static void Main(string[] args) {
DateTime timer = DateTime.Now;
/*********************
*** MARKET DATA ***
*********************/
Calendar calendar = new TARGET();
Date settlementDate = new Date(18, Month.September, 2008);
// must be a business day
settlementDate = calendar.adjust(settlementDate);
int fixingDays = 3;
int settlementDays = 3;
Date todaysDate = calendar.advance(settlementDate, -fixingDays, TimeUnit.Days);
// nothing to do with Date::todaysDate
Settings.setEvaluationDate(todaysDate);
Console.WriteLine("Today: {0}, {1}", todaysDate.DayOfWeek, todaysDate);
Console.WriteLine("Settlement date: {0}, {1}", settlementDate.DayOfWeek, settlementDate);
// Building of the bonds discounting yield curve
/*********************
*** RATE HELPERS ***
*********************/
// RateHelpers are built from the above quotes together with
// other instrument dependant infos. Quotes are passed in
// relinkable handles which could be relinked to some other
// data source later.
// Common data
// ZC rates for the short end
double zc3mQuote=0.0096;
double zc6mQuote=0.0145;
double zc1yQuote=0.0194;
Quote zc3mRate = new SimpleQuote(zc3mQuote);
Quote zc6mRate = new SimpleQuote(zc6mQuote);
Quote zc1yRate = new SimpleQuote(zc1yQuote);
DayCounter zcBondsDayCounter = new Actual365Fixed();
RateHelper zc3m = new DepositRateHelper(new Handle<Quote>(zc3mRate),
new Period(3, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, zcBondsDayCounter);
RateHelper zc6m = new DepositRateHelper(new Handle<Quote>(zc6mRate),
new Period(6, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, zcBondsDayCounter);
RateHelper zc1y = new DepositRateHelper(new Handle<Quote>(zc1yRate),
new Period(1, TimeUnit.Years), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, zcBondsDayCounter);
// setup bonds
double redemption = 100.0;
const int numberOfBonds = 5;
Date[] issueDates = {
new Date (15, Month.March, 2005),
new Date (15, Month.June, 2005),
new Date (30, Month.June, 2006),
new Date (15, Month.November, 2002),
new Date (15, Month.May, 1987)
};
Date[] maturities = {
new Date (31, Month.August, 2010),
new Date (31, Month.August, 2011),
new Date (31, Month.August, 2013),
new Date (15, Month.August, 2018),
new Date (15, Month.May, 2038)
};
double[] couponRates = {
0.02375,
0.04625,
0.03125,
0.04000,
0.04500
};
double[] marketQuotes = {
100.390625,
106.21875,
100.59375,
101.6875,
102.140625
};
List<SimpleQuote> quote = new List<SimpleQuote>();
for (int i=0; i<numberOfBonds; i++) {
SimpleQuote cp = new SimpleQuote(marketQuotes[i]);
quote.Add(cp);
}
List<RelinkableHandle<Quote>> quoteHandle = new InitializedList<RelinkableHandle<Quote>>(numberOfBonds);
for (int i=0; i<numberOfBonds; i++) {
quoteHandle[i].linkTo(quote[i]);
}
// Definition of the rate helpers
List<FixedRateBondHelper> bondsHelpers = new List<FixedRateBondHelper>();
for (int i=0; i<numberOfBonds; i++) {
Schedule schedule = new Schedule(issueDates[i], maturities[i], new Period(Frequency.Semiannual),
new UnitedStates(UnitedStates.Market.GovernmentBond),
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
FixedRateBondHelper bondHelper = new FixedRateBondHelper(quoteHandle[i],
settlementDays,
100.0,
schedule,
new List<double>() { couponRates[i] },
new ActualActual(ActualActual.Convention.Bond),
BusinessDayConvention.Unadjusted,
redemption,
issueDates[i]);
bondsHelpers.Add(bondHelper);
}
/*********************
** CURVE BUILDING **
*********************/
// Any DayCounter would be fine.
// ActualActual::ISDA ensures that 30 years is 30.0
DayCounter termStructureDayCounter = new ActualActual(ActualActual.Convention.ISDA);
double tolerance = 1.0e-15;
// A depo-bond curve
List<RateHelper> bondInstruments = new List<RateHelper>();
// Adding the ZC bonds to the curve for the short end
bondInstruments.Add(zc3m);
bondInstruments.Add(zc6m);
bondInstruments.Add(zc1y);
// Adding the Fixed rate bonds to the curve for the long end
for (int i=0; i<numberOfBonds; i++) {
bondInstruments.Add(bondsHelpers[i]);
}
YieldTermStructure bondDiscountingTermStructure = new PiecewiseYieldCurve<Discount,LogLinear>(
settlementDate, bondInstruments,
termStructureDayCounter,
new List<Handle<Quote>>(),
new List<Date>(),
tolerance);
// Building of the Libor forecasting curve
// deposits
double d1wQuote=0.043375;
double d1mQuote=0.031875;
double d3mQuote=0.0320375;
double d6mQuote=0.03385;
double d9mQuote=0.0338125;
double d1yQuote=0.0335125;
// swaps
double s2yQuote=0.0295;
double s3yQuote=0.0323;
double s5yQuote=0.0359;
double s10yQuote=0.0412;
double s15yQuote=0.0433;
/********************
*** QUOTES ***
********************/
// SimpleQuote stores a value which can be manually changed;
// other Quote subclasses could read the value from a database
// or some kind of data feed.
// deposits
Quote d1wRate = new SimpleQuote(d1wQuote);
Quote d1mRate = new SimpleQuote(d1mQuote);
Quote d3mRate = new SimpleQuote(d3mQuote);
Quote d6mRate = new SimpleQuote(d6mQuote);
Quote d9mRate = new SimpleQuote(d9mQuote);
Quote d1yRate = new SimpleQuote(d1yQuote);
// swaps
Quote s2yRate = new SimpleQuote(s2yQuote);
Quote s3yRate = new SimpleQuote(s3yQuote);
Quote s5yRate = new SimpleQuote(s5yQuote);
Quote s10yRate = new SimpleQuote(s10yQuote);
Quote s15yRate = new SimpleQuote(s15yQuote);
/*********************
*** RATE HELPERS ***
*********************/
// RateHelpers are built from the above quotes together with
// other instrument dependant infos. Quotes are passed in
// relinkable handles which could be relinked to some other
// data source later.
// deposits
DayCounter depositDayCounter = new Actual360();
RateHelper d1w = new DepositRateHelper(
new Handle<Quote>(d1wRate),
new Period(1, TimeUnit.Weeks), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d1m = new DepositRateHelper(
new Handle<Quote>(d1mRate),
new Period(1, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d3m = new DepositRateHelper(
new Handle<Quote>(d3mRate),
new Period(3, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d6m = new DepositRateHelper(
new Handle<Quote>(d6mRate),
new Period(6, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d9m = new DepositRateHelper(
new Handle<Quote>(d9mRate),
new Period(9, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d1y = new DepositRateHelper(
new Handle<Quote>(d1yRate),
new Period(1, TimeUnit.Years), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
// setup swaps
Frequency swFixedLegFrequency =Frequency.Annual;
BusinessDayConvention swFixedLegConvention = BusinessDayConvention.Unadjusted;
DayCounter swFixedLegDayCounter = new Thirty360(Thirty360.Thirty360Convention.European);
IborIndex swFloatingLegIndex = new Euribor6M();
Period forwardStart = new Period(1, TimeUnit.Days);
RateHelper s2y = new SwapRateHelper(
new Handle<Quote>(s2yRate), new Period(2, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s3y = new SwapRateHelper(
new Handle<Quote>(s3yRate), new Period(3, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s5y = new SwapRateHelper(
new Handle<Quote>(s5yRate), new Period(5, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s10y = new SwapRateHelper(
new Handle<Quote>(s10yRate), new Period(10, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s15y = new SwapRateHelper(
new Handle<Quote>(s15yRate), new Period(15, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
/*********************
** CURVE BUILDING **
*********************/
// Any DayCounter would be fine.
// ActualActual::ISDA ensures that 30 years is 30.0
// A depo-swap curve
List<RateHelper> depoSwapInstruments = new List<RateHelper>();
depoSwapInstruments.Add(d1w);
depoSwapInstruments.Add(d1m);
depoSwapInstruments.Add(d3m);
depoSwapInstruments.Add(d6m);
depoSwapInstruments.Add(d9m);
depoSwapInstruments.Add(d1y);
depoSwapInstruments.Add(s2y);
depoSwapInstruments.Add(s3y);
depoSwapInstruments.Add(s5y);
depoSwapInstruments.Add(s10y);
depoSwapInstruments.Add(s15y);
YieldTermStructure depoSwapTermStructure = new PiecewiseYieldCurve<Discount,LogLinear>(
settlementDate, depoSwapInstruments,
termStructureDayCounter,
new List<Handle<Quote> >(),
new List<Date>(),
tolerance);
// Term structures that will be used for pricing:
// the one used for discounting cash flows
RelinkableHandle<YieldTermStructure> discountingTermStructure = new RelinkableHandle<YieldTermStructure>();
// the one used for forward rate forecasting
RelinkableHandle<YieldTermStructure> forecastingTermStructure = new RelinkableHandle<YieldTermStructure>();
/*********************
* BONDS TO BE PRICED *
**********************/
// Common data
double faceAmount = 100;
// Pricing engine
IPricingEngine bondEngine = new DiscountingBondEngine(discountingTermStructure);
// Zero coupon bond
ZeroCouponBond zeroCouponBond = new ZeroCouponBond(
settlementDays,
new UnitedStates(UnitedStates.Market.GovernmentBond),
faceAmount,
new Date(15, Month.August,2013),
BusinessDayConvention.Following,
116.92,
new Date(15, Month.August,2003));
zeroCouponBond.setPricingEngine(bondEngine);
// Fixed 4.5% US Treasury Note
Schedule fixedBondSchedule = new Schedule(new Date(15, Month.May, 2007),
new Date(15,Month.May,2017), new Period(Frequency.Semiannual),
new UnitedStates(UnitedStates.Market.GovernmentBond),
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted, DateGeneration.Rule.Backward, false);
FixedRateBond fixedRateBond = new FixedRateBond(
settlementDays,
faceAmount,
fixedBondSchedule,
new List<double>() { 0.045 },
new ActualActual(ActualActual.Convention.Bond),
BusinessDayConvention.ModifiedFollowing,
100.0, new Date(15, Month.May, 2007));
fixedRateBond.setPricingEngine(bondEngine);
// Floating rate bond (3M USD Libor + 0.1%)
// Should and will be priced on another curve later...
