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