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Created: 2025-08-28 06:30

/src/quantlib/ql/pricingengines/americanpayoffatexpiry.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) 2004 Ferdinando Ametrano
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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 americanpayoffatexpiry.hpp
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    \brief Analytical formulae for american exercise with payoff at expiry
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*/
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#ifndef quantlib_americanpayoffatexpiry_h
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#define quantlib_americanpayoffatexpiry_h
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#include <ql/instruments/payoffs.hpp>
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namespace QuantLib {
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    //! Analytic formula for American exercise payoff at-expiry options
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    /*! \todo calculate greeks */
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    class AmericanPayoffAtExpiry {
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      public:
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        AmericanPayoffAtExpiry(
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                          Real spot,
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                          DiscountFactor discount,
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                          DiscountFactor dividendDiscount,
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                          Real variance,
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                          const ext::shared_ptr<StrikedTypePayoff>& payoff,
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                          bool knock_in = true);
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        Real value() const;
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      private:
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        Real spot_;
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        DiscountFactor discount_, dividendDiscount_;
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        Real variance_;
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        Real forward_;
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        Volatility stdDev_;
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        Real strike_, K_;
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        Real mu_, log_H_S_;
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        Real D1_, D2_, cum_d1_, cum_d2_, n_d1_, n_d2_;
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        bool inTheMoney_;
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        Real Y_, X_;
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        bool knock_in_;
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    };
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    // inline definitions
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    inline Real AmericanPayoffAtExpiry::value() const {
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        return discount_ * K_ * (X_ * cum_d1_ + Y_ * cum_d2_);
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    }
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}
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#endif