/src/quantlib/ql/models/calibrationhelper.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) 2015 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 | | <http://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/models/calibrationhelper.hpp> |
22 | | #include <ql/math/solvers1d/brent.hpp> |
23 | | |
24 | | namespace QuantLib { |
25 | | |
26 | | class BlackCalibrationHelper::ImpliedVolatilityHelper { |
27 | | public: |
28 | | ImpliedVolatilityHelper(const BlackCalibrationHelper& helper, |
29 | | Real value) |
30 | 0 | : helper_(helper), value_(value) {} |
31 | | |
32 | 0 | Real operator()(Volatility x) const { |
33 | 0 | return value_ - helper_.blackPrice(x); |
34 | 0 | } |
35 | | private: |
36 | | const BlackCalibrationHelper& helper_; |
37 | | Real value_; |
38 | | }; |
39 | | |
40 | | Volatility BlackCalibrationHelper::impliedVolatility(Real targetValue, |
41 | | Real accuracy, |
42 | | Size maxEvaluations, |
43 | | Volatility minVol, |
44 | 0 | Volatility maxVol) const { |
45 | |
|
46 | 0 | ImpliedVolatilityHelper f(*this,targetValue); |
47 | 0 | Brent solver; |
48 | 0 | solver.setMaxEvaluations(maxEvaluations); |
49 | 0 | return solver.solve(f,accuracy,volatility_->value(),minVol,maxVol); |
50 | 0 | } |
51 | | |
52 | 0 | Real BlackCalibrationHelper::calibrationError() { |
53 | 0 | Real error; |
54 | | |
55 | 0 | switch (calibrationErrorType_) { |
56 | 0 | case RelativePriceError: |
57 | 0 | error = std::fabs(marketValue() - modelValue())/marketValue(); |
58 | 0 | break; |
59 | 0 | case PriceError: |
60 | 0 | error = marketValue() - modelValue(); |
61 | 0 | break; |
62 | 0 | case ImpliedVolError: |
63 | 0 | { |
64 | 0 | Real minVol = volatilityType_ == ShiftedLognormal ? 0.0010 : 0.00005; |
65 | 0 | Real maxVol = volatilityType_ == ShiftedLognormal ? 10.0 : 0.50; |
66 | 0 | const Real lowerPrice = blackPrice(minVol); |
67 | 0 | const Real upperPrice = blackPrice(maxVol); |
68 | 0 | const Real modelPrice = modelValue(); |
69 | |
|
70 | 0 | Volatility implied; |
71 | 0 | if (modelPrice <= lowerPrice) |
72 | 0 | implied = minVol; |
73 | 0 | else if (modelPrice >= upperPrice) |
74 | 0 | implied = maxVol; |
75 | 0 | else |
76 | 0 | implied = this->impliedVolatility( |
77 | 0 | modelPrice, 1e-12, 5000, minVol, maxVol); |
78 | 0 | error = implied - volatility_->value(); |
79 | 0 | } |
80 | 0 | break; |
81 | 0 | default: |
82 | 0 | QL_FAIL("unknown Calibration Error Type"); |
83 | 0 | } |
84 | | |
85 | 0 | return error; |
86 | 0 | } |
87 | | } |