# QuantLib_TwoFactorModel_ShortRateDynamics (3) - Linux Manuals

## NAME

QuantLib::TwoFactorModel::ShortRateDynamics - Class describing the dynamics of the two state variables.

## SYNOPSIS

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

Inherited by Dynamics.

### Public Member Functions

ShortRateDynamics (const boost::shared_ptr< StochasticProcess1D > &xProcess, const boost::shared_ptr< StochasticProcess1D > &yProcess, Real correlation)

virtual Rate shortRate (Time t, Real x, Real y) const =0

const boost::shared_ptr< StochasticProcess1D > & xProcess () const
Risk-neutral dynamics of the first state variable x.
const boost::shared_ptr< StochasticProcess1D > & yProcess () const
Risk-neutral dynamics of the second state variable y.
Real correlation () const
Correlation \$ ho \$ between the two brownian motions.
boost::shared_ptr< StochasticProcess > process () 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 + igma_x(t, x_t) dW_t^x ] and [ y_t = mu_y(t,y_t)dt + igma_y(t, y_t) dW_t^y ] where \$ W^x \$ and \$ W^y \$ are two brownian motions satisfying [ dW^x_t dW^y_t = ho dt ].

## Author

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