public VanillaSwap value()
{
Date startDate;
if (effectiveDate_ != null)
{
startDate = effectiveDate_;
}
else
{
int fixingDays = iborIndex_.fixingDays();
Date referenceDate = Settings.evaluationDate();
Date spotDate = floatCalendar_.advance(referenceDate, new Period(fixingDays, TimeUnit.Days));
startDate = spotDate + forwardStart_;
}
Date endDate;
if (terminationDate_ != null)
{
endDate = terminationDate_;
}
else
{
endDate = startDate + swapTenor_;
}
Schedule fixedSchedule = new Schedule(startDate, endDate,
fixedTenor_, fixedCalendar_,
fixedConvention_, fixedTerminationDateConvention_,
fixedRule_, fixedEndOfMonth_,
fixedFirstDate_, fixedNextToLastDate_);
Schedule floatSchedule = new Schedule(startDate, endDate,
floatTenor_, floatCalendar_,
floatConvention_, floatTerminationDateConvention_,
floatRule_, floatEndOfMonth_,
floatFirstDate_, floatNextToLastDate_);
double?usedFixedRate = fixedRate_;
if (fixedRate_ == null) // calculate a fair fixed rate if no fixed rate is provided
{
if (iborIndex_.forwardingTermStructure().empty())
{
throw new ArgumentException("no forecasting term structure set to " + iborIndex_.name());
}
VanillaSwap temp = new VanillaSwap(type_, nominal_, fixedSchedule, 0.0, fixedDayCount_,
floatSchedule, iborIndex_, floatSpread_, floatDayCount_);
temp.setPricingEngine(new DiscountingSwapEngine(iborIndex_.forwardingTermStructure()));
usedFixedRate = temp.fairRate();
}
VanillaSwap swap = new VanillaSwap(type_, nominal_, fixedSchedule, usedFixedRate.Value, fixedDayCount_,
floatSchedule, iborIndex_, floatSpread_, floatDayCount_);
swap.setPricingEngine(engine_);
return(swap);
}
public Swaption value()
{
Date evaluationDate = Settings.evaluationDate();
Calendar fixingCalendar = swapIndex_.fixingCalendar();
fixingDate_ = fixingCalendar.advance(evaluationDate, optionTenor_, optionConvention_);
if (exerciseDate_ == null)
{
exercise_ = new EuropeanExercise(fixingDate_);
}
else
{
if (exerciseDate_ <= fixingDate_)
{
throw new ArgumentException(
"exercise date (" + exerciseDate_ + ") must be less " +
"than or equal to fixing date (" + fixingDate_ + ")");
}
exercise_ = new EuropeanExercise(exerciseDate_);
}
double usedStrike;
if (strike_ == null)
{
// ATM on the forecasting curve
if (!swapIndex_.forwardingTermStructure().empty())
{
throw new ArgumentException(
"no forecasting term structure set to " + swapIndex_.name());
}
VanillaSwap temp =
swapIndex_.underlyingSwap(fixingDate_);
temp.setPricingEngine(new DiscountingSwapEngine(
swapIndex_.forwardingTermStructure()));
usedStrike = temp.fairRate();
}
else
{
usedStrike = strike_.Value;
}
BusinessDayConvention bdc = swapIndex_.fixedLegConvention();
underlyingSwap_ = new MakeVanillaSwap(swapIndex_.tenor(),
swapIndex_.iborIndex(),
usedStrike)
.withEffectiveDate(swapIndex_.valueDate(fixingDate_))
.withFixedLegCalendar(swapIndex_.fixingCalendar())
.withFixedLegDayCount(swapIndex_.dayCounter())
.withFixedLegConvention(bdc)
.withFixedLegTerminationDateConvention(bdc);
Swaption swaption = new Swaption(underlyingSwap_, exercise_, delivery_);
swaption.setPricingEngine(engine_);
return(swaption);
}
public SwaptionHelper(Period maturity,
Period length,
Handle <Quote> volatility,
IborIndex index,
Period fixedLegTenor,
DayCounter fixedLegDayCounter,
DayCounter floatingLegDayCounter,
Handle <YieldTermStructure> termStructure,
bool calibrateVolatility /*= false*/)
: base(volatility, termStructure, calibrateVolatility)
{
Calendar calendar = index.fixingCalendar();
Period indexTenor = index.tenor();
int fixingDays = index.fixingDays();
Date exerciseDate = calendar.advance(termStructure.link.referenceDate(),
maturity,
index.businessDayConvention());
Date startDate = calendar.advance(exerciseDate,
fixingDays, TimeUnit.Days,
index.businessDayConvention());
Date endDate = calendar.advance(startDate, length,
index.businessDayConvention());
Schedule fixedSchedule = new Schedule(startDate, endDate, fixedLegTenor, calendar,
index.businessDayConvention(),
index.businessDayConvention(),
DateGeneration.Rule.Forward, false);
Schedule floatSchedule = new Schedule(startDate, endDate, index.tenor(), calendar,
index.businessDayConvention(),
index.businessDayConvention(),
DateGeneration.Rule.Forward, false);
IPricingEngine swapEngine = new DiscountingSwapEngine(termStructure);
VanillaSwap temp = new VanillaSwap(VanillaSwap.Type.Receiver, 1.0,
fixedSchedule, 0.0, fixedLegDayCounter,
floatSchedule, index, 0.0, floatingLegDayCounter);
temp.setPricingEngine(swapEngine);
exerciseRate_ = temp.fairRate();
swap_ = new VanillaSwap(VanillaSwap.Type.Receiver, 1.0,
fixedSchedule, exerciseRate_, fixedLegDayCounter,
floatSchedule, index, 0.0, floatingLegDayCounter);
swap_.setPricingEngine(swapEngine);
Exercise exercise = new EuropeanExercise(exerciseDate);
swaption_ = new Swaption(swap_, exercise);
marketValue_ = blackPrice(volatility_.link.value());
}
public SwaptionHelper(Period maturity,
Period length,
Handle<Quote> volatility,
IborIndex index,
Period fixedLegTenor,
DayCounter fixedLegDayCounter,
DayCounter floatingLegDayCounter,
Handle<YieldTermStructure> termStructure,
bool calibrateVolatility /*= false*/)
: base(volatility,termStructure, calibrateVolatility)
{
Calendar calendar = index.fixingCalendar();
Period indexTenor = index.tenor();
int fixingDays = index.fixingDays();
Date exerciseDate = calendar.advance(termStructure.link.referenceDate(),
maturity,
index.businessDayConvention());
Date startDate = calendar.advance(exerciseDate,
fixingDays, TimeUnit.Days,
index.businessDayConvention());
Date endDate = calendar.advance(startDate, length,
index.businessDayConvention());
Schedule fixedSchedule=new Schedule(startDate, endDate, fixedLegTenor, calendar,
index.businessDayConvention(),
index.businessDayConvention(),
DateGeneration.Rule.Forward, false);
Schedule floatSchedule=new Schedule(startDate, endDate, index.tenor(), calendar,
index.businessDayConvention(),
index.businessDayConvention(),
