QuantLib: a free/open-source library for quantitative finance
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lmlinexpcorrmodel.hpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2006 Klaus Spanderen
5
6 This file is part of QuantLib, a free-software/open-source library
7 for financial quantitative analysts and developers - http://quantlib.org/
8
9 QuantLib is free software: you can redistribute it and/or modify it
10 under the terms of the QuantLib license. You should have received a
11 copy of the license along with this program; if not, please email
12 <quantlib-dev@lists.sf.net>. The license is also available online at
13 <http://quantlib.org/license.shtml>.
14
15 This program is distributed in the hope that it will be useful, but WITHOUT
16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
17 FOR A PARTICULAR PURPOSE. See the license for more details.
18*/
19
20/*! \file lmlinexpcorrmodel.hpp
21 \brief exponential correlation model for libor market models
22*/
23
24#ifndef quantlib_libor_forward_linear_exp_correlation_model_hpp
25#define quantlib_libor_forward_linear_exp_correlation_model_hpp
26
28
29namespace QuantLib {
30
31 //! %linear exponential correlation model
32 /*! This class describes a exponential correlation model
33
34 \f[
35 \rho_{i,j}=rho + (1-rho)*e^{(-\beta \|i-j\|)}
36 \f]
37
38 References:
39
40 Damiano Brigo, Fabio Mercurio, Massimo Morini, 2003,
41 Different Covariance Parameterizations of Libor Market Model and Joint
42 Caps/Swaptions Calibration,
43 (<http://www.business.uts.edu.au/qfrc/conferences/qmf2001/Brigo_D.pdf>)
44 */
46 public:
49
50 Matrix correlation(Time t, const Array& x = Null<Array>()) const override;
51 Matrix pseudoSqrt(Time t, const Array& x = Null<Array>()) const override;
52 Real correlation(Size i, Size j, Time t, const Array& x) const override;
53
54 Size factors() const override;
55 bool isTimeIndependent() const override;
56
57 protected:
58 void generateArguments() override;
59
60 private:
63 };
64
65}
66
67
68#endif
69
1-D array used in linear algebra.
Definition: array.hpp:52
libor forward correlation model
Definition: lmcorrmodel.hpp:35
virtual Size size() const
Definition: lmcorrmodel.cpp:28
linear exponential correlation model
Matrix pseudoSqrt(Time t, const Array &x=Null< Array >()) const override
Matrix correlation(Time t, const Array &x=Null< Array >()) const override
Matrix used in linear algebra.
Definition: matrix.hpp:41
template class providing a null value for a given type.
Definition: null.hpp:76
const DefaultType & t
Real Time
continuous quantity with 1-year units
Definition: types.hpp:62
QL_REAL Real
real number
Definition: types.hpp:50
std::size_t Size
size of a container
Definition: types.hpp:58
Real rho
correlation model for libor market models
Definition: any.hpp:35
Real beta
Definition: sabr.cpp:200