pvPayerLongIntegration.getAmount(EUR),
TOLERANCE_PV);
final MultipleCurrencyAmount pvPayerShortExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvPayerShortIntegration =
METHOD_HW_INTEGRATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - explicit/numerical integration",
pvPayerShortExplicit.getAmount(EUR),
pvPayerShortIntegration.getAmount(EUR),
TOLERANCE_PV);
final MultipleCurrencyAmount pvReceiverLongExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvReceiverLongIntegration =
METHOD_HW_INTEGRATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - explicit/numerical integration",
pvReceiverLongExplicit.getAmount(EUR),
pvReceiverLongIntegration.getAmount(EUR),
TOLERANCE_PV);
final MultipleCurrencyAmount pvReceiverShortExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvReceiverShortIntegration =
METHOD_HW_INTEGRATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - explicit/numerical integration",
pvReceiverShortExplicit.getAmount(EUR),
pvReceiverShortIntegration.getAmount(EUR),
TOLERANCE_PV);
}
@Test
/** Compare explicit formula with approximated formula. */
public void presentValueApproximation() {
final BlackImpliedVolatilityFormula implied = new BlackImpliedVolatilityFormula();
final double forward =
SWAPTION_LONG_PAYER
.getUnderlyingSwap()
.accept(ParRateDiscountingCalculator.getInstance(), MULTICURVES);
final double pvbp =
METHOD_SWAP.presentValueBasisPoint(SWAPTION_LONG_PAYER.getUnderlyingSwap(), MULTICURVES);
final MultipleCurrencyAmount pvPayerLongExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvPayerLongApproximation =
METHOD_HW_APPROXIMATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final BlackFunctionData data = new BlackFunctionData(forward, pvbp, 0.20);
final double volExplicit =
implied.getImpliedVolatility(data, SWAPTION_LONG_PAYER, pvPayerLongExplicit.getAmount(EUR));
final double volApprox =
implied.getImpliedVolatility(
data, SWAPTION_LONG_PAYER, pvPayerLongApproximation.getAmount(EUR));
assertEquals(
"Swaption physical - Hull-White - present value - explicit/approximation",
pvPayerLongExplicit.getAmount(EUR),
pvPayerLongApproximation.getAmount(EUR),
5.0E+2);
assertEquals(
"Swaption physical - Hull-White - present value - explicit/approximation",
volExplicit,
volApprox,
2.5E-4); // 0.025%
final MultipleCurrencyAmount pvReceiverLongExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvReceiverLongApproximation =
METHOD_HW_APPROXIMATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - present value - explicit/numerical integration",
pvReceiverLongExplicit.getAmount(EUR),
pvReceiverLongApproximation.getAmount(EUR),
5.0E+2);
}
@Test
/** Approximation analysis. */
public void presentValueApproximationAnalysis() {
final NormalImpliedVolatilityFormula implied = new NormalImpliedVolatilityFormula();
final int nbStrike = 20;
final double[] pvExplicit = new double[nbStrike + 1];
final double[] pvApproximation = new double[nbStrike + 1];
final double[] strike = new double[nbStrike + 1];
final double[] volExplicit = new double[nbStrike + 1];
final double[] volApprox = new double[nbStrike + 1];
final double strikeRange = 0.010;
final SwapFixedCoupon<Coupon> swap = SWAP_PAYER_DEFINITION.toDerivative(REFERENCE_DATE);
final double forward = swap.accept(PRDC, MULTICURVES);
final double pvbp = METHOD_SWAP.presentValueBasisPoint(swap, MULTICURVES);
for (int loopstrike = 0; loopstrike <= nbStrike; loopstrike++) {
strike[loopstrike] =
forward
- strikeRange
+ 3
* strikeRange
* loopstrike
/ nbStrike; // From forward-strikeRange to forward+2*strikeRange
final SwapFixedIborDefinition swapDefinition =
SwapFixedIborDefinition.from(
SETTLEMENT_DATE,
SWAP_TENOR,
EUR1YEURIBOR6M,
NOTIONAL,
strike[loopstrike],
FIXED_IS_PAYER);
final SwaptionPhysicalFixedIborDefinition swaptionDefinition =
SwaptionPhysicalFixedIborDefinition.from(EXPIRY_DATE, swapDefinition, IS_LONG);
final SwaptionPhysicalFixedIbor swaption = swaptionDefinition.toDerivative(REFERENCE_DATE);
pvExplicit[loopstrike] = METHOD_HW.presentValue(swaption, HW_MULTICURVES).getAmount(EUR);
pvApproximation[loopstrike] =
METHOD_HW_APPROXIMATION.presentValue(swaption, HW_MULTICURVES).getAmount(EUR);
final NormalFunctionData data = new NormalFunctionData(forward, pvbp, 0.01);
volExplicit[loopstrike] =
implied.getImpliedVolatility(data, swaption, pvExplicit[loopstrike]);
volApprox[loopstrike] =
implied.getImpliedVolatility(data, swaption, pvApproximation[loopstrike]);
assertEquals(
"Swaption physical - Hull-White - implied volatility - explicit/approximation",
volExplicit[loopstrike],
volApprox[loopstrike],
1.0E-3); // 0.10%
}
}
@Test(enabled = true)
/** Compare explicit formula with Monte-Carlo and long/short and payer/receiver parities. */
public void presentValueMonteCarlo() {
HullWhiteMonteCarloMethod methodMC;
methodMC =
new HullWhiteMonteCarloMethod(
new NormalRandomNumberGenerator(0.0, 1.0, new MersenneTwister()), NB_PATH);
// Seed fixed to the DEFAULT_SEED for testing purposes.
