QuantLib: a free/open-source library for quantitative finance
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analyticpdfhestonengine.hpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2014 Klaus Spanderen
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 <http://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/*! \file analyticpdfhestonengine.hpp
21 \brief Analytic engine for arbitrary European payoffs under the Heston model
22*/
23
24#ifndef quantlib_analytic_pdf_heston_engine_hpp
25#define quantlib_analytic_pdf_heston_engine_hpp
26
30
31namespace QuantLib {
32
33 //! Analytic engine for arbitrary European payoffs under the Heston model
34
35 /*! References:
36
37 The formulas are taken from A. Dragulescu, V. Yakovenko, 2002.
38 Probability distribution of returns in the Heston model
39 with stochastic volatility.
40 http://arxiv.org/pdf/cond-mat/0203046.pdf
41
42 \test the correctness of the returned value is tested by
43 reproducing digital prices using call spreads and the
44 AnalyticHestonEngine.
45
46 */
48 : public GenericModelEngine<HestonModel,
49 VanillaOption::arguments,
50 VanillaOption::results> {
51 public:
52 explicit AnalyticPDFHestonEngine(ext::shared_ptr<HestonModel> model,
53 Real gaussLobattoEps = 1e-6,
54 Size gaussLobattoIntegrationOrder = 10000UL);
55 void calculate() const override;
56
57
58 // probability in x_t = ln(s_t)
59 Real Pv(Real x_t, Time t) const;
60
61 // cumulative distribution function Pr(x < X)
62 Real cdf(Real X, Time t) const;
63
64 private:
65 Real weightedPayoff(Real x_t, Time t) const;
66
69
70 const ext::shared_ptr<HestonModel> model_;
71 };
72}
73
74
75#endif
Analytic engine for arbitrary European payoffs under the Heston model.
const ext::shared_ptr< HestonModel > model_
Real weightedPayoff(Real x_t, Time t) const
Base class for some pricing engine on a particular model.
const DefaultType & t
Generic option engine based on a model.
Real Time
continuous quantity with 1-year units
Definition: types.hpp:62
QL_REAL Real
real number
Definition: types.hpp:50
std::size_t Size
size of a container
Definition: types.hpp:58
Heston model for the stochastic volatility of an asset.
Definition: any.hpp:35
Vanilla option on a single asset.