# QuantLib_HullWhite_Dynamics man page

HullWhite::Dynamics — Short-rate dynamics in the Hull-White model.

## Synopsis

`#include <ql/models/shortrate/onefactormodels/hullwhite.hpp>`

Inherits **OneFactorModel::ShortRateDynamics**.

### Public Member Functions

Dynamics(constParameter&fitting,Reala,Realsigma)Real variable(Timet,Rater) const

Compute state variable from short rate.Real shortRate(Timet,Realx) const

Compute short rate from state variable.

## Detailed Description

Short-rate dynamics in the Hull-White model.

The short-rate is here [ r_t = varphi(t) + x_t ] where $ varphi(t) $ is the deterministic time-dependent parameter used for term-structure fitting and $ x_t $ is the state variable following an Ornstein-Uhlenbeck process.

## Author

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