final MultipleCurrencyAmount pvPayerLongExplicit =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyAmount pvPayerLongMC =
methodMC.presentValue(SWAPTION_LONG_PAYER, EUR, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - Monte Carlo",
pvPayerLongExplicit.getAmount(EUR),
pvPayerLongMC.getAmount(EUR),
1.0E+4);
final double pvMCPreviousRun = 4221400.891;
assertEquals(
"Swaption physical - Hull-White - Monte Carlo",
pvMCPreviousRun,
pvPayerLongMC.getAmount(EUR),
TOLERANCE_PV);
methodMC =
new HullWhiteMonteCarloMethod(
new NormalRandomNumberGenerator(0.0, 1.0, new MersenneTwister()), NB_PATH);
final MultipleCurrencyAmount pvPayerShortMC =
methodMC.presentValue(SWAPTION_SHORT_PAYER, EUR, HW_MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - Monte Carlo",
-pvPayerLongMC.getAmount(EUR),
pvPayerShortMC.getAmount(EUR),
TOLERANCE_PV);
final MultipleCurrencyAmount pvReceiverLongMC =
methodMC.presentValue(SWAPTION_LONG_RECEIVER, EUR, HW_MULTICURVES);
final MultipleCurrencyAmount pvSwap = SWAP_RECEIVER.accept(PVDC, MULTICURVES);
assertEquals(
"Swaption physical - Hull-White - Monte Carlo - payer/receiver/swap parity",
pvReceiverLongMC.getAmount(EUR) + pvPayerShortMC.getAmount(EUR),
pvSwap.getAmount(EUR),
1.0E+5);
}
@Test
/** Tests the Hull-White parameters sensitivity for the explicit formula. */
public void presentValueHullWhiteSensitivityExplicit() {
final double[] hwSensitivity =
METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final int nbVolatility = HW_PARAMETERS.getVolatility().length;
final double shiftVol = 1.0E-6;
final double[] volatilityBumped = new double[nbVolatility];
System.arraycopy(HW_PARAMETERS.getVolatility(), 0, volatilityBumped, 0, nbVolatility);
final double[] volatilityTime = new double[nbVolatility - 1];
System.arraycopy(HW_PARAMETERS.getVolatilityTime(), 1, volatilityTime, 0, nbVolatility - 1);
final double[] pvBumpedPlus = new double[nbVolatility];
final double[] pvBumpedMinus = new double[nbVolatility];
final HullWhiteOneFactorPiecewiseConstantParameters parametersBumped =
new HullWhiteOneFactorPiecewiseConstantParameters(
HW_PARAMETERS.getMeanReversion(), volatilityBumped, volatilityTime);
final HullWhiteOneFactorProviderDiscount bundleBumped =
new HullWhiteOneFactorProviderDiscount(MULTICURVES, parametersBumped, EUR);
for (int loopvol = 0; loopvol < nbVolatility; loopvol++) {
volatilityBumped[loopvol] += shiftVol;
parametersBumped.setVolatility(volatilityBumped);
pvBumpedPlus[loopvol] =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, bundleBumped).getAmount(EUR);
volatilityBumped[loopvol] -= 2 * shiftVol;
parametersBumped.setVolatility(volatilityBumped);
pvBumpedMinus[loopvol] =
METHOD_HW.presentValue(SWAPTION_LONG_PAYER, bundleBumped).getAmount(EUR);
assertEquals(
"Swaption - Hull-White sensitivity adjoint: derivative "
+ loopvol
+ " - difference:"
+ ((pvBumpedPlus[loopvol] - pvBumpedMinus[loopvol]) / (2 * shiftVol)
- hwSensitivity[loopvol]),
(pvBumpedPlus[loopvol] - pvBumpedMinus[loopvol]) / (2 * shiftVol),
hwSensitivity[loopvol],
TOLERANCE_PV_DELTA);
volatilityBumped[loopvol] = HW_PARAMETERS.getVolatility()[loopvol];
}
}
@Test
/** Tests long/short parity. */
public void presentValueHullWhiteSensitivitylongShortParityExplicit() {
final double[] pvhwsLong =
METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final double[] pvhwsShort =
METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_SHORT_PAYER, HW_MULTICURVES);
for (int loophw = 0; loophw < pvhwsLong.length; loophw++) {
assertEquals(
"Swaption physical - Hull-White - presentValueHullWhiteSensitivity - long/short parity",
pvhwsLong[loophw],
-pvhwsShort[loophw],
TOLERANCE_PV_DELTA);
}
}
@Test
/** Tests payer/receiver/swap parity. */
public void presentValueHullWhiteSensitivitypayerReceiverParityExplicit() {
final double[] pvhwsReceiverLong =
METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_RECEIVER, HW_MULTICURVES);
final double[] pvhwsPayerShort =
METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_SHORT_PAYER, HW_MULTICURVES);
for (int loophw = 0; loophw < pvhwsReceiverLong.length; loophw++) {
assertEquals(
"Swaption physical - Hull-White - present value - payer/receiver/swap parity",
0,
pvhwsReceiverLong[loophw] + pvhwsPayerShort[loophw],
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(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++;
}
@Test
/** Tests long/short parity. */
public void presentValueCurveSensitivityLongShortParityExplicit() {
final MultipleCurrencyMulticurveSensitivity pvhwsLong =
METHOD_HW.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
final MultipleCurrencyMulticurveSensitivity pvhwsShort =
METHOD_HW.presentValueCurveSensitivity(SWAPTION_SHORT_PAYER, HW_MULTICURVES);
AssertSensivityObjects.assertEquals(
"Swaption physical - Hull-White - presentValueCurveSensitivity - long/short parity",
pvhwsLong,
pvhwsShort.multipliedBy(-1.0),
TOLERANCE_PV_DELTA);
}
@Test
/** Tests payer/receiver/swap parity. */
public void presentValueCurveSensitivityPayerReceiverParityExplicit() {
final MultipleCurrencyMulticurveSensitivity pvhwsReceiverLong =
METHOD_HW.presentValueCurveSensitivity(SWAPTION_LONG_RECEIVER, HW_MULTICURVES);
final MultipleCurrencyMulticurveSensitivity pvhwsPayerShort =
METHOD_HW.presentValueCurveSensitivity(SWAPTION_SHORT_PAYER, HW_MULTICURVES);
final MultipleCurrencyMulticurveSensitivity pvSwap = SWAP_RECEIVER.accept(PVCSDC, MULTICURVES);
AssertSensivityObjects.assertEquals(
"Swaption physical - Hull-White - presentValueCurveSensitivity - payer/receiver/swap parity",
pvSwap.cleaned(TOLERANCE_PV_DELTA),
pvhwsReceiverLong.plus(pvhwsPayerShort).cleaned(TOLERANCE_PV_DELTA),
TOLERANCE_PV_DELTA);
}
@Test
/** Tests the curve sensitivity in Monte Carlo approach. */
public void presentValueCurveSensitivityMonteCarlo() {
final double toleranceDelta = 1.0E+6; // 100 USD by bp
final MultipleCurrencyMulticurveSensitivity pvcsExplicit =
METHOD_HW
.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES)
.cleaned(TOLERANCE_PV_DELTA);
final HullWhiteMonteCarloMethod methodMC =
new HullWhiteMonteCarloMethod(
new NormalRandomNumberGenerator(0.0, 1.0, new MersenneTwister()), NB_PATH);
final MultipleCurrencyMulticurveSensitivity pvcsMC =
methodMC
.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, EUR, HW_MULTICURVES)
.cleaned(TOLERANCE_PV_DELTA);
AssertSensivityObjects.assertEquals(
"Swaption physical - Hull-White - presentValueCurveSensitivity - payer/receiver/swap parity",
pvcsExplicit,
pvcsMC,
toleranceDelta);
}
@Test(enabled = false)
/** Tests of performance. "enabled = false" for the standard testing. */
public void performance() {
long startTime, endTime;
final int nbTest = 1000;
MultipleCurrencyAmount pvPayerLongExplicit = MultipleCurrencyAmount.of(EUR, 0.0);
MultipleCurrencyAmount pvPayerLongIntegration = MultipleCurrencyAmount.of(EUR, 0.0);
MultipleCurrencyAmount pvPayerLongApproximation = MultipleCurrencyAmount.of(EUR, 0.0);
@SuppressWarnings("unused")
MultipleCurrencyAmount pvPayerLongMC = MultipleCurrencyAmount.of(EUR, 0.0);
double[] pvhws =
METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
MultipleCurrencyMulticurveSensitivity pvcs =
METHOD_HW.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvPayerLongExplicit = METHOD_HW.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest + " pv swaption Hull-White explicit method: " + (endTime - startTime) + " ms");
// Performance note: HW price: 19-Nov-2012: On Mac Pro 3.2 GHz Quad-Core Intel Xeon: 380 ms for
// 10000 swaptions.