DateGeneration.Rule.Forward, false);
IPricingEngine swapEngine=new DiscountingSwapEngine(termStructure);
VanillaSwap temp=new VanillaSwap(VanillaSwap.Type.Receiver, 1.0,
fixedSchedule, 0.0, fixedLegDayCounter,
floatSchedule, index, 0.0, floatingLegDayCounter);
temp.setPricingEngine(swapEngine);
exerciseRate_ = temp.fairRate();
swap_ = new VanillaSwap(VanillaSwap.Type.Receiver, 1.0,
fixedSchedule, exerciseRate_, fixedLegDayCounter,
floatSchedule, index, 0.0, floatingLegDayCounter);
swap_.setPricingEngine(swapEngine);
Exercise exercise=new EuropeanExercise(exerciseDate);
swaption_ = new Swaption(swap_, exercise);
marketValue_ = blackPrice(volatility_.link.value());
}
//===========================================================================//
// GFunctionWithShifts //
//===========================================================================//
public GFunctionWithShifts(CmsCoupon coupon, Handle <Quote> meanReversion)
{
meanReversion_ = meanReversion;
calibratedShift_ = 0.03;
tmpRs_ = 10000000.0;
accuracy_ = 1.0e-14;
SwapIndex swapIndex = coupon.swapIndex();
VanillaSwap swap = swapIndex.underlyingSwap(coupon.fixingDate());
swapRateValue_ = swap.fairRate();
objectiveFunction_ = new ObjectiveFunction(this, swapRateValue_);
Schedule schedule = swap.fixedSchedule();
Handle <YieldTermStructure> rateCurve = swapIndex.forwardingTermStructure();
DayCounter dc = swapIndex.dayCounter();
swapStartTime_ = dc.yearFraction(rateCurve.link.referenceDate(), schedule.startDate());
discountAtStart_ = rateCurve.link.discount(schedule.startDate());
double paymentTime = dc.yearFraction(rateCurve.link.referenceDate(), coupon.date());
shapedPaymentTime_ = shapeOfShift(paymentTime);
List <CashFlow> fixedLeg = new List <CashFlow>(swap.fixedLeg());
int n = fixedLeg.Count;
shapedSwapPaymentTimes_ = new List <double>();
swapPaymentDiscounts_ = new List <double>();
accruals_ = new List <double>();
for (int i = 0; i < n; ++i)
{
Coupon coupon1 = fixedLeg[i] as Coupon;
accruals_.Add(coupon1.accrualPeriod());
Date paymentDate = new Date(coupon1.date().serialNumber());
double swapPaymentTime = dc.yearFraction(rateCurve.link.referenceDate(), paymentDate);
shapedSwapPaymentTimes_.Add(shapeOfShift(swapPaymentTime));
swapPaymentDiscounts_.Add(rateCurve.link.discount(paymentDate));
}
discountRatio_ = swapPaymentDiscounts_.Last() / discountAtStart_;
}
public override void calculate()
{
if (!(arguments_.settlementType == Settlement.Type.Physical))
{
throw new ApplicationException("cash-settled swaptions not priced with Lfm engine");
}
double basisPoint = 1.0e-4;
VanillaSwap swap = arguments_.swap;
IPricingEngine pe = new DiscountingSwapEngine(discountCurve_);
swap.setPricingEngine(pe);
double correction = swap.spread *
Math.Abs(swap.floatingLegBPS() / swap.fixedLegBPS());
double fixedRate = swap.fixedRate - correction;
double fairRate = swap.fairRate() - correction;
SwaptionVolatilityMatrix volatility =
model_.getSwaptionVolatilityMatrix();
Date referenceDate = volatility.referenceDate();
DayCounter dayCounter = volatility.dayCounter();
double exercise = dayCounter.yearFraction(referenceDate,
arguments_.exercise.date(0));
double swapLength =
dayCounter.yearFraction(referenceDate,
arguments_.fixedPayDates.Last())
- dayCounter.yearFraction(referenceDate,
arguments_.fixedResetDates[0]);
Option.Type w = arguments_.type == VanillaSwap.Type.Payer ?
Option.Type.Call : Option.Type.Put;
double vol = volatility.volatility(exercise, swapLength,
fairRate, true);
results_.value = (swap.fixedLegBPS() / basisPoint) *
Utils.blackFormula(w, fixedRate, fairRate, vol * Math.Sqrt(exercise));
}
public override void calculate()
{
Utils.QL_REQUIRE(arguments_.settlementMethod != Settlement.Method.ParYieldCurve, () =>
"cash-settled (ParYieldCurve) swaptions not priced with Lfm engine");
VanillaSwap swap = arguments_.swap;
IPricingEngine pe = new DiscountingSwapEngine(discountCurve_);
swap.setPricingEngine(pe);
double correction = swap.spread *
Math.Abs(swap.floatingLegBPS() / swap.fixedLegBPS());
double fixedRate = swap.fixedRate - correction;
double fairRate = swap.fairRate() - correction;
SwaptionVolatilityMatrix volatility =
model_.link.getSwaptionVolatilityMatrix();
Date referenceDate = volatility.referenceDate();
DayCounter dayCounter = volatility.dayCounter();
double exercise = dayCounter.yearFraction(referenceDate,
arguments_.exercise.date(0));
double swapLength =
dayCounter.yearFraction(referenceDate,
arguments_.fixedPayDates.Last())
- dayCounter.yearFraction(referenceDate,
arguments_.fixedResetDates[0]);
Option.Type w = arguments_.type == VanillaSwap.Type.Payer ?
Option.Type.Call : Option.Type.Put;
double vol = volatility.volatility(exercise, swapLength,
fairRate, true);
results_.value = (swap.fixedLegBPS() / Const.BASIS_POINT) *
Utils.blackFormula(w, fixedRate, fairRate, vol * Math.Sqrt(exercise));
}
public override void calculate()
{
double basisPoint = 1.0e-4;
Date exerciseDate = arguments_.exercise.date(0);
// the part of the swap preceding exerciseDate should be truncated
// to avoid taking into account unwanted cashflows
// for the moment we add a check avoiding this situation
VanillaSwap swap = arguments_.swap;
double strike = swap.fixedRate;
List <CashFlow> fixedLeg = swap.fixedLeg();
FixedRateCoupon firstCoupon = fixedLeg[0] as FixedRateCoupon;
Utils.QL_REQUIRE(firstCoupon != null, () => "wrong coupon type");
Utils.QL_REQUIRE(firstCoupon.accrualStartDate() >= exerciseDate,
() => "swap start (" + firstCoupon.accrualStartDate() + ") before exercise date ("
+ exerciseDate + ") not supported in Black swaption engine");
// using the forecasting curve
swap.setPricingEngine(new DiscountingSwapEngine(swap.iborIndex().forwardingTermStructure()));
double atmForward = swap.fairRate();
// Volatilities are quoted for zero-spreaded swaps.
// Therefore, any spread on the floating leg must be removed
// with a corresponding correction on the fixed leg.
