File: sviinterpolatedsmilesection.cpp

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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */

/*
 Copyright (C) 2014 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
 <http://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/experimental/volatility/sviinterpolatedsmilesection.hpp>
#include <ql/settings.hpp>
#include <ql/quotes/simplequote.hpp>

namespace QuantLib {

SviInterpolatedSmileSection::SviInterpolatedSmileSection(
    const Date &optionDate, const Handle<Quote> &forward,
    const std::vector<Rate> &strikes, bool hasFloatingStrikes,
    const Handle<Quote> &atmVolatility,
    const std::vector<Handle<Quote> > &volHandles, Real a, Real b, Real sigma,
    Real rho, Real m, bool isAFixed, bool isBFixed, bool isSigmaFixed,
    bool isRhoFixed, bool isMFixed, bool vegaWeighted,
    const ext::shared_ptr<EndCriteria> &endCriteria,
    const ext::shared_ptr<OptimizationMethod> &method, const DayCounter &dc)
    : SmileSection(optionDate, dc), forward_(forward),
      atmVolatility_(atmVolatility), volHandles_(volHandles), strikes_(strikes),
      actualStrikes_(strikes), hasFloatingStrikes_(hasFloatingStrikes),
      vols_(volHandles.size()), a_(a), b_(b), sigma_(sigma), rho_(rho), m_(m),
      isAFixed_(isAFixed), isBFixed_(isBFixed), isSigmaFixed_(isSigmaFixed),
      isRhoFixed_(isRhoFixed), isMFixed_(isMFixed), vegaWeighted_(vegaWeighted),
      endCriteria_(endCriteria), method_(method) {

    LazyObject::registerWith(forward_);
    LazyObject::registerWith(atmVolatility_);
    for (Size i = 0; i < volHandles_.size(); ++i)
        LazyObject::registerWith(volHandles_[i]);
}

SviInterpolatedSmileSection::SviInterpolatedSmileSection(
    const Date &optionDate, const Rate &forward,
    const std::vector<Rate> &strikes, bool hasFloatingStrikes,
    const Volatility &atmVolatility, const std::vector<Volatility> &volHandles,
    Real a, Real b, Real sigma, Real rho, Real m, bool isAFixed, bool isBFixed,
    bool isSigmaFixed, bool isRhoFixed, bool isMFixed, bool vegaWeighted,
    const ext::shared_ptr<EndCriteria> &endCriteria,
    const ext::shared_ptr<OptimizationMethod> &method, const DayCounter &dc)
    : SmileSection(optionDate, dc),
      forward_(
          Handle<Quote>(ext::shared_ptr<Quote>(new SimpleQuote(forward)))),
      atmVolatility_(Handle<Quote>(
          ext::shared_ptr<Quote>(new SimpleQuote(atmVolatility)))),
      volHandles_(volHandles.size()), strikes_(strikes),
      actualStrikes_(strikes), hasFloatingStrikes_(hasFloatingStrikes),
      vols_(volHandles.size()), a_(a), b_(b), sigma_(sigma), rho_(rho), m_(m),
      isAFixed_(isAFixed), isBFixed_(isBFixed), isSigmaFixed_(isSigmaFixed),
      isRhoFixed_(isRhoFixed), isMFixed_(isMFixed), vegaWeighted_(vegaWeighted),
      endCriteria_(endCriteria), method_(method) {

    for (Size i = 0; i < volHandles_.size(); ++i)
        volHandles_[i] = Handle<Quote>(
            ext::shared_ptr<Quote>(new SimpleQuote(volHandles[i])));
}

void SviInterpolatedSmileSection::createInterpolation() const {
    ext::shared_ptr<SviInterpolation> tmp(new SviInterpolation(
        actualStrikes_.begin(), actualStrikes_.end(), vols_.begin(),
        exerciseTime(), forwardValue_, a_, b_, sigma_, rho_, m_, isAFixed_,
        isBFixed_, isSigmaFixed_, isRhoFixed_, isMFixed_, vegaWeighted_,
        endCriteria_, method_));
    swap(tmp, sviInterpolation_);
}

void SviInterpolatedSmileSection::performCalculations() const {
    forwardValue_ = forward_->value();
    vols_.clear();
    actualStrikes_.clear();
    // we populate the volatilities, skipping the invalid ones
    for (Size i = 0; i < volHandles_.size(); ++i) {
        if (volHandles_[i]->isValid()) {
            if (hasFloatingStrikes_) {
                actualStrikes_.push_back(forwardValue_ + strikes_[i]);
                vols_.push_back(atmVolatility_->value() +
                                volHandles_[i]->value());
            } else {
                actualStrikes_.push_back(strikes_[i]);
                vols_.push_back(volHandles_[i]->value());
            }
        }
    }
    // we are recreating the sabrinterpolation object unconditionnaly to
    // avoid iterator invalidation
    createInterpolation();
    sviInterpolation_->update();
}

Real SviInterpolatedSmileSection::varianceImpl(Real strike) const {
    calculate();
    Real v = (*sviInterpolation_)(strike, true);
    return v * v * exerciseTime();
}
}