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvhws = METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " HW sensitivity swaption Hull-White explicit method: "
+ (endTime - startTime)
+ " ms");
// Performance note: HW sensitivity (3): 19-Nov-2012: On Mac Pro 3.2 GHz Quad-Core Intel Xeon:
// 430 ms for 10000 swaptions.
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvcs = METHOD_HW.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " curve sensitivity swaption Hull-White explicit method: "
+ (endTime - startTime)
+ " ms");
// Performance note: curve sensitivity (40): 19-Nov-2012: On Mac Pro 3.2 GHz Quad-Core Intel
// Xeon: 855 ms for 10000 swaptions.
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvhws = METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
pvcs = METHOD_HW.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
pvhws = METHOD_HW.presentValueHullWhiteSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " price/delta/vega swaption Hull-White explicit method: "
+ (endTime - startTime)
+ " ms");
// Performance note: present value/delta/vega: 19-Nov-2012: On Mac Pro 3.2 GHz Quad-Core Intel
// Xeon: 1730 ms for 10000 swaptions.
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvPayerLongIntegration =
METHOD_HW_INTEGRATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " swaption Hull-White numerical integration method: "
+ (endTime - startTime)
+ " ms");
// Performance note: HW numerical integration: 19-Nov-2012: On Mac Pro 3.2 GHz Quad-Core Intel
// Xeon: 1700 ms for 10000 swaptions.
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvPayerLongApproximation =
METHOD_HW_APPROXIMATION.presentValue(SWAPTION_LONG_PAYER, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest + " swaption Hull-White approximation method: " + (endTime - startTime) + " ms");
// Performance note: HW approximation: 19-Nov-2012: On Mac Pro 3.2 GHz Quad-Core Intel Xeon: 250
// ms for 10000 swaptions.
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvPayerLongMC = METHOD_HW_MONTECARLO.presentValue(SWAPTION_LONG_PAYER, EUR, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " swaption Hull-White Monte Carlo method ("
+ NB_PATH
+ " paths): "
+ (endTime - startTime)
+ " ms");
// Performance note: HW approximation: 18-Aug-11: On Mac Pro 3.2 GHz Quad-Core Intel Xeon: 9200
// ms for 1000 swaptions (12500 paths).
final double difference =
pvPayerLongExplicit.getAmount(EUR) - pvPayerLongIntegration.getAmount(EUR);
final double difference2 =
pvPayerLongExplicit.getAmount(EUR) - pvPayerLongApproximation.getAmount(EUR);
// double difference3 = pvPayerLongExplicit.getAmount(CUR) - pvPayerLongMC.getAmount(CUR);
System.out.println("Difference explicit-integration: " + difference);
System.out.println("Difference explicit-approximation: " + difference2);
// System.out.println("Difference explicit-Monte Carlo: " + difference3);
System.out.println("Curve sensitivity: " + pvcs.toString());
System.out.println("HW sensitivity: " + Arrays.toString(pvhws));
}
@Test(enabled = false)
/** Tests of performance. "enabled = false" for the standard testing. */
public void performanceCurveSensitivity() {
long startTime, endTime;
final int nbTest = 25;
MultipleCurrencyAmount pvMC = MultipleCurrencyAmount.of(EUR, 0.0);
final MultipleCurrencyMulticurveSensitivity pvcsExplicit =
METHOD_HW.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, HW_MULTICURVES);
MultipleCurrencyMulticurveSensitivity pvcsMC = pvcsExplicit;
final HullWhiteMonteCarloMethod methodMC =
new HullWhiteMonteCarloMethod(
new NormalRandomNumberGenerator(0.0, 1.0, new MersenneTwister()), NB_PATH);
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvMC = METHOD_HW_MONTECARLO.presentValue(SWAPTION_LONG_PAYER, EUR, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " swaption Hull-White Monte Carlo method ("
+ NB_PATH
+ " paths): "
+ (endTime - startTime)
+ " ms / price:"
+ pvMC.toString());
// Performance note: HW approximation: 03-Dec-2012: On Mac Pro 3.2 GHz Quad-Core Intel Xeon: 250
// ms for 25 swaptions (12500 paths).
startTime = System.currentTimeMillis();
for (int looptest = 0; looptest < nbTest; looptest++) {
pvcsMC = methodMC.presentValueCurveSensitivity(SWAPTION_LONG_PAYER, EUR, HW_MULTICURVES);
}
endTime = System.currentTimeMillis();
System.out.println(
nbTest
+ " curve sensitivity swaption Hull-White MC method: ("
+ NB_PATH
+ " paths) "
+ (endTime - startTime)
+ " ms / risk:"
+ pvcsMC.toString());
// Performance note: curve sensitivity (40): 03-Dec-2012: On Mac Pro 3.2 GHz Quad-Core Intel
// Xeon: 600 ms for 25 swaptions (12500 paths).
}
}
/**
* Test class for the replication method for CMS caplet/floorlet using a SABR smile with
* extrapolation.
*/
@Test
public class CapFloorCMSSABRExtrapolationRightReplicationMethodTest {
private static final MulticurveProviderDiscount MULTICURVES =
MulticurveProviderDiscountDataSets.createMulticurveEurUsd();
private static final IborIndex EURIBOR6M =
MulticurveProviderDiscountDataSets.getIndexesIborMulticurveEurUsd()[1];
private static final Currency EUR = EURIBOR6M.getCurrency();
private static final HolidayCalendar CALENDAR =
MulticurveProviderDiscountDataSets.getEURCalendar();
private static final SABRInterestRateParameters SABR_PARAMETER = SABRDataSets.createSABR1();
private static final GeneratorSwapFixedIbor EUR1YEURIBOR6M =
GeneratorSwapFixedIborMaster.getInstance().getGenerator("EUR1YEURIBOR6M", CALENDAR);
private static final SABRSwaptionProviderDiscount SABR_MULTICURVES =
new SABRSwaptionProviderDiscount(MULTICURVES, SABR_PARAMETER, EUR1YEURIBOR6M);
// Swap 5Y
private static final BusinessDayConvention BUSINESS_DAY =
BusinessDayConventions.MODIFIED_FOLLOWING;
private static final boolean IS_EOM = true;
private static final Period ANNUITY_TENOR = Period.ofYears(5);
private static final ZonedDateTime SETTLEMENT_DATE = DateUtils.getUTCDate(2020, 4, 28);
// Fixed leg: Semi-annual bond
private static final Period FIXED_PAYMENT_PERIOD = Period.ofMonths(6);
private static final DayCount FIXED_DAY_COUNT = DayCounts.THIRTY_U_360;
private static final double RATE = 0.0325;
private static final boolean FIXED_IS_PAYER = true;
private static final AnnuityCouponFixedDefinition FIXED_ANNUITY =
AnnuityCouponFixedDefinition.from(
EUR,
SETTLEMENT_DATE,
ANNUITY_TENOR,
FIXED_PAYMENT_PERIOD,
CALENDAR,
FIXED_DAY_COUNT,
BUSINESS_DAY,
IS_EOM,
1.0,
RATE,
FIXED_IS_PAYER);
// Ibor leg: quarterly money
private static final AnnuityCouponIborDefinition IBOR_ANNUITY =
