QuantLib: a free/open-source library for quantitative finance
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analyticcevengine.hpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2018 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 analyticcevengine.hpp
21 \brief Pricing engine for European vanilla options using a
22 constant elasticity of variance (CEV) model
23*/
24
25#ifndef quantlib_analytic_cev_engine_hpp
26#define quantlib_analytic_cev_engine_hpp
27
30
31namespace QuantLib {
32
33 //! constant elasticity of variance process (absorbing boundary at f=0)
34 /*! \f[
35 df_t = \alpha f_t^\beta \mathrm{d}W_t
36 \f]
37 */
38
39 /*! References:
40
41 D.R. Brecher, A.E. Lindsay, Results on the CEV Process, Past and Present
42 https://www.fincad.com/sites/default/files/wysiwyg/Resources-Wiki/cev-process-working-paper.pdf
43 */
44
46 public:
48
49 Real value(Option::Type optionType, Real strike, Time t) const;
50
51 Real f0() const { return f0_; }
52 Real alpha() const { return alpha_; }
53 Real beta() const { return beta_; }
54
55 private:
56 Real X(Real f) const;
57
59 };
60
61
63 public:
65
66 void calculate() const override;
67
68 private:
69 const ext::shared_ptr<CEVCalculator> calculator_;
71 };
72}
73
74#endif
const Handle< YieldTermStructure > discountCurve_
void calculate() const override
const ext::shared_ptr< CEVCalculator > calculator_
constant elasticity of variance process (absorbing boundary at f=0)
Real value(Option::Type optionType, Real strike, Time t) const
Shared handle to an observable.
Definition: handle.hpp:41
const DefaultType & t
Real Time
continuous quantity with 1-year units
Definition: types.hpp:62
QL_REAL Real
real number
Definition: types.hpp:50
Definition: any.hpp:35
Real beta
Definition: sabr.cpp:200
Real alpha
Definition: sabr.cpp:200
Vanilla option on a single asset.
Interest-rate term structure.