public BlackConstantVol(int settlementDays, Calendar cal, Handle<Quote> volatility, DayCounter dc)
: base(settlementDays, cal, BusinessDayConvention.Following, dc)
{
volatility_ = volatility;
volatility_.registerWith(update);
}
//! fixed-rate bond
/*! \ingroup instruments
\test calculations are tested by checking results against
cached values.
*/
//! simple annual compounding coupon rates
public FixedRateBond(int settlementDays, double faceAmount, Schedule schedule,List<double> coupons,
DayCounter accrualDayCounter, BusinessDayConvention paymentConvention = BusinessDayConvention.Following,
double redemption = 100, Date issueDate = null,Calendar paymentCalendar = null,
Period exCouponPeriod = null,
Calendar exCouponCalendar = null,
BusinessDayConvention exCouponConvention = BusinessDayConvention.Unadjusted,
bool exCouponEndOfMonth = false)
: base(settlementDays, paymentCalendar == null ? schedule.calendar() : paymentCalendar,
issueDate)
{
frequency_ = schedule.tenor().frequency();
dayCounter_ = accrualDayCounter;
maturityDate_ = schedule.endDate();
cashflows_ = new FixedRateLeg(schedule)
.withCouponRates(coupons, accrualDayCounter)
.withExCouponPeriod(exCouponPeriod,
exCouponCalendar,
exCouponConvention,
exCouponEndOfMonth)
.withPaymentCalendar(calendar_)
.withNotionals(faceAmount)
.withPaymentAdjustment(paymentConvention);
addRedemptionsToCashflows(new List<double>() { redemption });
if (cashflows().Count == 0)
throw new ApplicationException("bond with no cashflows!");
if (redemptions_.Count != 1)
throw new ApplicationException("multiple redemptions created");
}
// results
//private double? fairSpread1_;
//private double? fairSpread2_;
// constructor
public BasisSwap(Type type, double nominal,
Schedule float1Schedule, IborIndex iborIndex1, double spread1, DayCounter float1DayCount,
Schedule float2Schedule, IborIndex iborIndex2, double spread2, DayCounter float2DayCount)
: this(type, nominal, float1Schedule, iborIndex1, spread1, float1DayCount,
float2Schedule, iborIndex2, spread2, float2DayCount, null)
{
}
public BlackConstantVol(Date referenceDate, Calendar cal, Handle<Quote> volatility, DayCounter dc)
: base(referenceDate, cal, BusinessDayConvention.Following, dc)
{
volatility_ = volatility;
volatility_.registerWith(update);
}
public DiscretizedSwap(VanillaSwap.Arguments args,
Date referenceDate,
DayCounter dayCounter)
{
arguments_ = args;
fixedResetTimes_ = new InitializedList<double>(args.fixedResetDates.Count);
for (int i = 0; i < fixedResetTimes_.Count; ++i)
fixedResetTimes_[i] =
dayCounter.yearFraction(referenceDate,
args.fixedResetDates[i]);
fixedPayTimes_ = new InitializedList<double>(args.fixedPayDates.Count);
for (int i = 0; i < fixedPayTimes_.Count; ++i)
fixedPayTimes_[i] =
dayCounter.yearFraction(referenceDate,
args.fixedPayDates[i]);
floatingResetTimes_ = new InitializedList<double>(args.floatingResetDates.Count);
for (int i = 0; i < floatingResetTimes_.Count; ++i)
floatingResetTimes_[i] =
dayCounter.yearFraction(referenceDate,
args.floatingResetDates[i]);
floatingPayTimes_ = new InitializedList<double>(args.floatingPayDates.Count);
for (int i = 0; i < floatingPayTimes_.Count; ++i)
floatingPayTimes_[i] =
dayCounter.yearFraction(referenceDate,
args.floatingPayDates[i]);
}
public SwaptionVolatilityDiscrete(List<Period> optionTenors,
List<Period> swapTenors,
int settlementDays,
Calendar cal,
BusinessDayConvention bdc,
DayCounter dc)
: base(settlementDays, cal, bdc, dc)
{
nOptionTenors_ = optionTenors.Count;
optionTenors_ = optionTenors;
optionDates_ = new InitializedList<Date>(nOptionTenors_);
optionTimes_ = new InitializedList<double>(nOptionTenors_);
optionDatesAsReal_ = new InitializedList<double>(nOptionTenors_);
nSwapTenors_ = swapTenors.Count;
swapTenors_ = swapTenors;
swapLengths_ = new InitializedList<double>(nSwapTenors_);
checkOptionTenors();
initializeOptionDatesAndTimes();
checkSwapTenors();
initializeSwapLengths();
optionInterpolator_ = new LinearInterpolation(optionTimes_,
optionTimes_.Count,
optionDatesAsReal_);
optionInterpolator_.update();
optionInterpolator_.enableExtrapolation();
evaluationDate_ = Settings.evaluationDate();
Settings.registerWith(update);
}
public AmortizingFixedRateBond(
int settlementDays,
List<double> notionals,
Schedule schedule,
List<double> coupons,
DayCounter accrualDayCounter,
BusinessDayConvention paymentConvention = BusinessDayConvention.Following,
Date issueDate = null)
:base(settlementDays, schedule.calendar(), issueDate)
{
frequency_ = schedule.tenor().frequency();
dayCounter_ = accrualDayCounter;
schedule_ = schedule;
maturityDate_ = schedule.endDate();
cashflows_ = new FixedRateLeg(schedule)
.withCouponRates(coupons, accrualDayCounter)
.withNotionals(notionals)
.withPaymentAdjustment(paymentConvention).value();
addRedemptionsToCashflows();
if ( cashflows().empty())
throw new ApplicationException("bond with no cashflows!");
}
public AmortizingFixedRateBond(
int settlementDays,
Calendar calendar,
double faceAmount,
Date startDate,
Period bondTenor,
Frequency sinkingFrequency,
double coupon,
DayCounter accrualDayCounter,
BusinessDayConvention paymentConvention = BusinessDayConvention.Following,
Date issueDate = null)
:base(settlementDays, calendar, issueDate)