AnnuityCouponIborDefinition.from(
SETTLEMENT_DATE, ANNUITY_TENOR, 1.0, EURIBOR6M, !FIXED_IS_PAYER, CALENDAR);
// CMS coupon construction
private static final IndexSwap CMS_INDEX =
new IndexSwap(FIXED_PAYMENT_PERIOD, FIXED_DAY_COUNT, EURIBOR6M, ANNUITY_TENOR, CALENDAR);
private static final SwapFixedIborDefinition SWAP_DEFINITION =
new SwapFixedIborDefinition(FIXED_ANNUITY, IBOR_ANNUITY);
private static final ZonedDateTime FIXING_DATE =
ScheduleCalculator.getAdjustedDate(SETTLEMENT_DATE, -EURIBOR6M.getSpotLag(), CALENDAR);
private static final ZonedDateTime ACCRUAL_START_DATE = SETTLEMENT_DATE; // pre-fixed
private static final ZonedDateTime ACCRUAL_END_DATE =
ScheduleCalculator.getAdjustedDate(
ACCRUAL_START_DATE, FIXED_PAYMENT_PERIOD, BUSINESS_DAY, CALENDAR);
private static final ZonedDateTime PAYMENT_DATE = ACCRUAL_END_DATE;
private static final DayCount PAYMENT_DAY_COUNT = DayCounts.ACT_360;
private static final double ACCRUAL_FACTOR =
DayCountUtils.yearFraction(PAYMENT_DAY_COUNT, ACCRUAL_START_DATE, ACCRUAL_END_DATE);
private static final double NOTIONAL = 10000000; // 10m
private static final CouponCMSDefinition CMS_COUPON_RECEIVER_DEFINITION =
CouponCMSDefinition.from(
PAYMENT_DATE,
ACCRUAL_START_DATE,
ACCRUAL_END_DATE,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_DATE,
SWAP_DEFINITION,
CMS_INDEX);
private static final CouponCMSDefinition CMS_COUPON_PAYER_DEFINITION =
CouponCMSDefinition.from(
PAYMENT_DATE,
ACCRUAL_START_DATE,
ACCRUAL_END_DATE,
ACCRUAL_FACTOR,
-NOTIONAL,
FIXING_DATE,
SWAP_DEFINITION,
CMS_INDEX);
// Cap/Floor construction
private static final double STRIKE = 0.04;
private static final boolean IS_CAP = true;
private static final CapFloorCMSDefinition CMS_CAP_LONG_DEFINITION =
CapFloorCMSDefinition.from(CMS_COUPON_RECEIVER_DEFINITION, STRIKE, IS_CAP);
private static final CapFloorCMSDefinition CMS_CAP_SHORT_DEFINITION =
CapFloorCMSDefinition.from(CMS_COUPON_PAYER_DEFINITION, STRIKE, IS_CAP);
private static final CapFloorCMSDefinition CMS_CAP_0_DEFINITION =
CapFloorCMSDefinition.from(CMS_COUPON_RECEIVER_DEFINITION, 0.0, IS_CAP);
// to derivatives
private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2010, 8, 18);
private static final CouponCMS CMS_COUPON =
(CouponCMS) CMS_COUPON_RECEIVER_DEFINITION.toDerivative(REFERENCE_DATE);
private static final CapFloorCMS CMS_CAP_0 =
(CapFloorCMS) CMS_CAP_0_DEFINITION.toDerivative(REFERENCE_DATE);
private static final CapFloorCMS CMS_CAP_LONG =
(CapFloorCMS) CMS_CAP_LONG_DEFINITION.toDerivative(REFERENCE_DATE);
private static final CapFloorCMS CMS_CAP_SHORT =
(CapFloorCMS) CMS_CAP_SHORT_DEFINITION.toDerivative(REFERENCE_DATE);
// Calculators & methods
private static final CapFloorCMSSABRReplicationMethod METHOD_STANDARD_CAP =
CapFloorCMSSABRReplicationMethod.getDefaultInstance();
private static final CouponCMSSABRReplicationMethod METHOD_STANDARD_CPN =
CouponCMSSABRReplicationMethod.getInstance();
private static final CouponCMSDiscountingMethod METHOD_DSC_CPN =
CouponCMSDiscountingMethod.getInstance();
private static final double CUT_OFF_STRIKE = 0.10;
private static final double MU = 2.50;
private static final CapFloorCMSSABRExtrapolationRightReplicationMethod METHOD_EXTRAPOLATION_CAP =
new CapFloorCMSSABRExtrapolationRightReplicationMethod(CUT_OFF_STRIKE, MU);
private static final CouponCMSSABRExtrapolationRightReplicationMethod METHOD_EXTRAPOLATION_CPN =
new CouponCMSSABRExtrapolationRightReplicationMethod(CUT_OFF_STRIKE, MU);
// Calculators
private static final PresentValueSABRSwaptionRightExtrapolationCalculator PVSSXC =
new PresentValueSABRSwaptionRightExtrapolationCalculator(CUT_OFF_STRIKE, MU);
private static final PresentValueCurveSensitivitySABRSwaptionRightExtrapolationCalculator
PVCSSSXC =
new PresentValueCurveSensitivitySABRSwaptionRightExtrapolationCalculator(
CUT_OFF_STRIKE, MU);
private static final PresentValueSABRSensitivitySABRSwaptionRightExtrapolationCalculator
PVSSSSXC =
new PresentValueSABRSensitivitySABRSwaptionRightExtrapolationCalculator(
CUT_OFF_STRIKE, MU);
private static final double SHIFT = 1.0E-6;
private static final ParameterSensitivityParameterCalculator<SABRSwaptionProviderInterface>
PS_SS_C = new ParameterSensitivityParameterCalculator<>(PVCSSSXC);
private static final ParameterSensitivitySABRSwaptionDiscountInterpolatedFDCalculator PS_SS_FDC =
new ParameterSensitivitySABRSwaptionDiscountInterpolatedFDCalculator(PVSSXC, SHIFT);
private static final double TOLERANCE_PV = 1.0E-2;
private static final double TOLERANCE_PV_DELTA = 5.0E+3; // 0.01 currency unit for 1 bp.
/**
* Test the present value for a CMS coupon with pricing by replication in the SABR with
* extrapolation framework. The present value is tested against hard-coded value and cap of strike
* 0.
*/
public void presentValue() {
// CMS cap/floor with strike 0 has the same price as a CMS coupon.
final double priceCouponStd =
METHOD_STANDARD_CPN.presentValue(CMS_COUPON, SABR_MULTICURVES).getAmount(EUR).getAmount();
final double rateCouponStd =
priceCouponStd
/ (CMS_COUPON.getPaymentYearFraction()
* CMS_COUPON.getNotional()
* MULTICURVES.getDiscountFactor(EUR, CMS_COUPON.getPaymentTime()));
final double priceCouponExtra =
METHOD_EXTRAPOLATION_CPN
.presentValue(CMS_COUPON, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final double rateCouponExtra =
priceCouponExtra
/ (CMS_COUPON.getPaymentYearFraction()
* CMS_COUPON.getNotional()
* MULTICURVES.getDiscountFactor(EUR, CMS_COUPON.getPaymentTime()));
final double priceCouponNoAdj =
METHOD_DSC_CPN.presentValue(CMS_COUPON, MULTICURVES).getAmount(EUR).getAmount();
final double rateCouponNoAdj =
priceCouponNoAdj
/ (CMS_COUPON.getPaymentYearFraction()
* CMS_COUPON.getNotional()
* MULTICURVES.getDiscountFactor(EUR, CMS_COUPON.getPaymentTime()));
assertEquals(
"Extrapolation: comparison with standard method", rateCouponStd > rateCouponExtra, true);
assertEquals(
"Extrapolation: comparison with no convexity adjustment",
rateCouponExtra > rateCouponNoAdj,
true);
final double rateCouponExtraExpected = 0.0189864; // From previous run.
assertEquals("Extrapolation: hard-coded value", rateCouponExtraExpected, rateCouponExtra, 1E-6);
final double priceCap0Extra =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_0, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
assertEquals(
"Extrapolation: CMS coupon vs Cap 0", priceCouponExtra, priceCap0Extra, TOLERANCE_PV);
}
/**
* Tests the price of CMS coupon and cap/floor using replication in the SABR framework. Method v
* Calculator.
