QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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geometricbrownianprocess.cpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2003 Ferdinando Ametrano
5 Copyright (C) 2001, 2002, 2003 Sadruddin Rejeb
6 Copyright (C) 2004, 2005 StatPro Italia srl
7
8 This file is part of QuantLib, a free-software/open-source library
9 for financial quantitative analysts and developers - http://quantlib.org/
10
11 QuantLib is free software: you can redistribute it and/or modify it
12 under the terms of the QuantLib license. You should have received a
13 copy of the license along with this program; if not, please email
14 <quantlib-dev@lists.sf.net>. The license is also available online at
15 <http://quantlib.org/license.shtml>.
16
17 This program is distributed in the hope that it will be useful, but WITHOUT
18 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
19 FOR A PARTICULAR PURPOSE. See the license for more details.
20*/
21
24
25namespace QuantLib {
26
28 Real initialValue,
29 Real mue,
30 Real sigma)
31 : StochasticProcess1D(ext::shared_ptr<discretization>(
33 initialValue_(initialValue), mue_(mue), sigma_(sigma) {}
34
36 return initialValue_;
37 }
38
40 return mue_ * x;
41 }
42
44 return sigma_ * x;
45 }
46
47}
Euler discretization for stochastic processes.
Real diffusion(Time t, Real x) const override
returns the diffusion part of the equation, i.e.
Real drift(Time t, Real x) const override
returns the drift part of the equation, i.e.
GeometricBrownianMotionProcess(Real initialValue, Real mue, Real sigma)
Real x0() const override
returns the initial value of the state variable
1-dimensional stochastic process
discretization of a stochastic process over a given time interval
Euler discretization for stochastic processes.
Geometric Brownian-motion process.
Real Time
continuous quantity with 1-year units
Definition: types.hpp:62
QL_REAL Real
real number
Definition: types.hpp:50
Real sigma
Definition: any.hpp:35