{
frequency_ = sinkingFrequency;
dayCounter_ = accrualDayCounter;
Utils.QL_REQUIRE( bondTenor.length() > 0,() =>
"bond tenor must be positive. "
+ bondTenor + " is not allowed." );
maturityDate_ = startDate + bondTenor;
maturityDate_ = startDate + bondTenor;
schedule_ = sinkingSchedule(startDate, bondTenor, sinkingFrequency, calendar);
cashflows_ = new FixedRateLeg(schedule_)
.withCouponRates(coupon, accrualDayCounter)
.withNotionals(sinkingNotionals(bondTenor, sinkingFrequency, coupon, faceAmount))
.withPaymentAdjustment(paymentConvention).value();
addRedemptionsToCashflows();
}
public CallableBondConstantVolatility(int settlementDays, Calendar calendar, double volatility, DayCounter dayCounter)
:base(settlementDays, calendar)
{
volatility_ = new Handle<Quote>(new SimpleQuote(volatility));
dayCounter_ = dayCounter;
maxBondTenor_ = new Period(100,TimeUnit.Years);
}
public CallableBondConstantVolatility(Date referenceDate, double volatility, DayCounter dayCounter)
:base(referenceDate)
{
volatility_ = new Handle<Quote>(new SimpleQuote(volatility));
dayCounter_ = dayCounter;
maxBondTenor_ = new Period(100,TimeUnit.Years);
}
// setup
public CommonVars()
{
// force garbage collection
// garbage collection in .NET is rather weird and we do need when we run several tests in a row
GC.Collect();
// data
calendar = new TARGET();
settlementDays = 2;
today = new Date(9, Month.June, 2009);
compounding = Compounding.Continuous;
dayCount = new Actual360();
settlementDate = calendar.advance(today, settlementDays, TimeUnit.Days);
Settings.setEvaluationDate(today);
int[] ts = new int[] { 13, 41, 75, 165, 256, 345, 524, 703 };
double[] r = new double[] { 0.035, 0.033, 0.034, 0.034, 0.036, 0.037, 0.039, 0.040 };
List<double> rates = new List<double>() { 0.035 };
List<Date> dates = new List<Date>() { settlementDate };
for (int i = 0; i < 8; ++i)
{
dates.Add(calendar.advance(today, ts[i], TimeUnit.Days));
rates.Add(r[i]);
}
termStructure = new InterpolatedZeroCurve<Linear>(dates, rates, dayCount);
}
public void BuildDates(QLNet.Calendar calendar, QLNet.DayCounter dc)
{
_dates.Resize(_tenors.Count);
Date today = Settings.evaluationDate();
for (int i = 0; i < _tenors.Count; i++)
{
if (_tenors[i].units() == TimeUnit.Days)
{
_dates[i] = calendar.adjust(today + _tenors[i]);
}
else
{
_dates[i] = calendar.advance(today, _tenors[i], BusinessDayConvention.Following, true);
}
}
QLNet.Utils.QL_REQUIRE(_dates.Count == _tenors.Count, () => "Date/Tenor mismatch");
// Build times
_times.Resize(_dates.Count);
for (int i = 0; i < _dates.Count; i++)
{
_times[i] = dc.yearFraction(today, _dates[i]);
}
_timeGrid = new TimeGrid(_times, _times.Count);
// Log the date grid
//log();
}
// constructors
public FloatingRateCoupon(double nominal,
Date paymentDate,
Date startDate,
Date endDate,
int fixingDays,
InterestRateIndex index,
double gearing = 1.0,
double spread = 0.0,
Date refPeriodStart = null,
Date refPeriodEnd = null,
DayCounter dayCounter = null,
bool isInArrears = false)
: base(nominal, paymentDate, startDate, endDate, refPeriodStart, refPeriodEnd)
{
index_ = index;
dayCounter_ = dayCounter == null ? new DayCounter() : dayCounter ;
fixingDays_ = fixingDays == default(int) ? index.fixingDays() : fixingDays;
gearing_ = gearing;
spread_ = spread;
isInArrears_ = isInArrears;
if (gearing_ == 0) throw new ArgumentException("Null gearing not allowed");
if (dayCounter_.empty())
dayCounter_ = index_.dayCounter();
// add as observer
index_.registerWith(update);
Settings.registerWith(update);
}
public FloatingRateBond(int settlementDays, double faceAmount, Schedule schedule, IborIndex index,
DayCounter paymentDayCounter, BusinessDayConvention paymentConvention, int fixingDays,
List<double> gearings, List<double> spreads)
: this(settlementDays, faceAmount, schedule, index, paymentDayCounter, BusinessDayConvention.Following,
fixingDays, gearings, spreads, new List<double>(), new List<double>(), false, 100, null)
{
}
public FloatingRateBond(int settlementDays, double faceAmount, Schedule schedule, IborIndex index,
DayCounter paymentDayCounter)
: this(settlementDays, faceAmount, schedule, index, paymentDayCounter, BusinessDayConvention.Following,
0, new List<double>() { 1 }, new List<double>() { 0 }, new List<double>(), new List<double>(),
false, 100, null)
{
}
public FlatForward(Date referenceDate, double forward, DayCounter dayCounter, Compounding compounding, Frequency frequency)
: base(referenceDate, new Calendar(), dayCounter)
{
forward_ = new SimpleQuote(forward);
compounding_ = compounding;
frequency_ = frequency;
}
public DiscretizedCallableFixedRateBond(CallableBond.Arguments args,
Date referenceDate,
DayCounter dayCounter)
{
arguments_ = args;
redemptionTime_ = dayCounter.yearFraction(referenceDate, args.redemptionDate);
for (int i = 0; i < args.couponDates.Count ; ++i)
couponTimes_.Add(dayCounter.yearFraction(referenceDate, args.couponDates[i]));
for (int i = 0; i < args.callabilityDates.Count ; ++i)
callabilityTimes_.Add( dayCounter.yearFraction(referenceDate, args.callabilityDates[i]));
// similar to the tree swaption engine, we collapse similar coupon
// and exercise dates to avoid mispricing. Delete if unnecessary.
