QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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bsmoperator.cpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2000, 2001, 2002, 2003 RiskMap srl
5 Copyright (C) 2003, 2004, 2005, 2006 StatPro Italia srl
6
7 This file is part of QuantLib, a free-software/open-source library
8 for financial quantitative analysts and developers - http://quantlib.org/
9
10 QuantLib is free software: you can redistribute it and/or modify it
11 under the terms of the QuantLib license. You should have received a
12 copy of the license along with this program; if not, please email
13 <quantlib-dev@lists.sf.net>. The license is also available online at
14 <http://quantlib.org/license.shtml>.
15
16 This program is distributed in the hope that it will be useful, but WITHOUT
17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
18 FOR A PARTICULAR PURPOSE. See the license for more details.
19*/
20
24
25namespace QuantLib {
26
29 : TridiagonalOperator(size) {
30 Real sigma2 = sigma*sigma;
31 Real nu = r-q-sigma2/2;
32 Real pd = -(sigma2/dx-nu)/(2*dx);
33 Real pu = -(sigma2/dx+nu)/(2*dx);
34 Real pm = sigma2/(dx*dx)+r;
35 setMidRows(pd,pm,pu);
36 }
37
40 : TridiagonalOperator(grid.size()) {
41 PdeBSM::grid_type logGrid(grid);
42 Real sigma2 = sigma*sigma;
43 Real nu = r-q-sigma2/2;
44 for (Size i=1; i<logGrid.size()-1; ++i) {
45 Real pd = -(sigma2/logGrid.dxm(i)-nu)/logGrid.dx(i);
46 Real pu = -(sigma2/logGrid.dxp(i)+nu)/logGrid.dx(i);
47 Real pm = sigma2/(logGrid.dxm(i)*logGrid.dxp(i)) + r;
48 setMidRow(i,pd,pm,pu);
49 }
50 }
51
52}
differential operator for Black-Scholes-Merton equation
1-D array used in linear algebra.
Definition: array.hpp:52
Base implementation for tridiagonal operator.
void setMidRow(Size, Real, Real, Real)
QL_REAL Real
real number
Definition: types.hpp:50
Real Volatility
volatility
Definition: types.hpp:78
Real Rate
interest rates
Definition: types.hpp:70
std::size_t Size
size of a container
Definition: types.hpp:58
Real sigma
Definition: any.hpp:35
Black-Scholes-Merton PDE.
ext::shared_ptr< YieldTermStructure > q
ext::shared_ptr< YieldTermStructure > r
Real nu
Definition: sabr.cpp:200
encapuslates a grid