if (swap.spread.IsNotEqual(0.0))
{
double correction = swap.spread * Math.Abs(swap.floatingLegBPS() / swap.fixedLegBPS());
strike -= correction;
atmForward -= correction;
results_.additionalResults["spreadCorrection"] = correction;
}
else
{
results_.additionalResults["spreadCorrection"] = 0.0;
}
results_.additionalResults["strike"] = strike;
results_.additionalResults["atmForward"] = atmForward;
// using the discounting curve
swap.setPricingEngine(new DiscountingSwapEngine(discountCurve_, false));
double annuity = 0;
switch (arguments_.settlementType)
{
case Settlement.Type.Physical:
{
annuity = Math.Abs(swap.fixedLegBPS()) / basisPoint;
break;
}
case Settlement.Type.Cash:
{
DayCounter dayCount = firstCoupon.dayCounter();
// we assume that the cash settlement date is equal
// to the swap start date
Date discountDate = model_ == CashAnnuityModel.DiscountCurve
? firstCoupon.accrualStartDate()
: discountCurve_.link.referenceDate();
double fixedLegCashBPS =
CashFlows.bps(fixedLeg,
new InterestRate(atmForward, dayCount, Compounding.Compounded, Frequency.Annual), false,
discountDate);
annuity = Math.Abs(fixedLegCashBPS / basisPoint) * discountCurve_.link.discount(discountDate);
break;
}
default:
Utils.QL_FAIL("unknown settlement type");
break;
}
results_.additionalResults["annuity"] = annuity;
double swapLength = vol_.link.swapLength(swap.floatingSchedule().dates().First(),
swap.floatingSchedule().dates().Last());
results_.additionalResults["swapLength"] = swapLength;
double variance = vol_.link.blackVariance(exerciseDate,
swapLength,
strike);
double displacement = displacement_ == null
? vol_.link.shift(exerciseDate, swapLength)
: Convert.ToDouble(displacement_);
double stdDev = Math.Sqrt(variance);
results_.additionalResults["stdDev"] = stdDev;
Option.Type w = (arguments_.type == VanillaSwap.Type.Payer) ? Option.Type.Call : Option.Type.Put;
results_.value = new Spec().value(w, strike, atmForward, stdDev, annuity, displacement);
double exerciseTime = vol_.link.timeFromReference(exerciseDate);
results_.additionalResults["vega"] =
new Spec().vega(strike, atmForward, stdDev, exerciseTime, annuity, displacement);
}
public VanillaSwap value()
{
Date startDate;
if (effectiveDate_ != null)
{
startDate = effectiveDate_;
}
else
{
//int fixingDays = iborIndex_.fixingDays();
Date refDate = Settings.evaluationDate();
// if the evaluation date is not a business day
// then move to the next business day
refDate = floatCalendar_.adjust(refDate);
Date spotDate = floatCalendar_.advance(refDate, new Period(settlementDays_, TimeUnit.Days));
startDate = spotDate + forwardStart_;
if (forwardStart_.length() < 0)
{
startDate = floatCalendar_.adjust(startDate, BusinessDayConvention.Preceding);
}
else
{
startDate = floatCalendar_.adjust(startDate, BusinessDayConvention.Following);
}
}
Date endDate = terminationDate_;
if (endDate == null)
{
if (floatEndOfMonth_)
{
endDate = floatCalendar_.advance(startDate,
swapTenor_,
BusinessDayConvention.ModifiedFollowing,
floatEndOfMonth_);
}
else
{
endDate = startDate + swapTenor_;
}
}
Currency curr = iborIndex_.currency();
Period fixedTenor = null;
if (fixedTenor_ != null)
{
fixedTenor = fixedTenor_;
}
else
{
if ((curr == new EURCurrency()) ||
(curr == new USDCurrency()) ||
(curr == new CHFCurrency()) ||
(curr == new SEKCurrency()) ||
(curr == new GBPCurrency() && swapTenor_ <= new Period(1, TimeUnit.Years)))
{
fixedTenor = new Period(1, TimeUnit.Years);
}
else if ((curr == new GBPCurrency() && swapTenor_ > new Period(1, TimeUnit.Years) ||
(curr == new JPYCurrency()) ||
(curr == new AUDCurrency() && swapTenor_ >= new Period(4, TimeUnit.Years))))
{
fixedTenor = new Period(6, TimeUnit.Months);
}
else if ((curr == new HKDCurrency() ||
(curr == new AUDCurrency() && swapTenor_ < new Period(4, TimeUnit.Years))))
{
fixedTenor = new Period(3, TimeUnit.Months);
}
else
{
Utils.QL_FAIL("unknown fixed leg default tenor for " + curr);
}
}
Schedule fixedSchedule = new Schedule(startDate, endDate,
fixedTenor, fixedCalendar_,
fixedConvention_, fixedTerminationDateConvention_,
fixedRule_, fixedEndOfMonth_,
fixedFirstDate_, fixedNextToLastDate_);
Schedule floatSchedule = new Schedule(startDate, endDate,
floatTenor_, floatCalendar_,
floatConvention_, floatTerminationDateConvention_,
floatRule_, floatEndOfMonth_,
floatFirstDate_, floatNextToLastDate_);
DayCounter fixedDayCount = null;
if (fixedDayCount_ != null)
{
fixedDayCount = fixedDayCount_;
}
else
{
if (curr == new USDCurrency())
{
fixedDayCount = new Actual360();
}
else if (curr == new EURCurrency() || curr == new CHFCurrency() || curr == new SEKCurrency())
{
fixedDayCount = new Thirty360(Thirty360.Thirty360Convention.BondBasis);
}
else if (curr == new GBPCurrency() || curr == new JPYCurrency() || curr == new AUDCurrency() ||
curr == new HKDCurrency())
{
fixedDayCount = new Actual365Fixed();
}
else
{
Utils.QL_FAIL("unknown fixed leg day counter for " + curr);
}
}
double?usedFixedRate = fixedRate_;
if (fixedRate_ == null)
{
VanillaSwap temp = new VanillaSwap(type_, nominal_, fixedSchedule, 0.0, fixedDayCount,
floatSchedule, iborIndex_, floatSpread_, floatDayCount_);
if (engine_ == null)
{
Handle <YieldTermStructure> disc = iborIndex_.forwardingTermStructure();
Utils.QL_REQUIRE(!disc.empty(), () =>
"null term structure set to this instance of " + iborIndex_.name());
bool includeSettlementDateFlows = false;
IPricingEngine engine = new DiscountingSwapEngine(disc, includeSettlementDateFlows);
temp.setPricingEngine(engine);
}
else
{
temp.setPricingEngine(engine_);
}
usedFixedRate = temp.fairRate();
}
VanillaSwap swap = new VanillaSwap(type_, nominal_, fixedSchedule, usedFixedRate.Value, fixedDayCount,
floatSchedule, iborIndex_, floatSpread_, floatDayCount_);
if (engine_ == null)
{
Handle <YieldTermStructure> disc = iborIndex_.forwardingTermStructure();
bool includeSettlementDateFlows = false;
IPricingEngine engine = new DiscountingSwapEngine(disc, includeSettlementDateFlows);
swap.setPricingEngine(engine);
}
else
{
swap.setPricingEngine(engine_);
}
return(swap);
}
static void Main(string[] args)
{
DateTime timer = DateTime.Now;
/*********************
*** MARKET DATA ***
*********************/
Calendar calendar = new TARGET();
Date settlementDate = new Date(22, Month.September, 2004);
// must be a business day
settlementDate = calendar.adjust(settlementDate);
int fixingDays = 2;
Date todaysDate = calendar.advance(settlementDate, -fixingDays, TimeUnit.Days);
// nothing to do with Date::todaysDate
Settings.setEvaluationDate(todaysDate);
todaysDate = Settings.evaluationDate();
Console.WriteLine("Today: {0}, {1}", todaysDate.DayOfWeek, todaysDate);
Console.WriteLine("Settlement date: {0}, {1}", settlementDate.DayOfWeek, settlementDate);
// deposits
double d1wQuote = 0.0382;
double d1mQuote = 0.0372;
double d3mQuote = 0.0363;
double d6mQuote = 0.0353;
double d9mQuote = 0.0348;
double d1yQuote = 0.0345;
// FRAs
double fra3x6Quote = 0.037125;
double fra6x9Quote = 0.037125;
double fra6x12Quote = 0.037125;
// futures
double fut1Quote = 96.2875;
double fut2Quote = 96.7875;
double fut3Quote = 96.9875;
double fut4Quote = 96.6875;
double fut5Quote = 96.4875;
double fut6Quote = 96.3875;
double fut7Quote = 96.2875;
double fut8Quote = 96.0875;
// swaps
double s2yQuote = 0.037125;
double s3yQuote = 0.0398;
double s5yQuote = 0.0443;
double s10yQuote = 0.05165;
double s15yQuote = 0.055175;
/********************
*** 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);
// FRAs
Quote fra3x6Rate = new SimpleQuote(fra3x6Quote);
Quote fra6x9Rate = new SimpleQuote(fra6x9Quote);
Quote fra6x12Rate = new SimpleQuote(fra6x12Quote);
// futures
Quote fut1Price = new SimpleQuote(fut1Quote);
Quote fut2Price = new SimpleQuote(fut2Quote);
Quote fut3Price = new SimpleQuote(fut3Quote);
Quote fut4Price = new SimpleQuote(fut4Quote);
Quote fut5Price = new SimpleQuote(fut5Quote);
Quote fut6Price = new SimpleQuote(fut6Quote);
Quote fut7Price = new SimpleQuote(fut7Quote);
Quote fut8Price = new SimpleQuote(fut8Quote);
// 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 FRAs
RateHelper fra3x6 = new FraRateHelper(new Handle<Quote>(fra3x6Rate), 3, 6, fixingDays, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
RateHelper fra6x9 = new FraRateHelper(new Handle<Quote>(fra6x9Rate), 6, 9, fixingDays, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
RateHelper fra6x12 = new FraRateHelper(new Handle<Quote>(fra6x12Rate), 6, 12, fixingDays, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
// setup futures
// Handle<Quote> convexityAdjustment = new Handle<Quote>(new SimpleQuote(0.0));
int futMonths = 3;
Date imm = IMM.nextDate(settlementDate);
RateHelper fut1 = new FuturesRateHelper(new Handle<Quote>(fut1Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut2 = new FuturesRateHelper(new Handle<Quote>(fut2Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut3 = new FuturesRateHelper(new Handle<Quote>(fut3Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut4 = new FuturesRateHelper(new Handle<Quote>(fut4Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut5 = new FuturesRateHelper(new Handle<Quote>(fut5Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut6 = new FuturesRateHelper(new Handle<Quote>(fut6Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut7 = new FuturesRateHelper(new Handle<Quote>(fut7Price), imm, futMonths, calendar,
