/*
Copyright (C) 2009 Ueli Hofstetter
This source code is release under the BSD License.
This file is part of JQuantLib, a free-software/open-source library
for financial quantitative analysts and developers - http://jquantlib.org/
JQuantLib is free software: you can redistribute it and/or modify it
under the terms of the JQuantLib 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.
JQuantLib is based on QuantLib. http://quantlib.org/
When applicable, the original copyright notice follows this notice.
*/
package org.jquantlib.processes;
/**
* Geometric brownian-motion process
*
* This class describes the stochastic process governed by
*
*
{@latex[ dS(t, S) = \mu S dt + \sigma S dW_t }
*
* @category processes
*
* @author Ueli Hofstetter
*/
public class GeometricBrownianMotionProcess extends StochasticProcess1D {
protected double initialValue_;
protected double mue_;
protected double sigma_;
public GeometricBrownianMotionProcess(
final double initialValue,
final double mue,
final double sigma) {
this.sigma_ = sigma;
this.initialValue_ = initialValue;
this.mue_ = mue;
}
@Override
public double diffusion(
final double t,
final double x) {
return sigma_ * x;
}
@Override
public double drift(
final double t,
final double x) {
return mue_ * x;
}
@Override
public double x0() {
return initialValue_;
}
}
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