// The constructor does the work to generate the results.
AccumulatorCalculator::AccumulatorCalculator(
AccumulatorContract* pAccumContract, MarketCaches* pMarketCaches,
ResultSet* pResultSet) // constructor will set the resultSet
: CalculatorBase(pAccumContract, pMarketCaches, pResultSet)
{
boost::shared_ptr<AccumulatorMCEngine> accumMCEngine = (boost::shared_ptr<AccumulatorMCEngine>)
new AccumulatorMCEngine(pAccumContract, pMarketCaches);
boost::shared_ptr<StockData> stockData = pMarketCaches->getStockDataCache()->
get(pAccumContract->m_underlyingID, pAccumContract->m_underlyingIDType);
std::string stockCurrency = stockData->getCurrency();
boost::shared_ptr<Prices> prices = pMarketCaches->getStockPricesCache()->
get(pAccumContract->m_underlyingID, pAccumContract->m_underlyingIDType);
Handle<Quote> underlyingH(boost::shared_ptr<Quote>(new SimpleQuote(prices->getCurrentPrice())));
Handle<YieldTermStructure> yieldTS (pMarketCaches->getYieldTSCache()->get( CONST_STR_risk_free_rate, stockCurrency));
Handle<YieldTermStructure> dividendYieldTS(boost::shared_ptr<YieldTermStructure>(
new FlatForward(pMarketCaches->getEvalDate(), stockData->getDividendYield(), Actual365Fixed())));
Date finalAccumDate = pAccumContract->m_periodEndDates[pAccumContract->m_numPeriods-1];
Handle<BlackVolTermStructure> flatVolTS(boost::shared_ptr<BlackVolTermStructure>(
new BlackConstantVol(finalAccumDate, *(accumMCEngine->getUndlHolCal()) , stockData->getFlatVol(), Actual365Fixed())));
//////////////////////////////////////////////////////////////////////
boost::shared_ptr<StochasticProcess1D> stochasticPro(new BlackScholesMertonProcess
(underlyingH, dividendYieldTS, yieldTS, flatVolTS));
Size nTimeSteps = accumMCEngine->getNumMCTimeSteps();
PseudoRandom::rsg_type rsg = PseudoRandom::make_sequence_generator(
nTimeSteps,
getConfig()->getRandomGeneratorSeed());
bool brownianBridge = false;
Time years = (finalAccumDate - pMarketCaches->getEvalDate())/ 365.0;
typedef SingleVariate<PseudoRandom>::path_generator_type generator_type;
boost::shared_ptr<generator_type> myPathGenerator(new
generator_type(stochasticPro, years, nTimeSteps, rsg, brownianBridge));
// a statistics accumulator for the path-dependant Profit&Loss values
Statistics statisticsAccumulator;
bool antithetic = true;
// The Monte Carlo model generates paths using myPathGenerator
// each path is priced using myPathPricer
// prices will be accumulated into statisticsAccumulator
MonteCarloModel<SingleVariate,PseudoRandom> MCSimulation(myPathGenerator, accumMCEngine,
statisticsAccumulator, antithetic );
MCSimulation.addSamples(atoi(getConfig()->get("accumulator_num_mc_samples").c_str()));
Real cashValue = MCSimulation.sampleAccumulator().mean();
Real errorEstimate = MCSimulation.sampleAccumulator().errorEstimate() / accumMCEngine->getRemainingNotional();
writeDiagnostics("Error estimate is " + toString(errorEstimate), mid, "Accum");
/////////////////////////////////////////////////////////////////////////////
// populate results
boost::shared_ptr<Result> perUnitValRes = (boost::shared_ptr<Result>) new Result();
Real pricePerUnitRemainingNotional = cashValue / accumMCEngine->getRemainingNotional();
perUnitValRes->setValueAndCategory(price_per_unit_notional, pricePerUnitRemainingNotional);
perUnitValRes->setAttribute(contract_category, "accumulator", true);
perUnitValRes->setAttribute(contract_id, pAccumContract->getID(), true);
perUnitValRes->setAttribute(underlying_id, pAccumContract->m_underlyingID, true);
pResultSet->addNewResult(perUnitValRes);
// we don't have to reset the attributes because we are using the copy constructor
boost::shared_ptr<Result> cashValRes = (boost::shared_ptr<Result>) new Result(*perUnitValRes);
cashValRes->setAttribute(currency, accumMCEngine->getCurrency(), true);
cashValRes->setValueAndCategory(cash_price, cashValue);
pResultSet->addNewResult(cashValRes);
}
int TestFromQuantLib() {
try {
boost::timer timer;
std::cout << std::endl;
// set up dates
Calendar calendar = TARGET();
Date todaysDate(15, May, 1998);
Date settlementDate(17, May, 1998);
Settings::instance().evaluationDate() = todaysDate;