BusinessDayConvention.ModifiedFollowing, true, depositDayCounter);
imm = IMM.nextDate(imm + 1);
RateHelper fut8 = new FuturesRateHelper(new Handle<Quote>(fut8Price), imm, futMonths, 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();
RateHelper s2y = new SwapRateHelper(new Handle<Quote>(s2yRate), new Period(2, TimeUnit.Years),
calendar, swFixedLegFrequency, swFixedLegConvention, swFixedLegDayCounter, swFloatingLegIndex);
RateHelper s3y = new SwapRateHelper(new Handle<Quote>(s3yRate), new Period(3, TimeUnit.Years),
calendar, swFixedLegFrequency, swFixedLegConvention, swFixedLegDayCounter, swFloatingLegIndex);
RateHelper s5y = new SwapRateHelper(new Handle<Quote>(s5yRate), new Period(5, TimeUnit.Years),
calendar, swFixedLegFrequency, swFixedLegConvention, swFixedLegDayCounter, swFloatingLegIndex);
RateHelper s10y = new SwapRateHelper(new Handle<Quote>(s10yRate), new Period(10, TimeUnit.Years),
calendar, swFixedLegFrequency, swFixedLegConvention, swFixedLegDayCounter, swFloatingLegIndex);
RateHelper s15y = new SwapRateHelper(new Handle<Quote>(s15yRate), new Period(15, TimeUnit.Years),
calendar, swFixedLegFrequency, swFixedLegConvention, swFixedLegDayCounter, swFloatingLegIndex);
/*********************
** 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-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);
// A depo-futures-swap curve
List<RateHelper> depoFutSwapInstruments = new List<RateHelper>();
depoFutSwapInstruments.Add(d1w);
depoFutSwapInstruments.Add(d1m);
depoFutSwapInstruments.Add(fut1);
depoFutSwapInstruments.Add(fut2);
depoFutSwapInstruments.Add(fut3);
depoFutSwapInstruments.Add(fut4);
depoFutSwapInstruments.Add(fut5);
depoFutSwapInstruments.Add(fut6);
depoFutSwapInstruments.Add(fut7);
depoFutSwapInstruments.Add(fut8);
depoFutSwapInstruments.Add(s3y);
depoFutSwapInstruments.Add(s5y);
depoFutSwapInstruments.Add(s10y);
depoFutSwapInstruments.Add(s15y);
YieldTermStructure depoFutSwapTermStructure = new PiecewiseYieldCurve<Discount,LogLinear>(
settlementDate, depoFutSwapInstruments, termStructureDayCounter, new List<Handle<Quote>>(), new List<Date>(), tolerance);
// A depo-FRA-swap curve
List<RateHelper> depoFRASwapInstruments = new List<RateHelper>();
depoFRASwapInstruments.Add(d1w);
depoFRASwapInstruments.Add(d1m);
depoFRASwapInstruments.Add(d3m);
depoFRASwapInstruments.Add(fra3x6);
depoFRASwapInstruments.Add(fra6x9);
depoFRASwapInstruments.Add(fra6x12);
depoFRASwapInstruments.Add(s2y);
depoFRASwapInstruments.Add(s3y);
depoFRASwapInstruments.Add(s5y);
depoFRASwapInstruments.Add(s10y);
depoFRASwapInstruments.Add(s15y);
YieldTermStructure depoFRASwapTermStructure = new PiecewiseYieldCurve<Discount,LogLinear>(
settlementDate, depoFRASwapInstruments, 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>();
/*********************
* SWAPS TO BE PRICED *
**********************/
// constant nominal 1,000,000 Euro
double nominal = 1000000.0;
// fixed leg
Frequency fixedLegFrequency = Frequency.Annual;
BusinessDayConvention fixedLegConvention = BusinessDayConvention.Unadjusted;
BusinessDayConvention floatingLegConvention = BusinessDayConvention.ModifiedFollowing;
DayCounter fixedLegDayCounter = new Thirty360(Thirty360.Thirty360Convention.European);
double fixedRate = 0.04;
DayCounter floatingLegDayCounter = new Actual360();
// floating leg
Frequency floatingLegFrequency = Frequency.Semiannual;
IborIndex euriborIndex = new Euribor6M(forecastingTermStructure);
double spread = 0.0;
int lenghtInYears = 5;
VanillaSwap.Type swapType = VanillaSwap.Type.Payer;
Date maturity = settlementDate + new Period(lenghtInYears, TimeUnit.Years);
Schedule fixedSchedule = new Schedule(settlementDate, maturity, new Period(fixedLegFrequency),
calendar, fixedLegConvention, fixedLegConvention, DateGeneration.Rule.Forward, false);
Schedule floatSchedule = new Schedule(settlementDate, maturity, new Period(floatingLegFrequency),
calendar, floatingLegConvention, floatingLegConvention, DateGeneration.Rule.Forward, false);
VanillaSwap spot5YearSwap = new VanillaSwap(swapType, nominal, fixedSchedule, fixedRate, fixedLegDayCounter,
floatSchedule, euriborIndex, spread, floatingLegDayCounter);
Date fwdStart = calendar.advance(settlementDate, 1, TimeUnit.Years);
Date fwdMaturity = fwdStart + new Period(lenghtInYears, TimeUnit.Years);
Schedule fwdFixedSchedule = new Schedule(fwdStart, fwdMaturity, new Period(fixedLegFrequency),
calendar, fixedLegConvention, fixedLegConvention, DateGeneration.Rule.Forward, false);
Schedule fwdFloatSchedule = new Schedule(fwdStart, fwdMaturity, new Period(floatingLegFrequency),
calendar, floatingLegConvention, floatingLegConvention, DateGeneration.Rule.Forward, false);
VanillaSwap oneYearForward5YearSwap = new VanillaSwap(swapType, nominal, fwdFixedSchedule, fixedRate, fixedLegDayCounter,
fwdFloatSchedule, euriborIndex, spread, floatingLegDayCounter);
/***************
* SWAP PRICING *
****************/
// utilities for reporting
List<string> headers = new List<string>();
headers.Add("term structure");
headers.Add("net present value");
headers.Add("fair spread");
headers.Add("fair fixed rate");
string separator = " | ";
int width = headers[0].Length + separator.Length
+ headers[1].Length + separator.Length
+ headers[2].Length + separator.Length
+ headers[3].Length + separator.Length - 1;
string rule = string.Format("").PadLeft(width, '-'), dblrule = string.Format("").PadLeft(width, '=');
string tab = string.Format("").PadLeft(8, ' ');
// calculations
Console.WriteLine(dblrule);
Console.WriteLine("5-year market swap-rate = {0:0.00%}", s5yRate.value());
Console.WriteLine(dblrule);
Console.WriteLine(tab + "5-years swap paying {0:0.00%}", fixedRate);
Console.WriteLine(headers[0] + separator
+ headers[1] + separator
+ headers[2] + separator
+ headers[3] + separator);
Console.WriteLine(rule);
double NPV;
double fairRate;
double fairSpread;
IPricingEngine swapEngine = new DiscountingSwapEngine(discountingTermStructure);
spot5YearSwap.setPricingEngine(swapEngine);
oneYearForward5YearSwap.setPricingEngine(swapEngine);
// Of course, you're not forced to really use different curves
forecastingTermStructure.linkTo(depoSwapTermStructure);
discountingTermStructure.linkTo(depoSwapTermStructure);
NPV = spot5YearSwap.NPV();
fairSpread = spot5YearSwap.fairSpread();
fairRate = spot5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
// let's check that the 5 years swap has been correctly re-priced
if (!(Math.Abs(fairRate-s5yQuote)<1e-8))
throw new ApplicationException("5-years swap mispriced by " + Math.Abs(fairRate-s5yQuote));
forecastingTermStructure.linkTo(depoFutSwapTermStructure);
discountingTermStructure.linkTo(depoFutSwapTermStructure);
NPV = spot5YearSwap.NPV();
fairSpread = spot5YearSwap.fairSpread();
fairRate = spot5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-fut-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
if (!(Math.Abs(fairRate-s5yQuote)<1e-8))
throw new ApplicationException("5-years swap mispriced by " + Math.Abs(fairRate-s5yQuote));
forecastingTermStructure.linkTo(depoFRASwapTermStructure);
discountingTermStructure.linkTo(depoFRASwapTermStructure);
NPV = spot5YearSwap.NPV();
fairSpread = spot5YearSwap.fairSpread();
fairRate = spot5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-FRA-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
if (!(Math.Abs(fairRate-s5yQuote)<1e-8))
throw new ApplicationException("5-years swap mispriced by " + Math.Abs(fairRate-s5yQuote));
Console.WriteLine(rule);
// now let's price the 1Y forward 5Y swap
Console.WriteLine(tab + "5-years, 1-year forward swap paying {0:0.00%}", fixedRate);
Console.WriteLine(headers[0] + separator
+ headers[1] + separator
+ headers[2] + separator
+ headers[3] + separator);
Console.WriteLine(rule);
forecastingTermStructure.linkTo(depoSwapTermStructure);
discountingTermStructure.linkTo(depoSwapTermStructure);
NPV = oneYearForward5YearSwap.NPV();
fairSpread = oneYearForward5YearSwap.fairSpread();
fairRate = oneYearForward5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
forecastingTermStructure.linkTo(depoFutSwapTermStructure);
discountingTermStructure.linkTo(depoFutSwapTermStructure);
NPV = oneYearForward5YearSwap.NPV();
fairSpread = oneYearForward5YearSwap.fairSpread();
fairRate = oneYearForward5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-fut-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
forecastingTermStructure.linkTo(depoFRASwapTermStructure);
discountingTermStructure.linkTo(depoFRASwapTermStructure);
NPV = oneYearForward5YearSwap.NPV();
fairSpread = oneYearForward5YearSwap.fairSpread();
fairRate = oneYearForward5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-FRA-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
// now let's say that the 5-years swap rate goes up to 4.60%.
