/src/quantlib/ql/pricingengines/barrier/fdblackscholesrebateengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2008 Andreas Gaida |
5 | | Copyright (C) 2008, 2009 Ralph Schreyer |
6 | | Copyright (C) 2008 Klaus Spanderen |
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 | | <https://www.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 | | #include <ql/exercise.hpp> |
23 | | #include <ql/methods/finitedifferences/meshers/fdmblackscholesmesher.hpp> |
24 | | #include <ql/methods/finitedifferences/meshers/fdmmeshercomposite.hpp> |
25 | | #include <ql/methods/finitedifferences/operators/fdmlinearoplayout.hpp> |
26 | | #include <ql/methods/finitedifferences/solvers/fdmblackscholessolver.hpp> |
27 | | #include <ql/methods/finitedifferences/stepconditions/fdmstepconditioncomposite.hpp> |
28 | | #include <ql/methods/finitedifferences/utilities/fdmdirichletboundary.hpp> |
29 | | #include <ql/methods/finitedifferences/utilities/fdminnervaluecalculator.hpp> |
30 | | #include <ql/pricingengines/barrier/fdblackscholesrebateengine.hpp> |
31 | | #include <utility> |
32 | | |
33 | | namespace QuantLib { |
34 | | |
35 | | FdBlackScholesRebateEngine::FdBlackScholesRebateEngine( |
36 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process, |
37 | | Size tGrid, |
38 | | Size xGrid, |
39 | | Size dampingSteps, |
40 | | const FdmSchemeDesc& schemeDesc, |
41 | | bool localVol, |
42 | | Real illegalLocalVolOverwrite) |
43 | 0 | : process_(std::move(process)), |
44 | 0 | tGrid_(tGrid), xGrid_(xGrid), dampingSteps_(dampingSteps), |
45 | 0 | schemeDesc_(schemeDesc), localVol_(localVol), |
46 | 0 | illegalLocalVolOverwrite_(illegalLocalVolOverwrite) { |
47 | |
|
48 | 0 | registerWith(process_); |
49 | 0 | } |
50 | | |
51 | | FdBlackScholesRebateEngine::FdBlackScholesRebateEngine( |
52 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process, |
53 | | DividendSchedule dividends, |
54 | | Size tGrid, |
55 | | Size xGrid, |
56 | | Size dampingSteps, |
57 | | const FdmSchemeDesc& schemeDesc, |
58 | | bool localVol, |
59 | | Real illegalLocalVolOverwrite) |
60 | 0 | : process_(std::move(process)), dividends_(std::move(dividends)), |
61 | 0 | tGrid_(tGrid), xGrid_(xGrid), dampingSteps_(dampingSteps), |
62 | 0 | schemeDesc_(schemeDesc), localVol_(localVol), |
63 | 0 | illegalLocalVolOverwrite_(illegalLocalVolOverwrite) { |
64 | |
|
65 | 0 | registerWith(process_); |
66 | 0 | } |
67 | | |
68 | 0 | void FdBlackScholesRebateEngine::calculate() const { |
69 | | |
70 | | // 1. Mesher |
71 | 0 | const ext::shared_ptr<StrikedTypePayoff> payoff = |
72 | 0 | ext::dynamic_pointer_cast<StrikedTypePayoff>(arguments_.payoff); |
73 | 0 | const Time maturity = process_->time(arguments_.exercise->lastDate()); |
74 | |
|
75 | 0 | Real xMin=Null<Real>(); |
76 | 0 | Real xMax=Null<Real>(); |
77 | 0 | if ( arguments_.barrierType == Barrier::DownIn |
78 | 0 | || arguments_.barrierType == Barrier::DownOut) { |
79 | 0 | xMin = std::log(arguments_.barrier); |
80 | 0 | } |
81 | 0 | if ( arguments_.barrierType == Barrier::UpIn |
82 | 0 | || arguments_.barrierType == Barrier::UpOut) { |
83 | 0 | xMax = std::log(arguments_.barrier); |
84 | 0 | } |
85 | |
|
86 | 0 | const ext::shared_ptr<Fdm1dMesher> equityMesher( |
87 | 0 | new FdmBlackScholesMesher( |
88 | 0 | xGrid_, process_, maturity, payoff->strike(), |
89 | 0 | xMin, xMax, 0.0001, 1.5, |
90 | 0 | std::make_pair(Null<Real>(), Null<Real>()), |
91 | 0 | dividends_)); |
92 | | |
93 | 0 | const ext::shared_ptr<FdmMesher> mesher ( |
94 | 0 | new FdmMesherComposite(equityMesher)); |
95 | | |
96 | | // 2. Calculator |
97 | 0 | const ext::shared_ptr<StrikedTypePayoff> rebatePayoff( |
98 | 0 | new CashOrNothingPayoff(Option::Call, 0.0, arguments_.rebate)); |
99 | 0 | const ext::shared_ptr<FdmInnerValueCalculator> calculator( |
100 | 0 | new FdmLogInnerValue(rebatePayoff, mesher, 0)); |
101 | | |
102 | | // 3. Step conditions |
103 | 0 | QL_REQUIRE(arguments_.exercise->type() == Exercise::European, |
104 | 0 | "only european style option are supported"); |
105 | | |
106 | 0 | const ext::shared_ptr<FdmStepConditionComposite> conditions = |
107 | 0 | FdmStepConditionComposite::vanillaComposite( |
108 | 0 | dividends_, arguments_.exercise, |
109 | 0 | mesher, calculator, |
110 | 0 | process_->riskFreeRate()->referenceDate(), |
111 | 0 | process_->riskFreeRate()->dayCounter()); |
112 | | |
113 | | // 4. Boundary conditions |
114 | 0 | FdmBoundaryConditionSet boundaries; |
115 | 0 | if ( arguments_.barrierType == Barrier::DownIn |
116 | 0 | || arguments_.barrierType == Barrier::DownOut) { |
117 | 0 | boundaries.push_back(FdmBoundaryConditionSet::value_type( |
118 | 0 | new FdmDirichletBoundary(mesher, arguments_.rebate, 0, |
119 | 0 | FdmDirichletBoundary::Lower))); |
120 | |
|
121 | 0 | } |
122 | 0 | if ( arguments_.barrierType == Barrier::UpIn |
123 | 0 | || arguments_.barrierType == Barrier::UpOut) { |
124 | 0 | boundaries.push_back(FdmBoundaryConditionSet::value_type( |
125 | 0 | new FdmDirichletBoundary(mesher, arguments_.rebate, 0, |
126 | 0 | FdmDirichletBoundary::Upper))); |
127 | 0 | } |
128 | | |
129 | | // 5. Solver |
130 | 0 | FdmSolverDesc solverDesc = { mesher, boundaries, conditions, calculator, |
131 | 0 | maturity, tGrid_, dampingSteps_ }; |
132 | |
|
133 | 0 | const ext::shared_ptr<FdmBlackScholesSolver> solver( |
134 | 0 | new FdmBlackScholesSolver( |
135 | 0 | Handle<GeneralizedBlackScholesProcess>(process_), |
136 | 0 | payoff->strike(), solverDesc, schemeDesc_, |
137 | 0 | localVol_, illegalLocalVolOverwrite_)); |
138 | |
|
139 | 0 | const Real spot = process_->x0(); |
140 | 0 | results_.value = solver->valueAt(spot); |
141 | 0 | results_.delta = solver->deltaAt(spot); |
142 | 0 | results_.gamma = solver->gammaAt(spot); |
143 | 0 | results_.theta = solver->thetaAt(spot); |
144 | 0 | } |
145 | | } |