/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ /*! Copyright (C) 2005, 2006 Theo Boafo Copyright (C) 2006 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. */ // the only header you need to use QuantLib #define BOOST_LIB_DIAGNOSTIC # include #undef BOOST_LIB_DIAGNOSTIC #ifdef BOOST_MSVC /* Uncomment the following lines to unmask floating-point exceptions. Warning: unpredictable results can arise... See http://www.wilmott.com/messageview.cfm?catid=10&threadid=9481 Is there anyone with a definitive word about this? */ // #include // namespace { unsigned int u = _controlfp(_EM_INEXACT, _MCW_EM); } #endif #include #include #include #define LENGTH(a) (sizeof(a)/sizeof(a[0])) using namespace QuantLib; #if defined(QL_ENABLE_SESSIONS) namespace QuantLib { Integer sessionId() { return 0; } } #endif int main(int, char* []) { try { boost::timer timer; std::cout << std::endl; Option::Type type(Option::Put); Real underlying = 36.0; Real spreadRate = 0.005; Spread dividendYield = 0.02; Rate riskFreeRate = 0.06; Volatility volatility = 0.20; Integer settlementDays = 3; Integer length = 5; Real redemption = 100.0; Real conversionRatio = redemption/underlying; // at the money // set up dates/schedules Calendar calendar = TARGET(); Date today = calendar.adjust(Date::todaysDate()); Settings::instance().evaluationDate() = today; Date settlementDate = calendar.advance(today, settlementDays, Days); Date exerciseDate = calendar.advance(settlementDate, length, Years); Date issueDate = calendar.advance(exerciseDate, -length, Years); BusinessDayConvention convention = ModifiedFollowing; Frequency frequency = Annual; Schedule schedule(issueDate,exerciseDate,Period(frequency),calendar, convention, convention, true, false); DividendSchedule dividends; CallabilitySchedule callability; std::vector coupons(1, 0.05); DayCounter bondDayCount = Thirty360(); Integer callLength[] = { 2, 4 }; // Call dates, years 2, 4. Integer putLength[] = { 3 }; // Put dates year 3 Real callPrices[] = { 101.5, 100.85 }; Real putPrices[]= { 105.0 }; // Load call schedules for (Size i=0; i( new SoftCallability(Callability::Price( callPrices[i], Callability::Price::Clean), schedule.date(callLength[i]), 1.20))); } for (Size j=0; j( new Callability(Callability::Price( putPrices[j], Callability::Price::Clean), Callability::Put, schedule.date(putLength[j])))); } // Assume dividends are paid every 6 months. for (Date d = today + 6*Months; d < exerciseDate; d += 6*Months) { dividends.push_back( boost::shared_ptr(new FixedDividend(1.0, d))); } DayCounter dayCounter = Actual365Fixed(); Time maturity = dayCounter.yearFraction(settlementDate, exerciseDate); std::cout << "option type = " << type << std::endl; std::cout << "Time to maturity = " << maturity << std::endl; std::cout << "Underlying price = " << underlying << std::endl; std::cout << "Risk-free interest rate = " << io::rate(riskFreeRate) << std::endl; std::cout << "Dividend yield = " << io::rate(dividendYield) << std::endl; std::cout << "Volatility = " << io::volatility(volatility) << std::endl; std::cout << std::endl; std::string method; std::cout << std::endl ; // write column headings Size widths[] = { 35, 14, 14 }; Size totalWidth = widths[0] + widths[1] + widths[2]; std::string rule(totalWidth, '-'), dblrule(totalWidth, '='); std::cout << dblrule << std::endl; std::cout << "Tsiveriotis-Fernandes method" << std::endl; std::cout << dblrule << std::endl; std::cout << std::setw(widths[0]) << std::left << "Tree type" << std::setw(widths[1]) << std::left << "European" << std::setw(widths[1]) << std::left << "American" << std::endl; std::cout << rule << std::endl; boost::shared_ptr exercise( new EuropeanExercise(exerciseDate)); boost::shared_ptr amExercise( new AmericanExercise(settlementDate, exerciseDate)); Handle underlyingH( boost::shared_ptr(new SimpleQuote(underlying))); Handle