QuantLib: a free/open-source library for quantitative finance
Reference manual - version 1.40
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ExtendedCoxIngersollRoss Class Reference

Extended Cox-Ingersoll-Ross model class. More...

#include <ql/models/shortrate/onefactormodels/extendedcoxingersollross.hpp>

Inheritance diagram for ExtendedCoxIngersollRoss:

Classes

class  Dynamics
 Short-rate dynamics in the extended Cox-Ingersoll-Ross model. More...
class  FittingParameter
 Analytical term-structure fitting parameter \( \varphi(t) \). More...

Public Member Functions

 ExtendedCoxIngersollRoss (const Handle< YieldTermStructure > &termStructure, Real theta=0.1, Real k=0.1, Real sigma=0.1, Real x0=0.05, bool withFellerConstraint=true)
ext::shared_ptr< Latticetree (const TimeGrid &grid) const override
ext::shared_ptr< ShortRateDynamicsdynamics () const override
 returns the short-rate dynamics
Real discountBondOption (Option::Type type, Real strike, Time maturity, Time bondMaturity) const override
Public Member Functions inherited from CoxIngersollRoss
 CoxIngersollRoss (Rate r0=0.05, Real theta=0.1, Real k=0.1, Real sigma=0.1, bool withFellerConstraint=true)
Public Member Functions inherited from OneFactorAffineModel
 OneFactorAffineModel (Size nArguments)
Real discountBond (Time now, Time maturity, Array factors) const override
Real discountBond (Time now, Time maturity, Rate rate) const
DiscountFactor discount (Time t) const override
 Implied discount curve.
Public Member Functions inherited from OneFactorModel
 OneFactorModel (Size nArguments)
ext::shared_ptr< Latticetree (const TimeGrid &grid) const override
 Return by default a trinomial recombining tree.
Public Member Functions inherited from ShortRateModel
 ShortRateModel (Size nArguments)
Public Member Functions inherited from CalibratedModel
 CalibratedModel (Size nArguments)
void update () override
virtual void calibrate (const std::vector< ext::shared_ptr< CalibrationHelper > > &, OptimizationMethod &method, const EndCriteria &endCriteria, const Constraint &constraint=Constraint(), const std::vector< Real > &weights=std::vector< Real >(), const std::vector< bool > &fixParameters=std::vector< bool >())
 Calibrate to a set of market instruments (usually caps/swaptions)
Real value (const Array &params, const std::vector< ext::shared_ptr< CalibrationHelper > > &)
const ext::shared_ptr< Constraint > & constraint () const
EndCriteria::Type endCriteria () const
 Returns end criteria result.
const ArrayproblemValues () const
 Returns the problem values.
Array params () const
 Returns array of arguments on which calibration is done.
virtual void setParams (const Array &params)
Integer functionEvaluation () const
Public Member Functions inherited from Observer
 Observer (const Observer &)
Observeroperator= (const Observer &)
std::pair< iterator, bool > registerWith (const ext::shared_ptr< Observable > &)
void registerWithObservables (const ext::shared_ptr< Observer > &)
Size unregisterWith (const ext::shared_ptr< Observable > &)
void unregisterWithAll ()
virtual void deepUpdate ()
Public Member Functions inherited from Observable
 Observable (const Observable &)
Observableoperator= (const Observable &)
 Observable (Observable &&)=delete
Observableoperator= (Observable &&)=delete
void notifyObservers ()
Public Member Functions inherited from AffineModel
virtual Real discountBondOption (Option::Type type, Real strike, Time maturity, Time bondStart, Time bondMaturity) const
Public Member Functions inherited from TermStructureConsistentModel
 TermStructureConsistentModel (Handle< YieldTermStructure > termStructure)
const Handle< YieldTermStructure > & termStructure () const

Protected Member Functions

void generateArguments () override
Real A (Time t, Time T) const override
Protected Member Functions inherited from CoxIngersollRoss
Real B (Time t, Time T) const override
Real theta () const
Real k () const
Real sigma () const
Real x0 () const

Additional Inherited Members

Public Types inherited from Observer
typedef set_type::iterator iterator
Protected Attributes inherited from CalibratedModel
std::vector< Parameterarguments_
ext::shared_ptr< Constraintconstraint_
EndCriteria::Type shortRateEndCriteria_ = EndCriteria::None
Array problemValues_
Integer functionEvaluation_

Detailed Description

Extended Cox-Ingersoll-Ross model class.

This class implements the extended Cox-Ingersoll-Ross model defined by

\[ r(t) = \varphi(t)+y(t) \]

where \( \varphi(t) \) is the deterministic time-dependent parameter used for term-structure fitting and \( y_t \) is a standard CIR process.

Bug
this class was not tested enough to guarantee its functionality.

Member Function Documentation

◆ tree()

ext::shared_ptr< Lattice > tree ( const TimeGrid & grid) const
overridevirtual

Reimplemented from CoxIngersollRoss.

◆ dynamics()

ext::shared_ptr< OneFactorModel::ShortRateDynamics > dynamics ( ) const
overridevirtual

returns the short-rate dynamics

Reimplemented from CoxIngersollRoss.

◆ discountBondOption()

Real discountBondOption ( Option::Type type,
Real strike,
Time maturity,
Time bondMaturity ) const
overridevirtual

Reimplemented from CoxIngersollRoss.

◆ generateArguments()

void generateArguments ( )
overrideprotectedvirtual

Reimplemented from CalibratedModel.

◆ A()

Real A ( Time t,
Time T ) const
overrideprotectedvirtual

Reimplemented from CoxIngersollRoss.