for (int i = 0; i < callabilityTimes_.Count; i++)
{
double exerciseTime = callabilityTimes_[i];
for (int j = 0; j < couponTimes_.Count ; j++)
{
if (withinNextWeek(exerciseTime, couponTimes_[j]))
couponTimes_[j] = exerciseTime;
}
}
}
public TermStructure(DayCounter dc)
{
moving_ = false;
updated_ = true;
settlementDays_ = default(int);
dayCounter_ = dc;
}
// Factory - for Leg generators
public override CashFlow factory(double nominal, Date paymentDate, Date startDate, Date endDate, int fixingDays,
InterestRateIndex index, double gearing, double spread,
Date refPeriodStart, Date refPeriodEnd, DayCounter dayCounter, bool isInArrears)
{
return new CmsCoupon(nominal, paymentDate, startDate, endDate, fixingDays,
(SwapIndex)index, gearing, spread, refPeriodStart, refPeriodEnd, dayCounter, isInArrears);
}
SwaptionHelper( Date exerciseDate,
Period length,
Handle<Quote> volatility,
IborIndex index,
Period fixedLegTenor,
DayCounter fixedLegDayCounter,
DayCounter floatingLegDayCounter,
Handle<YieldTermStructure> termStructure,
CalibrationErrorType errorType = CalibrationErrorType.RelativePriceError,
double? strike = null,
double nominal = 1.0)
: base(volatility, termStructure, errorType)
{
exerciseDate_ = exerciseDate;
endDate_ = null;
maturity_ = new Period(0,TimeUnit.Days);
length_ = length;
fixedLegTenor_ = fixedLegTenor;
index_ = index;
fixedLegDayCounter_ = fixedLegDayCounter;
floatingLegDayCounter_ = floatingLegDayCounter;
strike_ = strike;
nominal_ = nominal;
index_.registerWith( update );
}
// constructors
public FixedRateCoupon(double nominal, Date paymentDate, double rate, DayCounter dayCounter,
Date accrualStartDate, Date accrualEndDate,
Date refPeriodStart = null, Date refPeriodEnd = null,double? amount = null)
: base(nominal, paymentDate, accrualStartDate, accrualEndDate, refPeriodStart, refPeriodEnd, amount)
{
rate_ = new InterestRate(rate, dayCounter, Compounding.Simple,Frequency.Annual);
}
// There are three ways in which a term structure can keep
// track of its reference date. The first is that such date
// is fixed; the second is that it is determined by advancing
// the current date of a given number of business days; and
// the third is that it is based on the reference date of
// some other structure.
//
// In the first case, the constructor taking a date is to be
// used; the default implementation of referenceDate() will
// then return such date. In the second case, the constructor
// taking a number of days and a calendar is to be used;
// referenceDate() will return a date calculated based on the
// current evaluation date, and the term structure and its
// observers will be notified when the evaluation date
// changes. In the last case, the referenceDate() method must
// be overridden in derived classes so that it fetches and
// return the appropriate date.
//! default constructor
/*! \warning term structures initialized by means of this
constructor must manage their own reference date
by overriding the referenceDate() method.
*/
public TermStructure(DayCounter dc = null)
{
moving_ = false;
updated_ = true;
settlementDays_ = null;
dayCounter_ = dc;
}
public BlackSwaptionEngine(Handle<YieldTermStructure> termStructure,
double vol, DayCounter dc )
{
termStructure_ = termStructure;
volatility_ = new Handle<SwaptionVolatilityStructure>(new ConstantSwaptionVolatility(0, new NullCalendar(), BusinessDayConvention.Following, vol, dc));
termStructure_.registerWith(update);
}
public FloatingRateBond(int settlementDays, double faceAmount, Schedule schedule, IborIndex index, DayCounter paymentDayCounter,
BusinessDayConvention paymentConvention, int fixingDays, List<double> gearings, List<double> spreads,
List<double> caps, List<double> floors, bool inArrears, double redemption, Date issueDate)
: base(settlementDays, schedule.calendar(), issueDate) {
maturityDate_ = schedule.endDate();
cashflows_ = new IborLeg(schedule, index)
.withPaymentDayCounter(paymentDayCounter)
.withFixingDays(fixingDays)
.withGearings(gearings)
.withSpreads(spreads)
.withCaps(caps)
.withFloors(floors)
.inArrears(inArrears)
.withNotionals(faceAmount)
.withPaymentAdjustment(paymentConvention);
addRedemptionsToCashflows(new List<double>() { redemption });
if (cashflows().Count == 0)
throw new ApplicationException("bond with no cashflows!");
if (redemptions_.Count != 1)
throw new ApplicationException("multiple redemptions created");
index.registerWith(update);
}
public CallableBondConstantVolatility(Date referenceDate, Handle<Quote> volatility, DayCounter dayCounter)
:base(referenceDate)
{
volatility_ = volatility;
dayCounter_ = dayCounter;
maxBondTenor_ = new Period(100,TimeUnit.Years);
volatility_.registerWith(update);
}
public IborIndex(string familyName, Period tenor, int settlementDays, Currency currency,
Calendar fixingCalendar, BusinessDayConvention convention, bool endOfMonth,
DayCounter dayCounter)
: this(familyName, tenor, settlementDays, currency,
fixingCalendar, convention, endOfMonth,
dayCounter, new Handle<YieldTermStructure>())
{
}
public CallableBondConstantVolatility(int settlementDays, Calendar calendar, Handle<Quote> volatility,DayCounter dayCounter)
:base(settlementDays, calendar)
{
volatility_ = volatility;
dayCounter_ = dayCounter;
maxBondTenor_ = new Period(100,TimeUnit.Years);
volatility_.registerWith(update);
}
public CapletVarianceCurve( Date referenceDate,
List<Date> dates,
List<double> capletVolCurve,
DayCounter dayCounter)
: base(referenceDate, new Calendar(), BusinessDayConvention.Following, new DayCounter())
{
blackCurve_=new BlackVarianceCurve(referenceDate, dates, capletVolCurve, dayCounter, false);
}
//! floating reference date, floating market data
public ConstantOptionletVolatility(int settlementDays, Calendar cal, BusinessDayConvention bdc,
Handle<Quote> vol, DayCounter dc)
: base(settlementDays, cal, bdc, dc)
{
volatility_ = vol;
volatility_.registerWith(update);
}
public LocalConstantVol(int settlementDays, Calendar calendar, Handle<Quote> volatility, DayCounter dayCounter)
: base(settlementDays,calendar)
{
volatility_ = volatility;
dayCounter_ = dayCounter;
volatility_.registerWith(update);
}
//! fixed reference date, floating market data
public ConstantOptionletVolatility(Date referenceDate, Calendar cal, BusinessDayConvention bdc,
Handle<Quote> vol, DayCounter dc)