RelinkableHandle<YieldTermStructure> liborTermStructure = new RelinkableHandle<YieldTermStructure>();
IborIndex libor3m = new USDLibor(new Period(3, TimeUnit.Months), liborTermStructure);
libor3m.addFixing(new Date(17, Month.July, 2008),0.0278625);
Schedule floatingBondSchedule = new Schedule(new Date(21, Month.October, 2005),
new Date(21, Month.October, 2010), new Period(Frequency.Quarterly),
new UnitedStates(UnitedStates.Market.NYSE),
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted, DateGeneration.Rule.Backward, true);
FloatingRateBond floatingRateBond = new FloatingRateBond(
settlementDays,
faceAmount,
floatingBondSchedule,
libor3m,
new Actual360(),
BusinessDayConvention.ModifiedFollowing,
2,
// Gearings
new List<double>() { 1.0 },
// Spreads
new List<double>() { 0.001 },
// Caps
new List<double>(),
// Floors
new List<double>(),
// Fixing in arrears
true,
100.0,
new Date(21, Month.October, 2005));
floatingRateBond.setPricingEngine(bondEngine);
// Coupon pricers
IborCouponPricer pricer = new BlackIborCouponPricer();
// optionLet volatilities
double volatility = 0.0;
Handle<OptionletVolatilityStructure> vol;
vol = new Handle<OptionletVolatilityStructure>(
new ConstantOptionletVolatility(
settlementDays,
calendar,
BusinessDayConvention.ModifiedFollowing,
volatility,
new Actual365Fixed()));
pricer.setCapletVolatility(vol);
Utils.setCouponPricer(floatingRateBond.cashflows(),pricer);
// Yield curve bootstrapping
forecastingTermStructure.linkTo(depoSwapTermStructure);
discountingTermStructure.linkTo(bondDiscountingTermStructure);
// We are using the depo & swap curve to estimate the future Libor rates
liborTermStructure.linkTo(depoSwapTermStructure);
/***************
* BOND PRICING *
****************/
// write column headings
int[] widths = { 18, 10, 10, 10 };
Console.WriteLine("{0,18}{1,10}{2,10}{3,10}", "", "ZC", "Fixed", "Floating");
string separator = " | ";
int width = widths[0]
+ widths[1]
+ widths[2]
+ widths[3];
string rule = "".PadLeft(width, '-'), dblrule = "".PadLeft(width, '=');
string tab = "".PadLeft(8, ' ');
Console.WriteLine(rule);
Console.WriteLine("Net present value".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.NPV(),
fixedRateBond.NPV(),
floatingRateBond.NPV());
Console.WriteLine("Clean price".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.cleanPrice(),
fixedRateBond.cleanPrice(),
floatingRateBond.cleanPrice());
Console.WriteLine("Dirty price".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.dirtyPrice(),
fixedRateBond.dirtyPrice(),
floatingRateBond.dirtyPrice());
Console.WriteLine("Accrued coupon".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.accruedAmount(),
fixedRateBond.accruedAmount(),
floatingRateBond.accruedAmount());
Console.WriteLine("Previous coupon".PadLeft(widths[0]) + "{0,10:0.00%}{1,10:0.00%}{2,10:0.00%}",
"N/A",
fixedRateBond.previousCoupon(),
floatingRateBond.previousCoupon());
Console.WriteLine("Next coupon".PadLeft(widths[0]) + "{0,10:0.00%}{1,10:0.00%}{2,10:0.00%}",
"N/A",
fixedRateBond.nextCoupon(),
floatingRateBond.nextCoupon());
Console.WriteLine("Yield".PadLeft(widths[0]) + "{0,10:0.00%}{1,10:0.00%}{2,10:0.00%}",
zeroCouponBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual),
fixedRateBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual),
floatingRateBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual));
Console.WriteLine();
// Other computations
Console.WriteLine("Sample indirect computations (for the floating rate bond): ");
Console.WriteLine(rule);
Console.WriteLine("Yield to Clean Price: {0:n2}",
floatingRateBond.cleanPrice(floatingRateBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual),
new Actual360(), Compounding.Compounded, Frequency.Annual,
settlementDate));
Console.WriteLine("Clean Price to Yield: {0:0.00%}",
floatingRateBond.yield(floatingRateBond.cleanPrice(),new Actual360(), Compounding.Compounded, Frequency.Annual,
settlementDate));
/* "Yield to Price"
"Price to Yield" */
Console.WriteLine(" \nRun completed in {0}", DateTime.Now - timer);
Console.WriteLine();
Console.Write("Press any key to continue ...");
Console.ReadKey();
}
public void testImpliedValue()
{
// Testing implied bond value against asset-swap fair price with null spread
CommonVars vars = new CommonVars();
Calendar bondCalendar = new TARGET();
int settlementDays = 3;
int fixingDays = 2;
bool payFixedRate = true;
bool parAssetSwap = true;
bool inArrears = false;
// Fixed Underlying bond (Isin: DE0001135275 DBR 4 01/04/37)
// maturity doesn't occur on a business day
Schedule fixedBondSchedule1 = new Schedule( new Date(4,Month.January,2005),
new Date(4,Month.January,2037),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond fixedBond1 = new FixedRateBond(settlementDays, vars.faceAmount,
fixedBondSchedule1,
new List<double>(){0.04},
new ActualActual(ActualActual.Convention.ISDA),
BusinessDayConvention.Following,
100.0, new Date(4,Month.January,2005));
IPricingEngine bondEngine = new DiscountingBondEngine(vars.termStructure);
IPricingEngine swapEngine = new DiscountingSwapEngine(vars.termStructure);
fixedBond1.setPricingEngine(bondEngine);
double fixedBondPrice1 = fixedBond1.cleanPrice();
AssetSwap fixedBondAssetSwap1 = new AssetSwap(payFixedRate, fixedBond1, fixedBondPrice1, vars.iborIndex, vars.spread,
null, vars.iborIndex.dayCounter(), parAssetSwap);
fixedBondAssetSwap1.setPricingEngine(swapEngine);
double fixedBondAssetSwapPrice1 = fixedBondAssetSwap1.fairCleanPrice();
double tolerance = 1.0e-13;
double error1 = Math.Abs(fixedBondAssetSwapPrice1-fixedBondPrice1);
if (error1>tolerance) {
Assert.Fail("wrong zero spread asset swap price for fixed bond:" +
"\n bond's clean price: " + fixedBondPrice1 +
"\n asset swap fair price: " + fixedBondAssetSwapPrice1 +
"\n error: " + error1 +
"\n tolerance: " + tolerance);
}
// Fixed Underlying bond (Isin: IT0006527060 IBRD 5 02/05/19)
// maturity occurs on a business day
Schedule fixedBondSchedule2 = new Schedule( new Date(5,Month.February,2005),
new Date(5,Month.February,2019),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond fixedBond2 = new FixedRateBond(settlementDays, vars.faceAmount,
fixedBondSchedule2,
new List<double>(){0.05},
new Thirty360(Thirty360.Thirty360Convention.BondBasis),
BusinessDayConvention.Following,
100.0, new Date(5,Month.February,2005));
fixedBond2.setPricingEngine(bondEngine);
double fixedBondPrice2 = fixedBond2.cleanPrice();
AssetSwap fixedBondAssetSwap2 = new AssetSwap(payFixedRate, fixedBond2, fixedBondPrice2, vars.iborIndex, vars.spread,
null, vars.iborIndex.dayCounter(), parAssetSwap);
fixedBondAssetSwap2.setPricingEngine(swapEngine);
double fixedBondAssetSwapPrice2 = fixedBondAssetSwap2.fairCleanPrice();
double error2 = Math.Abs(fixedBondAssetSwapPrice2-fixedBondPrice2);
if (error2>tolerance) {
Assert.Fail("wrong zero spread asset swap price for fixed bond:" +
"\n bond's clean price: " + fixedBondPrice2 +
"\n asset swap fair price: " + fixedBondAssetSwapPrice2 +
"\n error: " + error2 +
"\n tolerance: " + tolerance);
}
// FRN Underlying bond (Isin: IT0003543847 ISPIM 0 09/29/13)
// maturity doesn't occur on a business day
Schedule floatingBondSchedule1 = new Schedule( new Date(29,Month.September,2003),
new Date(29,Month.September,2013),
new Period(Frequency.Semiannual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond floatingBond1 = new FloatingRateBond(settlementDays, vars.faceAmount,
floatingBondSchedule1,
vars.iborIndex, new Actual360(),
BusinessDayConvention.Following, fixingDays,
new List<double>(){1},
new List<double>(){0.0056},
new List<double>(),
new List<double>(),
inArrears,
100.0, new Date(29,Month.September,2003));
floatingBond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(floatingBond1.cashflows(), vars.pricer);
