/src/quantlib/ql/processes/squarerootprocess.hpp
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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 | | |
22 | | /*! \file squarerootprocess.hpp |
23 | | \brief square-root process |
24 | | */ |
25 | | |
26 | | #ifndef quantlib_square_root_process_hpp |
27 | | #define quantlib_square_root_process_hpp |
28 | | |
29 | | #include <ql/stochasticprocess.hpp> |
30 | | #include <ql/processes/eulerdiscretization.hpp> |
31 | | |
32 | | namespace QuantLib { |
33 | | |
34 | | //! Square-root process class |
35 | | /*! This class describes a square-root process governed by |
36 | | \f[ |
37 | | dx = a (b - x_t) dt + \sigma \sqrt{x_t} dW_t. |
38 | | \f] |
39 | | |
40 | | \ingroup processes |
41 | | */ |
42 | | class SquareRootProcess : public StochasticProcess1D { |
43 | | public: |
44 | | SquareRootProcess( |
45 | | Real b, Real a, Volatility sigma, Real x0 = 0.0, |
46 | | const ext::shared_ptr<discretization>& d = |
47 | | ext::shared_ptr<discretization>(new EulerDiscretization)); |
48 | | //! \name StochasticProcess interface |
49 | | //@{ |
50 | | Real x0() const override; |
51 | | Real drift(Time t, Real x) const override; |
52 | | Real diffusion(Time t, Real x) const override; |
53 | | //@} |
54 | | |
55 | 0 | Real a() const { return speed_; } |
56 | 0 | Real b() const { return mean_; } |
57 | 0 | Real sigma() const { return volatility_; } |
58 | | private: |
59 | | Real x0_, mean_, speed_; |
60 | | Volatility volatility_; |
61 | | }; |
62 | | |
63 | | } |
64 | | |
65 | | |
66 | | #endif |