: base(referenceDate, cal, bdc, dc)
{
volatility_ = vol;
volatility_.registerWith(update);
}
protected ZeroYieldStructure(DayCounter dc = null, List <Handle <Quote> > jumps = null, List <Date> jumpDates = null)
: base(dc, jumps, jumpDates)
{
}
protected ZeroYieldStructure(Date referenceDate, Calendar calendar = null, DayCounter dc = null,
List <Handle <Quote> > jumps = null, List <Date> jumpDates = null)
: base(referenceDate, calendar, dc, jumps, jumpDates)
{
}
protected ZeroYieldStructure(int settlementDays, Calendar calendar, DayCounter dc = null,
List <Handle <Quote> > jumps = null, List <Date> jumpDates = null)
: base(settlementDays, calendar, dc, jumps, jumpDates)
{
}
public AverageBMALeg withPaymentDayCounter(DayCounter dayCounter)
{
paymentDayCounter_ = dayCounter;
return(this);
}
//! calculate the reference date based on the global evaluation date
public SwaptionVolatilityStructure(int settlementDays, Calendar cal, BusinessDayConvention bdc, DayCounter dc = null)
: base(settlementDays, cal, bdc, dc)
{
}
//! initialize with a fixed reference date
public VolatilityTermStructure(Date referenceDate, Calendar cal, BusinessDayConvention bdc, DayCounter dc = null)
: base(referenceDate, cal, dc)
{
bdc_ = bdc;
}
// other initializers
public FixedRateLeg withCouponRates(double couponRate, DayCounter paymentDayCounter)
{
return(withCouponRates(couponRate, paymentDayCounter, Compounding.Simple, Frequency.Annual));
}
private int bmaCutoffDays = 0; // to be verified
// double gearing = 1.0, double spread = 0.0,
// Date refPeriodStart = Date(), Date refPeriodEnd = Date(), DayCounter dayCounter = DayCounter());
public AverageBMACoupon(double nominal, Date paymentDate, Date startDate, Date endDate, BMAIndex index,
double gearing, double spread, Date refPeriodStart, Date refPeriodEnd, DayCounter dayCounter)
: base(nominal, paymentDate, startDate, endDate, index.fixingDays(), index, gearing, spread,
refPeriodStart, refPeriodEnd, dayCounter, false)
{
fixingSchedule_ = index.fixingSchedule(
index.fixingCalendar()
.advance(startDate, new Period(-index.fixingDays() + bmaCutoffDays, TimeUnit.Days),
BusinessDayConvention.Preceding), endDate);
setPricer(new AverageBMACouponPricer());
}
/*! \warning term structures initialized by means of this
* constructor must manage their own reference date
* by overriding the referenceDate() method.
*/
public VolatilityTermStructure(BusinessDayConvention bdc, DayCounter dc = null)
: base(dc)
{
bdc_ = bdc;
}
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.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(termStructure_));
double annuity = 0;
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:
Utils.QL_FAIL("unknown settlement type");
break;
}
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);
}
public InterpolatedHazardRateCurve(List <Date> dates, List <double> hazardRates, DayCounter dayCounter, Interpolator interpolator)
: base(dates[0], null, dayCounter)
{
dates_ = dates;
if (interpolator == null)
{
interpolator_ = new Interpolator();
}
else
{
interpolator_ = interpolator;
}
initialize();
}
public FixedRateLeg withFirstPeriodDayCounter(DayCounter dayCounter)
{
firstPeriodDC_ = dayCounter;
return(this);
}
protected override void performCalculations()
{
List <BTP> btps = basket_.btps();
List <Handle <Quote> > quotes = basket_.cleanPriceQuotes();
Date bondSettlementDate = btps[0].settlementDate();
for (int i = 0; i < basket_.size(); ++i)
{
yields_[i] = BondFunctions.yield(btps[i], quotes[i].link.value(),
new ActualActual(ActualActual.Convention.ISMA),
Compounding.Compounded, Frequency.Annual,
bondSettlementDate,
// accuracy, maxIterations, guess
1.0e-10, 100, yields_[i]);
durations_[i] = BondFunctions.duration(btps[i], yields_[i], new ActualActual(ActualActual.Convention.ISMA),
Compounding.Compounded, Frequency.Annual, Duration.Type.Modified,
bondSettlementDate);
}
duration_ = 0;
basket_.weights().ForEach((ii, vv) => duration_ += vv * yields()[ii]);
//duration_ = std::inner_product(basket_->weights().begin(),
// basket_->weights().end(),
// durations_.begin(), 0.0);
int settlDays = 2;
DayCounter fixedDayCount = swaps_[0].fixedDayCount();
equivalentSwapIndex_ = nSwaps_ - 1;
swapRates_[0] = swaps_[0].fairRate();
FixedRateBond swapBond = new FixedRateBond(settlDays,
100.0, // faceAmount
swaps_[0].fixedSchedule(),
new List <double>()
{
swapRates_[0].Value
},
fixedDayCount,
BusinessDayConvention.Following, // paymentConvention
100.0); // redemption
swapBondYields_[0] = BondFunctions.yield(swapBond,
100.0, // floating leg NPV including end payment
new ActualActual(ActualActual.Convention.ISMA),
Compounding.Compounded, Frequency.Annual,
bondSettlementDate,
// accuracy, maxIterations, guess
1.0e-10, 100, swapBondYields_[0].Value);
swapBondDurations_[0] = BondFunctions.duration(swapBond, swapBondYields_[0].Value,
new ActualActual(ActualActual.Convention.ISMA),
Compounding.Compounded, Frequency.Annual,
Duration.Type.Modified, bondSettlementDate);
for (int i = 1; i < nSwaps_; ++i)
{
swapRates_[i] = swaps_[i].fairRate();
FixedRateBond swapBond2 = new FixedRateBond(settlDays,
100.0, // faceAmount
swaps_[i].fixedSchedule(),
new List <double>()
{
swapRates_[i].Value
},
fixedDayCount,
BusinessDayConvention.Following, // paymentConvention
100.0); // redemption
swapBondYields_[i] = BondFunctions.yield(swapBond2, 100.0, // floating leg NPV including end payment
new ActualActual(ActualActual.Convention.ISMA),
Compounding.Compounded, Frequency.Annual,
bondSettlementDate,
// accuracy, maxIterations, guess
1.0e-10, 100, swapBondYields_[i].Value);
swapBondDurations_[i] = BondFunctions.duration(swapBond2, swapBondYields_[i].Value,
new ActualActual(ActualActual.Convention.ISMA),
Compounding.Compounded, Frequency.Annual,
Duration.Type.Modified, bondSettlementDate);
if (swapBondDurations_[i] > duration_)
{
equivalentSwapIndex_ = i - 1;
break; // exit the loop
}
}
return;
}
public FixedRateLeg withCouponRates(List <double> couponRates, DayCounter paymentDayCounter, Compounding comp)
{
return(withCouponRates(couponRates, paymentDayCounter, comp, Frequency.Annual));
}
//! default constructor
/*! \warning term structures initialized by means of this
* constructor must manage their own reference date
* by overriding the referenceDate() method.