vars.iborIndex.addFixing(new Date(27,Month.March,2007), 0.0402);
double floatingBondPrice1 = floatingBond1.cleanPrice();
AssetSwap floatingBondAssetSwap1 = new AssetSwap(payFixedRate, floatingBond1, floatingBondPrice1, vars.iborIndex, vars.spread,
null, vars.iborIndex.dayCounter(), parAssetSwap);
floatingBondAssetSwap1.setPricingEngine(swapEngine);
double floatingBondAssetSwapPrice1 = floatingBondAssetSwap1.fairCleanPrice();
double error3 = Math.Abs(floatingBondAssetSwapPrice1-floatingBondPrice1);
if (error3>tolerance) {
Assert.Fail("wrong zero spread asset swap price for floater:" +
"\n bond's clean price: " + floatingBondPrice1 +
"\n asset swap fair price: " + floatingBondAssetSwapPrice1 +
"\n error: " + error3 +
"\n tolerance: " + tolerance);
}
// FRN Underlying bond (Isin: XS0090566539 COE 0 09/24/18)
// maturity occurs on a business day
Schedule floatingBondSchedule2 = new Schedule( new Date(24,Month.September,2004),
new Date(24,Month.September,2018),
new Period(Frequency.Semiannual), bondCalendar,
BusinessDayConvention.ModifiedFollowing, BusinessDayConvention.ModifiedFollowing,
DateGeneration.Rule.Backward, false);
Bond floatingBond2 = new FloatingRateBond( settlementDays, vars.faceAmount,
floatingBondSchedule2,
vars.iborIndex, new Actual360(),
BusinessDayConvention.ModifiedFollowing, fixingDays,
new List<double>(){1},
new List<double>(){0.0025},
new List<double>(),
new List<double>(),
inArrears,
100.0, new Date(24,Month.September,2004));
floatingBond2.setPricingEngine(bondEngine);
Utils.setCouponPricer(floatingBond2.cashflows(), vars.pricer);
vars.iborIndex.addFixing( new Date(22,Month.March,2007), 0.04013);
double currentCoupon=0.04013+0.0025;
double floatingCurrentCoupon= floatingBond2.nextCouponRate();
double error4= Math.Abs(floatingCurrentCoupon-currentCoupon);
if (error4>tolerance) {
Assert.Fail("wrong current coupon is returned for floater bond:" +
"\n bond's calculated current coupon: " +
currentCoupon +
"\n current coupon asked to the bond: " +
floatingCurrentCoupon +
"\n error: " + error4 +
"\n tolerance: " + tolerance);
}
double floatingBondPrice2 = floatingBond2.cleanPrice();
AssetSwap floatingBondAssetSwap2 = new AssetSwap(payFixedRate,floatingBond2, floatingBondPrice2, vars.iborIndex, vars.spread,
null, vars.iborIndex.dayCounter(), parAssetSwap);
floatingBondAssetSwap2.setPricingEngine(swapEngine);
double floatingBondAssetSwapPrice2 = floatingBondAssetSwap2.fairCleanPrice();
double error5 = Math.Abs(floatingBondAssetSwapPrice2-floatingBondPrice2);
if (error5>tolerance) {
Assert.Fail("wrong zero spread asset swap price for floater:" +
"\n bond's clean price: " + floatingBondPrice2 +
"\n asset swap fair price: " + floatingBondAssetSwapPrice2 +
"\n error: " + error5 +
"\n tolerance: " + tolerance);
}
// CMS Underlying bond (Isin: XS0228052402 CRDIT 0 8/22/20)
// maturity doesn't occur on a business day
Schedule cmsBondSchedule1 = new Schedule( new Date(22,Month.August,2005),
new Date(22,Month.August,2020),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond cmsBond1 = new CmsRateBond(settlementDays, vars.faceAmount,
cmsBondSchedule1,
vars.swapIndex, new Thirty360(),
BusinessDayConvention.Following, fixingDays,
new List<double>(){1.0},
new List<double>(){0.0},
new List<double>(){0.055},
new List<double>(){0.025},
inArrears,
100.0, new Date(22,Month.August,2005));
cmsBond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(cmsBond1.cashflows(), vars.cmspricer);
vars.swapIndex.addFixing( new Date(18,Month.August,2006), 0.04158);
double cmsBondPrice1 = cmsBond1.cleanPrice();
AssetSwap cmsBondAssetSwap1 = new AssetSwap(payFixedRate, cmsBond1, cmsBondPrice1, vars.iborIndex, vars.spread,
null,vars.iborIndex.dayCounter(), parAssetSwap);
cmsBondAssetSwap1.setPricingEngine(swapEngine);
double cmsBondAssetSwapPrice1 = cmsBondAssetSwap1.fairCleanPrice();
double error6 = Math.Abs(cmsBondAssetSwapPrice1-cmsBondPrice1);
if (error6>tolerance) {
Assert.Fail("wrong zero spread asset swap price for cms bond:" +
"\n bond's clean price: " + cmsBondPrice1 +
"\n asset swap fair price: " + cmsBondAssetSwapPrice1 +
"\n error: " + error6 +
"\n tolerance: " + tolerance);
}
// CMS Underlying bond (Isin: XS0218766664 ISPIM 0 5/6/15)
// maturity occurs on a business day
Schedule cmsBondSchedule2 = new Schedule( new Date(06,Month.May,2005),
new Date(06,Month.May,2015),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond cmsBond2 = new CmsRateBond(settlementDays, vars.faceAmount, cmsBondSchedule2,
vars.swapIndex, new Thirty360(),
BusinessDayConvention.Following, fixingDays,
new List<double>(){0.84}, new List<double>(){0.0},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(06,Month.May,2005));
cmsBond2.setPricingEngine(bondEngine);
Utils.setCouponPricer(cmsBond2.cashflows(), vars.cmspricer);
vars.swapIndex.addFixing( new Date(04,Month.May,2006), 0.04217);
double cmsBondPrice2 = cmsBond2.cleanPrice();
AssetSwap cmsBondAssetSwap2 = new AssetSwap(payFixedRate,cmsBond2, cmsBondPrice2, vars.iborIndex, vars.spread,
null, vars.iborIndex.dayCounter(), parAssetSwap);
cmsBondAssetSwap2.setPricingEngine(swapEngine);
double cmsBondAssetSwapPrice2 = cmsBondAssetSwap2.fairCleanPrice();
double error7 = Math.Abs(cmsBondAssetSwapPrice2-cmsBondPrice2);
if (error7>tolerance) {
Assert.Fail("wrong zero spread asset swap price for cms bond:" +
"\n bond's clean price: " + cmsBondPrice2 +
"\n asset swap fair price: " + cmsBondAssetSwapPrice2 +
"\n error: " + error7 +
"\n tolerance: " + tolerance);
}
// Zero Coupon bond (Isin: DE0004771662 IBRD 0 12/20/15)
// maturity doesn't occur on a business day
Bond zeroCpnBond1 = new ZeroCouponBond(settlementDays, bondCalendar, vars.faceAmount,
new Date(20,Month.December,2015),
BusinessDayConvention.Following,
100.0, new Date(19,Month.December,1985));
zeroCpnBond1.setPricingEngine(bondEngine);
double zeroCpnBondPrice1 = zeroCpnBond1.cleanPrice();
AssetSwap zeroCpnAssetSwap1 = new AssetSwap(payFixedRate,zeroCpnBond1, zeroCpnBondPrice1, vars.iborIndex, vars.spread,
null, vars.iborIndex.dayCounter(), parAssetSwap);
zeroCpnAssetSwap1.setPricingEngine(swapEngine);
double zeroCpnBondAssetSwapPrice1 = zeroCpnAssetSwap1.fairCleanPrice();
double error8 = Math.Abs(cmsBondAssetSwapPrice1-cmsBondPrice1);
if (error8>tolerance) {
Assert.Fail("wrong zero spread asset swap price for zero cpn bond:" +
"\n bond's clean price: " + zeroCpnBondPrice1 +
"\n asset swap fair price: " + zeroCpnBondAssetSwapPrice1 +
"\n error: " + error8 +
"\n tolerance: " + tolerance);
}
// Zero Coupon bond (Isin: IT0001200390 ISPIM 0 02/17/28)
// maturity occurs on a business day
Bond zeroCpnBond2 = new ZeroCouponBond(settlementDays, bondCalendar, vars.faceAmount,
new Date(17,Month.February,2028),
BusinessDayConvention.Following,
100.0, new Date(17,Month.February,1998));
zeroCpnBond2.setPricingEngine(bondEngine);
double zeroCpnBondPrice2 = zeroCpnBond2.cleanPrice();
AssetSwap zeroCpnAssetSwap2 = new AssetSwap(payFixedRate, zeroCpnBond2, zeroCpnBondPrice2, vars.iborIndex, vars.spread,
null,vars.iborIndex.dayCounter(), parAssetSwap);
zeroCpnAssetSwap2.setPricingEngine(swapEngine);
double zeroCpnBondAssetSwapPrice2 = zeroCpnAssetSwap2.fairCleanPrice();
double error9 = Math.Abs(cmsBondAssetSwapPrice2-cmsBondPrice2);
if (error9>tolerance) {
Assert.Fail("wrong zero spread asset swap price for zero cpn bond:" +
"\n bond's clean price: " + zeroCpnBondPrice2 +
"\n asset swap fair price: " + zeroCpnBondAssetSwapPrice2 +
"\n error: " + error9 +
"\n tolerance: " + tolerance);
}
}
public void testSpecializedBondVsGenericBondUsingAsw()
{
// Testing asset-swap prices and spreads for specialized bond against equivalent generic bond...
