Coverage Report

Created: 2025-12-08 06:13

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/src/quantlib/ql/pricingengines/vanilla/mceuropeanengine.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) 2000, 2001, 2002, 2003 RiskMap srl
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 Copyright (C) 2003 Ferdinando Ametrano
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 Copyright (C) 2007, 2008 StatPro Italia srl
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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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 <https://www.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 mceuropeanengine.hpp
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    \brief Monte Carlo European option engine
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*/
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#ifndef quantlib_montecarlo_european_engine_hpp
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#define quantlib_montecarlo_european_engine_hpp
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#include <ql/pricingengines/vanilla/mcvanillaengine.hpp>
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#include <ql/processes/blackscholesprocess.hpp>
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#include <ql/termstructures/volatility/equityfx/blackconstantvol.hpp>
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#include <ql/termstructures/volatility/equityfx/blackvariancecurve.hpp>
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namespace QuantLib {
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    //! European option pricing engine using Monte Carlo simulation
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    /*! \ingroup vanillaengines
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        \test the correctness of the returned value is tested by
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              checking it against analytic results.
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    */
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    template <class RNG = PseudoRandom, class S = Statistics>
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    class MCEuropeanEngine : public MCVanillaEngine<SingleVariate,RNG,S> {
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      public:
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        typedef
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        typename MCVanillaEngine<SingleVariate,RNG,S>::path_generator_type
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            path_generator_type;
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        typedef
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        typename MCVanillaEngine<SingleVariate,RNG,S>::path_pricer_type
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            path_pricer_type;
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        typedef typename MCVanillaEngine<SingleVariate,RNG,S>::stats_type
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            stats_type;
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        // constructor
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        MCEuropeanEngine(
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             const ext::shared_ptr<GeneralizedBlackScholesProcess>& process,
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             Size timeSteps,
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             Size timeStepsPerYear,
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             bool brownianBridge,
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             bool antitheticVariate,
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             Size requiredSamples,
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             Real requiredTolerance,
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             Size maxSamples,
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             BigNatural seed);
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      protected:
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        ext::shared_ptr<path_pricer_type> pathPricer() const override;
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    };
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    //! Monte Carlo European engine factory
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    template <class RNG = PseudoRandom, class S = Statistics>
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    class MakeMCEuropeanEngine {
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      public:
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        MakeMCEuropeanEngine(ext::shared_ptr<GeneralizedBlackScholesProcess>);
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        // named parameters
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        MakeMCEuropeanEngine& withSteps(Size steps);
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        MakeMCEuropeanEngine& withStepsPerYear(Size steps);
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        MakeMCEuropeanEngine& withBrownianBridge(bool b = true);
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        MakeMCEuropeanEngine& withSamples(Size samples);
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        MakeMCEuropeanEngine& withAbsoluteTolerance(Real tolerance);
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        MakeMCEuropeanEngine& withMaxSamples(Size samples);
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        MakeMCEuropeanEngine& withSeed(BigNatural seed);
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        MakeMCEuropeanEngine& withAntitheticVariate(bool b = true);
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        // conversion to pricing engine
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        operator ext::shared_ptr<PricingEngine>() const;
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      private:
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        ext::shared_ptr<GeneralizedBlackScholesProcess> process_;
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        bool antithetic_ = false;
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        Size steps_, stepsPerYear_, samples_, maxSamples_;
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        Real tolerance_;
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        bool brownianBridge_ = false;
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        BigNatural seed_ = 0;
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    };
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    class EuropeanPathPricer : public PathPricer<Path> {
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      public:
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        EuropeanPathPricer(Option::Type type,
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                           Real strike,
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                           DiscountFactor discount);
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        Real operator()(const Path& path) const override;
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      private:
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        PlainVanillaPayoff payoff_;
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        DiscountFactor discount_;
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    };
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    // inline definitions
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    template <class RNG, class S>
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    inline
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    MCEuropeanEngine<RNG,S>::MCEuropeanEngine(
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             const ext::shared_ptr<GeneralizedBlackScholesProcess>& process,
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             Size timeSteps,
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             Size timeStepsPerYear,
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             bool brownianBridge,
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             bool antitheticVariate,
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             Size requiredSamples,
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             Real requiredTolerance,
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             Size maxSamples,
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             BigNatural seed)
