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Public Member Functions | Private Member Functions | Private Attributes | List of all members
AnalyticPDFHestonEngine Class Reference

Analytic engine for arbitrary European payoffs under the Heston model. More...

#include <analyticpdfhestonengine.hpp>

+ Inheritance diagram for AnalyticPDFHestonEngine:
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Public Member Functions

 AnalyticPDFHestonEngine (ext::shared_ptr< HestonModel > model, Real gaussLobattoEps=1e-6, Size gaussLobattoIntegrationOrder=10000UL)
 
void calculate () const override
 
Real Pv (Real x_t, Time t) const
 
Real cdf (Real X, Time t) const
 
- Public Member Functions inherited from GenericModelEngine< HestonModel, VanillaOption::arguments, VanillaOption::results >
 GenericModelEngine (Handle< HestonModel > model=Handle< HestonModel >())
 
 GenericModelEngine (const ext::shared_ptr< HestonModel > &model)
 
- Public Member Functions inherited from GenericEngine< ArgumentsType, ResultsType >
PricingEngine::argumentsgetArguments () const override
 
const PricingEngine::resultsgetResults () const override
 
void reset () override
 
void update () override
 
- Public Member Functions inherited from PricingEngine
 ~PricingEngine () override=default
 
virtual argumentsgetArguments () const =0
 
virtual const resultsgetResults () const =0
 
virtual void reset ()=0
 
virtual void calculate () const =0
 
- Public Member Functions inherited from Observable
 Observable ()
 
 Observable (const Observable &)
 
Observableoperator= (const Observable &)
 
 Observable (Observable &&)=delete
 
Observableoperator= (Observable &&)=delete
 
virtual ~Observable ()=default
 
void notifyObservers ()
 
- Public Member Functions inherited from Observer
 Observer ()=default
 
 Observer (const Observer &)
 
Observeroperator= (const Observer &)
 
virtual ~Observer ()
 
std::pair< iterator, boolregisterWith (const ext::shared_ptr< Observable > &)
 
void registerWithObservables (const ext::shared_ptr< Observer > &)
 
Size unregisterWith (const ext::shared_ptr< Observable > &)
 
void unregisterWithAll ()
 
virtual void update ()=0
 
virtual void deepUpdate ()
 

Private Member Functions

Real weightedPayoff (Real x_t, Time t) const
 

Private Attributes

const Size maxIntegrationIterations_
 
const Real integrationEps_
 
const ext::shared_ptr< HestonModelmodel_
 

Additional Inherited Members

- Public Types inherited from Observer
typedef set_type::iterator iterator
 
- Protected Attributes inherited from GenericModelEngine< HestonModel, VanillaOption::arguments, VanillaOption::results >
Handle< HestonModelmodel_
 
- Protected Attributes inherited from GenericEngine< ArgumentsType, ResultsType >
ArgumentsType arguments_
 
ResultsType results_
 

Detailed Description

Analytic engine for arbitrary European payoffs under the Heston model.

References:

The formulas are taken from A. Dragulescu, V. Yakovenko, 2002. Probability distribution of returns in the Heston model with stochastic volatility. http://arxiv.org/pdf/cond-mat/0203046.pdf

Tests:
the correctness of the returned value is tested by reproducing digital prices using call spreads and the AnalyticHestonEngine.

Definition at line 47 of file analyticpdfhestonengine.hpp.

Constructor & Destructor Documentation

◆ AnalyticPDFHestonEngine()

AnalyticPDFHestonEngine ( ext::shared_ptr< HestonModel model,
Real  gaussLobattoEps = 1e-6,
Size  gaussLobattoIntegrationOrder = 10000UL 
)
explicit

Definition at line 31 of file analyticpdfhestonengine.cpp.

Member Function Documentation

◆ calculate()

void calculate ( ) const
overridevirtual

Implements PricingEngine.

Definition at line 37 of file analyticpdfhestonengine.cpp.

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◆ Pv()

Real Pv ( Real  x_t,
Time  t 
) const

Definition at line 61 of file analyticpdfhestonengine.cpp.

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◆ cdf()

Real cdf ( Real  X,
Time  t 
) const

Definition at line 67 of file analyticpdfhestonengine.cpp.

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◆ weightedPayoff()

Real weightedPayoff ( Real  x_t,
Time  t 
) const
private

Definition at line 74 of file analyticpdfhestonengine.cpp.

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Member Data Documentation

◆ maxIntegrationIterations_

const Size maxIntegrationIterations_
private

Definition at line 67 of file analyticpdfhestonengine.hpp.

◆ integrationEps_

const Real integrationEps_
private

Definition at line 68 of file analyticpdfhestonengine.hpp.

◆ model_

const ext::shared_ptr<HestonModel> model_
private

Definition at line 70 of file analyticpdfhestonengine.hpp.