CommonVars vars = new CommonVars();
Calendar bondCalendar = new TARGET();
int settlementDays = 3;
int fixingDays = 2;
bool payFixedRate = true;
bool parAssetSwap = true;
bool inArrears = false;
// Fixed bond (Isin: DE0001135275 DBR 4 01/04/37)
// maturity doesn't occur on a business day
Date fixedBondStartDate1 = new Date(4,Month.January,2005);
Date fixedBondMaturityDate1 = new Date(4,Month.January,2037);
Schedule fixedBondSchedule1 = new Schedule(fixedBondStartDate1,
fixedBondMaturityDate1,
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
List<CashFlow> fixedBondLeg1 = new FixedRateLeg(fixedBondSchedule1)
.withCouponRates(0.04, new ActualActual(ActualActual.Convention.ISDA))
.withNotionals(vars.faceAmount);
Date fixedbondRedemption1 = bondCalendar.adjust(fixedBondMaturityDate1, BusinessDayConvention.Following);
fixedBondLeg1.Add(new SimpleCashFlow(100.0, fixedbondRedemption1));
// generic bond
Bond fixedBond1 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
fixedBondMaturityDate1, fixedBondStartDate1, fixedBondLeg1);
IPricingEngine bondEngine = new DiscountingBondEngine(vars.termStructure);
IPricingEngine swapEngine = new DiscountingSwapEngine(vars.termStructure);
fixedBond1.setPricingEngine(bondEngine);
// equivalent specialized fixed rate bond
Bond fixedSpecializedBond1 = new FixedRateBond(settlementDays, vars.faceAmount, fixedBondSchedule1,
new List<double>{0.04},
new ActualActual(ActualActual.Convention.ISDA), BusinessDayConvention.Following,
100.0, new Date(4,Month.January,2005));
fixedSpecializedBond1.setPricingEngine(bondEngine);
double fixedBondPrice1 = fixedBond1.cleanPrice();
double fixedSpecializedBondPrice1 = fixedSpecializedBond1.cleanPrice();
AssetSwap fixedBondAssetSwap1 = new AssetSwap(payFixedRate,
fixedBond1, fixedBondPrice1,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedBondAssetSwap1.setPricingEngine(swapEngine);
AssetSwap fixedSpecializedBondAssetSwap1 = new AssetSwap(payFixedRate,
fixedSpecializedBond1,
fixedSpecializedBondPrice1,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedSpecializedBondAssetSwap1.setPricingEngine(swapEngine);
double fixedBondAssetSwapPrice1 = fixedBondAssetSwap1.fairCleanPrice();
double fixedSpecializedBondAssetSwapPrice1 =
fixedSpecializedBondAssetSwap1.fairCleanPrice();
double tolerance = 1.0e-13;
double error1 =
Math.Abs(fixedBondAssetSwapPrice1-fixedSpecializedBondAssetSwapPrice1);
if (error1>tolerance) {
Assert.Fail("wrong clean price for fixed bond:"
+ "\n generic fixed rate bond's clean price: "
+ fixedBondAssetSwapPrice1
+ "\n equivalent specialized bond's clean price: "
+ fixedSpecializedBondAssetSwapPrice1
+ "\n error: " + error1
+ "\n tolerance: " + tolerance);
}
// market executable price as of 4th sept 2007
double fixedBondMktPrice1= 91.832;
AssetSwap fixedBondASW1 = new AssetSwap(payFixedRate,
fixedBond1, fixedBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedBondASW1.setPricingEngine(swapEngine);
AssetSwap fixedSpecializedBondASW1 = new AssetSwap(payFixedRate,
fixedSpecializedBond1,
fixedBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedSpecializedBondASW1.setPricingEngine(swapEngine);
double fixedBondASWSpread1 = fixedBondASW1.fairSpread();
double fixedSpecializedBondASWSpread1 = fixedSpecializedBondASW1.fairSpread();
double error2 = Math.Abs(fixedBondASWSpread1-fixedSpecializedBondASWSpread1);
if (error2>tolerance) {
Assert.Fail("wrong asw spread for fixed bond:"
+ "\n generic fixed rate bond's asw spread: "
+ fixedBondASWSpread1
+ "\n equivalent specialized bond's asw spread: "
+ fixedSpecializedBondASWSpread1
+ "\n error: " + error2
+ "\n tolerance: " + tolerance);
}
//Fixed bond (Isin: IT0006527060 IBRD 5 02/05/19)
//maturity occurs on a business day
Date fixedBondStartDate2 = new Date(5,Month.February,2005);
Date fixedBondMaturityDate2 = new Date(5,Month.February,2019);
Schedule fixedBondSchedule2= new Schedule(fixedBondStartDate2,
fixedBondMaturityDate2,
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
List<CashFlow> fixedBondLeg2 = new FixedRateLeg(fixedBondSchedule2)
.withCouponRates(0.05, new Thirty360(Thirty360.Thirty360Convention.BondBasis))
.withNotionals(vars.faceAmount);
Date fixedbondRedemption2 = bondCalendar.adjust(fixedBondMaturityDate2, BusinessDayConvention.Following);
fixedBondLeg2.Add(new SimpleCashFlow(100.0, fixedbondRedemption2));
// generic bond
Bond fixedBond2 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
fixedBondMaturityDate2, fixedBondStartDate2, fixedBondLeg2);
fixedBond2.setPricingEngine(bondEngine);
// equivalent specialized fixed rate bond
Bond fixedSpecializedBond2 = new FixedRateBond(settlementDays, vars.faceAmount, fixedBondSchedule2,
new List<double>{ 0.05},
new Thirty360(Thirty360.Thirty360Convention.BondBasis), BusinessDayConvention.Following,
100.0, new Date(5,Month.February,2005));
fixedSpecializedBond2.setPricingEngine(bondEngine);
double fixedBondPrice2 = fixedBond2.cleanPrice();
double fixedSpecializedBondPrice2 = fixedSpecializedBond2.cleanPrice();
AssetSwap fixedBondAssetSwap2 = new AssetSwap(payFixedRate,
fixedBond2, fixedBondPrice2,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedBondAssetSwap2.setPricingEngine(swapEngine);
AssetSwap fixedSpecializedBondAssetSwap2 = new AssetSwap(payFixedRate,
fixedSpecializedBond2,
fixedSpecializedBondPrice2,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedSpecializedBondAssetSwap2.setPricingEngine(swapEngine);
double fixedBondAssetSwapPrice2 = fixedBondAssetSwap2.fairCleanPrice();
double fixedSpecializedBondAssetSwapPrice2 = fixedSpecializedBondAssetSwap2.fairCleanPrice();
double error3 = Math.Abs(fixedBondAssetSwapPrice2-fixedSpecializedBondAssetSwapPrice2);
if (error3>tolerance) {
Assert.Fail("wrong clean price for fixed bond:"
+ "\n generic fixed rate bond's clean price: "
+ fixedBondAssetSwapPrice2
+ "\n equivalent specialized bond's clean price: "
+ fixedSpecializedBondAssetSwapPrice2
+ "\n error: " + error3
+ "\n tolerance: " + tolerance);
}
// market executable price as of 4th sept 2007
double fixedBondMktPrice2= 102.178;
AssetSwap fixedBondASW2 = new AssetSwap(payFixedRate,
fixedBond2, fixedBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedBondASW2.setPricingEngine(swapEngine);
AssetSwap fixedSpecializedBondASW2 = new AssetSwap(payFixedRate,
fixedSpecializedBond2,
fixedBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
fixedSpecializedBondASW2.setPricingEngine(swapEngine);
double fixedBondASWSpread2 = fixedBondASW2.fairSpread();
double fixedSpecializedBondASWSpread2 = fixedSpecializedBondASW2.fairSpread();
double error4 = Math.Abs(fixedBondASWSpread2-fixedSpecializedBondASWSpread2);
if (error4>tolerance) {
Assert.Fail("wrong asw spread for fixed bond:"
+ "\n generic fixed rate bond's asw spread: "
+ fixedBondASWSpread2
+ "\n equivalent specialized bond's asw spread: "
+ fixedSpecializedBondASWSpread2
+ "\n error: " + error4
+ "\n tolerance: " + tolerance);
}
//FRN bond (Isin: IT0003543847 ISPIM 0 09/29/13)
//maturity doesn't occur on a business day
Date floatingBondStartDate1 = new Date(29,Month.September,2003);
Date floatingBondMaturityDate1 = new Date(29,Month.September,2013);
Schedule floatingBondSchedule1= new Schedule(floatingBondStartDate1,
floatingBondMaturityDate1,
new Period(Frequency.Semiannual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
List<CashFlow> floatingBondLeg1 = new IborLeg(floatingBondSchedule1, vars.iborIndex)
.withPaymentDayCounter(new Actual360())
.withFixingDays(fixingDays)
.withSpreads(0.0056)
.inArrears(inArrears)
.withNotionals(vars.faceAmount);
Date floatingbondRedemption1 = bondCalendar.adjust(floatingBondMaturityDate1, BusinessDayConvention.Following);
floatingBondLeg1.Add(new SimpleCashFlow(100.0, floatingbondRedemption1));
// generic bond
Bond floatingBond1 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
floatingBondMaturityDate1, floatingBondStartDate1, floatingBondLeg1);
floatingBond1.setPricingEngine(bondEngine);
// equivalent specialized floater
Bond floatingSpecializedBond1 = new FloatingRateBond(settlementDays, vars.faceAmount,
floatingBondSchedule1,
vars.iborIndex, new Actual360(),
BusinessDayConvention.Following, fixingDays,
new List<double>{1},
new List<double>{0.0056},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(29,Month.September,2003));