// A smarter market element--say, connected to a data source-- would
// notice the change itself. Since we're using SimpleQuotes,
// we'll have to change the value manually--which forces us to
// downcast the handle and use the SimpleQuote
// interface. In any case, the point here is that a change in the
// value contained in the Quote triggers a new bootstrapping
// of the curve and a repricing of the swap.
SimpleQuote fiveYearsRate = s5yRate as SimpleQuote;
fiveYearsRate.setValue(0.0460);
Console.WriteLine(dblrule);
Console.WriteLine("5-year market swap-rate = {0:0.00%}", s5yRate.value());
Console.WriteLine(dblrule);
Console.WriteLine(tab + "5-years swap paying {0:0.00%}", fixedRate);
Console.WriteLine(headers[0] + separator
+ headers[1] + separator
+ headers[2] + separator
+ headers[3] + separator);
Console.WriteLine(rule);
// now get the updated results
forecastingTermStructure.linkTo(depoSwapTermStructure);
discountingTermStructure.linkTo(depoSwapTermStructure);
NPV = spot5YearSwap.NPV();
fairSpread = spot5YearSwap.fairSpread();
fairRate = spot5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
if (!(Math.Abs(fairRate-s5yRate.value())<1e-8))
throw new ApplicationException("5-years swap mispriced by " + Math.Abs(fairRate-s5yRate.value()));
forecastingTermStructure.linkTo(depoFutSwapTermStructure);
discountingTermStructure.linkTo(depoFutSwapTermStructure);
NPV = spot5YearSwap.NPV();
fairSpread = spot5YearSwap.fairSpread();
fairRate = spot5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-fut-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
if (!(Math.Abs(fairRate-s5yRate.value())<1e-8))
throw new ApplicationException("5-years swap mispriced by " + Math.Abs(fairRate-s5yRate.value()));
forecastingTermStructure.linkTo(depoFRASwapTermStructure);
discountingTermStructure.linkTo(depoFRASwapTermStructure);
NPV = spot5YearSwap.NPV();
fairSpread = spot5YearSwap.fairSpread();
fairRate = spot5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-FRA-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
if (!(Math.Abs(fairRate-s5yRate.value())<1e-8))
throw new ApplicationException("5-years swap mispriced by " + Math.Abs(fairRate-s5yRate.value()));
Console.WriteLine(rule);
// the 1Y forward 5Y swap changes as well
Console.WriteLine(tab + "5-years, 1-year forward swap paying {0:0.00%}", fixedRate);
Console.WriteLine(headers[0] + separator
+ headers[1] + separator
+ headers[2] + separator
+ headers[3] + separator);
Console.WriteLine(rule);
forecastingTermStructure.linkTo(depoSwapTermStructure);
discountingTermStructure.linkTo(depoSwapTermStructure);
NPV = oneYearForward5YearSwap.NPV();
fairSpread = oneYearForward5YearSwap.fairSpread();
fairRate = oneYearForward5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
forecastingTermStructure.linkTo(depoFutSwapTermStructure);
discountingTermStructure.linkTo(depoFutSwapTermStructure);
NPV = oneYearForward5YearSwap.NPV();
fairSpread = oneYearForward5YearSwap.fairSpread();
fairRate = oneYearForward5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-fut-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
forecastingTermStructure.linkTo(depoFRASwapTermStructure);
discountingTermStructure.linkTo(depoFRASwapTermStructure);
NPV = oneYearForward5YearSwap.NPV();
fairSpread = oneYearForward5YearSwap.fairSpread();
fairRate = oneYearForward5YearSwap.fairRate();
Console.Write("{0," + headers[0].Length + ":0.00}" + separator, "depo-FRA-swap");
Console.Write("{0," + headers[1].Length + ":0.00}" + separator, NPV);
Console.Write("{0," + headers[2].Length + ":0.00%}" + separator, fairSpread);
Console.WriteLine("{0," + headers[3].Length + ":0.00%}" + separator, fairRate);
Console.WriteLine(" \nRun completed in {0}", DateTime.Now - timer);
Console.Write("Press any key to continue ...");
Console.ReadKey();
}
public VanillaSwap value()
{
Date startDate;
if (effectiveDate_ != null)
startDate = effectiveDate_;
else {
int fixingDays = iborIndex_.fixingDays();
Date referenceDate = Settings.evaluationDate();
Date spotDate = floatCalendar_.advance(referenceDate, new Period(fixingDays, TimeUnit.Days));
startDate = spotDate + forwardStart_;
}
Date endDate;
if (terminationDate_ != null)
endDate = terminationDate_;
else
endDate = startDate + swapTenor_;
Schedule fixedSchedule = new Schedule(startDate, endDate,
fixedTenor_, fixedCalendar_,
fixedConvention_, fixedTerminationDateConvention_,
fixedRule_, fixedEndOfMonth_,
fixedFirstDate_, fixedNextToLastDate_);
Schedule floatSchedule = new Schedule(startDate, endDate,
floatTenor_, floatCalendar_,
floatConvention_, floatTerminationDateConvention_,
floatRule_, floatEndOfMonth_,
floatFirstDate_, floatNextToLastDate_);
double? usedFixedRate = fixedRate_;
if (fixedRate_ == null) { // calculate a fair fixed rate if no fixed rate is provided
if (iborIndex_.forwardingTermStructure().empty())
throw new ArgumentException("no forecasting term structure set to " + iborIndex_.name());
VanillaSwap temp = new VanillaSwap(type_, nominal_, fixedSchedule, 0.0, fixedDayCount_,
floatSchedule, iborIndex_, floatSpread_, floatDayCount_);
temp.setPricingEngine(new DiscountingSwapEngine(iborIndex_.forwardingTermStructure()));
usedFixedRate = temp.fairRate();
}
VanillaSwap swap = new VanillaSwap(type_, nominal_, fixedSchedule, usedFixedRate.Value, fixedDayCount_,
floatSchedule, iborIndex_, floatSpread_, floatDayCount_);
swap.setPricingEngine(engine_);
return swap;
}
protected override void performCalculations()
{
Calendar calendar = index_.fixingCalendar();
int fixingDays = index_.fixingDays();
Date exerciseDate = exerciseDate_;
if (exerciseDate == null)
{
exerciseDate = calendar.advance(termStructure_.link.referenceDate(),
maturity_,
index_.businessDayConvention());
}
Date startDate = calendar.advance(exerciseDate,
fixingDays, TimeUnit.Days,
index_.businessDayConvention());
Date endDate = endDate_;
if (endDate == null)
{
endDate = calendar.advance(startDate, length_,
index_.businessDayConvention());
}
Schedule fixedSchedule = new Schedule(startDate, endDate, fixedLegTenor_, calendar,
index_.businessDayConvention(),
index_.businessDayConvention(),
DateGeneration.Rule.Forward, false);
Schedule floatSchedule = new Schedule(startDate, endDate, index_.tenor(), calendar,
index_.businessDayConvention(),
index_.businessDayConvention(),
DateGeneration.Rule.Forward, false);
IPricingEngine swapEngine = new DiscountingSwapEngine(termStructure_, false);
VanillaSwap.Type type = VanillaSwap.Type.Receiver;
VanillaSwap temp = new VanillaSwap(VanillaSwap.Type.Receiver, nominal_,
