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Created: 2025-08-05 06:45

/src/quantlib/ql/experimental/variancegamma/variancegammaprocess.hpp
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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
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/*
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Copyright (C) 2010 Adrian O' Neill
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This file is part of QuantLib, a free-software/open-source library
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for financial quantitative analysts and developers - http://quantlib.org/
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QuantLib is free software: you can redistribute it and/or modify it
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under the terms of the QuantLib license.  You should have received a
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copy of the license along with this program; if not, please email
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<quantlib-dev@lists.sf.net>. The license is also available online at
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<http://quantlib.org/license.shtml>.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE.  See the license for more details.
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*/
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/*! \file variancegammaprocess.hpp
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    \brief Variance Gamma stochastic process
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*/
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#ifndef quantlib_variance_gamma_process_hpp
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#define quantlib_variance_gamma_process_hpp
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#include <ql/stochasticprocess.hpp>
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#include <ql/termstructures/yieldtermstructure.hpp>
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#include <ql/quote.hpp>
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namespace QuantLib {
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    //! Variance gamma process
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    /*! This class describes the stochastic volatility
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    process.  With a Brownian motion given by
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    \f[
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        db = \theta dt + \sigma dW_t
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    \f]
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    then a Variance Gamma process X is defined by evaluating this
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    Brownian motion at sample times driven by a Gamma process. If T is
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    the value of a Gamma process with mean 1 and variance rate \f$ \nu
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    \f$ then the Variance Gamma process is given by
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    \f[
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        X(t) = B(T)
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    \f]
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    \ingroup processes
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    */
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    class VarianceGammaProcess : public StochasticProcess1D {
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    public:
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      VarianceGammaProcess(Handle<Quote> s0,
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                           Handle<YieldTermStructure> dividendYield,
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                           Handle<YieldTermStructure> riskFreeRate,
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                           Real sigma,
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                           Real nu,
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                           Real theta);
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      Real x0() const override;
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      Real drift(Time t, Real x) const override;
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      Real diffusion(Time t, Real x) const override;
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      Real sigma() const { return sigma_; }
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      Real nu() const { return nu_; }
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      Real theta() const { return theta_; }
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      const Handle<Quote>& s0() const;
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      const Handle<YieldTermStructure>& dividendYield() const;
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      const Handle<YieldTermStructure>& riskFreeRate() const;
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    private:
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        Handle<Quote> s0_;
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        Handle<YieldTermStructure> dividendYield_, riskFreeRate_;
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        Real sigma_, nu_, theta_;
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    };
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}
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#endif
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