floatingSpecializedBond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(floatingBond1.cashflows(), vars.pricer);
Utils.setCouponPricer(floatingSpecializedBond1.cashflows(), vars.pricer);
vars.iborIndex.addFixing(new Date(27,Month.March,2007), 0.0402);
double floatingBondPrice1 = floatingBond1.cleanPrice();
double floatingSpecializedBondPrice1= floatingSpecializedBond1.cleanPrice();
AssetSwap floatingBondAssetSwap1= new AssetSwap(payFixedRate,
floatingBond1, floatingBondPrice1,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingBondAssetSwap1.setPricingEngine(swapEngine);
AssetSwap floatingSpecializedBondAssetSwap1= new AssetSwap(payFixedRate,
floatingSpecializedBond1,
floatingSpecializedBondPrice1,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingSpecializedBondAssetSwap1.setPricingEngine(swapEngine);
double floatingBondAssetSwapPrice1 = floatingBondAssetSwap1.fairCleanPrice();
double floatingSpecializedBondAssetSwapPrice1 =
floatingSpecializedBondAssetSwap1.fairCleanPrice();
double error5 =
Math.Abs(floatingBondAssetSwapPrice1-floatingSpecializedBondAssetSwapPrice1);
if (error5>tolerance) {
Assert.Fail("wrong clean price for frnbond:"
+ "\n generic frn rate bond's clean price: "
+ floatingBondAssetSwapPrice1
+ "\n equivalent specialized bond's price: "
+ floatingSpecializedBondAssetSwapPrice1
+ "\n error: " + error5
+ "\n tolerance: " + tolerance);
}
// market executable price as of 4th sept 2007
double floatingBondMktPrice1= 101.33;
AssetSwap floatingBondASW1= new AssetSwap(payFixedRate,
floatingBond1, floatingBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingBondASW1.setPricingEngine(swapEngine);
AssetSwap floatingSpecializedBondASW1= new AssetSwap(payFixedRate,
floatingSpecializedBond1,
floatingBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingSpecializedBondASW1.setPricingEngine(swapEngine);
double floatingBondASWSpread1 = floatingBondASW1.fairSpread();
double floatingSpecializedBondASWSpread1 =
floatingSpecializedBondASW1.fairSpread();
double error6 =
Math.Abs(floatingBondASWSpread1-floatingSpecializedBondASWSpread1);
if (error6>tolerance) {
Assert.Fail("wrong asw spread for fixed bond:"
+ "\n generic frn rate bond's asw spread: "
+ floatingBondASWSpread1
+ "\n equivalent specialized bond's asw spread: "
+ floatingSpecializedBondASWSpread1
+ "\n error: " + error6
+ "\n tolerance: " + tolerance);
}
//FRN bond (Isin: XS0090566539 COE 0 09/24/18)
//maturity occurs on a business day
Date floatingBondStartDate2 = new Date(24,Month.September,2004);
Date floatingBondMaturityDate2 = new Date(24,Month.September,2018);
Schedule floatingBondSchedule2= new Schedule(floatingBondStartDate2,
floatingBondMaturityDate2,
new Period(Frequency.Semiannual), bondCalendar,
BusinessDayConvention.ModifiedFollowing, BusinessDayConvention.ModifiedFollowing,
DateGeneration.Rule.Backward, false);
List<CashFlow> floatingBondLeg2 = new IborLeg(floatingBondSchedule2, vars.iborIndex)
.withPaymentDayCounter(new Actual360())
.withFixingDays(fixingDays)
.withSpreads(0.0025)
.inArrears(inArrears)
.withPaymentAdjustment(BusinessDayConvention.ModifiedFollowing)
.withNotionals(vars.faceAmount);
Date floatingbondRedemption2 = bondCalendar.adjust(floatingBondMaturityDate2, BusinessDayConvention.ModifiedFollowing);
floatingBondLeg2.Add(new SimpleCashFlow(100.0, floatingbondRedemption2));
// generic bond
Bond floatingBond2 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
floatingBondMaturityDate2, floatingBondStartDate2,floatingBondLeg2);
floatingBond2.setPricingEngine(bondEngine);
// equivalent specialized floater
Bond floatingSpecializedBond2 = new FloatingRateBond(settlementDays, vars.faceAmount,
floatingBondSchedule2,
vars.iborIndex, new Actual360(),
BusinessDayConvention.ModifiedFollowing, fixingDays,
new List<double>{1},
new List<double>{0.0025},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(24,Month.September,2004));
floatingSpecializedBond2.setPricingEngine(bondEngine);
Utils.setCouponPricer(floatingBond2.cashflows(), vars.pricer);
Utils.setCouponPricer(floatingSpecializedBond2.cashflows(), vars.pricer);
vars.iborIndex.addFixing(new Date(22,Month.March,2007), 0.04013);
double floatingBondPrice2 = floatingBond2.cleanPrice();
double floatingSpecializedBondPrice2= floatingSpecializedBond2.cleanPrice();
AssetSwap floatingBondAssetSwap2= new AssetSwap(payFixedRate,
floatingBond2, floatingBondPrice2,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingBondAssetSwap2.setPricingEngine(swapEngine);
AssetSwap floatingSpecializedBondAssetSwap2= new AssetSwap(payFixedRate,
floatingSpecializedBond2,
floatingSpecializedBondPrice2,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingSpecializedBondAssetSwap2.setPricingEngine(swapEngine);
double floatingBondAssetSwapPrice2 = floatingBondAssetSwap2.fairCleanPrice();
double floatingSpecializedBondAssetSwapPrice2 =
floatingSpecializedBondAssetSwap2.fairCleanPrice();
double error7 =
Math.Abs(floatingBondAssetSwapPrice2-floatingSpecializedBondAssetSwapPrice2);
if (error7>tolerance) {
Assert.Fail("wrong clean price for frnbond:"
+ "\n generic frn rate bond's clean price: "
+ floatingBondAssetSwapPrice2
+ "\n equivalent specialized frn bond's price: "
+ floatingSpecializedBondAssetSwapPrice2
+ "\n error: " + error7
+ "\n tolerance: " + tolerance);
}
// market executable price as of 4th sept 2007
double floatingBondMktPrice2 = 101.26;
AssetSwap floatingBondASW2= new AssetSwap(payFixedRate,
floatingBond2, floatingBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingBondASW2.setPricingEngine(swapEngine);
AssetSwap floatingSpecializedBondASW2= new AssetSwap(payFixedRate,
floatingSpecializedBond2,
floatingBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
floatingSpecializedBondASW2.setPricingEngine(swapEngine);
double floatingBondASWSpread2 = floatingBondASW2.fairSpread();
double floatingSpecializedBondASWSpread2 =
floatingSpecializedBondASW2.fairSpread();
double error8 =
Math.Abs(floatingBondASWSpread2-floatingSpecializedBondASWSpread2);
if (error8>tolerance) {
Assert.Fail("wrong asw spread for frn bond:"
+ "\n generic frn rate bond's asw spread: "
+ floatingBondASWSpread2
+ "\n equivalent specialized bond's asw spread: "
+ floatingSpecializedBondASWSpread2
+ "\n error: " + error8
+ "\n tolerance: " + tolerance);
}
// CMS bond (Isin: XS0228052402 CRDIT 0 8/22/20)
// maturity doesn't occur on a business day
Date cmsBondStartDate1 = new Date(22,Month.August,2005);
Date cmsBondMaturityDate1 = new Date(22,Month.August,2020);
Schedule cmsBondSchedule1= new Schedule(cmsBondStartDate1,
cmsBondMaturityDate1,
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
List<CashFlow> cmsBondLeg1 = new CmsLeg(cmsBondSchedule1, vars.swapIndex)
.withPaymentDayCounter(new Thirty360())
.withFixingDays(fixingDays)
.withCaps(0.055)
.withFloors(0.025)
.inArrears(inArrears)
.withNotionals(vars.faceAmount);
Date cmsbondRedemption1 = bondCalendar.adjust(cmsBondMaturityDate1, BusinessDayConvention.Following);
cmsBondLeg1.Add(new SimpleCashFlow(100.0, cmsbondRedemption1));
// generic cms bond
Bond cmsBond1 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
cmsBondMaturityDate1, cmsBondStartDate1, cmsBondLeg1);
cmsBond1.setPricingEngine(bondEngine);
// equivalent specialized cms bond
Bond cmsSpecializedBond1 = new CmsRateBond(settlementDays, vars.faceAmount, cmsBondSchedule1,
vars.swapIndex, new Thirty360(),
BusinessDayConvention.Following, fixingDays,
new List<double>{1.0}, new List<double>{0.0},
new List<double>{0.055}, new List<double>{0.025},
inArrears,
100.0, new Date(22,Month.August,2005));
cmsSpecializedBond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(cmsBond1.cashflows(), vars.cmspricer);
Utils.setCouponPricer(cmsSpecializedBond1.cashflows(), vars.cmspricer);
vars.swapIndex.addFixing(new Date(18,Month.August,2006), 0.04158);
double cmsBondPrice1 = cmsBond1.cleanPrice();
double cmsSpecializedBondPrice1 = cmsSpecializedBond1.cleanPrice();
AssetSwap cmsBondAssetSwap1= new AssetSwap(payFixedRate,cmsBond1, cmsBondPrice1,
vars.iborIndex, vars.nonnullspread,
null,vars.iborIndex.dayCounter(),
parAssetSwap);
cmsBondAssetSwap1.setPricingEngine(swapEngine);
AssetSwap cmsSpecializedBondAssetSwap1= new AssetSwap(payFixedRate,cmsSpecializedBond1,
cmsSpecializedBondPrice1,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsSpecializedBondAssetSwap1.setPricingEngine(swapEngine);
