/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ /* Copyright (C) 2004 StatPro Italia srl 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 . The license is also available online at . 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 #include #include namespace QuantLib { void AnalyticDividendEuropeanEngine::calculate() const { QL_REQUIRE(arguments_.exercise->type() == Exercise::European, "not an European option"); boost::shared_ptr payoff = boost::dynamic_pointer_cast(arguments_.payoff); QL_REQUIRE(payoff, "non-striked payoff given"); boost::shared_ptr process = boost::dynamic_pointer_cast( arguments_.stochasticProcess); QL_REQUIRE(process, "Black-Scholes process required"); Date settlementDate = process->riskFreeRate()->referenceDate(); Real riskless = 0.0; Size i; for (i=0; idate() >= settlementDate) riskless += arguments_.cashFlow[i]->amount() * process->riskFreeRate() ->discount(arguments_.cashFlow[i]->date()); Real spot = process->stateVariable()->value() - riskless; DiscountFactor dividendDiscount = process->dividendYield()->discount(arguments_.exercise->lastDate()); DiscountFactor riskFreeDiscount = process->riskFreeRate()->discount(arguments_.exercise->lastDate()); Real forwardPrice = spot * dividendDiscount / riskFreeDiscount; Real variance = process->blackVolatility()->blackVariance( arguments_.exercise->lastDate(), payoff->strike()); BlackCalculator black(payoff, forwardPrice, std::sqrt(variance), riskFreeDiscount); results_.value = black.value(); results_.delta = black.delta(spot); results_.gamma = black.gamma(spot); DayCounter rfdc = process->riskFreeRate()->dayCounter(); DayCounter voldc = process->blackVolatility()->dayCounter(); Time t = voldc.yearFraction( process->blackVolatility()->referenceDate(), arguments_.exercise->lastDate()); results_.vega = black.vega(t); Real delta_theta = 0.0, delta_rho = 0.0; for (i = 0; i < arguments_.cashFlow.size(); i++) { Date d = arguments_.cashFlow[i]->date(); if (d >= settlementDate) { delta_theta -= arguments_.cashFlow[i]->amount() * process->riskFreeRate()->zeroRate(d,rfdc,Continuous,Annual)* process->riskFreeRate()->discount(d); Time t = process->time(d); delta_rho += arguments_.cashFlow[i]->amount() * t * process->riskFreeRate()->discount(t); } } t = process->time(arguments_.exercise->lastDate()); try { results_.theta = black.theta(spot, t) + delta_theta * black.delta(spot); } catch (Error&) { results_.theta = Null(); } results_.rho = black.rho(t) + delta_rho * black.delta(spot); } }