COSHestonEngine Class Reference

COS-method Heston engine based on efficient Fourier series expansions. More...

#include <ql/pricingengines/vanilla/coshestonengine.hpp>

Inheritance diagram for COSHestonEngine:

Public Member Functions
	COSHestonEngine (const ext::shared_ptr< HestonModel > &model, Real L=16, Size N=200)
void	update () override
void	calculate () const override
std::complex< Real >	chF (Real u, Real t) const
Real	c1 (Time t) const
Real	c2 (Time t) const
Real	c3 (Time t) const
Real	c4 (Time t) const
Real	mu (Time t) const
Real	var (Time t) const
Real	skew (Time t) const
Real	kurtosis (Time t) const
Public Member Functions inherited from GenericModelEngine< HestonModel, VanillaOption::arguments, VanillaOption::results >
	GenericModelEngine (Handle< HestonModel > model=Handle< HestonModel >())
Public Member Functions inherited from GenericEngine< VanillaOption::arguments, VanillaOption::results >
PricingEngine::arguments *	getArguments () const override
const PricingEngine::results *	getResults () const override
void	reset () override
void	update () override
Public Member Functions inherited from Observable
	Observable (const Observable &)
Observable &	operator= (const Observable &)
	Observable (Observable &&)=delete
Observable &	operator= (Observable &&)=delete
void	notifyObservers ()
Public Member Functions inherited from Observer
	Observer (const Observer &)
Observer &	operator= (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 ()

Additional Inherited Members
Public Types inherited from Observer
typedef set_type::iterator	iterator
Protected Attributes inherited from GenericModelEngine< HestonModel, VanillaOption::arguments, VanillaOption::results >
Handle< HestonModel >	model_
Protected Attributes inherited from GenericEngine< VanillaOption::arguments, VanillaOption::results >
VanillaOption::arguments	arguments_
VanillaOption::results	results_

Detailed Description

COS-method Heston engine based on efficient Fourier series expansions.

References:

F. Fang, C.W. Oosterlee: A Novel Pricing Method for European Ooptions based on Fourier-Cosine Series Expansions, http://ta.twi.tudelft.nl/mf/users/oosterle/oosterlee/COS.pdf

Fabien Le Floc'h: Fourier Integration and Stochastic Volatility Calibration, https://papers.ssrn.com/sol3/papers2.cfm?abstract_id=2362968

Tests

the correctness of the returned value is tested by reproducing results available in web/literature and comparison with Black pricing.

Member Function Documentation

update()

void update ( )

overridevirtual

This method must be implemented in derived classes. An instance of Observer does not call this method directly: instead, it will be called by the observables the instance registered with when they need to notify any changes.

Implements Observer.

calculate()

void calculate ( ) const

overridevirtual

Implements PricingEngine.