double cmsBondAssetSwapPrice1 = cmsBondAssetSwap1.fairCleanPrice();
double cmsSpecializedBondAssetSwapPrice1 =
cmsSpecializedBondAssetSwap1.fairCleanPrice();
double error9 =
Math.Abs(cmsBondAssetSwapPrice1-cmsSpecializedBondAssetSwapPrice1);
if (error9>tolerance) {
Assert.Fail("wrong clean price for cmsbond:"
+ "\n generic bond's clean price: "
+ cmsBondAssetSwapPrice1
+ "\n equivalent specialized cms rate bond's price: "
+ cmsSpecializedBondAssetSwapPrice1
+ "\n error: " + error9
+ "\n tolerance: " + tolerance);
}
double cmsBondMktPrice1 = 87.02;// market executable price as of 4th sept 2007
AssetSwap cmsBondASW1= new AssetSwap(payFixedRate,
cmsBond1, cmsBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsBondASW1.setPricingEngine(swapEngine);
AssetSwap cmsSpecializedBondASW1= new AssetSwap(payFixedRate,
cmsSpecializedBond1,
cmsBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsSpecializedBondASW1.setPricingEngine(swapEngine);
double cmsBondASWSpread1 = cmsBondASW1.fairSpread();
double cmsSpecializedBondASWSpread1 = cmsSpecializedBondASW1.fairSpread();
double error10 = Math.Abs(cmsBondASWSpread1-cmsSpecializedBondASWSpread1);
if (error10>tolerance) {
Assert.Fail("wrong asw spread for cm bond:"
+ "\n generic cms rate bond's asw spread: "
+ cmsBondASWSpread1
+ "\n equivalent specialized bond's asw spread: "
+ cmsSpecializedBondASWSpread1
+ "\n error: " + error10
+ "\n tolerance: " + tolerance);
}
//CMS bond (Isin: XS0218766664 ISPIM 0 5/6/15)
//maturity occurs on a business day
Date cmsBondStartDate2 = new Date(06,Month.May,2005);
Date cmsBondMaturityDate2 = new Date(06,Month.May,2015);
Schedule cmsBondSchedule2= new Schedule(cmsBondStartDate2,
cmsBondMaturityDate2,
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
List<CashFlow> cmsBondLeg2 = new CmsLeg(cmsBondSchedule2, vars.swapIndex)
.withPaymentDayCounter(new Thirty360())
.withFixingDays(fixingDays)
.withGearings(0.84)
.inArrears(inArrears)
.withNotionals(vars.faceAmount);
Date cmsbondRedemption2 = bondCalendar.adjust(cmsBondMaturityDate2,
BusinessDayConvention.Following);
cmsBondLeg2.Add(new SimpleCashFlow(100.0, cmsbondRedemption2));
// generic bond
Bond cmsBond2 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
cmsBondMaturityDate2, cmsBondStartDate2, cmsBondLeg2);
cmsBond2.setPricingEngine(bondEngine);
// equivalent specialized cms bond
Bond cmsSpecializedBond2 = new CmsRateBond(settlementDays, vars.faceAmount, cmsBondSchedule2,
vars.swapIndex, new Thirty360(),
BusinessDayConvention.Following, fixingDays,
new List<double>{0.84}, new List<double>{0.0},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(06,Month.May,2005));
cmsSpecializedBond2.setPricingEngine(bondEngine);
Utils.setCouponPricer(cmsBond2.cashflows(), vars.cmspricer);
Utils.setCouponPricer(cmsSpecializedBond2.cashflows(), vars.cmspricer);
vars.swapIndex.addFixing(new Date(04,Month.May,2006), 0.04217);
double cmsBondPrice2 = cmsBond2.cleanPrice();
double cmsSpecializedBondPrice2 = cmsSpecializedBond2.cleanPrice();
AssetSwap cmsBondAssetSwap2= new AssetSwap(payFixedRate,cmsBond2, cmsBondPrice2,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsBondAssetSwap2.setPricingEngine(swapEngine);
AssetSwap cmsSpecializedBondAssetSwap2= new AssetSwap(payFixedRate,cmsSpecializedBond2,
cmsSpecializedBondPrice2,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsSpecializedBondAssetSwap2.setPricingEngine(swapEngine);
double cmsBondAssetSwapPrice2 = cmsBondAssetSwap2.fairCleanPrice();
double cmsSpecializedBondAssetSwapPrice2 =
cmsSpecializedBondAssetSwap2.fairCleanPrice();
double error11 =
Math.Abs(cmsBondAssetSwapPrice2-cmsSpecializedBondAssetSwapPrice2);
if (error11>tolerance) {
Assert.Fail("wrong clean price for cmsbond:"
+ "\n generic bond's clean price: "
+ cmsBondAssetSwapPrice2
+ "\n equivalent specialized cms rate bond's price: "
+ cmsSpecializedBondAssetSwapPrice2
+ "\n error: " + error11
+ "\n tolerance: " + tolerance);
}
double cmsBondMktPrice2 = 94.35;// market executable price as of 4th sept 2007
AssetSwap cmsBondASW2= new AssetSwap(payFixedRate,
cmsBond2, cmsBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsBondASW2.setPricingEngine(swapEngine);
AssetSwap cmsSpecializedBondASW2= new AssetSwap(payFixedRate,
cmsSpecializedBond2,
cmsBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
cmsSpecializedBondASW2.setPricingEngine(swapEngine);
double cmsBondASWSpread2 = cmsBondASW2.fairSpread();
double cmsSpecializedBondASWSpread2 = cmsSpecializedBondASW2.fairSpread();
double error12 = Math.Abs(cmsBondASWSpread2-cmsSpecializedBondASWSpread2);
if (error12>tolerance) {
Assert.Fail("wrong asw spread for cm bond:"
+ "\n generic cms rate bond's asw spread: "
+ cmsBondASWSpread2
+ "\n equivalent specialized bond's asw spread: "
+ cmsSpecializedBondASWSpread2
+ "\n error: " + error12
+ "\n tolerance: " + tolerance);
}
// Zero-Coupon bond (Isin: DE0004771662 IBRD 0 12/20/15)
// maturity doesn't occur on a business day
Date zeroCpnBondStartDate1 = new Date(19,Month.December,1985);
Date zeroCpnBondMaturityDate1 = new Date(20,Month.December,2015);
Date zeroCpnBondRedemption1 = bondCalendar.adjust(zeroCpnBondMaturityDate1,
BusinessDayConvention.Following);
List<CashFlow> zeroCpnBondLeg1 = new List<CashFlow>{new SimpleCashFlow(100.0, zeroCpnBondRedemption1)};
// generic bond
Bond zeroCpnBond1 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
zeroCpnBondMaturityDate1, zeroCpnBondStartDate1, zeroCpnBondLeg1);
zeroCpnBond1.setPricingEngine(bondEngine);
// specialized zerocpn bond
Bond zeroCpnSpecializedBond1= new ZeroCouponBond(settlementDays, bondCalendar, vars.faceAmount,
new Date(20,Month.December,2015),
BusinessDayConvention.Following,
100.0, new Date(19,Month.December,1985));
zeroCpnSpecializedBond1.setPricingEngine(bondEngine);
double zeroCpnBondPrice1 = zeroCpnBond1.cleanPrice();
double zeroCpnSpecializedBondPrice1 = zeroCpnSpecializedBond1.cleanPrice();
AssetSwap zeroCpnBondAssetSwap1= new AssetSwap(payFixedRate,zeroCpnBond1,
zeroCpnBondPrice1,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnBondAssetSwap1.setPricingEngine(swapEngine);
AssetSwap zeroCpnSpecializedBondAssetSwap1= new AssetSwap(payFixedRate,
zeroCpnSpecializedBond1,
zeroCpnSpecializedBondPrice1,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnSpecializedBondAssetSwap1.setPricingEngine(swapEngine);
double zeroCpnBondAssetSwapPrice1 = zeroCpnBondAssetSwap1.fairCleanPrice();
double zeroCpnSpecializedBondAssetSwapPrice1 =
zeroCpnSpecializedBondAssetSwap1.fairCleanPrice();
double error13 =
Math.Abs(zeroCpnBondAssetSwapPrice1-zeroCpnSpecializedBondAssetSwapPrice1);
if (error13>tolerance) {
Assert.Fail("wrong clean price for zerocpn bond:"
+ "\n generic zero cpn bond's clean price: "
+ zeroCpnBondAssetSwapPrice1
+ "\n specialized equivalent bond's price: "
+ zeroCpnSpecializedBondAssetSwapPrice1
+ "\n error: " + error13
+ "\n tolerance: " + tolerance);
}
// market executable price as of 4th sept 2007
double zeroCpnBondMktPrice1 = 72.277;
AssetSwap zeroCpnBondASW1= new AssetSwap(payFixedRate,
zeroCpnBond1,zeroCpnBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnBondASW1.setPricingEngine(swapEngine);
AssetSwap zeroCpnSpecializedBondASW1= new AssetSwap(payFixedRate,
zeroCpnSpecializedBond1,
zeroCpnBondMktPrice1,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnSpecializedBondASW1.setPricingEngine(swapEngine);
double zeroCpnBondASWSpread1 = zeroCpnBondASW1.fairSpread();
double zeroCpnSpecializedBondASWSpread1 =
zeroCpnSpecializedBondASW1.fairSpread();
double error14 =
Math.Abs(zeroCpnBondASWSpread1-zeroCpnSpecializedBondASWSpread1);
if (error14>tolerance) {
Assert.Fail("wrong asw spread for zeroCpn bond:"
+ "\n generic zeroCpn bond's asw spread: "
+ zeroCpnBondASWSpread1
+ "\n equivalent specialized bond's asw spread: "
+ zeroCpnSpecializedBondASWSpread1
+ "\n error: " + error14
+ "\n tolerance: " + tolerance);
}
// Zero Coupon bond (Isin: IT0001200390 ISPIM 0 02/17/28)
// maturity doesn't occur on a business day
Date zeroCpnBondStartDate2 = new Date(17,Month.February,1998);
Date zeroCpnBondMaturityDate2 = new Date(17,Month.February,2028);
Date zerocpbondRedemption2 = bondCalendar.adjust(zeroCpnBondMaturityDate2,
BusinessDayConvention.Following);
List<CashFlow> zeroCpnBondLeg2 = new List<CashFlow>{new SimpleCashFlow(100.0, zerocpbondRedemption2)};