fixedSchedule, 0.0, fixedLegDayCounter_,
floatSchedule, index_, 0.0, floatingLegDayCounter_);
temp.setPricingEngine(swapEngine);
double forward = temp.fairRate();
if (!strike_.HasValue)
{
exerciseRate_ = forward;
}
else
{
exerciseRate_ = strike_.Value;
type = strike_ <= forward ? VanillaSwap.Type.Receiver : VanillaSwap.Type.Payer;
// ensure that calibration instrument is out of the money
}
swap_ = new VanillaSwap(type, nominal_,
fixedSchedule, exerciseRate_, fixedLegDayCounter_,
floatSchedule, index_, 0.0, floatingLegDayCounter_);
swap_.setPricingEngine(swapEngine);
Exercise exercise = new EuropeanExercise(exerciseDate);
swaption_ = new Swaption(swap_, exercise);
base.performCalculations();
}
static void Main(string[] args)
{
DateTime timer = DateTime.Now;
Date todaysDate = new Date(15, 2, 2002);
Calendar calendar = new TARGET();
Date settlementDate = new Date(19, 2, 2002);
Settings.setEvaluationDate(todaysDate);
// flat yield term structure impling 1x5 swap at 5%
Quote flatRate = new SimpleQuote(0.04875825);
Handle<YieldTermStructure> rhTermStructure = new Handle<YieldTermStructure>(
new FlatForward(settlementDate, new Handle<Quote>(flatRate),
new Actual365Fixed()));
// Define the ATM/OTM/ITM swaps
Frequency fixedLegFrequency = Frequency.Annual;
BusinessDayConvention fixedLegConvention = BusinessDayConvention.Unadjusted;
BusinessDayConvention floatingLegConvention = BusinessDayConvention.ModifiedFollowing;
DayCounter fixedLegDayCounter = new Thirty360(Thirty360.Thirty360Convention.European);
Frequency floatingLegFrequency = Frequency.Semiannual;
VanillaSwap.Type type = VanillaSwap.Type.Payer;
double dummyFixedRate = 0.03;
IborIndex indexSixMonths = new Euribor6M(rhTermStructure);
Date startDate = calendar.advance(settlementDate, 1, TimeUnit.Years,
floatingLegConvention);
Date maturity = calendar.advance(startDate, 5, TimeUnit.Years,
floatingLegConvention);
Schedule fixedSchedule = new Schedule(startDate, maturity, new Period(fixedLegFrequency),
calendar, fixedLegConvention, fixedLegConvention,
DateGeneration.Rule.Forward, false);
Schedule floatSchedule = new Schedule(startDate, maturity, new Period(floatingLegFrequency),
calendar, floatingLegConvention, floatingLegConvention,
DateGeneration.Rule.Forward, false);
VanillaSwap swap = new VanillaSwap(
type, 1000.0,
fixedSchedule, dummyFixedRate, fixedLegDayCounter,
floatSchedule, indexSixMonths, 0.0,
indexSixMonths.dayCounter());
swap.setPricingEngine(new DiscountingSwapEngine(rhTermStructure));
double fixedAtmRate = swap.fairRate();
double fixedOtmRate = fixedAtmRate * 1.2;
double fixedItmRate = fixedAtmRate * 0.8;
VanillaSwap atmSwap = new VanillaSwap(
type, 1000.0,
fixedSchedule, fixedAtmRate, fixedLegDayCounter,
floatSchedule, indexSixMonths, 0.0,
indexSixMonths.dayCounter());
VanillaSwap otmSwap = new VanillaSwap(
type, 1000.0,
fixedSchedule, fixedOtmRate, fixedLegDayCounter,
floatSchedule, indexSixMonths, 0.0,
indexSixMonths.dayCounter());
VanillaSwap itmSwap = new VanillaSwap(
type, 1000.0,
fixedSchedule, fixedItmRate, fixedLegDayCounter,
floatSchedule, indexSixMonths, 0.0,
indexSixMonths.dayCounter());
// defining the swaptions to be used in model calibration
List<Period> swaptionMaturities = new List<Period>(5);
swaptionMaturities.Add(new Period(1, TimeUnit.Years));
swaptionMaturities.Add(new Period(2, TimeUnit.Years));
swaptionMaturities.Add(new Period(3, TimeUnit.Years));
swaptionMaturities.Add(new Period(4, TimeUnit.Years));
swaptionMaturities.Add(new Period(5, TimeUnit.Years));
List<CalibrationHelper> swaptions = new List<CalibrationHelper>();
// List of times that have to be included in the timegrid
List<double> times = new List<double>();
for (int i = 0; i < NumRows; i++)
{
int j = NumCols - i - 1; // 1x5, 2x4, 3x3, 4x2, 5x1
int k = i * NumCols + j;
Quote vol = new SimpleQuote(SwaptionVols[k]);
swaptions.Add(new SwaptionHelper(swaptionMaturities[i],
new Period(SwapLenghts[j], TimeUnit.Years),
new Handle<Quote>(vol),
indexSixMonths,
indexSixMonths.tenor(),
indexSixMonths.dayCounter(),
indexSixMonths.dayCounter(),
rhTermStructure, false));
swaptions.Last().addTimesTo(times);
}
// Building time-grid
TimeGrid grid = new TimeGrid(times, 30);
// defining the models
G2 modelG2 = new G2(rhTermStructure);
HullWhite modelHw = new HullWhite(rhTermStructure);
HullWhite modelHw2 = new HullWhite(rhTermStructure);
BlackKarasinski modelBk = new BlackKarasinski(rhTermStructure);
// model calibrations
Console.WriteLine("G2 (analytic formulae) calibration");
for (int i = 0; i < swaptions.Count; i++)
swaptions[i].setPricingEngine(new G2SwaptionEngine(modelG2, 6.0, 16));
CalibrateModel(modelG2, swaptions);
Console.WriteLine("calibrated to:\n" +
"a = {0:0.000000}, " +
"sigma = {1:0.0000000}\n" +
"b = {2:0.000000}, " +
"eta = {3:0.0000000}\n" +
"rho = {4:0.00000}\n",
modelG2.parameters()[0],
modelG2.parameters()[1],
modelG2.parameters()[2],
modelG2.parameters()[3],
modelG2.parameters()[4]);
Console.WriteLine("Hull-White (analytic formulae) calibration");
for (int i = 0; i < swaptions.Count; i++)
swaptions[i].setPricingEngine(new JamshidianSwaptionEngine(modelHw));
CalibrateModel(modelHw, swaptions);
Console.WriteLine("calibrated to:\n" +
"a = {0:0.000000}, " +
"sigma = {1:0.0000000}\n",
modelHw.parameters()[0],
modelHw.parameters()[1]);
Console.WriteLine("Hull-White (numerical) calibration");
for (int i = 0; i < swaptions.Count(); i++)
swaptions[i].setPricingEngine(new TreeSwaptionEngine(modelHw2, grid));
CalibrateModel(modelHw2, swaptions);
Console.WriteLine("calibrated to:\n" +
"a = {0:0.000000}, " +
"sigma = {1:0.0000000}\n",
modelHw2.parameters()[0],
modelHw2.parameters()[1]);
Console.WriteLine("Black-Karasinski (numerical) calibration");
for (int i = 0; i < swaptions.Count; i++)
swaptions[i].setPricingEngine(new TreeSwaptionEngine(modelBk, grid));
CalibrateModel(modelBk, swaptions);
Console.WriteLine("calibrated to:\n" +
"a = {0:0.000000}, " +
"sigma = {1:0.00000}\n",
modelBk.parameters()[0],
modelBk.parameters()[1]);
// ATM Bermudan swaption pricing
Console.WriteLine("Payer bermudan swaption "
+ "struck at {0:0.00000 %} (ATM)",
fixedAtmRate);
List<Date> bermudanDates = new List<Date>();
List<CashFlow> leg = swap.fixedLeg();
for (int i = 0; i < leg.Count; i++)
{
Coupon coupon = (Coupon)leg[i];
bermudanDates.Add(coupon.accrualStartDate());
}
Exercise bermudanExercise = new BermudanExercise(bermudanDates);
Swaption bermudanSwaption = new Swaption(atmSwap, bermudanExercise);
// Do the pricing for each model
