/src/quantlib/ql/models/marketmodels/proxygreekengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2006 Mark Joshi |
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/models/marketmodels/constrainedevolver.hpp> |
21 | | #include <ql/models/marketmodels/curvestate.hpp> |
22 | | #include <ql/models/marketmodels/discounter.hpp> |
23 | | #include <ql/models/marketmodels/evolutiondescription.hpp> |
24 | | #include <ql/models/marketmodels/proxygreekengine.hpp> |
25 | | #include <algorithm> |
26 | | #include <utility> |
27 | | |
28 | | namespace QuantLib { |
29 | | |
30 | | ProxyGreekEngine::ProxyGreekEngine( |
31 | | ext::shared_ptr<MarketModelEvolver> evolver, |
32 | | std::vector<std::vector<ext::shared_ptr<ConstrainedEvolver> > > constrainedEvolvers, |
33 | | std::vector<std::vector<std::vector<Real> > > diffWeights, |
34 | | std::vector<Size> startIndexOfConstraint, |
35 | | std::vector<Size> endIndexOfConstraint, |
36 | | const Clone<MarketModelMultiProduct>& product, |
37 | | Real initialNumeraireValue) |
38 | 0 | : originalEvolver_(std::move(evolver)), constrainedEvolvers_(std::move(constrainedEvolvers)), |
39 | 0 | diffWeights_(std::move(diffWeights)), |
40 | 0 | startIndexOfConstraint_(std::move(startIndexOfConstraint)), |
41 | 0 | endIndexOfConstraint_(std::move(endIndexOfConstraint)), product_(product), |
42 | 0 | initialNumeraireValue_(initialNumeraireValue), numberProducts_(product->numberOfProducts()), |
43 | 0 | numerairesHeld_(product->numberOfProducts()), |
44 | 0 | numberCashFlowsThisStep_(product->numberOfProducts()), |
45 | 0 | cashFlowsGenerated_(product->numberOfProducts()) { |
46 | 0 | for (Size i=0; i<numberProducts_; ++i) |
47 | 0 | cashFlowsGenerated_[i].resize( |
48 | 0 | product_->maxNumberOfCashFlowsPerProductPerStep()); |
49 | |
|
50 | 0 | const std::vector<Time>& cashFlowTimes = |
51 | 0 | product_->possibleCashFlowTimes(); |
52 | 0 | const std::vector<Rate>& rateTimes = product_->evolution().rateTimes(); |
53 | 0 | Size n = cashFlowTimes.size(); |
54 | 0 | discounters_.reserve(n); |
55 | 0 | for (Size j=0; j<n; ++j) |
56 | 0 | discounters_.emplace_back(cashFlowTimes[j], rateTimes); |
57 | 0 | const std::vector<Rate>& evolutionTimes = |
58 | 0 | product_->evolution().evolutionTimes(); |
59 | 0 | constraints_.resize(evolutionTimes.size()); |
60 | 0 | constraintsActive_.resize(evolutionTimes.size()); |
61 | 0 | } |
62 | | |
63 | | void ProxyGreekEngine::singlePathValues( |
64 | | std::vector<Real>& values, |
65 | 0 | std::vector<std::vector<std::vector<Real> > >& modifiedValues) { |
66 | 0 | singleEvolverValues(*originalEvolver_, values, true); |
67 | 0 | for (Size i=0; i<constrainedEvolvers_.size(); ++i) { |
68 | 0 | for (Size j=0; j<constrainedEvolvers_[i].size(); ++j) { |
69 | 0 | constrainedEvolvers_[i][j]->setThisConstraint( |
70 | 0 | constraints_, constraintsActive_); |
71 | 0 | singleEvolverValues(*(constrainedEvolvers_[i][j]), |
72 | 0 | modifiedValues[i][j]); |
73 | 0 | } |
74 | 0 | } |
75 | 0 | } |
76 | | |
77 | | void ProxyGreekEngine::multiplePathValues( |
78 | | SequenceStatisticsInc& stats, |
79 | | std::vector<std::vector<SequenceStatisticsInc> >& modifiedStats, |
80 | 0 | Size numberOfPaths) { |
81 | 0 | Size N = product_->numberOfProducts(); |
82 | |
|
83 | 0 | std::vector<Real> values(N); |
84 | 0 | std::vector<std::vector<std::vector<Real> > > modifiedValues; |
85 | 0 | modifiedValues.resize(constrainedEvolvers_.size()); |
86 | 0 | for (Size i=0; i<modifiedValues.size(); ++i) { |
87 | 0 | modifiedValues[i].resize(constrainedEvolvers_[i].size()); |
88 | 0 | for (auto& j : modifiedValues[i]) |
89 | 0 | j.resize(N); |
90 | 0 | } |
91 | |
|
92 | 0 | std::vector<Real> results(N); |
93 | |
|