// generic bond
Bond zeroCpnBond2 = new Bond(settlementDays, bondCalendar, vars.faceAmount,
zeroCpnBondMaturityDate2, zeroCpnBondStartDate2, zeroCpnBondLeg2);
zeroCpnBond2.setPricingEngine(bondEngine);
// specialized zerocpn bond
Bond zeroCpnSpecializedBond2 = new ZeroCouponBond(settlementDays, bondCalendar, vars.faceAmount,
new Date(17,Month.February,2028),
BusinessDayConvention.Following,
100.0, new Date(17,Month.February,1998));
zeroCpnSpecializedBond2.setPricingEngine(bondEngine);
double zeroCpnBondPrice2 = zeroCpnBond2.cleanPrice();
double zeroCpnSpecializedBondPrice2 = zeroCpnSpecializedBond2.cleanPrice();
AssetSwap zeroCpnBondAssetSwap2= new AssetSwap(payFixedRate,zeroCpnBond2,
zeroCpnBondPrice2,
vars.iborIndex, vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnBondAssetSwap2.setPricingEngine(swapEngine);
AssetSwap zeroCpnSpecializedBondAssetSwap2= new AssetSwap(payFixedRate,
zeroCpnSpecializedBond2,
zeroCpnSpecializedBondPrice2,
vars.iborIndex,
vars.nonnullspread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnSpecializedBondAssetSwap2.setPricingEngine(swapEngine);
double zeroCpnBondAssetSwapPrice2 = zeroCpnBondAssetSwap2.fairCleanPrice();
double zeroCpnSpecializedBondAssetSwapPrice2 =
zeroCpnSpecializedBondAssetSwap2.fairCleanPrice();
double error15 = Math.Abs(zeroCpnBondAssetSwapPrice2
-zeroCpnSpecializedBondAssetSwapPrice2);
if (error15>tolerance) {
Assert.Fail("wrong clean price for zerocpn bond:"
+ "\n generic zero cpn bond's clean price: "
+ zeroCpnBondAssetSwapPrice2
+ "\n equivalent specialized bond's price: "
+ zeroCpnSpecializedBondAssetSwapPrice2
+ "\n error: " + error15
+ "\n tolerance: " + tolerance);
}
// market executable price as of 4th sept 2007
double zeroCpnBondMktPrice2 = 72.277;
AssetSwap zeroCpnBondASW2= new AssetSwap(payFixedRate,
zeroCpnBond2,zeroCpnBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnBondASW2.setPricingEngine(swapEngine);
AssetSwap zeroCpnSpecializedBondASW2= new AssetSwap(payFixedRate,
zeroCpnSpecializedBond2,
zeroCpnBondMktPrice2,
vars.iborIndex, vars.spread,
null,
vars.iborIndex.dayCounter(),
parAssetSwap);
zeroCpnSpecializedBondASW2.setPricingEngine(swapEngine);
double zeroCpnBondASWSpread2 = zeroCpnBondASW2.fairSpread();
double zeroCpnSpecializedBondASWSpread2 =
zeroCpnSpecializedBondASW2.fairSpread();
double error16 =
Math.Abs(zeroCpnBondASWSpread2-zeroCpnSpecializedBondASWSpread2);
if (error16>tolerance) {
Assert.Fail("wrong asw spread for zeroCpn bond:"
+ "\n generic zeroCpn bond's asw spread: "
+ zeroCpnBondASWSpread2
+ "\n equivalent specialized bond's asw spread: "
+ zeroCpnSpecializedBondASWSpread2
+ "\n error: " + error16
+ "\n tolerance: " + tolerance);
}
}
public void testZSpread()
{
// Testing clean and dirty price with null Z-spread against theoretical prices...
CommonVars vars = new CommonVars();
Calendar bondCalendar = new TARGET();
int settlementDays = 3;
int fixingDays = 2;
bool inArrears = false;
// Fixed bond (Isin: DE0001135275 DBR 4 01/04/37)
// maturity doesn't occur on a business day
Schedule fixedBondSchedule1 = new Schedule(new Date(4,Month.January,2005),
new Date(4,Month.January,2037),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond fixedBond1 = new FixedRateBond(settlementDays, vars.faceAmount, fixedBondSchedule1,
new List<double>{0.04},
new ActualActual(ActualActual.Convention.ISDA), BusinessDayConvention.Following,
100.0, new Date(4,Month.January,2005));
IPricingEngine bondEngine = new DiscountingBondEngine(vars.termStructure);
fixedBond1.setPricingEngine(bondEngine);
double fixedBondImpliedValue1 = fixedBond1.cleanPrice();
Date fixedBondSettlementDate1= fixedBond1.settlementDate();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YC...
double fixedBondCleanPrice1 = BondFunctions.cleanPrice( fixedBond1, vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Annual, fixedBondSettlementDate1);
double tolerance = 1.0e-13;
double error1 = Math.Abs(fixedBondImpliedValue1-fixedBondCleanPrice1);
if (error1>tolerance) {
Assert.Fail("wrong clean price for fixed bond:" +
"\n market asset swap spread: " +
fixedBondImpliedValue1 +
"\n par asset swap spread: " + fixedBondCleanPrice1 +
"\n error: " + error1 +
"\n tolerance: " + tolerance);
}
// Fixed bond (Isin: IT0006527060 IBRD 5 02/05/19)
// maturity occurs on a business day
Schedule fixedBondSchedule2 = new Schedule(new Date(5,Month.February,2005),
new Date(5,Month.February,2019),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond fixedBond2 = new FixedRateBond(settlementDays, vars.faceAmount, fixedBondSchedule2,
new List<double>{0.05},
new Thirty360(Thirty360.Thirty360Convention.BondBasis), BusinessDayConvention.Following,
100.0, new Date(5,Month.February,2005));
fixedBond2.setPricingEngine(bondEngine);
double fixedBondImpliedValue2 = fixedBond2.cleanPrice();
Date fixedBondSettlementDate2= fixedBond2.settlementDate();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double fixedBondCleanPrice2 = BondFunctions.cleanPrice(fixedBond2, vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Annual, fixedBondSettlementDate2);
double error3 = Math.Abs(fixedBondImpliedValue2-fixedBondCleanPrice2);
if (error3>tolerance) {
Assert.Fail("wrong clean price for fixed bond:" +
"\n market asset swap spread: " +
fixedBondImpliedValue2 +
"\n par asset swap spread: " + fixedBondCleanPrice2 +
"\n error: " + error3 +
"\n tolerance: " + tolerance);
}
// FRN bond (Isin: IT0003543847 ISPIM 0 09/29/13)
// maturity doesn't occur on a business day
Schedule floatingBondSchedule1 = new Schedule(new Date(29,Month.September,2003),
new Date(29,Month.September,2013),
new Period(Frequency.Semiannual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond floatingBond1 = new FloatingRateBond(settlementDays, vars.faceAmount,
floatingBondSchedule1,
vars.iborIndex, new Actual360(),
BusinessDayConvention.Following, fixingDays,
new List<double>{1}, new List<double>{0.0056},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(29,Month.September,2003));
floatingBond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(floatingBond1.cashflows(), vars.pricer);
vars.iborIndex.addFixing(new Date(27,Month.March,2007), 0.0402);
double floatingBondImpliedValue1 = floatingBond1.cleanPrice();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double floatingBondCleanPrice1 = BondFunctions.cleanPrice(floatingBond1, vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Semiannual, fixedBondSettlementDate1);
double error5 = Math.Abs(floatingBondImpliedValue1-floatingBondCleanPrice1);
if (error5>tolerance) {
Assert.Fail("wrong clean price for fixed bond:" +
"\n market asset swap spread: " +
floatingBondImpliedValue1 +
"\n par asset swap spread: " + floatingBondCleanPrice1 +
"\n error: " + error5 +
"\n tolerance: " + tolerance);
}
// FRN bond (Isin: XS0090566539 COE 0 09/24/18)
// maturity occurs on a business day
Schedule floatingBondSchedule2 = new Schedule(new Date(24,Month.September,2004),
new Date(24,Month.September,2018),
new Period(Frequency.Semiannual), bondCalendar,
BusinessDayConvention.ModifiedFollowing, BusinessDayConvention.ModifiedFollowing,
DateGeneration.Rule.Backward, false);
Bond floatingBond2 = new FloatingRateBond(settlementDays, vars.faceAmount,
floatingBondSchedule2,
vars.iborIndex, new Actual360(),
BusinessDayConvention.ModifiedFollowing, fixingDays,
new List<double>{1}, new List<double>{0.0025},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(24,Month.September,2004));
floatingBond2.setPricingEngine(bondEngine);
Utils.setCouponPricer(floatingBond2.cashflows(), vars.pricer);
vars.iborIndex.addFixing(new Date(22,Month.March,2007), 0.04013);
double floatingBondImpliedValue2 = floatingBond2.cleanPrice();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double floatingBondCleanPrice2 = BondFunctions.cleanPrice(floatingBond2, vars.termStructure,
vars.spread, new Actual365Fixed(), vars.compounding, Frequency.Semiannual, fixedBondSettlementDate1);
double error7 = Math.Abs(floatingBondImpliedValue2-floatingBondCleanPrice2);
if (error7>tolerance) {
Assert.Fail("wrong clean price for fixed bond:"
+ "\n market asset swap spread: " +
floatingBondImpliedValue2
+ "\n par asset swap spread: " + floatingBondCleanPrice2
+ "\n error: " + error7
+ "\n tolerance: " + tolerance);
}
//// CMS bond (Isin: XS0228052402 CRDIT 0 8/22/20)