*/
//public LocalVolTermStructure()
// : base(BusinessDayConvention.Following, null) { }
public LocalVolTermStructure(BusinessDayConvention bdc = BusinessDayConvention.Following, DayCounter dc = null)
: base(bdc, dc)
{
}
public SurvivalProbabilityStructure(DayCounter dayCounter = null,
List <Handle <Quote> > jumps = null,
List <Date> jumpDates = null)
: base(dayCounter, jumps, jumpDates)
{
}
public SwaptionVolatilityStructure(BusinessDayConvention bdc, DayCounter dc = null)
: base(bdc, dc)
{
}
//! calculate the reference date based on the global evaluation date
public VolatilityTermStructure(int settlementDays, Calendar cal, BusinessDayConvention bdc, DayCounter dc = null)
: base(settlementDays, cal, dc)
{
bdc_ = bdc;
}
//! initialize with a fixed reference date
public SwaptionVolatilityStructure(Date referenceDate, Calendar calendar, BusinessDayConvention bdc, DayCounter dc = null)
: base(referenceDate, calendar, bdc, dc)
{
}
//! clean price given a yield and settlement date
/*! The default bond settlement is used if no date is given. */
public double cleanPrice(double yield, DayCounter dc, Compounding comp, Frequency freq, Date settlement = null)
{
return(BondFunctions.cleanPrice(this, yield, dc, comp, freq, settlement));
}
public InterpolatedHazardRateCurve(List <Date> dates, List <double> hazardRates, DayCounter dayCounter, Calendar cal = null,
List <Handle <Quote> > jumps = null, List <Date> jumpDates = null, Interpolator interpolator = default(Interpolator))
: base(dates[0], cal, dayCounter, jumps, jumpDates)
{
dates_ = dates;
times_ = new List <double>();
data_ = hazardRates;
if (interpolator == null)
{
interpolator_ = new Interpolator();
}
else
{
interpolator_ = interpolator;
}
initialize();
}
public static List <CashFlow> yoyInflationLeg(List <double> notionals_,
Schedule schedule_,
BusinessDayConvention paymentAdjustment_,
YoYInflationIndex index_,
List <double> gearings_,
List <double> spreads_,
DayCounter paymentDayCounter_,
List <double> caps_,
List <double> floors_,
Calendar paymentCalendar_,
List <int> fixingDays_,
Period observationLag_)
{
int n = schedule_.Count - 1;
if (notionals_.empty())
{
throw new ApplicationException("no notional given");
}
if (notionals_.Count > n)
{
throw new ApplicationException("too many nominals (" + notionals_.Count +
"), only " + n + " required");
}
if (gearings_ != null && gearings_.Count > n)
{
throw new ApplicationException("too many gearings (" + gearings_.Count +
"), only " + n + " required");
}
if (spreads_ != null && spreads_.Count > n)
{
throw new ApplicationException("too many spreads (" + spreads_.Count +
"), only " + n + " required");
}
if (caps_ != null && caps_.Count > n)
{
throw new ApplicationException("too many caps (" + caps_.Count +
"), only " + n + " required");
}
if (floors_ != null && floors_.Count > n)
{
throw new ApplicationException("too many floors (" + floors_.Count +
"), only " + n + " required");
}
List <CashFlow> leg = new List <CashFlow>(n);
Calendar calendar = paymentCalendar_;
Date refStart, start, refEnd, end;
//Date lastPaymentDate = calendar.adjust(schedule_.date(n), paymentAdjustment_);
for (int i = 0; i < n; ++i)
{
refStart = start = schedule_.date(i);
refEnd = end = schedule_.date(i + 1);
Date paymentDate = calendar.adjust(end, paymentAdjustment_);
if (i == 0 && !schedule_.isRegular(i + 1))
{
BusinessDayConvention bdc = schedule_.businessDayConvention();
refStart = schedule_.calendar().adjust(end - schedule_.tenor(), bdc);
}
if (i == n - 1 && !schedule_.isRegular(i + 1))
{
BusinessDayConvention bdc = schedule_.businessDayConvention();
refEnd = schedule_.calendar().adjust(start + schedule_.tenor(), bdc);
}
if (Utils.Get(gearings_, i, 1.0) == 0.0)
{
// fixed coupon
leg.Add(new FixedRateCoupon(Utils.Get(notionals_, i, 1.0),
paymentDate,
Utils.effectiveFixedRate(spreads_, caps_,
floors_, i),
paymentDayCounter_,
start, end, refStart, refEnd));
}
else
{
// yoy inflation coupon
if (Utils.noOption(caps_, floors_, i))
{
// just swaplet
YoYInflationCoupon coup = new YoYInflationCoupon(paymentDate,
Utils.Get(notionals_, i, 1.0),
start, end,
Utils.Get(fixingDays_, i, 0),
index_,
observationLag_,
paymentDayCounter_,
Utils.Get(gearings_, i, 1.0),
Utils.Get(spreads_, i, 0.0),
refStart, refEnd);
// in this case you can set a pricer
// straight away because it only provides computation - not data
YoYInflationCouponPricer pricer = new YoYInflationCouponPricer();
coup.setPricer(pricer);
leg.Add(coup);
}
else
{
// cap/floorlet
leg.Add(new CappedFlooredYoYInflationCoupon(
paymentDate,
Utils.Get(notionals_, i, 1.0),
start, end,
Utils.Get(fixingDays_, i, 0),
