/src/quantlib/ql/pricingengines/swaption/gaussian1djamshidianswaptionengine.cpp
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1 | | /* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ |
2 | | |
3 | | /* |
4 | | Copyright (C) 2001, 2002, 2003 Sadruddin Rejeb |
5 | | Copyright (C) 2013 Peter Caspers |
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 | | <https://www.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 | | |
21 | | #include <ql/math/solvers1d/brent.hpp> |
22 | | #include <ql/pricingengines/swaption/gaussian1djamshidianswaptionengine.hpp> |
23 | | #include <utility> |
24 | | |
25 | | namespace QuantLib { |
26 | | |
27 | | class Gaussian1dJamshidianSwaptionEngine::rStarFinder { |
28 | | public: |
29 | | rStarFinder(const ext::shared_ptr<Gaussian1dModel>& model, |
30 | | Real nominal, |
31 | | const Date& maturityDate, |
32 | | const Date& valueDate, |
33 | | std::vector<Date> fixedPayDates, |
34 | | const std::vector<Real>& amounts, |
35 | | const Size startIndex) |
36 | 0 | : strike_(nominal), maturityDate_(maturityDate), valueDate_(valueDate), |
37 | 0 | startIndex_(startIndex), times_(std::move(fixedPayDates)), amounts_(amounts), |
38 | 0 | model_(model) {} |
39 | | |
40 | 0 | Real operator()(Rate y) const { |
41 | 0 | Real value = strike_; |
42 | 0 | Size size = times_.size(); |
43 | 0 | for (Size i = startIndex_; i < size; i++) { |
44 | 0 | Real dbValue = model_->zerobond(times_[i], maturityDate_, y) / |
45 | 0 | model_->zerobond(valueDate_, maturityDate_, y); |
46 | 0 | value -= amounts_[i] * dbValue; |
47 | 0 | } |
48 | 0 | return value; |
49 | 0 | } |
50 | | |
51 | | private: |
52 | | Real strike_; |
53 | | Date maturityDate_, valueDate_; |
54 | | Size startIndex_; |
55 | | std::vector<Date> times_; |
56 | | const std::vector<Real> &amounts_; |
57 | | const ext::shared_ptr<Gaussian1dModel> &model_; |
58 | | }; |
59 | | |
60 | 0 | void Gaussian1dJamshidianSwaptionEngine::calculate() const { |
61 | |
|
62 | 0 | QL_REQUIRE(arguments_.settlementMethod != Settlement::ParYieldCurve, |
63 | 0 | "cash settled (ParYieldCurve) swaptions not priced with " |
64 | 0 | "Gaussian1dJamshidianSwaptionEngine"); |
65 | | |
66 | 0 | QL_REQUIRE(arguments_.exercise->type() == Exercise::European, |
67 | 0 | "cannot use the Jamshidian decomposition " |
68 | 0 | "on exotic swaptions"); |
69 | | |
70 | 0 | QL_REQUIRE(arguments_.swap->spread() == 0.0, |
71 | 0 | "non zero spread (" << arguments_.swap->spread() |
72 | 0 | << ") not allowed"); // PC |
73 | | |
74 | 0 | QL_REQUIRE(arguments_.nominal != Null<Real>(), |
75 | 0 | "non-constant nominals are not supported yet"); |
76 | | |
77 | 0 | Date referenceDate; |
78 | 0 | DayCounter dayCounter; |
79 | |
|
80 | 0 | referenceDate = model_->termStructure()->referenceDate(); |
81 | 0 | dayCounter = model_->termStructure()->dayCounter(); |
82 | |
|
83 | 0 | std::vector<Real> amounts(arguments_.fixedCoupons); |
84 | 0 | amounts.back() += arguments_.nominal; |
85 | |
|
86 | 0 | Size startIndex = std::upper_bound(arguments_.fixedResetDates.begin(), |
87 | 0 | arguments_.fixedResetDates.end(), |
88 | 0 | arguments_.exercise->date(0) - 1) - |
89 | 0 | arguments_.fixedResetDates.begin(); |
90 | | // only consider coupons with start date >= exercise dates |
91 | |
|
92 | 0 | rStarFinder finder(*model_, arguments_.nominal, |
93 | 0 | arguments_.exercise->date(0), |
94 | 0 | arguments_.fixedResetDates[startIndex], |
95 | 0 | arguments_.fixedPayDates, amounts, startIndex); |
96 | 0 | Brent s1d; |
97 | 0 | Rate minStrike = -8.0; |
98 | 0 | Rate maxStrike = 8.0; |
99 | 0 | s1d.setMaxEvaluations(10000); |
100 | 0 | s1d.setLowerBound(minStrike); |
101 | 0 | s1d.setUpperBound(maxStrike); |
102 | 0 | Rate rStar = s1d.solve(finder, 1e-8, 0.00, minStrike, |
103 | 0 | maxStrike); // this is actually yStar |
104 | |
|
105 | 0 | Option::Type w = |
106 | 0 | arguments_.type == Swap::Payer ? Option::Put : Option::Call; |
107 | 0 | Size size = arguments_.fixedCoupons.size(); |
108 | |
|
109 | 0 | Real value = 0.0; |
110 | 0 | for (Size i = startIndex; i < size; i++) { |
111 | | // Real fixedPayTime = |
112 | | // dayCounter.yearFraction(referenceDate,arguments_.fixedPayDates[i]); |
113 | 0 | Real strike = |
114 | 0 | model_->zerobond(arguments_.fixedPayDates[i], |
115 | 0 | arguments_.exercise->date(0), rStar) / |
116 | 0 | model_->zerobond(arguments_.fixedResetDates[startIndex], |
117 | 0 | arguments_.exercise->date(0), rStar); |
118 | 0 | Real dboValue = |
119 | 0 | model_->zerobondOption(w, arguments_.exercise->date(0), |
120 | 0 | arguments_.fixedResetDates[startIndex], |
121 | 0 | arguments_.fixedPayDates[i], strike); |
122 | 0 | value += amounts[i] * dboValue; |
123 | 0 | } |
124 | 0 | results_.value = value; |
125 | 0 | } |
126 | | } |