//// maturity doesn't occur on a business day
Schedule cmsBondSchedule1 = new Schedule(new Date(22,Month.August,2005),
new Date(22,Month.August,2020),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond cmsBond1 = new CmsRateBond(settlementDays, vars.faceAmount, cmsBondSchedule1,
vars.swapIndex, new Thirty360(),
BusinessDayConvention.Following, fixingDays,
new List<double>{1.0}, new List<double>{0.0},
new List<double>{0.055}, new List<double>{0.025},
inArrears,
100.0, new Date(22,Month.August,2005));
cmsBond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(cmsBond1.cashflows(), vars.cmspricer);
vars.swapIndex.addFixing(new Date(18,Month.August,2006), 0.04158);
double cmsBondImpliedValue1 = cmsBond1.cleanPrice();
Date cmsBondSettlementDate1= cmsBond1.settlementDate();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double cmsBondCleanPrice1 = BondFunctions.cleanPrice(cmsBond1, vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Annual, cmsBondSettlementDate1);
double error9 = Math.Abs(cmsBondImpliedValue1-cmsBondCleanPrice1);
if (error9>tolerance) {
Assert.Fail("wrong clean price for fixed bond:"
+ "\n market asset swap spread: " + cmsBondImpliedValue1
+ "\n par asset swap spread: " + cmsBondCleanPrice1
+ "\n error: " + error9
+ "\n tolerance: " + tolerance);
}
// CMS bond (Isin: XS0218766664 ISPIM 0 5/6/15)
// maturity occurs on a business day
Schedule cmsBondSchedule2 = new Schedule(new Date(06,Month.May,2005),
new Date(06,Month.May,2015),
new Period(Frequency.Annual), bondCalendar,
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
Bond cmsBond2 = new CmsRateBond(settlementDays, vars.faceAmount, cmsBondSchedule2,
vars.swapIndex, new Thirty360(),
BusinessDayConvention.Following, fixingDays,
new List<double>{0.84}, new List<double>{0.0},
new List<double>(), new List<double>(),
inArrears,
100.0, new Date(06,Month.May,2005));
cmsBond2.setPricingEngine(bondEngine);
Utils.setCouponPricer(cmsBond2.cashflows(), vars.cmspricer);
vars.swapIndex.addFixing(new Date(04,Month.May,2006), 0.04217);
double cmsBondImpliedValue2 = cmsBond2.cleanPrice();
Date cmsBondSettlementDate2= cmsBond2.settlementDate();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double cmsBondCleanPrice2 = BondFunctions.cleanPrice(cmsBond2, vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Annual, cmsBondSettlementDate2);
double error11 = Math.Abs(cmsBondImpliedValue2-cmsBondCleanPrice2);
if (error11>tolerance) {
Assert.Fail("wrong clean price for fixed bond:"
+ "\n market asset swap spread: " + cmsBondImpliedValue2
+ "\n par asset swap spread: " + cmsBondCleanPrice2
+ "\n error: " + error11
+ "\n tolerance: " + tolerance);
}
// Zero-Coupon bond (Isin: DE0004771662 IBRD 0 12/20/15)
// maturity doesn't occur on a business day
Bond zeroCpnBond1 = new ZeroCouponBond(settlementDays, bondCalendar, vars.faceAmount,
new Date(20,Month.December,2015),
BusinessDayConvention.Following,
100.0, new Date(19,Month.December,1985));
zeroCpnBond1.setPricingEngine(bondEngine);
double zeroCpnBondImpliedValue1 = zeroCpnBond1.cleanPrice();
Date zeroCpnBondSettlementDate1= zeroCpnBond1.settlementDate();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double zeroCpnBondCleanPrice1 = BondFunctions.cleanPrice(zeroCpnBond1,vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Annual, zeroCpnBondSettlementDate1);
double error13 = Math.Abs(zeroCpnBondImpliedValue1-zeroCpnBondCleanPrice1);
if (error13>tolerance) {
Assert.Fail("wrong clean price for zero coupon bond:"
+ "\n zero cpn implied value: " +
zeroCpnBondImpliedValue1
+ "\n zero cpn price: " + zeroCpnBondCleanPrice1
+ "\n error: " + error13
+ "\n tolerance: " + tolerance);
}
// Zero Coupon bond (Isin: IT0001200390 ISPIM 0 02/17/28)
// maturity doesn't occur on a business day
Bond zeroCpnBond2 = new ZeroCouponBond(settlementDays, bondCalendar, vars.faceAmount,
new Date(17,Month.February,2028),
BusinessDayConvention.Following,
100.0, new Date(17,Month.February,1998));
zeroCpnBond2.setPricingEngine(bondEngine);
double zeroCpnBondImpliedValue2 = zeroCpnBond2.cleanPrice();
Date zeroCpnBondSettlementDate2= zeroCpnBond2.settlementDate();
// standard market conventions:
// bond's frequency + coumpounding and daycounter of the YieldCurve
double zeroCpnBondCleanPrice2 = BondFunctions.cleanPrice(zeroCpnBond2,vars.termStructure, vars.spread,
new Actual365Fixed(), vars.compounding, Frequency.Annual, zeroCpnBondSettlementDate2);
double error15 = Math.Abs(zeroCpnBondImpliedValue2-zeroCpnBondCleanPrice2);
if (error15>tolerance) {
Assert.Fail("wrong clean price for zero coupon bond:"
+ "\n zero cpn implied value: " +
zeroCpnBondImpliedValue2
+ "\n zero cpn price: " + zeroCpnBondCleanPrice2
+ "\n error: " + error15
+ "\n tolerance: " + tolerance);
}
}
public void testCachedFloating()
{
// "Testing floating-rate bond prices against cached values...");
CommonVars vars = new CommonVars();
Date today = new Date(22, Month.November, 2004);
Settings.setEvaluationDate(today);
int settlementDays = 1;
var riskFreeRate = new Handle<YieldTermStructure>(Utilities.flatRate(today, 0.025, new Actual360()));
var discountCurve = new Handle<YieldTermStructure>(Utilities.flatRate(today, 0.03, new Actual360()));
IborIndex index = new USDLibor(new Period(6, TimeUnit.Months), riskFreeRate);
int fixingDays = 1;
double tolerance = 1.0e-6;
IborCouponPricer pricer = new BlackIborCouponPricer(new Handle<OptionletVolatilityStructure>());
// plain
Schedule sch = new Schedule(new Date(30, Month.November, 2004), new Date(30, Month.November, 2008),
new Period(Frequency.Semiannual), new UnitedStates(UnitedStates.Market.GovernmentBond),
BusinessDayConvention.ModifiedFollowing, BusinessDayConvention.ModifiedFollowing,
DateGeneration.Rule.Backward, false);
FloatingRateBond bond1 = new FloatingRateBond(settlementDays, vars.faceAmount, sch,
index, new ActualActual(ActualActual.Convention.ISMA),
BusinessDayConvention.ModifiedFollowing, fixingDays,
new List<double>(), new List<double>(),
new List<double>(), new List<double>(),
false,
100.0, new Date(30, Month.November, 2004));
IPricingEngine bondEngine = new DiscountingBondEngine(riskFreeRate);
bond1.setPricingEngine(bondEngine);
Utils.setCouponPricer(bond1.cashflows(), pricer);
#if QL_USE_INDEXED_COUPON
double cachedPrice1 = 99.874645;
#else
double cachedPrice1 = 99.874646;
#endif
double price = bond1.cleanPrice();
if (Math.Abs(price - cachedPrice1) > tolerance)
{
Assert.Fail("failed to reproduce cached price:\n"
+ " calculated: " + price + "\n"
+ " expected: " + cachedPrice1 + "\n"
+ " error: " + (price - cachedPrice1));
}
// different risk-free and discount curve
FloatingRateBond bond2 = new FloatingRateBond(settlementDays, vars.faceAmount, sch,
index, new ActualActual(ActualActual.Convention.ISMA),
BusinessDayConvention.ModifiedFollowing, fixingDays,
new List<double>(), new List<double>(),
new List<double>(), new List<double>(),
false,
100.0, new Date(30, Month.November, 2004));
IPricingEngine bondEngine2 = new DiscountingBondEngine(discountCurve);
bond2.setPricingEngine(bondEngine2);
Utils.setCouponPricer(bond2.cashflows(), pricer);
#if QL_USE_INDEXED_COUPON
double cachedPrice2 = 97.955904;
#else
double cachedPrice2 = 97.955904;
#endif
price = bond2.cleanPrice();
if (Math.Abs(price - cachedPrice2) > tolerance)
{
Assert.Fail("failed to reproduce cached price:\n"
+ " calculated: " + price + "\n"
+ " expected: " + cachedPrice2 + "\n"
+ " error: " + (price - cachedPrice2));
}
// varying spread
InitializedList<double> spreads = new InitializedList<double>(4);
spreads[0] = 0.001;
spreads[1] = 0.0012;
spreads[2] = 0.0014;
spreads[3] = 0.0016;
FloatingRateBond bond3 = new FloatingRateBond(settlementDays, vars.faceAmount, sch,
index, new ActualActual(ActualActual.Convention.ISMA),
BusinessDayConvention.ModifiedFollowing, fixingDays,
new List<double>(), spreads,
new List<double>(), new List<double>(),
false,
100.0, new Date(30, Month.November, 2004));
bond3.setPricingEngine(bondEngine2);
Utils.setCouponPricer(bond3.cashflows(), pricer);
#if QL_USE_INDEXED_COUPON
double cachedPrice3 = 98.495458;
#else
double cachedPrice3 = 98.495459;
#endif
price = bond3.cleanPrice();
if (Math.Abs(price - cachedPrice3) > tolerance)
{
Assert.Fail("failed to reproduce cached price:\n"
+ " calculated: " + price + "\n"
+ " expected: " + cachedPrice3 + "\n"
+ " error: " + (price - cachedPrice3));
}
}