// G2 price the European swaption here, it should switch to bermudan
bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelG2, 50));
Console.WriteLine("G2: {0:0.00}", bermudanSwaption.NPV());
bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw, 50));
Console.WriteLine("HW: {0:0.000}", bermudanSwaption.NPV());
bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw2, 50));
Console.WriteLine("HW (num): {0:0.000}", bermudanSwaption.NPV());
bermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelBk, 50));
Console.WriteLine("BK: {0:0.000}", bermudanSwaption.NPV());
// OTM Bermudan swaption pricing
Console.WriteLine("Payer bermudan swaption "
+ "struck at {0:0.00000 %} (OTM)",
fixedOtmRate);
Swaption otmBermudanSwaption = new Swaption(otmSwap, bermudanExercise);
// Do the pricing for each model
otmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelG2, 50));
Console.WriteLine("G2: {0:0.0000}", otmBermudanSwaption.NPV());
otmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw, 50));
Console.WriteLine("HW: {0:0.0000}", otmBermudanSwaption.NPV());
otmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw2, 50));
Console.WriteLine("HW (num): {0:0.000}", otmBermudanSwaption.NPV());
otmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelBk, 50));
Console.WriteLine("BK: {0:0.0000}", otmBermudanSwaption.NPV());
// ITM Bermudan swaption pricing
Console.WriteLine("Payer bermudan swaption "
+ "struck at {0:0.00000 %} (ITM)",
fixedItmRate);
Swaption itmBermudanSwaption = new Swaption(itmSwap, bermudanExercise);
// Do the pricing for each model
itmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelG2, 50));
Console.WriteLine("G2: {0:0.000}", itmBermudanSwaption.NPV());
itmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw, 50));
Console.WriteLine("HW: {0:0.000}", itmBermudanSwaption.NPV());
itmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelHw2, 50));
Console.WriteLine("HW (num): {0:0.000}", itmBermudanSwaption.NPV());
itmBermudanSwaption.setPricingEngine(new TreeSwaptionEngine(modelBk, 50));
Console.WriteLine("BK: {0:0.000}", itmBermudanSwaption.NPV());
Console.WriteLine(" \nRun completed in {0}", DateTime.Now - timer);
Console.WriteLine();
Console.Write("Press any key to continue ...");
Console.ReadKey();
}
public void testSwaptionPricing()
{
//"Testing forward swap and swaption pricing...");
//SavedSettings backup;
const int size = 10;
const int steps = 8*size;
#if QL_USE_INDEXED_COUPON
const double tolerance = 1e-6;
#else
const double tolerance = 1e-12;
#endif
List<Date> dates = new List<Date>();
List<double> rates = new List<double>();
dates.Add(new Date(4,9,2005));
dates.Add(new Date(4,9,2011));
rates.Add(0.04);
rates.Add(0.08);
IborIndex index = makeIndex(dates, rates);
LiborForwardModelProcess process = new LiborForwardModelProcess(size, index);
LmCorrelationModel corrModel = new LmExponentialCorrelationModel(size, 0.5);
LmVolatilityModel volaModel = new LmLinearExponentialVolatilityModel(process.fixingTimes(),
0.291, 1.483, 0.116, 0.00001);
// set-up pricing engine
process.setCovarParam((LfmCovarianceParameterization)
new LfmCovarianceProxy(volaModel, corrModel));
// set-up a small Monte-Carlo simulation to price swations
List<double> tmp = process.fixingTimes();
TimeGrid grid=new TimeGrid(tmp ,steps);
List<int> location=new List<int>();
for (int i=0; i < tmp.Count; ++i) {
location.Add(grid.index(tmp[i])) ;
}
ulong seed=42;
const int nrTrails = 5000;
LowDiscrepancy.icInstance = new InverseCumulativeNormal();
IRNG rsg = (InverseCumulativeRsg<RandomSequenceGenerator<MersenneTwisterUniformRng>
,InverseCumulativeNormal>)
new PseudoRandom().make_sequence_generator(process.factors()*(grid.size()-1),seed);
MultiPathGenerator<IRNG> generator=new MultiPathGenerator<IRNG>(process,
grid,
rsg, false);
LiborForwardModel liborModel = new LiborForwardModel(process, volaModel, corrModel);
Calendar calendar = index.fixingCalendar();
DayCounter dayCounter = index.forwardingTermStructure().link.dayCounter();
BusinessDayConvention convention = index.businessDayConvention();
Date settlement = index.forwardingTermStructure().link.referenceDate();
SwaptionVolatilityMatrix m = liborModel.getSwaptionVolatilityMatrix();
for (int i=1; i < size; ++i) {
for (int j=1; j <= size-i; ++j) {
Date fwdStart = settlement + new Period(6*i, TimeUnit.Months);
Date fwdMaturity = fwdStart + new Period(6*j, TimeUnit.Months);
Schedule schedule =new Schedule(fwdStart, fwdMaturity, index.tenor(), calendar,
convention, convention, DateGeneration.Rule.Forward, false);
double swapRate = 0.0404;
VanillaSwap forwardSwap = new VanillaSwap(VanillaSwap.Type.Receiver, 1.0,
schedule, swapRate, dayCounter,
schedule, index, 0.0, index.dayCounter());
forwardSwap.setPricingEngine(new DiscountingSwapEngine(index.forwardingTermStructure()));
// check forward pricing first
double expected = forwardSwap.fairRate();
double calculated = liborModel.S_0(i-1,i+j-1);
if (Math.Abs(expected - calculated) > tolerance)
Assert.Fail("Failed to reproduce fair forward swap rate"
+ "\n calculated: " + calculated
+ "\n expected: " + expected);
swapRate = forwardSwap.fairRate();
forwardSwap =
new VanillaSwap(VanillaSwap.Type.Receiver, 1.0,
schedule, swapRate, dayCounter,
schedule, index, 0.0, index.dayCounter());
forwardSwap.setPricingEngine(new DiscountingSwapEngine(index.forwardingTermStructure()));
if (i == j && i<=size/2) {
IPricingEngine engine =
new LfmSwaptionEngine(liborModel, index.forwardingTermStructure());
Exercise exercise =
new EuropeanExercise(process.fixingDates()[i]);
Swaption swaption =
new Swaption(forwardSwap, exercise);
swaption.setPricingEngine(engine);
GeneralStatistics stat = new GeneralStatistics();
for (int n=0; n<nrTrails; ++n) {
Sample<MultiPath> path = (n%2!=0) ? generator.antithetic()
: generator.next();
//Sample<MultiPath> path = generator.next();
List<double> rates_ = new InitializedList<double>(size);
for (int k=0; k<process.size(); ++k) {
rates_[k] = path.value[k][location[i]];
}
List<double> dis = process.discountBond(rates_);
double npv=0.0;
for (int k=i; k < i+j; ++k) {
npv += (swapRate - rates_[k])
* ( process.accrualEndTimes()[k]
- process.accrualStartTimes()[k])*dis[k];
}
stat.add(Math.Max(npv, 0.0));
}
if (Math.Abs(swaption.NPV() - stat.mean())
> stat.errorEstimate()*2.35)
Assert.Fail("Failed to reproduce swaption npv"
+ "\n calculated: " + stat.mean()
+ "\n expected: " + swaption.NPV());
}
}
}
}
public override void initialize(FloatingRateCoupon coupon)
{
coupon_ = coupon as CmsCoupon;
