QuantLib
: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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ql
pricingengines
vanilla
analyticcevengine.hpp
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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
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/*
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Copyright (C) 2018 Klaus Spanderen
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This file is part of QuantLib, a free-software/open-source library
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for financial quantitative analysts and developers - http://quantlib.org/
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QuantLib is free software: you can redistribute it and/or modify it
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under the terms of the QuantLib license. You should have received a
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copy of the license along with this program; if not, please email
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<quantlib-dev@lists.sf.net>. The license is also available online at
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<http://quantlib.org/license.shtml>.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the license for more details.
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*/
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/*! \file analyticcevengine.hpp
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\brief Pricing engine for European vanilla options using a
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constant elasticity of variance (CEV) model
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*/
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#ifndef quantlib_analytic_cev_engine_hpp
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#define quantlib_analytic_cev_engine_hpp
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#include <
ql/instruments/vanillaoption.hpp
>
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#include <
ql/termstructures/yieldtermstructure.hpp
>
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namespace
QuantLib
{
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//! constant elasticity of variance process (absorbing boundary at f=0)
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/*! \f[
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df_t = \alpha f_t^\beta \mathrm{d}W_t
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\f]
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*/
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/*! References:
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D.R. Brecher, A.E. Lindsay, Results on the CEV Process, Past and Present
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https://www.fincad.com/sites/default/files/wysiwyg/Resources-Wiki/cev-process-working-paper.pdf
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*/
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class
CEVCalculator
{
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public
:
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CEVCalculator
(
Real
f0
,
Real
alpha
,
Real
beta
);
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Real
value
(
Option::Type
optionType,
Real
strike,
Time
t
)
const
;
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Real
f0
()
const
{
return
f0_
; }
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Real
alpha
()
const
{
return
alpha_
; }
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Real
beta
()
const
{
return
beta_
; }
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private
:
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Real
X(
Real
f
)
const
;
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const
Real
f0_
,
alpha_
,
beta_
,
delta_
,
x0_
;
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};
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class
AnalyticCEVEngine
:
public
VanillaOption::engine
{
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public
:
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AnalyticCEVEngine
(
Real
f0,
Real
alpha
,
Real
beta
,
Handle<YieldTermStructure>
discountCurve);
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void
calculate
()
const override
;
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private
:
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const
ext::shared_ptr<CEVCalculator>
calculator_
;
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const
Handle<YieldTermStructure>
discountCurve_
;
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};
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}
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#endif
QuantLib::AnalyticCEVEngine
Definition:
analyticcevengine.hpp:62
QuantLib::AnalyticCEVEngine::discountCurve_
const Handle< YieldTermStructure > discountCurve_
Definition:
analyticcevengine.hpp:70
QuantLib::AnalyticCEVEngine::calculate
void calculate() const override
Definition:
analyticcevengine.cpp:95
QuantLib::AnalyticCEVEngine::calculator_
const ext::shared_ptr< CEVCalculator > calculator_
Definition:
analyticcevengine.hpp:69
QuantLib::CEVCalculator
constant elasticity of variance process (absorbing boundary at f=0)
Definition:
analyticcevengine.hpp:45
QuantLib::CEVCalculator::x0_
const Real x0_
Definition:
analyticcevengine.hpp:58
QuantLib::CEVCalculator::beta_
const Real beta_
Definition:
analyticcevengine.hpp:58
QuantLib::CEVCalculator::alpha_
const Real alpha_
Definition:
analyticcevengine.hpp:58
QuantLib::CEVCalculator::f0
Real f0() const
Definition:
analyticcevengine.hpp:51
QuantLib::CEVCalculator::f0_
const Real f0_
Definition:
analyticcevengine.hpp:58
QuantLib::CEVCalculator::value
Real value(Option::Type optionType, Real strike, Time t) const
Definition:
analyticcevengine.cpp:42
QuantLib::CEVCalculator::delta_
const Real delta_
Definition:
analyticcevengine.hpp:58
QuantLib::CEVCalculator::beta
Real beta() const
Definition:
analyticcevengine.hpp:53
QuantLib::CEVCalculator::alpha
Real alpha() const
Definition:
analyticcevengine.hpp:52
QuantLib::Handle
Shared handle to an observable.
Definition:
handle.hpp:41
QuantLib::OneAssetOption::engine
Definition:
oneassetoption.hpp:82
QuantLib::Option::Type
Type
Definition:
option.hpp:39
f
F f
Definition:
defaultdensitystructure.cpp:32
t
const DefaultType & t
Definition:
defaultprobabilitykey.cpp:39
QuantLib::Time
Real Time
continuous quantity with 1-year units
Definition:
types.hpp:62
QuantLib::Real
QL_REAL Real
real number
Definition:
types.hpp:50
QuantLib
Definition:
any.hpp:35
beta
Real beta
Definition:
sabr.cpp:200
alpha
Real alpha
Definition:
sabr.cpp:200
vanillaoption.hpp
Vanilla option on a single asset.
yieldtermstructure.hpp
Interest-rate term structure.
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