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Public Member Functions | List of all members
LmExtLinearExponentialVolModel Class Reference

extended linear exponential volatility model More...

#include <ql/legacy/libormarketmodels/lmextlinexpvolmodel.hpp>

+ Inheritance diagram for LmExtLinearExponentialVolModel:
+ Collaboration diagram for LmExtLinearExponentialVolModel:

Public Member Functions

 LmExtLinearExponentialVolModel (const std::vector< Time > &fixingTimes, Real a, Real b, Real c, Real d)
 
Array volatility (Time t, const Array &x=Null< Array >()) const override
 
Volatility volatility (Size i, Time t, const Array &x=Null< Array >()) const override
 
Real integratedVariance (Size i, Size j, Time u, const Array &x=Null< Array >()) const override
 
- Public Member Functions inherited from LmLinearExponentialVolatilityModel
 LmLinearExponentialVolatilityModel (const std::vector< Time > &fixingTimes, Real a, Real b, Real c, Real d)
 
Array volatility (Time t, const Array &x=Null< Array >()) const override
 
Volatility volatility (Size i, Time t, const Array &x=Null< Array >()) const override
 
Real integratedVariance (Size i, Size j, Time u, const Array &x=Null< Array >()) const override
 
- Public Member Functions inherited from LmVolatilityModel
 LmVolatilityModel (Size size, Size nArguments)
 
virtual ~LmVolatilityModel ()=default
 
Size size () const
 
std::vector< Parameter > & params ()
 
void setParams (const std::vector< Parameter > &arguments)
 
virtual Array volatility (Time t, const Array &x=Null< Array >()) const =0
 
virtual Volatility volatility (Size i, Time t, const Array &x=Null< Array >()) const
 
virtual Real integratedVariance (Size i, Size j, Time u, const Array &x=Null< Array >()) const
 

Additional Inherited Members

- Protected Attributes inherited from LmVolatilityModel
const Size size_
 
std::vector< Parameterarguments_
 

Detailed Description

extended linear exponential volatility model

This class describes an extended linear-exponential volatility model

\[ \sigma_i(t)=k_i*((a*(T_{i}-t)+d)*e^{-b(T_{i}-t)}+c) \]

References:

Damiano Brigo, Fabio Mercurio, Massimo Morini, 2003, Different Covariance Parameterizations of Libor Market Model and Joint Caps/Swaptions Calibration, (http://www.business.uts.edu.au/qfrc/conferences/qmf2001/Brigo_D.pdf)

Definition at line 46 of file lmextlinexpvolmodel.hpp.

Constructor & Destructor Documentation

◆ LmExtLinearExponentialVolModel()

LmExtLinearExponentialVolModel ( const std::vector< Time > &  fixingTimes,
Real  a,
Real  b,
Real  c,
Real  d 
)

Definition at line 24 of file lmextlinexpvolmodel.cpp.

Member Function Documentation

◆ volatility() [1/2]

Array volatility ( Time  t,
const Array x = Null<Array>() 
) const
overridevirtual

Implements LmVolatilityModel.

Definition at line 36 of file lmextlinexpvolmodel.cpp.

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◆ volatility() [2/2]

Volatility volatility ( Size  i,
Time  t,
const Array x = Null<Array>() 
) const
overridevirtual

Reimplemented from LmVolatilityModel.

Definition at line 46 of file lmextlinexpvolmodel.cpp.

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◆ integratedVariance()

Real integratedVariance ( Size  i,
Size  j,
Time  u,
const Array x = Null<Array>() 
) const
overridevirtual

Reimplemented from LmVolatilityModel.

Definition at line 52 of file lmextlinexpvolmodel.cpp.

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