index_,
observationLag_,
paymentDayCounter_,
Utils.Get(gearings_, i, 1.0),
Utils.Get(spreads_, i, 0.0),
Utils.toNullable(Utils.Get(caps_, i, Double.MinValue)),
Utils.toNullable(Utils.Get(floors_, i, Double.MinValue)),
refStart, refEnd));
}
}
}
return(leg);
}
public static List <CashFlow> FloatingLeg <InterestRateIndexType, FloatingCouponType, CappedFlooredCouponType>(List <double> nominals,
Schedule schedule,
InterestRateIndexType index,
DayCounter paymentDayCounter,
BusinessDayConvention paymentAdj,
List <int> fixingDays,
List <double> gearings,
List <double> spreads,
List <double> caps,
List <double> floors,
bool isInArrears,
bool isZero)
where InterestRateIndexType : InterestRateIndex, new()
where FloatingCouponType : FloatingRateCoupon, new()
where CappedFlooredCouponType : CappedFlooredCoupon, new()
{
int n = schedule.Count;
if (nominals.Count == 0)
{
throw new ArgumentException("no notional given");
}
if (nominals.Count > n)
{
throw new ArgumentException(
"too many nominals (" + nominals.Count + "), only " + n + " required");
}
if (gearings != null && gearings.Count > n)
{
throw new ArgumentException(
"too many gearings (" + gearings.Count + "), only " + n + " required");
}
if (spreads != null && spreads.Count > n)
{
throw new ArgumentException(
"too many spreads (" + spreads.Count + "), only " + n + " required");
}
if (caps != null && caps.Count > n)
{
throw new ArgumentException(
"too many caps (" + caps.Count + "), only " + n + " required");
}
if (floors != null && floors.Count > n)
{
throw new ArgumentException(
"too many floors (" + floors.Count + "), only " + n + " required");
}
if (isZero && isInArrears)
{
throw new ArgumentException("in-arrears and zero features are not compatible");
}
List <CashFlow> leg = new List <CashFlow>();
// the following is not always correct
Calendar calendar = schedule.calendar();
Date refStart, start, refEnd, end;
Date lastPaymentDate = calendar.adjust(schedule[n - 1], paymentAdj);
for (int i = 0; i < n - 1; ++i)
{
refStart = start = schedule[i];
refEnd = end = schedule[i + 1];
Date paymentDate = isZero ? lastPaymentDate : calendar.adjust(end, paymentAdj);
if (i == 0 && !schedule.isRegular(i + 1))
{
refStart = calendar.adjust(end - schedule.tenor(), schedule.businessDayConvention());
}
if (i == n - 1 && !schedule.isRegular(i + 1))
{
refEnd = calendar.adjust(start + schedule.tenor(), schedule.businessDayConvention());
}
if (Utils.Get(gearings, i, 1) == 0) // fixed coupon
{
leg.Add(new FixedRateCoupon(Utils.Get(nominals, i),
paymentDate,
Utils.effectiveFixedRate(spreads, caps, floors, i),
paymentDayCounter,
start, end, refStart, refEnd));
}
else
{
if (Utils.noOption(caps, floors, i))
{
leg.Add(new FloatingCouponType().factory(Utils.Get(nominals, i),
paymentDate, start, end,
Utils.Get(fixingDays, i, index.fixingDays()),
index,
Utils.Get(gearings, i, 1),
Utils.Get(spreads, i),
refStart, refEnd, paymentDayCounter,
isInArrears));
}
else
{
leg.Add(new CappedFlooredCouponType().factory(Utils.Get(nominals, i),
paymentDate, start, end,
Utils.Get(fixingDays, i, index.fixingDays()),
index,
Utils.Get(gearings, i, 1),
Utils.Get(spreads, i),
Utils.toNullable(Utils.Get(caps, i, Double.MinValue)),
Utils.toNullable(Utils.Get(floors, i, Double.MinValue)),
refStart, refEnd, paymentDayCounter,
isInArrears));
}
}
}
return(leg);
}
public CPISwap(Type type,
double nominal,
bool subtractInflationNominal,
// float+spread leg
double spread,
DayCounter floatDayCount,
Schedule floatSchedule,
BusinessDayConvention floatPaymentRoll,
int fixingDays,
IborIndex floatIndex,
// fixed x inflation leg
double fixedRate,
double baseCPI,
DayCounter fixedDayCount,
Schedule fixedSchedule,
BusinessDayConvention fixedPaymentRoll,
Period observationLag,
ZeroInflationIndex fixedIndex,
InterpolationType observationInterpolation = InterpolationType.AsIndex,
double?inflationNominal = null)
: base(2)
{
type_ = type;
nominal_ = nominal;
subtractInflationNominal_ = subtractInflationNominal;
spread_ = spread;
floatDayCount_ = floatDayCount;
floatSchedule_ = floatSchedule;
floatPaymentRoll_ = floatPaymentRoll;
fixingDays_ = fixingDays;
floatIndex_ = floatIndex;
fixedRate_ = fixedRate;
baseCPI_ = baseCPI;
fixedDayCount_ = fixedDayCount;
fixedSchedule_ = fixedSchedule;
fixedPaymentRoll_ = fixedPaymentRoll;
fixedIndex_ = fixedIndex;
observationLag_ = observationLag;
observationInterpolation_ = observationInterpolation;
Utils.QL_REQUIRE(floatSchedule_.Count > 0, () => "empty float schedule");
Utils.QL_REQUIRE(fixedSchedule_.Count > 0, () => "empty fixed schedule");
// todo if roll!=unadjusted then need calendars ...