*/
public void presentValueMethodVsCalculator() {
final double pvMethod =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_LONG, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final double pvCalculator =
CMS_CAP_LONG.accept(PVSSXC, SABR_MULTICURVES).getAmount(EUR).getAmount();
assertEquals(
"CMS cap/floor SABR: Present value : method vs calculator",
pvMethod,
pvCalculator,
TOLERANCE_PV);
}
/**
* Test the present value for a CMS cap with pricing by replication in the SABR with extrapolation
* framework. The present value is tested against hard-coded value and a long/short parity is
* tested.
*/
public void presentValueReplicationCap() {
// CMS cap/floor with strike 0 has the same price as a CMS coupon.
final double priceCapLongStd =
METHOD_STANDARD_CAP.presentValue(CMS_CAP_LONG, SABR_MULTICURVES).getAmount(EUR).getAmount();
final double priceCapLongExtra =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_LONG, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final double priceCapShortExtra =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_SHORT, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
assertEquals(
"CMS cap by replication - Extrapolation: comparison with standard method",
priceCapLongStd > priceCapLongExtra,
true);
final double priceCapExtraExpected = 30696.572; // From previous run.
assertEquals(
"CMS cap by replication - Extrapolation: hard-coded value",
priceCapExtraExpected,
priceCapLongExtra,
TOLERANCE_PV);
assertEquals(
"CMS cap by replication - Extrapolation: long/short parity",
-priceCapShortExtra,
priceCapLongExtra,
TOLERANCE_PV);
}
/**
* 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 the present value rate sensitivity for a CMS cap with pricing by replication in the SABR
* with extrapolation framework. Method v Calculator.
*/
public void presentValueCurveSensitivityMethodVsCalculator() {
final MultipleCurrencyMulticurveSensitivity pvcsMethod =
METHOD_EXTRAPOLATION_CAP.presentValueCurveSensitivity(CMS_CAP_LONG, SABR_MULTICURVES);
final MultipleCurrencyMulticurveSensitivity pvcsCalculator =
CMS_CAP_LONG.accept(PVCSSSXC, SABR_MULTICURVES);
AssertSensitivityObjects.assertEquals(
"CMS cap/floor SABR: Present value : method vs calculator",
pvcsMethod,
pvcsCalculator,
TOLERANCE_PV_DELTA);
}
/** Tests the cap present value SABR parameters sensitivity vs finite difference. */
public void presentValueSABRSensitivity() {
final double pv =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_LONG, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final PresentValueSABRSensitivityDataBundle pvsCapLong =
METHOD_EXTRAPOLATION_CAP.presentValueSABRSensitivity(CMS_CAP_LONG, SABR_MULTICURVES);
// SABR sensitivity vs finite difference
final double shift = 0.0001;
final double shiftAlpha = 0.00001;
final double maturity =
CMS_CAP_LONG
.getUnderlyingSwap()
.getFixedLeg()
.getNthPayment(
CMS_CAP_LONG.getUnderlyingSwap().getFixedLeg().getNumberOfPayments() - 1)
.getPaymentTime()
- CMS_CAP_LONG.getSettlementTime();
final DoublesPair expectedExpiryTenor = DoublesPair.of(CMS_CAP_LONG.getFixingTime(), maturity);
// Alpha sensitivity vs finite difference computation
final SABRInterestRateParameters sabrParameterAlphaBumped =
SABRDataSets.createSABR1AlphaBumped(shiftAlpha);
final SABRSwaptionProviderDiscount sabrBundleAlphaBumped =
new SABRSwaptionProviderDiscount(MULTICURVES, sabrParameterAlphaBumped, EUR1YEURIBOR6M);
final double pvLongPayerAlphaBumped =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_LONG, sabrBundleAlphaBumped)
.getAmount(EUR)
.getAmount();
final double expectedAlphaSensi = (pvLongPayerAlphaBumped - pv) / shiftAlpha;
assertEquals("Number of alpha sensitivity", pvsCapLong.getAlpha().getMap().keySet().size(), 1);
assertEquals(
"Alpha sensitivity expiry/tenor",
pvsCapLong.getAlpha().getMap().keySet().contains(expectedExpiryTenor),
true);
assertEquals(
"Alpha sensitivity value",
expectedAlphaSensi,
pvsCapLong.getAlpha().getMap().get(expectedExpiryTenor),
TOLERANCE_PV_DELTA);
// Rho sensitivity vs finite difference computation
final SABRInterestRateParameters sabrParameterRhoBumped = SABRDataSets.createSABR1RhoBumped();
final SABRSwaptionProviderDiscount sabrBundleRhoBumped =
new SABRSwaptionProviderDiscount(MULTICURVES, sabrParameterRhoBumped, EUR1YEURIBOR6M);
final double pvLongPayerRhoBumped =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_LONG, sabrBundleRhoBumped)
.getAmount(EUR)
.getAmount();
final double expectedRhoSensi = (pvLongPayerRhoBumped - pv) / shift;
assertEquals("Number of rho sensitivity", pvsCapLong.getRho().getMap().keySet().size(), 1);
assertEquals(
"Rho sensitivity expiry/tenor",
pvsCapLong.getRho().getMap().keySet().contains(expectedExpiryTenor),
true);
assertEquals(
"Rho sensitivity value",
expectedRhoSensi,
pvsCapLong.getRho().getMap().get(expectedExpiryTenor),
TOLERANCE_PV_DELTA);
// Alpha sensitivity vs finite difference computation
final SABRInterestRateParameters sabrParameterNuBumped = SABRDataSets.createSABR1NuBumped();
final SABRSwaptionProviderDiscount sabrBundleNuBumped =
new SABRSwaptionProviderDiscount(MULTICURVES, sabrParameterNuBumped, EUR1YEURIBOR6M);
final double pvLongPayerNuBumped =
METHOD_EXTRAPOLATION_CAP
.presentValue(CMS_CAP_LONG, sabrBundleNuBumped)
.getAmount(EUR)
.getAmount();
final double expectedNuSensi = (pvLongPayerNuBumped - pv) / shift;
assertEquals("Number of nu sensitivity", pvsCapLong.getNu().getMap().keySet().size(), 1);
assertTrue(
"Nu sensitivity expiry/tenor",
pvsCapLong.getNu().getMap().keySet().contains(expectedExpiryTenor));
assertEquals(
"Nu sensitivity value",
expectedNuSensi,
pvsCapLong.getNu().getMap().get(expectedExpiryTenor),
TOLERANCE_PV_DELTA);
}
