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

Piecewise time dependent Heston model. More...

#include <ql/models/equity/piecewisetimedependenthestonmodel.hpp>

Inheritance diagram for PiecewiseTimeDependentHestonModel:

Public Member Functions

 PiecewiseTimeDependentHestonModel (const Handle< YieldTermStructure > &riskFreeRate, const Handle< YieldTermStructure > &dividendYield, const Handle< Quote > &s0, Real v0, const Parameter &theta, const Parameter &kappa, const Parameter &sigma, const Parameter &rho, TimeGrid timeGrid)
Real theta (Time t) const
Real kappa (Time t) const
Real sigma (Time t) const
Real rho (Time t) const
Real v0 () const
Real s0 () const
const TimeGridtimeGrid () const
const Handle< YieldTermStructure > & dividendYield () const
const Handle< YieldTermStructure > & riskFreeRate () const
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 ()

Protected Attributes

const Handle< Quotes0_
const Handle< YieldTermStructureriskFreeRate_
const Handle< YieldTermStructuredividendYield_
const TimeGrid timeGrid_
Protected Attributes inherited from CalibratedModel
std::vector< Parameterarguments_
ext::shared_ptr< Constraintconstraint_
EndCriteria::Type shortRateEndCriteria_ = EndCriteria::None
Array problemValues_
Integer functionEvaluation_

Additional Inherited Members

Public Types inherited from Observer
typedef set_type::iterator iterator
Protected Member Functions inherited from CalibratedModel
virtual void generateArguments ()

Detailed Description

Piecewise time dependent Heston model.

References:

Heston, Steven L., 1993. A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. The review of Financial Studies, Volume 6, Issue 2, 327-343.

A. Elices, Models with time-dependent parameters using transform methods: application to Heston’s model, http://arxiv.org/pdf/0708.2020