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    : MCVanillaEngine<SingleVariate,RNG,S>(process,
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                                           timeSteps,
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                                           timeStepsPerYear,
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                                           brownianBridge,
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                                           antitheticVariate,
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                                           false,
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                                           requiredSamples,
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                                           requiredTolerance,
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                                           maxSamples,
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                                           seed) {}
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    template <class RNG, class S>
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    inline
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    ext::shared_ptr<typename MCEuropeanEngine<RNG,S>::path_pricer_type>
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    MCEuropeanEngine<RNG,S>::pathPricer() const {
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        ext::shared_ptr<PlainVanillaPayoff> payoff =
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            ext::dynamic_pointer_cast<PlainVanillaPayoff>(
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                this->arguments_.payoff);
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        QL_REQUIRE(payoff, "non-plain payoff given");
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        ext::shared_ptr<GeneralizedBlackScholesProcess> process =
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            ext::dynamic_pointer_cast<GeneralizedBlackScholesProcess>(
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                this->process_);
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        QL_REQUIRE(process, "Black-Scholes process required");
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        return ext::shared_ptr<
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                       typename MCEuropeanEngine<RNG,S>::path_pricer_type>(
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          new EuropeanPathPricer(
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              payoff->optionType(),
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              payoff->strike(),
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              process->riskFreeRate()->discount(this->timeGrid().back())));
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG, S>::MakeMCEuropeanEngine(
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        ext::shared_ptr<GeneralizedBlackScholesProcess> process)
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    : process_(std::move(process)), steps_(Null<Size>()), stepsPerYear_(Null<Size>()),
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      samples_(Null<Size>()), maxSamples_(Null<Size>()), tolerance_(Null<Real>()) {}
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withSteps(Size steps) {
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        steps_ = steps;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withStepsPerYear(Size steps) {
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        stepsPerYear_ = steps;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withSamples(Size samples) {
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        QL_REQUIRE(tolerance_ == Null<Real>(),
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                   "tolerance already set");
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        samples_ = samples;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withAbsoluteTolerance(Real tolerance) {
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        QL_REQUIRE(samples_ == Null<Size>(),
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                   "number of samples already set");
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        QL_REQUIRE(RNG::allowsErrorEstimate,
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                   "chosen random generator policy "
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                   "does not allow an error estimate");
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        tolerance_ = tolerance;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withMaxSamples(Size samples) {
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        maxSamples_ = samples;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withSeed(BigNatural seed) {
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        seed_ = seed;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withBrownianBridge(bool brownianBridge) {
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        brownianBridge_ = brownianBridge;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline MakeMCEuropeanEngine<RNG,S>&
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    MakeMCEuropeanEngine<RNG,S>::withAntitheticVariate(bool b) {
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        antithetic_ = b;
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        return *this;
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    }
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    template <class RNG, class S>
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    inline
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    MakeMCEuropeanEngine<RNG,S>::operator ext::shared_ptr<PricingEngine>()
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                                                                      const {
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        QL_REQUIRE(steps_ != Null<Size>() || stepsPerYear_ != Null<Size>(),
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                   "number of steps not given");
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        QL_REQUIRE(steps_ == Null<Size>() || stepsPerYear_ == Null<Size>(),
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                   "number of steps overspecified");
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        return ext::shared_ptr<PricingEngine>(new
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            MCEuropeanEngine<RNG,S>(process_,
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                                    steps_,
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                                    stepsPerYear_,
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                                    brownianBridge_,
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                                    antithetic_,
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                                    samples_, tolerance_,
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                                    maxSamples_,
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                                    seed_));
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    }
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    inline EuropeanPathPricer::EuropeanPathPricer(Option::Type type,
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                                                  Real strike,
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                                                  DiscountFactor discount)
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    : payoff_(type, strike), discount_(discount) {
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        QL_REQUIRE(strike>=0.0,
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                   "strike less than zero not allowed");
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    }
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    inline Real EuropeanPathPricer::operator()(const Path& path) const {
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        QL_REQUIRE(!path.empty(), "the path cannot be empty");
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        return payoff_(path.back()) * discount_;
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    }
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}
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#endif