1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146
|
/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*
Copyright (C) 2007 Giorgio Facchinetti
Copyright (C) 2007 Katiuscia Manzoni
Copyright (C) 2015 Peter Caspers
This file is part of QuantLib, a free-software/open-source library
for financial quantitative analysts and developers - http://quantlib.org/
QuantLib is free software: you can redistribute it and/or modify it
under the terms of the QuantLib license. You should have received a
copy of the license along with this program; if not, please email
<quantlib-dev@lists.sf.net>. The license is also available online at
<https://www.quantlib.org/license.shtml>.
This program is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the license for more details.
*/
#include <ql/termstructures/volatility/optionlet/strippedoptionletadapter.hpp>
#include <ql/termstructures/volatility/optionlet/optionletstripper.hpp>
#include <ql/termstructures/volatility/capfloor/capfloortermvolsurface.hpp>
#include <ql/math/interpolations/linearinterpolation.hpp>
#include <ql/math/interpolations/sabrinterpolation.hpp>
#include <ql/termstructures/volatility/interpolatedsmilesection.hpp>
#include <ql/math/interpolations/cubicinterpolation.hpp>
namespace QuantLib {
StrippedOptionletAdapter::StrippedOptionletAdapter(
const ext::shared_ptr<StrippedOptionletBase>& s)
: OptionletVolatilityStructure(s->settlementDays(),
s->calendar(),
s->businessDayConvention(),
s->dayCounter()),
optionletStripper_(s),
nInterpolations_(s->optionletMaturities()),
strikeInterpolations_(nInterpolations_) {
registerWith(optionletStripper_);
}
ext::shared_ptr<SmileSection>
StrippedOptionletAdapter::smileSectionImpl(Time t) const {
std::vector< Rate > optionletStrikes =
optionletStripper_->optionletStrikes(
0); // strikes are the same for all times ?!
std::vector< Real > stddevs;
stddevs.reserve(optionletStrikes.size());
for (Real optionletStrike : optionletStrikes) {
stddevs.push_back(volatilityImpl(t, optionletStrike) * std::sqrt(t));
}
// Extrapolation may be a problem with splines, but since minStrike()
// and maxStrike() are set, we assume that no one will use stddevs for
// strikes outside these strikes
CubicInterpolation::BoundaryCondition bc =
optionletStrikes.size() >= 4 ? CubicInterpolation::Lagrange
: CubicInterpolation::SecondDerivative;
return ext::make_shared< InterpolatedSmileSection< Cubic > >(
t, optionletStrikes, stddevs, Null< Real >(),
Cubic(CubicInterpolation::Spline, false, bc, 0.0, bc, 0.0),
Actual365Fixed(), volatilityType(), displacement());
}
Volatility StrippedOptionletAdapter::volatilityImpl(Time length,
Rate strike) const {
calculate();
std::vector<Volatility> vol(nInterpolations_);
for (Size i=0; i<nInterpolations_; ++i)
vol[i] = (*strikeInterpolations_[i])(strike, true);
const std::vector<Time>& optionletTimes =
optionletStripper_->optionletFixingTimes();
ext::shared_ptr<LinearInterpolation> timeInterpolator(new
LinearInterpolation(optionletTimes.begin(), optionletTimes.end(),
vol.begin()));
return (*timeInterpolator)(length, true);
}
void StrippedOptionletAdapter::performCalculations() const {
//const std::vector<Rate>& atmForward = optionletStripper_->atmOptionletRate();
//const std::vector<Time>& optionletTimes = optionletStripper_->optionletTimes();
for (Size i=0; i<nInterpolations_; ++i) {
const std::vector<Rate>& optionletStrikes =
optionletStripper_->optionletStrikes(i);
const std::vector<Volatility>& optionletVolatilities =
optionletStripper_->optionletVolatilities(i);
//strikeInterpolations_[i] = ext::shared_ptr<SABRInterpolation>(new
// SABRInterpolation(optionletStrikes.begin(), optionletStrikes.end(),
// optionletVolatilities.begin(),
// optionletTimes[i], atmForward[i],
// 0.02,0.5,0.2,0.,
// false, true, false, false
// //alphaGuess_, betaGuess_,
// //nuGuess_, rhoGuess_,
// //isParameterFixed_[0],
// //isParameterFixed_[1],
// //isParameterFixed_[2],
// //isParameterFixed_[3]
// ////,
// //vegaWeightedSmileFit_,
// //endCriteria_,
// //optMethod_
// ));
strikeInterpolations_[i] = ext::make_shared<LinearInterpolation>(optionletStrikes.begin(),
optionletStrikes.end(),
optionletVolatilities.begin());
//QL_ENSURE(strikeInterpolations_[i]->endCriteria()!=EndCriteria::MaxIterations,
// "section calibration failed: "
// "option time " << optionletTimes[i] <<
// ": " <<
// ", alpha " << strikeInterpolations_[i]->alpha()<<
// ", beta " << strikeInterpolations_[i]->beta() <<
// ", nu " << strikeInterpolations_[i]->nu() <<
// ", rho " << strikeInterpolations_[i]->rho() <<
// ", error " << strikeInterpolations_[i]->interpolationError()
// );
}
}
Rate StrippedOptionletAdapter::minStrike() const {
return optionletStripper_->optionletStrikes(0).front(); //FIX
}
Rate StrippedOptionletAdapter::maxStrike() const {
return optionletStripper_->optionletStrikes(0).back(); //FIX
}
Date StrippedOptionletAdapter::maxDate() const {
return optionletStripper_->optionletFixingDates().back();
}
VolatilityType StrippedOptionletAdapter::volatilityType() const {
return optionletStripper_->volatilityType();
}
Real StrippedOptionletAdapter::displacement() const {
return optionletStripper_->displacement();
}
}
|