/** Tests the coupon present value SABR parameters sensitivity vs finite difference. */
public void presentValueSABRSensitivityCoupon() {
final double pv =
METHOD_EXTRAPOLATION_CPN
.presentValue(CMS_COUPON, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final PresentValueSABRSensitivityDataBundle pvsCpn =
METHOD_EXTRAPOLATION_CPN.presentValueSABRSensitivity(CMS_COUPON, SABR_MULTICURVES);
// SABR sensitivity vs finite difference
final double shift = 0.0001;
final double shiftAlpha = 0.00001;
final double maturity =
CMS_COUPON
.getUnderlyingSwap()
.getFixedLeg()
.getNthPayment(
CMS_COUPON.getUnderlyingSwap().getFixedLeg().getNumberOfPayments() - 1)
.getPaymentTime()
- CMS_COUPON.getSettlementTime();
final DoublesPair expectedExpiryTenor = DoublesPair.of(CMS_COUPON.getFixingTime(), maturity);
// Alpha sensitivity vs finite difference computation
final SABRInterestRateParameters sabrParameterAlphaBumped =
SABRDataSets.createSABR1AlphaBumped(shiftAlpha);
final SABRSwaptionProviderDiscount sabrBundleAlphaBumped =
new SABRSwaptionProviderDiscount(MULTICURVES, sabrParameterAlphaBumped, EUR1YEURIBOR6M);
final double pvLongPayerAlphaBumped =
METHOD_EXTRAPOLATION_CPN
.presentValue(CMS_COUPON, sabrBundleAlphaBumped)
.getAmount(EUR)
.getAmount();
final double expectedAlphaSensi = (pvLongPayerAlphaBumped - pv) / shiftAlpha;
assertEquals("Number of alpha sensitivity", pvsCpn.getAlpha().getMap().keySet().size(), 1);
assertEquals(
"Alpha sensitivity expiry/tenor",
pvsCpn.getAlpha().getMap().keySet().contains(expectedExpiryTenor),
true);
assertEquals(
"Alpha sensitivity value",
expectedAlphaSensi,
pvsCpn.getAlpha().getMap().get(expectedExpiryTenor),
TOLERANCE_PV_DELTA);
// Rho sensitivity vs finite difference computation
final SABRInterestRateParameters sabrParameterRhoBumped = SABRDataSets.createSABR1RhoBumped();
final SABRSwaptionProviderDiscount sabrBundleRhoBumped =
new SABRSwaptionProviderDiscount(MULTICURVES, sabrParameterRhoBumped, EUR1YEURIBOR6M);
final double pvLongPayerRhoBumped =
METHOD_EXTRAPOLATION_CPN
.presentValue(CMS_COUPON, sabrBundleRhoBumped)
.getAmount(EUR)
.getAmount();
final double expectedRhoSensi = (pvLongPayerRhoBumped - pv) / shift;
assertEquals("Number of rho sensitivity", pvsCpn.getRho().getMap().keySet().size(), 1);
assertEquals(
"Rho sensitivity expiry/tenor",
pvsCpn.getRho().getMap().keySet().contains(expectedExpiryTenor),
true);
assertEquals(
"Rho sensitivity value",
expectedRhoSensi,
pvsCpn.getRho().getMap().get(expectedExpiryTenor),
TOLERANCE_PV_DELTA);
// Nu sensitivity vs finite difference computation
final SABRInterestRateParameters sabrParameterNuBumped = SABRDataSets.createSABR1NuBumped();
final SABRSwaptionProviderDiscount sabrBundleNuBumped =
new SABRSwaptionProviderDiscount(MULTICURVES, sabrParameterNuBumped, EUR1YEURIBOR6M);
final double pvLongPayerNuBumped =
METHOD_EXTRAPOLATION_CPN
.presentValue(CMS_COUPON, sabrBundleNuBumped)
.getAmount(EUR)
.getAmount();
final double expectedNuSensi = (pvLongPayerNuBumped - pv) / shift;
assertEquals("Number of nu sensitivity", pvsCpn.getNu().getMap().keySet().size(), 1);
assertTrue(
"Nu sensitivity expiry/tenor",
pvsCpn.getNu().getMap().keySet().contains(expectedExpiryTenor));
assertEquals(
"Nu sensitivity value",
expectedNuSensi,
pvsCpn.getNu().getMap().get(expectedExpiryTenor),
TOLERANCE_PV_DELTA);
}
/** Tests the present value SABR parameters sensitivity: Method vs Calculator. */
public void presentValueSABRSensitivityMethodVsCalculator() {
final PresentValueSABRSensitivityDataBundle pvssMethod =
METHOD_EXTRAPOLATION_CAP.presentValueSABRSensitivity(CMS_CAP_LONG, SABR_MULTICURVES);
final PresentValueSABRSensitivityDataBundle pvssCalculator =
CMS_CAP_LONG.accept(PVSSSSXC, SABR_MULTICURVES);
assertEquals(
"CMS cap/floor SABR: Present value SABR sensitivity: method vs calculator",
pvssMethod,
pvssCalculator);
}
/** Tests the present value strike sensitivity: Cap. */
public void presentValueStrikeSensitivityCap() {
final double[] strikes = new double[] {0.0001, 0.0010, 0.0050, 0.0100, 0.0200, 0.0400, 0.0500};
final int nbStrikes = strikes.length;
final double shift = 1.0E-5;
final double[] errorRelative = new double[nbStrikes];
for (int loopstrike = 0; loopstrike < nbStrikes; loopstrike++) {
final CapFloorCMSDefinition cmsCapDefinition =
CapFloorCMSDefinition.from(CMS_COUPON_RECEIVER_DEFINITION, strikes[loopstrike], IS_CAP);
final CapFloorCMSDefinition cmsCapShiftUpDefinition =
CapFloorCMSDefinition.from(
CMS_COUPON_RECEIVER_DEFINITION, strikes[loopstrike] + shift, IS_CAP);
final CapFloorCMSDefinition cmsCapShiftDoDefinition =
CapFloorCMSDefinition.from(
CMS_COUPON_RECEIVER_DEFINITION, strikes[loopstrike] - shift, IS_CAP);
final CapFloorCMS cmsCap = (CapFloorCMS) cmsCapDefinition.toDerivative(REFERENCE_DATE);
final CapFloorCMS cmsCapShiftUp =
(CapFloorCMS) cmsCapShiftUpDefinition.toDerivative(REFERENCE_DATE);
final CapFloorCMS cmsCapShiftDo =
(CapFloorCMS) cmsCapShiftDoDefinition.toDerivative(REFERENCE_DATE);
final double pvShiftUp =
METHOD_EXTRAPOLATION_CAP
.presentValue(cmsCapShiftUp, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final double pvShiftDo =
METHOD_EXTRAPOLATION_CAP
.presentValue(cmsCapShiftDo, SABR_MULTICURVES)
.getAmount(EUR)
.getAmount();
final double sensiExpected = (pvShiftUp - pvShiftDo) / (2 * shift);
final double sensiComputed =
METHOD_EXTRAPOLATION_CAP.presentValueStrikeSensitivity(cmsCap, SABR_MULTICURVES);
errorRelative[loopstrike] = (sensiExpected - sensiComputed) / sensiExpected;
assertEquals(
"CMS cap/floor SABR: Present value strike sensitivity " + loopstrike,
0,
errorRelative[loopstrike],
5.0E-3);
}
}
/**
* Tests to estimate the impact of mu on the CMS coupon pricing. "enabled = false" for the
* standard testing.