flatTermStructure( boost::shared_ptr( new FlatForward(settlementDate, riskFreeRate, dayCounter))); Handle flatDividendTS( boost::shared_ptr( new FlatForward(settlementDate, dividendYield, dayCounter))); Handle flatVolTS( boost::shared_ptr( new BlackConstantVol(settlementDate, volatility, dayCounter))); boost::shared_ptr stochasticProcess( new BlackScholesMertonProcess(underlyingH, flatDividendTS, flatTermStructure, flatVolTS)); Size timeSteps = 801; Handle creditSpread( boost::shared_ptr(new SimpleQuote(spreadRate))); boost::shared_ptr rate(new SimpleQuote(riskFreeRate)); Handle discountCurve( boost::shared_ptr( new FlatForward(today, Handle(rate), dayCounter))); boost::shared_ptr engine( new BinomialConvertibleEngine(timeSteps)); ConvertibleFixedCouponBond europeanBond( stochasticProcess, exercise, engine, conversionRatio, dividends, callability, creditSpread, issueDate, settlementDays, coupons, bondDayCount, schedule, redemption); ConvertibleFixedCouponBond americanBond( stochasticProcess, amExercise, engine, conversionRatio, dividends, callability, creditSpread, issueDate, settlementDays, coupons, bondDayCount, schedule, redemption); method = "Jarrow-Rudd"; europeanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); americanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); std::cout << std::setw(widths[0]) << std::left << method << std::fixed << std::setw(widths[1]) << std::left << europeanBond.NPV() << std::setw(widths[2]) << std::left << americanBond.NPV() << std::endl; method = "Cox-Ross-Rubinstein"; europeanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); americanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); std::cout << std::setw(widths[0]) << std::left << method << std::fixed << std::setw(widths[1]) << std::left << europeanBond.NPV() << std::setw(widths[2]) << std::left << americanBond.NPV() << std::endl; method = "Additive equiprobabilities"; europeanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); americanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); std::cout << std::setw(widths[0]) << std::left << method << std::fixed << std::setw(widths[1]) << std::left << europeanBond.NPV() << std::setw(widths[2]) << std::left << americanBond.NPV() << std::endl; method = "Trigeorgis"; europeanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); americanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); std::cout << std::setw(widths[0]) << std::left << method << std::fixed << std::setw(widths[1]) << std::left << europeanBond.NPV() << std::setw(widths[2]) << std::left << americanBond.NPV() << std::endl; method = "Tian"; europeanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); americanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); std::cout << std::setw(widths[0]) << std::left << method << std::fixed << std::setw(widths[1]) << std::left << europeanBond.NPV() << std::setw(widths[2]) << std::left << americanBond.NPV() << std::endl; method = "Leisen-Reimer"; europeanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); americanBond.setPricingEngine(boost::shared_ptr( new BinomialConvertibleEngine(timeSteps))); std::cout << std::setw(widths[0]) << std::left << method << std::fixed << std::setw(widths[1]) << std::left << europeanBond.NPV() << std::setw(widths[2]) << std::left << americanBond.NPV() << std::endl; std::cout << dblrule << std::endl; Real seconds = timer.elapsed(); Integer hours = int(seconds/3600); seconds -= hours * 3600; Integer minutes = int(seconds/60); seconds -= minutes * 60; std::cout << " \nRun completed in "; if (hours > 0) std::cout << hours << " h "; if (hours > 0 || minutes > 0) std::cout << minutes << " m "; std::cout << std::fixed << std::setprecision(0) << seconds << " s\n" << std::endl; return 0; } catch (std::exception& e) { std::cout << e.what() << std::endl; return 1; } catch (...) { std::cout << "unknown error" << std::endl; return 1; } }