/src/quantlib/ql/pricingengines/vanilla/fdblackscholesshoutengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2021 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 | | /*! \file fdblackscholesshoutengine.cpp |
21 | | */ |
22 | | |
23 | | #include <ql/exercise.hpp> |
24 | | #include <ql/methods/finitedifferences/utilities/escroweddividendadjustment.hpp> |
25 | | #include <ql/methods/finitedifferences/meshers/fdmblackscholesmesher.hpp> |
26 | | #include <ql/methods/finitedifferences/meshers/fdmmeshercomposite.hpp> |
27 | | #include <ql/methods/finitedifferences/solvers/fdmblackscholessolver.hpp> |
28 | | #include <ql/methods/finitedifferences/stepconditions/fdmstepconditioncomposite.hpp> |
29 | | #include <ql/methods/finitedifferences/utilities/fdmshoutloginnervaluecalculator.hpp> |
30 | | #include <ql/pricingengines/vanilla/fdblackscholesshoutengine.hpp> |
31 | | #include <ql/processes/blackscholesprocess.hpp> |
32 | | |
33 | | namespace QuantLib { |
34 | | |
35 | | FdBlackScholesShoutEngine::FdBlackScholesShoutEngine( |
36 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process, |
37 | | Size tGrid, |
38 | | Size xGrid, |
39 | | Size dampingSteps, |
40 | | const FdmSchemeDesc& schemeDesc) |
41 | 0 | : process_(std::move(process)), |
42 | 0 | tGrid_(tGrid), xGrid_(xGrid), dampingSteps_(dampingSteps), |
43 | 0 | schemeDesc_(schemeDesc) { |
44 | 0 | registerWith(process_); |
45 | 0 | } |
46 | | |
47 | | FdBlackScholesShoutEngine::FdBlackScholesShoutEngine( |
48 | | ext::shared_ptr<GeneralizedBlackScholesProcess> process, |
49 | | DividendSchedule dividends, |
50 | | Size tGrid, |
51 | | Size xGrid, |
52 | | Size dampingSteps, |
53 | | const FdmSchemeDesc& schemeDesc) |
54 | 0 | : process_(std::move(process)), dividends_(std::move(dividends)), |
55 | 0 | tGrid_(tGrid), xGrid_(xGrid), dampingSteps_(dampingSteps), |
56 | 0 | schemeDesc_(schemeDesc) { |
57 | 0 | registerWith(process_); |
58 | 0 | } |
59 | | |
60 | 0 | void FdBlackScholesShoutEngine::calculate() const { |
61 | |
|
62 | 0 | const Date exerciseDate = arguments_.exercise->lastDate(); |
63 | 0 | const Time maturity = process_->time(exerciseDate); |
64 | 0 | const Date settlementDate = process_->riskFreeRate()->referenceDate(); |
65 | |
|
66 | 0 | const auto escrowedDividendAdj = |
67 | 0 | ext::make_shared<EscrowedDividendAdjustment>( |
68 | 0 | dividends_, |
69 | 0 | process_->riskFreeRate(), |
70 | 0 | process_->dividendYield(), |
71 | 0 | [&](Date d){ return process_->time(d); }, |
72 | 0 | maturity); |
73 | |
|
74 | 0 | const Real divAdj = escrowedDividendAdj |
75 | 0 | ->dividendAdjustment(process_->time(settlementDate)); |
76 | |
|
77 | 0 | QL_REQUIRE(process_->x0() + divAdj > 0.0, |
78 | 0 | "spot minus dividends becomes negative"); |
79 | | |
80 | 0 | const auto payoff = |
81 | 0 | ext::dynamic_pointer_cast<PlainVanillaPayoff>(arguments_.payoff); |
82 | |
|
83 | 0 | QL_REQUIRE(payoff, "non plain vanilla payoff given"); |
84 | | |
85 | 0 | const DividendSchedule emptyDividendSchedule; |
86 | |
|
87 | 0 | const auto mesher = ext::make_shared<FdmMesherComposite>( |
88 | 0 | ext::make_shared<FdmBlackScholesMesher>( |
89 | 0 | xGrid_, process_, maturity, payoff->strike(), |
90 | 0 | Null<Real>(), Null<Real>(), 0.0001, 1.5, |
91 | 0 | std::pair<Real, Real>(payoff->strike(), 0.1), |
92 | 0 | emptyDividendSchedule, |
93 | 0 | ext::shared_ptr<FdmQuantoHelper>(), |
94 | 0 | divAdj)); |
95 | |
|
96 | 0 | const auto innerValuecalculator = |
97 | 0 | ext::make_shared<FdmShoutLogInnerValueCalculator>( |
98 | 0 | process_->blackVolatility(), |
99 | 0 | escrowedDividendAdj, maturity, payoff, mesher, 0); |
100 | |
|
101 | 0 | DividendSchedule zeroDividendSchedule = DividendSchedule(); |
102 | 0 | for (const auto& cf: dividends_) |
103 | 0 | zeroDividendSchedule.push_back( |
104 | 0 | ext::make_shared<FixedDividend>(0.0, cf->date())); |
105 | |
|
106 | 0 | const auto conditions = |
107 | 0 | FdmStepConditionComposite::vanillaComposite( |
108 | 0 | zeroDividendSchedule, |
109 | 0 | arguments_.exercise, mesher, |
110 | 0 | innerValuecalculator, |
111 | 0 | process_->riskFreeRate()->referenceDate(), |
112 | 0 | process_->riskFreeRate()->dayCounter()); |
113 | |
|
114 | 0 | const FdmSolverDesc solverDesc = { |
115 | 0 | mesher, FdmBoundaryConditionSet(), |
116 | 0 | conditions, innerValuecalculator, |
117 | 0 | maturity, tGrid_, dampingSteps_ }; |
118 | |
|
119 | 0 | const auto solver = |
120 | 0 | ext::make_shared<FdmBlackScholesSolver>( |
121 | 0 | Handle<GeneralizedBlackScholesProcess>(process_), |
122 | 0 | payoff->strike(), solverDesc, schemeDesc_); |
123 | |
|
124 | 0 | const Real spot = process_->x0() + divAdj; |
125 | |
|
126 | 0 | results_.value = solver->valueAt(spot); |
127 | 0 | results_.delta = solver->deltaAt(spot); |
128 | 0 | results_.gamma = solver->gammaAt(spot); |
129 | 0 | results_.theta = solver->thetaAt(spot); |
130 | 0 | } |
131 | | } |