/src/quantlib/ql/pricingengines/capfloor/mchullwhiteengine.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 Banca Profilo S.p.A. |
5 | | Copyright (C) 2006 StatPro Italia srl |
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/pricingengines/capfloor/mchullwhiteengine.hpp> |
22 | | #include <utility> |
23 | | |
24 | | namespace QuantLib::detail { |
25 | | |
26 | | HullWhiteCapFloorPricer::HullWhiteCapFloorPricer(const CapFloor::arguments& args, |
27 | | ext::shared_ptr<HullWhite> model, |
28 | | Time forwardMeasureTime) |
29 | 0 | : args_(args), model_(std::move(model)), forwardMeasureTime_(forwardMeasureTime) { |
30 | 0 | endDiscount_ = |
31 | 0 | model_->termStructure()->discount(forwardMeasureTime_); |
32 | |
|
33 | 0 | Date referenceDate = model_->termStructure()->referenceDate(); |
34 | 0 | DayCounter dayCounter = model_->termStructure()->dayCounter(); |
35 | |
|
36 | 0 | startTimes_.resize(args.startDates.size()); |
37 | 0 | for (Size i=0; i<startTimes_.size(); ++i) |
38 | 0 | startTimes_[i] = dayCounter.yearFraction(referenceDate, |
39 | 0 | args.startDates[i]); |
40 | |
|
41 | 0 | endTimes_.resize(args.endDates.size()); |
42 | 0 | for (Size i=0; i<endTimes_.size(); ++i) |
43 | 0 | endTimes_[i] = dayCounter.yearFraction(referenceDate, |
44 | 0 | args.endDates[i]); |
45 | |
|
46 | 0 | fixingTimes_.resize(args.fixingDates.size()); |
47 | 0 | for (Size i=0; i<fixingTimes_.size(); ++i) |
48 | 0 | fixingTimes_[i] = dayCounter.yearFraction(referenceDate, |
49 | 0 | args.fixingDates[i]); |
50 | 0 | } |
51 | | |
52 | 0 | Real HullWhiteCapFloorPricer::operator()(const Path& path) const { |
53 | |
|
54 | 0 | bool isCap = (args_.type == CapFloor::Cap); |
55 | 0 | Real npv = 0.0; |
56 | 0 | Time Tb = forwardMeasureTime_; |
57 | |
|
58 | 0 | Size pastFixings = 0; |
59 | 0 | for (Size i = 0; i<fixingTimes_.size(); i++) { |
60 | 0 | Time tau = args_.accrualTimes[i]; |
61 | 0 | Time start = startTimes_[i], |
62 | 0 | end = endTimes_[i], |
63 | 0 | fixing = fixingTimes_[i]; |
64 | 0 | if (end <= 0.0) { |
65 | | // the fixing is in the past... |
66 | 0 | pastFixings++; |
67 | | // ...and the caplet is expired; nothing more to do. |
68 | 0 | } else { |
69 | 0 | Rate ri_1, ri_2, currentLibor; |
70 | 0 | if (fixing <= 0.0) { |
71 | | // current caplet. The fixing is in the past... |
72 | 0 | pastFixings++; |
73 | | // ...so it is determined. |
74 | 0 | currentLibor = args_.forwards[i]; |
75 | | // However, the short rate at caplet expiry is not. |
76 | 0 | ri_2 = path[i-pastFixings+2]; |
77 | 0 | } else { |
78 | | // future caplet. Everything is to be forecast. |
79 | | // The number of past fixings is used as an offset |
80 | | // to index into the path. |
81 | 0 | ri_1 = path[i-pastFixings+1]; |
82 | 0 | ri_2 = path[i-pastFixings+2]; |
83 | |
|
84 | 0 | DiscountFactor d1 = |
85 | 0 | model_->discountBond(fixing, start, ri_1); |
86 | 0 | DiscountFactor d2 = |
87 | 0 | model_->discountBond(fixing, end, ri_1); |
88 | 0 | currentLibor = (d1/d2-1)/tau; |
89 | 0 | } |
90 | |
|
91 | 0 | Real accrualFactor = |
92 | 0 | 1.0/model_->discountBond(end, Tb, ri_2); |
93 | |
|
94 | 0 | Rate strike = isCap? |
95 | 0 | args_.capRates[i] : |
96 | 0 | args_.floorRates[i]; |
97 | 0 | Real payoff = isCap? |
98 | 0 | std::max(currentLibor - strike, 0.0) : |
99 | 0 | std::max(strike - currentLibor, 0.0); |
100 | |
|
101 | 0 | npv += payoff * tau * args_.gearings[i] * |
102 | 0 | args_.nominals[i] * accrualFactor; |
103 | 0 | } |
104 | 0 | } |
105 | 0 | npv *= endDiscount_; |
106 | 0 | return npv; |
107 | 0 | } |
108 | | |
109 | | } |
110 | | |