94 | 0 | for (Size i=0; i<numberOfPaths; ++i) { |
95 | 0 | singlePathValues(values, modifiedValues); |
96 | 0 | stats.add(values); |
97 | |
|
98 | 0 | for (Size j=0; j<diffWeights_.size(); ++j) { |
99 | 0 | for (Size k=0; k<diffWeights_[j].size(); ++k) { |
100 | 0 | const std::vector<Real>& weights = diffWeights_[j][k]; |
101 | 0 | for (Size l=0; l<N; ++l) { |
102 | 0 | results[l] = weights[0]*values[l]; |
103 | 0 | for (Size n=1; n<weights.size(); ++n) |
104 | 0 | results[l] += weights[n]*modifiedValues[j][n-1][l]; |
105 | 0 | } |
106 | 0 | modifiedStats[j][k].add(results); |
107 | 0 | } |
108 | 0 | } |
109 | 0 | } |
110 | 0 | } |
111 | | |
112 | | void ProxyGreekEngine::singleEvolverValues(MarketModelEvolver& evolver, |
113 | | std::vector<Real>& values, |
114 | 0 | bool storeRates) { |
115 | |
|
116 | 0 | std::fill(numerairesHeld_.begin(), numerairesHeld_.end(), 0.0); |
117 | 0 | Real weight = evolver.startNewPath(); |
118 | 0 | product_->reset(); |
119 | 0 | Real principalInNumerairePortfolio = 1.0; |
120 | |
|
121 | 0 | if (storeRates) |
122 | 0 | constraintsActive_ =false; |
123 | | // std::fill(constraintsActive_.begin(), |
124 | | // constraintsActive_.end(), |
125 | | // false); |
126 | | // } |
127 | |
|
128 | 0 | bool done = false; |
129 | 0 | do { |
130 | 0 | Size thisStep = evolver.currentStep(); |
131 | 0 | weight *= evolver.advanceStep(); |
132 | 0 | done = product_->nextTimeStep(evolver.currentState(), |
133 | 0 | numberCashFlowsThisStep_, |
134 | 0 | cashFlowsGenerated_); |
135 | 0 | if (storeRates) { |
136 | 0 | constraints_[thisStep] = evolver.currentState().swapRate( |
137 | 0 | startIndexOfConstraint_[thisStep], |
138 | 0 | endIndexOfConstraint_[thisStep]); |
139 | 0 | constraintsActive_[thisStep] = true; |
140 | 0 | } |
141 | |
|
142 | 0 | Size numeraire = |
143 | 0 | evolver.numeraires()[thisStep]; |
144 | | |
145 | | // for each product... |
146 | 0 | for (Size i=0; i<numberProducts_; ++i) { |
147 | | // ...and each cash flow... |
148 | 0 | const std::vector<MarketModelMultiProduct::CashFlow>& cashflows = |
149 | 0 | cashFlowsGenerated_[i]; |
150 | 0 | for (Size j=0; j<numberCashFlowsThisStep_[i]; ++j) { |
151 | | // ...convert the cash flow to numeraires. |
152 | | // This is done by calculating the number of |
153 | | // numeraire bonds corresponding to such cash flow... |
154 | 0 | const MarketModelDiscounter& discounter = |
155 | 0 | discounters_[cashflows[j].timeIndex]; |
156 | |
|
157 | 0 | Real bonds = cashflows[j].amount * |
158 | 0 | discounter.numeraireBonds(evolver.currentState(), |
159 | 0 | numeraire); |
160 | | |
161 | | // ...and adding the newly bought bonds to the number |
162 | | // of numeraires held. |
163 | 0 | numerairesHeld_[i] += |
164 | 0 | weight*bonds/principalInNumerairePortfolio; |
165 | 0 | } |
166 | 0 | } |
167 | |
|
168 | 0 | if (!done) { |
169 | | |
170 | | // The numeraire might change between steps. This implies |
171 | | // that we might have to convert the numeraire bonds for |
172 | | // this step into a corresponding amount of numeraire |
173 | | // bonds for the next step. This can be done by changing |
174 | | // the principal of the numeraire and updating the number |
175 | | // of bonds in the numeraire portfolio accordingly. |
176 | |
|
177 | 0 | Size nextNumeraire = evolver.numeraires()[thisStep+1]; |
178 | |
|
179 | 0 | principalInNumerairePortfolio *= |
180 | 0 | evolver.currentState().discountRatio(numeraire, |
181 | 0 | nextNumeraire); |
182 | 0 | } |
183 | |
|
184 | 0 | } while (!done); |
185 | |
|
186 | 0 | for (Size i=0; i<numerairesHeld_.size(); ++i) |
187 | 0 | values[i] = numerairesHeld_[i] * initialNumeraireValue_; |
188 | |
|
189 | 0 | } |
190 | | |
191 | | } |