inflationNominal_ = inflationNominal ?? nominal_;
List <CashFlow> floatingLeg;
if (floatSchedule_.Count > 1)
{
floatingLeg = new IborLeg(floatSchedule_, floatIndex_)
.withFixingDays(fixingDays_)
.withPaymentDayCounter(floatDayCount_)
.withSpreads(spread_)
.withNotionals(nominal_)
.withPaymentAdjustment(floatPaymentRoll_);
}
else
{
floatingLeg = new List <CashFlow>();
}
if (floatSchedule_.Count == 1 ||
!subtractInflationNominal_ ||
(subtractInflationNominal && Math.Abs(nominal_ - inflationNominal_) > 0.00001)
)
{
Date payNotional;
if (floatSchedule_.Count == 1)
{
// no coupons
payNotional = floatSchedule_[0];
payNotional = floatSchedule_.calendar().adjust(payNotional, floatPaymentRoll_);
}
else
{
// use the pay date of the last coupon
payNotional = floatingLeg.Last().date();
}
double floatAmount = subtractInflationNominal_ ? nominal_ - inflationNominal_ : nominal_;
CashFlow nf = new SimpleCashFlow(floatAmount, payNotional);
floatingLeg.Add(nf);
}
// a CPIleg know about zero legs and inclusion of base inflation notional
List <CashFlow> cpiLeg = new CPILeg(fixedSchedule_, fixedIndex_, baseCPI_, observationLag_)
.withFixedRates(fixedRate_)
.withPaymentDayCounter(fixedDayCount_)
.withObservationInterpolation(observationInterpolation_)
.withSubtractInflationNominal(subtractInflationNominal_)
.withNotionals(inflationNominal_)
.withPaymentAdjustment(fixedPaymentRoll_);
foreach (CashFlow cashFlow in cpiLeg)
{
cashFlow.registerWith(update);
}
if (floatingLeg.Count > 0)
{
foreach (CashFlow cashFlow in floatingLeg)
{
cashFlow.registerWith(update);
}
}
legs_[0] = cpiLeg;
legs_[1] = floatingLeg;
if (type_ == Type.Payer)
{
payer_[0] = 1.0;
payer_[1] = -1.0;
}
else
{
payer_[0] = -1.0;
payer_[1] = 1.0;
}
}
public static List <CashFlow> FloatingDigitalLeg <InterestRateIndexType, FloatingCouponType, DigitalCouponType>(List <double> nominals,
Schedule schedule,
InterestRateIndexType index,
DayCounter paymentDayCounter,
BusinessDayConvention paymentAdj,
List <int> fixingDays,
List <double> gearings,
List <double> spreads,
bool isInArrears,
List <double> callStrikes,
Position.Type callPosition,
bool isCallATMIncluded,
List <double> callDigitalPayoffs,
List <double> putStrikes,
Position.Type putPosition,
bool isPutATMIncluded,
List <double> putDigitalPayoffs,
DigitalReplication replication)
where InterestRateIndexType : InterestRateIndex, new()
where FloatingCouponType : FloatingRateCoupon, new()
where DigitalCouponType : DigitalCoupon, new()
{
int n = schedule.Count;
if (nominals.Count == 0)
{
throw new ArgumentException("no nominal given");
}
if (nominals.Count > n)
{
throw new ArgumentException(
"too many nominals (" + nominals.Count + "), only " + n + " required");
}
if (gearings != null && gearings.Count > n)
{
throw new ArgumentException(
"too many gearings (" + gearings.Count + "), only " + n + " required");
}
if (spreads != null && spreads.Count > n)
{
throw new ArgumentException(
"too many spreads (" + spreads.Count + "), only " + n + " required");
}
if (callStrikes.Count > n)
{
throw new ArgumentException(
"too many nominals (" + callStrikes.Count + "), only " + n + " required");
}
if (putStrikes.Count > n)
{
throw new ArgumentException(
"too many nominals (" + putStrikes.Count + "), only " + n + " required");
}
List <CashFlow> leg = new List <CashFlow>();
// the following is not always correct
Calendar calendar = schedule.calendar();
Date refStart, start, refEnd, end;
Date paymentDate;
for (int i = 0; i < n; ++i)
{
refStart = start = schedule.date(i);
refEnd = end = schedule.date(i + 1);
paymentDate = calendar.adjust(end, paymentAdj);
if (i == 0 && !schedule.isRegular(i + 1))
{
BusinessDayConvention bdc = schedule.businessDayConvention();
refStart = calendar.adjust(end - schedule.tenor(), bdc);
}
if (i == n - 1 && !schedule.isRegular(i + 1))
{
BusinessDayConvention bdc = schedule.businessDayConvention();
refEnd = calendar.adjust(start + schedule.tenor(), bdc);
}
if (Utils.Get(gearings, i, 1.0) == 0.0) // fixed coupon
{
leg.Add(new
FixedRateCoupon(Utils.Get(nominals, i, 1.0),
paymentDate,
Utils.Get(spreads, i, 1.0),
paymentDayCounter,
start, end, refStart, refEnd));
}
else // floating digital coupon
{
FloatingCouponType underlying = new FloatingCouponType().factory(
Utils.Get(nominals, i, 1.0),
paymentDate, start, end,
Utils.Get(fixingDays, i, index.fixingDays()),
index,
Utils.Get(gearings, i, 1.0),
Utils.Get(spreads, i, 0.0),
refStart, refEnd,
paymentDayCounter, isInArrears) as FloatingCouponType;
DigitalCouponType digitalCoupon = new DigitalCouponType().factory(
underlying,
Utils.toNullable(Utils.Get(callStrikes, i, Double.MinValue)),
callPosition,
isCallATMIncluded,
Utils.toNullable(Utils.Get(callDigitalPayoffs, i, Double.MinValue)),
Utils.toNullable(Utils.Get(putStrikes, i, Double.MinValue)),
putPosition,
isPutATMIncluded,
Utils.toNullable(Utils.Get(putDigitalPayoffs, i, Double.MinValue)),
replication) as DigitalCouponType;
leg.Add(digitalCoupon);
}
}
return(leg);
}
//! calculate the reference date based on the global evaluation date
public LocalVolTermStructure(int settlementDays, Calendar cal, BusinessDayConvention bdc = BusinessDayConvention.Following,
DayCounter dc = null)
: base(settlementDays, cal, bdc, dc)
{
}
/* Generally inflation indices are available with a lag of 1month
* and then observed with a lag of 2-3 months depending whether
* they use an interpolated fixing or not. Here, we make the
* swap use the interpolation of the index to avoid incompatibilities.