*/
public void testPriceMultiMu() {
final double[] mu = new double[] {1.10, 1.30, 1.55, 2.25, 3.50, 6.00, 15.0};
final int nbMu = mu.length;
final double priceCouponStd =
METHOD_STANDARD_CPN.presentValue(CMS_COUPON, SABR_MULTICURVES).getAmount(EUR).getAmount();
@SuppressWarnings("unused")
final double rateCouponStd =
priceCouponStd
/ (CMS_COUPON.getPaymentYearFraction()
* CMS_COUPON.getNotional()
* MULTICURVES.getDiscountFactor(EUR, CMS_COUPON.getPaymentTime()));
final double[] priceCouponExtra = new double[nbMu];
final double[] rateCouponExtra = new double[nbMu];
for (int loopmu = 0; loopmu < nbMu; loopmu++) {
final CouponCMSSABRExtrapolationRightReplicationMethod methodExtrapolation =
new CouponCMSSABRExtrapolationRightReplicationMethod(CUT_OFF_STRIKE, mu[loopmu]);
priceCouponExtra[loopmu] =
methodExtrapolation.presentValue(CMS_COUPON, SABR_MULTICURVES).getAmount(EUR).getAmount();
rateCouponExtra[loopmu] =
priceCouponExtra[loopmu]
/ (CMS_COUPON.getPaymentYearFraction()
* CMS_COUPON.getNotional()
* MULTICURVES.getDiscountFactor(EUR, CMS_COUPON.getPaymentTime()));
}
final double priceCouponNoAdj =
METHOD_DSC_CPN.presentValue(CMS_COUPON, MULTICURVES).getAmount(EUR).getAmount();
final double rateCouponNoAdj =
priceCouponNoAdj
/ (CMS_COUPON.getPaymentYearFraction()
* CMS_COUPON.getNotional()
* MULTICURVES.getDiscountFactor(EUR, CMS_COUPON.getPaymentTime()));
for (int loopmu = 1; loopmu < nbMu; loopmu++) {
assertTrue(
"Extrapolation: comparison with standard method",
rateCouponExtra[loopmu - 1] > rateCouponExtra[loopmu]);
}
assertTrue(
"Extrapolation: comparison with standard method",
rateCouponExtra[nbMu - 1] > rateCouponNoAdj);
}
}
public class CouponFixedCompoundingDefinitionTest {
private static final Calendar NYC = new MondayToFridayCalendar("NYC");
private static final IndexIborMaster MASTER_IBOR = IndexIborMaster.getInstance();
private static final IborIndex USDLIBOR1M = MASTER_IBOR.getIndex("USDLIBOR1M");
private static final Currency CURRENCY = USDLIBOR1M.getCurrency();
private static final Period TENOR_3M = Period.ofMonths(3);
private static final ZonedDateTime START_DATE = DateUtils.getUTCDate(2012, 8, 24);
private static final double NOTIONAL = 123454321;
private static final double FIXED_RATE = .02;
private static final ZonedDateTime[] ACCRUAL_END_DATES =
ScheduleCalculator.getAdjustedDateSchedule(
START_DATE, TENOR_3M, true, false, USDLIBOR1M, NYC);
private static final int NB_SUB_PERIOD = ACCRUAL_END_DATES.length;
private static final ZonedDateTime[] ACCRUAL_START_DATES = new ZonedDateTime[NB_SUB_PERIOD];
private static final double[] PAYMENT_ACCRUAL_FACTORS = new double[NB_SUB_PERIOD];
private static final double PAYMENT_ACCRUAL_FACTOR;
static {
ACCRUAL_START_DATES[0] = START_DATE;
for (int loopsub = 1; loopsub < NB_SUB_PERIOD; loopsub++) {
ACCRUAL_START_DATES[loopsub] = ACCRUAL_END_DATES[loopsub - 1];
}
double af = 0.0;
for (int loopsub = 0; loopsub < NB_SUB_PERIOD; loopsub++) {
PAYMENT_ACCRUAL_FACTORS[loopsub] =
USDLIBOR1M
.getDayCount()
.getDayCountFraction(ACCRUAL_START_DATES[loopsub], ACCRUAL_END_DATES[loopsub]);
af += PAYMENT_ACCRUAL_FACTORS[loopsub];
}
PAYMENT_ACCRUAL_FACTOR = af;
}
private static final ZonedDateTime[] FIXING_DATES =
ScheduleCalculator.getAdjustedDate(ACCRUAL_START_DATES, -USDLIBOR1M.getSpotLag(), NYC);
private static final ZonedDateTime[] FIXING_PERIOD_END_DATES =
ScheduleCalculator.getAdjustedDate(ACCRUAL_START_DATES, USDLIBOR1M, NYC);
private static final double[] FIXING_ACCRUAL_FACTORS = new double[NB_SUB_PERIOD];
static {
for (int loopsub = 0; loopsub < NB_SUB_PERIOD; loopsub++) {
FIXING_ACCRUAL_FACTORS[loopsub] =
USDLIBOR1M
.getDayCount()
.getDayCountFraction(ACCRUAL_START_DATES[loopsub], FIXING_PERIOD_END_DATES[loopsub]);
}
}
private static final ZonedDateTime PAYMENT_DATE = ACCRUAL_END_DATES[NB_SUB_PERIOD - 1];
private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2012, 8, 17);
private static final double[] FIXING_TIMES =
TimeCalculator.getTimeBetween(REFERENCE_DATE, FIXING_DATES);
private static final double[] FIXING_PERIOD_END_TIMES =
TimeCalculator.getTimeBetween(REFERENCE_DATE, FIXING_PERIOD_END_DATES);
private static final double[] ACCRUAL_START_TIMES =
TimeCalculator.getTimeBetween(REFERENCE_DATE, ACCRUAL_START_DATES);
private static final double[] ACCRUAL_END_TIMES =
TimeCalculator.getTimeBetween(REFERENCE_DATE, ACCRUAL_END_DATES);
private static final double PAYMENT_TIME = ACCRUAL_END_TIMES[NB_SUB_PERIOD - 1];
private static final String DSC_NAME = "Dsc_USD";
private static final String FWD_NAME = "Forward1M_USD";
private static final CouponFixedCompoundingDefinition COUPON =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
@Test
/** Tests the getters. */
public void testGetters() {
assertEquals(COUPON.getPaymentDate(), PAYMENT_DATE);
assertEquals(COUPON.getAccrualStartDate(), ACCRUAL_START_DATES[0]);
assertEquals(COUPON.getAccrualEndDate(), ACCRUAL_END_DATES[NB_SUB_PERIOD - 1]);
assertEquals(COUPON.getPaymentYearFraction(), PAYMENT_ACCRUAL_FACTOR, 1E-10);
assertEquals(COUPON.getNotional(), NOTIONAL, 1E-2);
assertEquals(COUPON.getRate(), FIXED_RATE, 1E-10);
assertArrayEquals(COUPON.getAccrualStartDates(), ACCRUAL_START_DATES);
assertArrayEquals(COUPON.getAccrualEndDates(), ACCRUAL_END_DATES);
assertArrayEquals(COUPON.getPaymentAccrualFactors(), PAYMENT_ACCRUAL_FACTORS, 0);
}
@Test(expectedExceptions = IllegalArgumentException.class)
public void nullCurrency() {
CouponFixedCompoundingDefinition.from(
null,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
}
@Test(expectedExceptions = IllegalArgumentException.class)
public void testNullPaymentDate() {
CouponFixedCompoundingDefinition.from(
CURRENCY,
null,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
}
@Test(expectedExceptions = IllegalArgumentException.class)
public void testNegativePaymentAccrualFactor() {
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
-PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
}
@Test
/** Tests the equal and hash code. */
public void testEqualHash() {
assertEquals("CouponIbor: equal-hash", COUPON, COUPON);
