QuantLib
A free/open-source library for quantitative finance
Reference manual - version 1.20
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TwoFactorModel::ShortRateDynamics Class Referenceabstract

Class describing the dynamics of the two state variables. More...

#include <ql/models/shortrate/twofactormodel.hpp>

Inherited by G2::Dynamics.

Public Member Functions

 ShortRateDynamics (const ext::shared_ptr< StochasticProcess1D > &xProcess, const ext::shared_ptr< StochasticProcess1D > &yProcess, Real correlation)
 
virtual Rate shortRate (Time t, Real x, Real y) const =0
 
const ext::shared_ptr< StochasticProcess1D > & xProcess () const
 Risk-neutral dynamics of the first state variable x.
 
const ext::shared_ptr< StochasticProcess1D > & yProcess () const
 Risk-neutral dynamics of the second state variable y.
 
Real correlation () const
 Correlation \( \rho \) between the two brownian motions.
 
ext::shared_ptr< StochasticProcessprocess () const
 Joint process of the two variables.
 

Detailed Description

Class describing the dynamics of the two state variables.

We assume here that the short-rate is a function of two state variables x and y.

\[ r_t = f(t, x_t, y_t) \]

of two state variables \( x_t \) and \( y_t \). These stochastic processes satisfy

\[ x_t = \mu_x(t, x_t)dt + \sigma_x(t, x_t) dW_t^x \]

and

\[ y_t = \mu_y(t,y_t)dt + \sigma_y(t, y_t) dW_t^y \]

where \( W^x \) and \( W^y \) are two brownian motions satisfying

\[ dW^x_t dW^y_t = \rho dt \]

.