/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ /* Copyright (C) 2003 Ferdinando Ametrano Copyright (C) 2001, 2002, 2003 Sadruddin Rejeb Copyright (C) 2004, 2005 StatPro Italia srl This file is part of QuantLib, a free-software/open-source library for financial quantitative analysts and developers - http://quantlib.org/ QuantLib is free software: you can redistribute it and/or modify it under the terms of the QuantLib license. You should have received a copy of the license along with this program; if not, please email . The license is also available online at . This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the license for more details. */ /*! \file ornsteinuhlenbeckprocess.hpp \brief Ornstein-Uhlenbeck process */ #ifndef quantlib_ornstein_uhlenbeck_process_hpp #define quantlib_ornstein_uhlenbeck_process_hpp #include namespace QuantLib { //! Ornstein-Uhlenbeck process class /*! This class describes the Ornstein-Uhlenbeck process governed by \f[ dx = a (r - x_t) dt + \sigma dW_t. \f] \ingroup processes */ class OrnsteinUhlenbeckProcess : public StochasticProcess1D { public: OrnsteinUhlenbeckProcess(Real speed, Volatility vol, Real x0 = 0.0, Real level = 0.0); //! \name StochasticProcess interface //@{ Real x0() const; Real speed() const; Real volatility() const; Real level() const; Real drift(Time t, Real x) const; Real diffusion(Time t, Real x) const; Real expectation(Time t0, Real x0, Time dt) const; Real stdDeviation(Time t0, Real x0, Time dt) const; Real variance(Time t0, Real x0, Time dt) const; //@} private: Real x0_, speed_, level_; Volatility volatility_; }; } #endif