Utils.QL_REQUIRE(coupon_ != null, () => "CMS coupon needed");
gearing_ = coupon_.gearing();
spread_ = coupon_.spread();
fixingDate_ = coupon_.fixingDate();
paymentDate_ = coupon_.date();
SwapIndex swapIndex = coupon_.swapIndex();
rateCurve_ = swapIndex.forwardingTermStructure().link;
Date today = Settings.evaluationDate();
if (paymentDate_ > today)
{
discount_ = rateCurve_.discount(paymentDate_);
}
else
{
discount_ = 1.0;
}
spreadLegValue_ = spread_ * coupon_.accrualPeriod() * discount_;
if (fixingDate_ > today)
{
swapTenor_ = swapIndex.tenor();
VanillaSwap swap = swapIndex.underlyingSwap(fixingDate_);
swapRateValue_ = swap.fairRate();
double bp = 1.0e-4;
annuity_ = (swap.floatingLegBPS() / bp);
int q = (int)swapIndex.fixedLegTenor().frequency();
Schedule schedule = swap.fixedSchedule();
DayCounter dc = swapIndex.dayCounter();
//DayCounter dc = coupon.dayCounter();
double startTime = dc.yearFraction(rateCurve_.referenceDate(), swap.startDate());
double swapFirstPaymentTime = dc.yearFraction(rateCurve_.referenceDate(), schedule.date(1));
double paymentTime = dc.yearFraction(rateCurve_.referenceDate(), paymentDate_);
double delta = (paymentTime - startTime) / (swapFirstPaymentTime - startTime);
switch (modelOfYieldCurve_)
{
case GFunctionFactory.YieldCurveModel.Standard:
gFunction_ = GFunctionFactory.newGFunctionStandard(q, delta, swapTenor_.length());
break;
case GFunctionFactory.YieldCurveModel.ExactYield:
gFunction_ = GFunctionFactory.newGFunctionExactYield(coupon_);
break;
case GFunctionFactory.YieldCurveModel.ParallelShifts: {
Handle <Quote> nullMeanReversionQuote = new Handle <Quote>(new SimpleQuote(0.0));
gFunction_ = GFunctionFactory.newGFunctionWithShifts(coupon_, nullMeanReversionQuote);
}
break;
case GFunctionFactory.YieldCurveModel.NonParallelShifts:
gFunction_ = GFunctionFactory.newGFunctionWithShifts(coupon_, meanReversion_);
break;
default:
throw new ApplicationException("unknown/illegal gFunction type");
}
vanillaOptionPricer_ = new BlackVanillaOptionPricer(swapRateValue_, fixingDate_, swapTenor_, swaptionVolatility().link);
}
}
protected override void performCalculations()
{
Calendar calendar = index_.fixingCalendar();
int fixingDays = index_.fixingDays();
Date exerciseDate = exerciseDate_;
if (exerciseDate == null)
exerciseDate = calendar.advance(termStructure_.link.referenceDate(),
maturity_,
index_.businessDayConvention());
Date startDate = calendar.advance(exerciseDate,
fixingDays, TimeUnit.Days,
index_.businessDayConvention());
Date endDate = endDate_;
if (endDate == null)
endDate = calendar.advance(startDate, length_,
index_.businessDayConvention());
Schedule fixedSchedule = new Schedule(startDate, endDate, fixedLegTenor_, calendar,
index_.businessDayConvention(),
index_.businessDayConvention(),
DateGeneration.Rule.Forward, false);
Schedule floatSchedule = new Schedule(startDate, endDate, index_.tenor(), calendar,
index_.businessDayConvention(),
index_.businessDayConvention(),
DateGeneration.Rule.Forward, false);
IPricingEngine swapEngine = new DiscountingSwapEngine(termStructure_, false);
VanillaSwap.Type type = VanillaSwap.Type.Receiver;
VanillaSwap temp = new VanillaSwap(VanillaSwap.Type.Receiver, nominal_,
fixedSchedule, 0.0, fixedLegDayCounter_,
floatSchedule, index_, 0.0, floatingLegDayCounter_);
temp.setPricingEngine(swapEngine);
double forward = temp.fairRate();
if(! strike_.HasValue)
{
exerciseRate_ = forward;
}
else
{
exerciseRate_ = strike_.Value;
type = strike_ <= forward ? VanillaSwap.Type.Receiver : VanillaSwap.Type.Payer;
// ensure that calibration instrument is out of the money
}
swap_ = new VanillaSwap(type, nominal_,
fixedSchedule, exerciseRate_, fixedLegDayCounter_,
floatSchedule, index_, 0.0, floatingLegDayCounter_);
swap_.setPricingEngine(swapEngine);
Exercise exercise = new EuropeanExercise(exerciseDate);
swaption_ = new Swaption(swap_, exercise);
base.performCalculations();
}
public override void calculate()
{
double basisPoint = 1.0e-4;
Date exerciseDate = arguments_.exercise.date(0);
// the part of the swap preceding exerciseDate should be truncated
// to avoid taking into account unwanted cashflows
VanillaSwap swap = arguments_.swap;
double strike = swap.fixedRate;
// using the forecasting curve
swap.setPricingEngine(new DiscountingSwapEngine(swap.iborIndex().forwardingTermStructure()));
double atmForward = swap.fairRate();
// Volatilities are quoted for zero-spreaded swaps.
// Therefore, any spread on the floating leg must be removed
// with a corresponding correction on the fixed leg.
if (swap.spread != 0.0)
{
double correction = swap.spread * Math.Abs(swap.floatingLegBPS() / swap.fixedLegBPS());
strike -= correction;
atmForward -= correction;
results_.additionalResults["spreadCorrection"] = correction;
}
else
{
results_.additionalResults["spreadCorrection"] = 0.0;
}
results_.additionalResults["strike"] = strike;
results_.additionalResults["atmForward"] = atmForward;
// using the discounting curve
swap.setPricingEngine(new DiscountingSwapEngine(termStructure_));
double annuity;
switch (arguments_.settlementType)
{
case Settlement.Type.Physical: {
annuity = Math.Abs(swap.fixedLegBPS()) / basisPoint;
break;
}
case Settlement.Type.Cash: {
List <CashFlow> fixedLeg = swap.fixedLeg();
FixedRateCoupon firstCoupon = (FixedRateCoupon)fixedLeg[0];
DayCounter dayCount = firstCoupon.dayCounter();
double fixedLegCashBPS =
CashFlows.bps(fixedLeg,
new InterestRate(atmForward, dayCount, QLNet.Compounding.Compounded, Frequency.Annual), false,
termStructure_.link.referenceDate());
annuity = Math.Abs(fixedLegCashBPS / basisPoint);
break;
}
default:
throw new ApplicationException("unknown settlement type");
}
results_.additionalResults["annuity"] = annuity;
// the swap length calculation might be improved using the value date
// of the exercise date
double swapLength = volatility_.link.swapLength(exerciseDate,
arguments_.floatingPayDates.Last());
results_.additionalResults["swapLength"] = swapLength;
double variance = volatility_.link.blackVariance(exerciseDate,
swapLength,
strike);
double stdDev = Math.Sqrt(variance);
results_.additionalResults["stdDev"] = stdDev;
Option.Type w = (arguments_.type == VanillaSwap.Type.Payer) ?
Option.Type.Call : Option.Type.Put;
results_.value = Utils.blackFormula(w, strike, atmForward, stdDev, annuity);
double exerciseTime = volatility_.link.timeFromReference(exerciseDate);
results_.additionalResults["vega"] = Math.Sqrt(exerciseTime) *
Utils.blackFormulaStdDevDerivative(strike, atmForward, stdDev, annuity);
}