final CouponFixedCompoundingDefinition other =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertEquals("CouponFixedCompoundingDefinition: equal-hash", other, COUPON);
assertEquals(
"CouponFixedCompoundingDefinition: equal-hash", other.hashCode(), COUPON.hashCode());
CouponFixedCompoundingDefinition modified;
modified =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE.plusDays(1),
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertFalse("CouponIbor: equal-hash", COUPON.equals(modified));
modified =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0].plusDays(1),
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertFalse("CouponIbor: equal-hash", COUPON.equals(modified));
modified =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1].plusDays(1),
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertFalse("CouponIbor: equal-hash", COUPON.equals(modified));
modified =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR + 1,
NOTIONAL,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertFalse("CouponIbor: equal-hash", COUPON.equals(modified));
modified =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL + 1,
FIXED_RATE,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertFalse("CouponIbor: equal-hash", COUPON.equals(modified));
modified =
CouponFixedCompoundingDefinition.from(
CURRENCY,
PAYMENT_DATE,
ACCRUAL_START_DATES[0],
ACCRUAL_END_DATES[NB_SUB_PERIOD - 1],
PAYMENT_ACCRUAL_FACTOR,
NOTIONAL,
FIXED_RATE + 1,
ACCRUAL_START_DATES,
ACCRUAL_END_DATES,
PAYMENT_ACCRUAL_FACTORS);
assertFalse("CouponIbor: equal-hash", COUPON.equals(modified));
}
}
/** Tests related to the construction of Ibor coupon. */
public class CouponIborTest {
private static final ZonedDateTime REFERENCE_DATE = DateUtils.getUTCDate(2010, 12, 27);
private static final Calendar TARGET = new MondayToFridayCalendar("TARGET");
private static final IndexIborMaster INDEX_IBOR_MASTER = IndexIborMaster.getInstance();
private static final IborIndex INDEX_EURIBOR3M = INDEX_IBOR_MASTER.getIndex("EURIBOR3M");
private static final Currency EUR = INDEX_EURIBOR3M.getCurrency();
// Coupon
private static final DayCount DAY_COUNT_COUPON =
DayCountFactory.INSTANCE.getDayCount("Actual/365");
private static final ZonedDateTime ACCRUAL_START_DATE = DateUtils.getUTCDate(2011, 5, 23);
private static final ZonedDateTime ACCRUAL_END_DATE = DateUtils.getUTCDate(2011, 8, 22);
private static final ZonedDateTime PAYMENT_DATE = DateUtils.getUTCDate(2011, 8, 24);
private static final double ACCRUAL_FACTOR =
DAY_COUNT_COUPON.getDayCountFraction(ACCRUAL_START_DATE, ACCRUAL_END_DATE);
private static final double NOTIONAL = 1000000; // 1m
private static final ZonedDateTime FIXING_DATE =
ScheduleCalculator.getAdjustedDate(
ACCRUAL_END_DATE, -INDEX_EURIBOR3M.getSpotLag(), TARGET); // In arrears
private static final ZonedDateTime FIXING_START_DATE = ACCRUAL_END_DATE;
private static final ZonedDateTime FIXING_END_DATE =
ScheduleCalculator.getAdjustedDate(FIXING_START_DATE, INDEX_EURIBOR3M, TARGET);
private static final double PAYMENT_TIME =
TimeCalculator.getTimeBetween(REFERENCE_DATE, PAYMENT_DATE);
private static final double FIXING_TIME =
TimeCalculator.getTimeBetween(REFERENCE_DATE, FIXING_DATE);
private static final double FIXING_START_TIME =
TimeCalculator.getTimeBetween(REFERENCE_DATE, FIXING_START_DATE);
private static final double FIXING_END_TIME =
TimeCalculator.getTimeBetween(REFERENCE_DATE, FIXING_END_DATE);
private static final double FIXING_ACCRUAL_FACTOR =
INDEX_EURIBOR3M.getDayCount().getDayCountFraction(FIXING_START_DATE, FIXING_END_DATE);
private static final CouponIbor CPN_IBOR =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
@Test(expectedExceptions = IllegalArgumentException.class)
public void nullCurrency() {
new CouponIbor(
null,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
}
@Test(expectedExceptions = IllegalArgumentException.class)
public void nullIndex() {
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
null,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
}
@Test(expectedExceptions = IllegalArgumentException.class)
public void incompatibleCurrency() {
new CouponIbor(
Currency.USD,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
}
@Test
/** Tests the getters. */
public void getter() {
assertEquals("CouponIbor: getter", EUR, CPN_IBOR.getCurrency());
assertEquals("CouponIbor: getter", INDEX_EURIBOR3M, CPN_IBOR.getIndex());
assertEquals("CouponIbor: getter", FIXING_START_TIME, CPN_IBOR.getFixingPeriodStartTime());
assertEquals("CouponIbor: getter", FIXING_END_TIME, CPN_IBOR.getFixingPeriodEndTime());
assertEquals("CouponIbor: getter", FIXING_ACCRUAL_FACTOR, CPN_IBOR.getFixingAccrualFactor());
}
@Test
public void testWithNotional() {
final double notional = NOTIONAL + 1000;
final CouponIbor expected =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
notional,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertEquals(expected, CPN_IBOR.withNotional(notional));
}
@Test
/** Tests the equal and hash code. */
public void testEqualHash() {
assertEquals("CouponIbor: equal-hash", CPN_IBOR, CPN_IBOR);
final CouponIbor other =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertEquals("CouponIbor: equal-hash", other, CPN_IBOR);
assertEquals("CouponIbor: equal-hash", other.hashCode(), CPN_IBOR.hashCode());
CouponIbor modified;
modified =
new CouponIbor(
EUR,
PAYMENT_TIME + 0.1,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR + 0.1,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL + 1.0,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME - 0.1,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
Currency.USD,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_IBOR_MASTER.getIndex("USDLIBOR3M"),
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME + 0.1,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME + 0.1,
FIXING_ACCRUAL_FACTOR);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
modified =
new CouponIbor(
EUR,
PAYMENT_TIME,
ACCRUAL_FACTOR,
NOTIONAL,
FIXING_TIME,
INDEX_EURIBOR3M,
FIXING_START_TIME,
FIXING_END_TIME,
FIXING_ACCRUAL_FACTOR + 0.1);
assertFalse("CouponIbor: equal-hash", CPN_IBOR.equals(modified));
}
}
