inflationcouponpricer.cpp

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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
 
/*
 Copyright (C) 2009 Chris Kenyon
 
 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/cashflows/inflationcouponpricer.hpp>
#include <ql/pricingengines/blackformula.hpp>
#include <ql/termstructures/volatility/inflation/yoyinflationoptionletvolatilitystructure.hpp>
#include <utility>
 
namespace QuantLib {
 
    void setCouponPricer(const Leg& leg,
                         const ext::shared_ptr<InflationCouponPricer>& p) {
        for (const auto& i : leg) {
            ext::shared_ptr<InflationCoupon> c = ext::dynamic_pointer_cast<InflationCoupon>(i);
            if (c != nullptr)
                c->setPricer(p);
        }
    }
 
 
    YoYInflationCouponPricer::YoYInflationCouponPricer(
        Handle<YieldTermStructure> nominalTermStructure)
    : nominalTermStructure_(std::move(nominalTermStructure)) {
        registerWith(nominalTermStructure_);
    }
 
    YoYInflationCouponPricer::YoYInflationCouponPricer(
        Handle<YoYOptionletVolatilitySurface> capletVol,
        Handle<YieldTermStructure> nominalTermStructure)
    : capletVol_(std::move(capletVol)), nominalTermStructure_(std::move(nominalTermStructure)) {
        registerWith(capletVol_);
        registerWith(nominalTermStructure_);
    }
 
 
    void YoYInflationCouponPricer::setCapletVolatility(
       const Handle<YoYOptionletVolatilitySurface>& capletVol) {
        QL_REQUIRE(!capletVol.empty(),"empty capletVol handle");
        capletVol_ = capletVol;
        registerWith(capletVol_);
    }
 
 
    Real YoYInflationCouponPricer::floorletPrice(Rate effectiveFloor) const{
        Real floorletPrice = optionletPrice(Option::Put, effectiveFloor);
        return gearing_ * floorletPrice;
    }
 
    Real YoYInflationCouponPricer::capletPrice(Rate effectiveCap) const{
        Real capletPrice = optionletPrice(Option::Call, effectiveCap);
        return gearing_ * capletPrice;
    }
 
 
    Rate YoYInflationCouponPricer::floorletRate(Rate effectiveFloor) const{
        return gearing_ * optionletRate(Option::Put, effectiveFloor);
    }
 
    Rate YoYInflationCouponPricer::capletRate(Rate effectiveCap) const{
        return gearing_ * optionletRate(Option::Call, effectiveCap);
    }
 
 
    Real YoYInflationCouponPricer::optionletPriceImp(
                                                    Option::Type,
                                                    Real,
                                                    Real,
                                                    Real) const {
        QL_FAIL("you must implement this to get a vol-dependent price");
    }
 
 
    Real YoYInflationCouponPricer::optionletPrice(Option::Type optionType,
                                                  Real effStrike) const {
        QL_REQUIRE(discount_ != Null<Real>(), "no nominal term structure provided");
        return optionletRate(optionType, effStrike) * coupon_->accrualPeriod() * discount_;
    }
 
 
    Real YoYInflationCouponPricer::optionletRate(Option::Type optionType,
                                                 Real effStrike) const {
        Date fixingDate = coupon_->fixingDate();
        if (fixingDate <= capletVolatility()->baseDate()) {
            // the amount is determined
            Real a, b;
            if (optionType==Option::Call) {
                a = coupon_->indexFixing();
                b = effStrike;
            } else {
                a = effStrike;
                b = coupon_->indexFixing();
            }
            return std::max(a - b, 0.0);
        } else {
            // not yet determined, use Black/DD1/Bachelier/whatever from Impl
            QL_REQUIRE(!capletVolatility().empty(), "missing optionlet volatility");
 
            Real stdDev =
                std::sqrt(capletVolatility()->totalVariance(fixingDate,
                                                            effStrike,
                                                            Period(0, Days)));
            return optionletPriceImp(optionType,
                                     effStrike,
                                     adjustedFixing(),
                                     stdDev);
        }
    }
 
 
    Rate YoYInflationCouponPricer::adjustedFixing(Rate fixing) const {
 
        if (fixing == Null<Rate>())
            fixing = coupon_->indexFixing();
 
        // no adjustment
        return fixing;
    }
 
 
    void YoYInflationCouponPricer::initialize(const InflationCoupon& coupon) {
        coupon_ = dynamic_cast<const YoYInflationCoupon*>(&coupon);
        QL_REQUIRE(coupon_, "year-on-year inflation coupon needed");
        gearing_ = coupon_->gearing();
        spread_ = coupon_->spread();
        paymentDate_ = coupon_->date();
 
        // past or future fixing is managed in YoYInflationIndex::fixing()
        // use yield curve from index (which sets discount)
 
        discount_ = 1.0;
        if (nominalTermStructure_.empty()) {
            // allow to extract rates, but mark the discount as invalid for prices
            discount_ = Null<Real>();
        } else {
            if (paymentDate_ > nominalTermStructure_->referenceDate())
                discount_ = nominalTermStructure_->discount(paymentDate_);
        }
    }
 
 
    Real YoYInflationCouponPricer::swapletPrice() const {
        QL_REQUIRE(discount_ != Null<Real>(), "no nominal term structure provided");
        return swapletRate() * coupon_->accrualPeriod() * discount_;
    }
 
 
    Rate YoYInflationCouponPricer::swapletRate() const {
        // This way we do not require the index to have
        // a yield curve, i.e. we do not get the problem
        // that a discounting-instrument-pricer is used
        // with a different yield curve
        return gearing_ * adjustedFixing() + spread_;
    }
 
 
    //=========================================================================
    // vol-dependent pricers, note that these do not discount
    //=========================================================================
 
 
 
    Real BlackYoYInflationCouponPricer::optionletPriceImp(Option::Type optionType,
                                                     Real  effStrike,
                                                     Real  forward,
                                                     Real stdDev
                                                     ) const {
 
        return blackFormula(optionType,
                            effStrike,
                            forward,
                            stdDev);
    }
 
    Real UnitDisplacedBlackYoYInflationCouponPricer::optionletPriceImp(Option::Type optionType,
                                                                  Real  effStrike,
                                                                  Real  forward,
                                                                  Real stdDev
                                                          ) const {
 
        return blackFormula(optionType,
                            effStrike + 1.0,
                            forward + 1.0,
                            stdDev);
    }
 
    Real BachelierYoYInflationCouponPricer::optionletPriceImp(Option::Type optionType,
                                                              Real  effStrike,
                                                              Real  forward,
                                                              Real stdDev
                                                          ) const {
        return bachelierBlackFormula(optionType,
                                     effStrike,
                                     forward,
                                     stdDev);
    }
 
}