/src/quantlib/ql/pricingengines/basket/fd2dblackscholesvanillaengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2010 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 | | <https://www.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 | | #include <ql/exercise.hpp> |
21 | | #include <ql/methods/finitedifferences/solvers/fdm2dblackscholessolver.hpp> |
22 | | #include <ql/methods/finitedifferences/utilities/fdminnervaluecalculator.hpp> |
23 | | #include <ql/methods/finitedifferences/operators/fdmlinearoplayout.hpp> |
24 | | #include <ql/methods/finitedifferences/meshers/fdmmeshercomposite.hpp> |
25 | | #include <ql/methods/finitedifferences/stepconditions/fdmstepconditioncomposite.hpp> |
26 | | #include <ql/methods/finitedifferences/meshers/fdmblackscholesmesher.hpp> |
27 | | #include <ql/pricingengines/basket/fd2dblackscholesvanillaengine.hpp> |
28 | | |
29 | | namespace QuantLib { |
30 | | |
31 | | Fd2dBlackScholesVanillaEngine::Fd2dBlackScholesVanillaEngine( |
32 | | const ext::shared_ptr<GeneralizedBlackScholesProcess>& p1, |
33 | | const ext::shared_ptr<GeneralizedBlackScholesProcess>& p2, |
34 | | Real correlation, |
35 | | Size xGrid, Size yGrid, |
36 | | Size tGrid, Size dampingSteps, |
37 | | const FdmSchemeDesc& schemeDesc, |
38 | | bool localVol, |
39 | | Real illegalLocalVolOverwrite) |
40 | 0 | : p1_(p1), |
41 | 0 | p2_(p2), |
42 | 0 | correlation_(correlation), |
43 | 0 | xGrid_(xGrid), yGrid_(yGrid), tGrid_(tGrid), |
44 | 0 | dampingSteps_(dampingSteps), |
45 | 0 | schemeDesc_(schemeDesc), |
46 | 0 | localVol_(localVol), |
47 | 0 | illegalLocalVolOverwrite_(illegalLocalVolOverwrite) { |
48 | 0 | registerWith(p1); |
49 | 0 | registerWith(p2); |
50 | 0 | } |
51 | | |
52 | 0 | void Fd2dBlackScholesVanillaEngine::calculate() const { |
53 | | // 1. Payoff |
54 | 0 | const ext::shared_ptr<BasketPayoff> payoff = |
55 | 0 | ext::dynamic_pointer_cast<BasketPayoff>(arguments_.payoff); |
56 | | |
57 | | // 2. Mesher |
58 | 0 | const Time maturity = p1_->time(arguments_.exercise->lastDate()); |
59 | 0 | const ext::shared_ptr<Fdm1dMesher> em1( |
60 | 0 | new FdmBlackScholesMesher( |
61 | 0 | xGrid_, p1_, maturity, p1_->x0(), |
62 | 0 | Null<Real>(), Null<Real>(), 0.0001, 1.5, |
63 | 0 | std::pair<Real, Real>(p1_->x0(), 0.1))); |
64 | |
|
65 | 0 | const ext::shared_ptr<Fdm1dMesher> em2( |
66 | 0 | new FdmBlackScholesMesher( |
67 | 0 | yGrid_, p2_, maturity, p2_->x0(), |
68 | 0 | Null<Real>(), Null<Real>(), 0.0001, 1.5, |
69 | 0 | std::pair<Real, Real>(p2_->x0(), 0.1))); |
70 | |
|
71 | 0 | const ext::shared_ptr<FdmMesher> mesher ( |
72 | 0 | new FdmMesherComposite(em1, em2)); |
73 | | |
74 | | // 3. Calculator |
75 | 0 | const ext::shared_ptr<FdmInnerValueCalculator> calculator( |
76 | 0 | new FdmLogBasketInnerValue(payoff, mesher)); |
77 | | |
78 | | // 4. Step conditions |
79 | 0 | const ext::shared_ptr<FdmStepConditionComposite> conditions = |
80 | 0 | FdmStepConditionComposite::vanillaComposite( |
81 | 0 | DividendSchedule(), arguments_.exercise, |
82 | 0 | mesher, calculator, |
83 | 0 | p1_->riskFreeRate()->referenceDate(), |
84 | 0 | p1_->riskFreeRate()->dayCounter()); |
85 | | |
86 | | // 5. Boundary conditions |
87 | 0 | const FdmBoundaryConditionSet boundaries; |
88 | | |
89 | | // 6. Solver |
90 | 0 | const FdmSolverDesc solverDesc = { mesher, boundaries, |
91 | 0 | conditions, calculator, |
92 | 0 | maturity, tGrid_, dampingSteps_ }; |
93 | |
|
94 | 0 | ext::shared_ptr<Fdm2dBlackScholesSolver> solver( |
95 | 0 | new Fdm2dBlackScholesSolver( |
96 | 0 | Handle<GeneralizedBlackScholesProcess>(p1_), |
97 | 0 | Handle<GeneralizedBlackScholesProcess>(p2_), |
98 | 0 | correlation_, solverDesc, schemeDesc_, |
99 | 0 | localVol_, illegalLocalVolOverwrite_)); |
100 | |
|
101 | 0 | const Real x = p1_->x0(); |
102 | 0 | const Real y = p2_->x0(); |
103 | |
|
104 | 0 | results_.value = solver->valueAt(x, y); |
105 | 0 | results_.delta = solver->deltaXat(x, y) + solver->deltaYat(x, y); |
106 | 0 | results_.gamma = solver->gammaXat(x, y) + solver->gammaYat(x, y) |
107 | 0 | + 2*solver->gammaXYat(x, y); |
108 | 0 | results_.theta = solver->thetaAt(x, y); |
109 | 0 | } |
110 | | } |