*/
public ZeroCouponInflationSwap(Type type,
double nominal,
Date startDate, // start date of contract (only)
Date maturity, // this is pre-adjustment!
Calendar fixCalendar,
BusinessDayConvention fixConvention,
DayCounter dayCounter,
double fixedRate,
ZeroInflationIndex infIndex,
Period observationLag,
bool adjustInfObsDates = false,
Calendar infCalendar = null,
BusinessDayConvention?infConvention = null)
: base(2)
{
type_ = type;
nominal_ = nominal;
startDate_ = startDate;
maturityDate_ = maturity;
fixCalendar_ = fixCalendar;
fixConvention_ = fixConvention;
fixedRate_ = fixedRate;
infIndex_ = infIndex;
observationLag_ = observationLag;
adjustInfObsDates_ = adjustInfObsDates;
infCalendar_ = infCalendar;
dayCounter_ = dayCounter;
// first check compatibility of index and swap definitions
if (infIndex_.interpolated())
{
Period pShift = new Period(infIndex_.frequency());
Utils.QL_REQUIRE(observationLag_ - pShift > infIndex_.availabilityLag(), () =>
"inconsistency between swap observation of index " + observationLag_ +
" index availability " + infIndex_.availabilityLag() +
" interpolated index period " + pShift +
" and index availability " + infIndex_.availabilityLag() +
" need (obsLag-index period) > availLag");
}
else
{
Utils.QL_REQUIRE(infIndex_.availabilityLag() < observationLag_, () =>
"index tries to observe inflation fixings that do not yet exist: "
+ " availability lag " + infIndex_.availabilityLag()
+ " versus obs lag = " + observationLag_);
}
if (infCalendar_ == null)
{
infCalendar_ = fixCalendar_;
}
if (infConvention == null)
{
infConvention_ = fixConvention_;
}
else
{
infConvention_ = infConvention.Value;
}
if (adjustInfObsDates_)
{
baseDate_ = infCalendar_.adjust(startDate - observationLag_, infConvention_);
obsDate_ = infCalendar_.adjust(maturity - observationLag_, infConvention_);
}
else
{
baseDate_ = startDate - observationLag_;
obsDate_ = maturity - observationLag_;
}
Date infPayDate = infCalendar_.adjust(maturity, infConvention_);
Date fixedPayDate = fixCalendar_.adjust(maturity, fixConvention_);
// At this point the index may not be able to forecast
// i.e. do not want to force the existence of an inflation
// term structure before allowing users to create instruments.
double T = Utils.inflationYearFraction(infIndex_.frequency(), infIndex_.interpolated(),
dayCounter_, baseDate_, obsDate_);
// N.B. the -1.0 is because swaps only exchange growth, not notionals as well
double fixedAmount = nominal * (Math.Pow(1.0 + fixedRate, T) - 1.0);
legs_[0].Add(new SimpleCashFlow(fixedAmount, fixedPayDate));
bool growthOnly = true;
legs_[1].Add(new IndexedCashFlow(nominal, infIndex, baseDate_, obsDate_, infPayDate, growthOnly));
for (int j = 0; j < 2; ++j)
{
legs_[j].ForEach((i, x) => x.registerWith(update));
}
switch (type_)
{
case Type.Payer:
payer_[0] = +1.0;
payer_[1] = -1.0;
break;
case Type.Receiver:
payer_[0] = -1.0;
payer_[1] = +1.0;
break;
default:
Utils.QL_FAIL("Unknown zero-inflation-swap type");
break;
}
}
//! initialize with a fixed reference date
public LocalVolTermStructure(Date referenceDate, Calendar cal = null,
BusinessDayConvention bdc = BusinessDayConvention.Following, DayCounter dc = null)
: base(referenceDate, cal, bdc, dc)
{
}
// required for Handle
//public BlackVarianceCurve() { }
//public BlackVarianceCurve(Date referenceDate, List<Date> dates, List<double> blackVolCurve, DayCounter dayCounter,
// bool forceMonotoneVariance = true);
public BlackVarianceCurve(Date referenceDate, List <Date> dates, List <double> blackVolCurve, DayCounter dayCounter,
bool forceMonotoneVariance)
: base(referenceDate)
{
dayCounter_ = dayCounter;
maxDate_ = dates.Last();
if (!(dates.Count == blackVolCurve.Count))
{
throw new Exception("mismatch between date vector and black vol vector");
}
// cannot have dates[0]==referenceDate, since the
// value of the vol at dates[0] would be lost
// (variance at referenceDate must be zero)
if (!(dates[0] > referenceDate))
{
throw new Exception("cannot have dates[0] <= referenceDate");
}
variances_ = new InitializedList <double>(dates.Count + 1);
times_ = new InitializedList <double>(dates.Count + 1);
variances_[0] = 0.0;
times_[0] = 0.0;
for (int j = 1; j <= blackVolCurve.Count; j++)
{
times_[j] = timeFromReference(dates[j - 1]);
if (!(times_[j] > times_[j - 1]))
{
throw new Exception("dates must be sorted unique!");
}
variances_[j] = times_[j] * blackVolCurve[j - 1] * blackVolCurve[j - 1];
if (!(variances_[j] >= variances_[j - 1] || !forceMonotoneVariance))
{
throw new Exception("variance must be non-decreasing");
}
}
// default: linear interpolation
setInterpolation <Linear>();
}