// our options
Option::Type type(Option::Put);
Real underlying = 36;
Real strike = 40;
Spread dividendYield = 0.00;
Rate riskFreeRate = 0.06;
Volatility volatility = 0.20;
Date maturity(17, May, 1999);
DayCounter dayCounter = Actual365Fixed();
std::cout << "Option type = " << type << std::endl;
std::cout << "Maturity = " << maturity << std::endl;
std::cout << "Underlying price = " << underlying << std::endl;
std::cout << "Strike = " << strike << 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, 14 };
std::cout << std::setw(widths[0]) << std::left << "Method"
<< std::setw(widths[1]) << std::left << "European"
<< std::setw(widths[2]) << std::left << "Bermudan"
<< std::setw(widths[3]) << std::left << "American"
<< std::endl;
std::vector<Date> exerciseDates;
for (Integer i = 1; i <= 4; i++)
exerciseDates.push_back(settlementDate + 3 * i*Months);
boost::shared_ptr<Exercise> europeanExercise(
new EuropeanExercise(maturity));
boost::shared_ptr<Exercise> bermudanExercise(
new BermudanExercise(exerciseDates));
boost::shared_ptr<Exercise> americanExercise(
new AmericanExercise(settlementDate,
maturity));
Handle<Quote> underlyingH(
boost::shared_ptr<Quote>(new SimpleQuote(underlying)));
// bootstrap the yield/dividend/vol curves
Handle<YieldTermStructure> flatTermStructure(
boost::shared_ptr<YieldTermStructure>(
new FlatForward(settlementDate, riskFreeRate, dayCounter)));
Handle<YieldTermStructure> flatDividendTS(
boost::shared_ptr<YieldTermStructure>(
new FlatForward(settlementDate, dividendYield, dayCounter)));
Handle<BlackVolTermStructure> flatVolTS(
boost::shared_ptr<BlackVolTermStructure>(
new BlackConstantVol(settlementDate, calendar, volatility,
dayCounter)));
boost::shared_ptr<StrikedTypePayoff> payoff(
new PlainVanillaPayoff(type, strike));
boost::shared_ptr<BlackScholesMertonProcess> bsmProcess(
new BlackScholesMertonProcess(underlyingH, flatDividendTS,
flatTermStructure, flatVolTS));
// options
VanillaOption europeanOption(payoff, europeanExercise);
VanillaOption bermudanOption(payoff, bermudanExercise);
VanillaOption americanOption(payoff, americanExercise);
// Analytic formulas:
// Black-Scholes for European
method = "Black-Scholes";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new AnalyticEuropeanEngine(bsmProcess)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << "N/A"
<< std::endl;
// semi-analytic Heston for European
method = "Heston semi-analytic";
boost::shared_ptr<HestonProcess> hestonProcess(
new HestonProcess(flatTermStructure, flatDividendTS,
underlyingH, volatility*volatility,
1.0, volatility*volatility, 0.001, 0.0));
boost::shared_ptr<HestonModel> hestonModel(
new HestonModel(hestonProcess));
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new AnalyticHestonEngine(hestonModel)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << "N/A"
<< std::endl;
// semi-analytic Bates for European
method = "Bates semi-analytic";
boost::shared_ptr<BatesProcess> batesProcess(
new BatesProcess(flatTermStructure, flatDividendTS,
underlyingH, volatility*volatility,
1.0, volatility*volatility, 0.001, 0.0,
1e-14, 1e-14, 1e-14));
boost::shared_ptr<BatesModel> batesModel(new BatesModel(batesProcess));
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BatesEngine(batesModel)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << "N/A"
<< std::endl;
// Barone-Adesi and Whaley approximation for American
method = "Barone-Adesi/Whaley";
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BaroneAdesiWhaleyApproximationEngine(bsmProcess)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << "N/A"
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Bjerksund and Stensland approximation for American
method = "Bjerksund/Stensland";
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BjerksundStenslandApproximationEngine(bsmProcess)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << "N/A"
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Integral
method = "Integral";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new IntegralEngine(bsmProcess)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << "N/A"
<< std::endl;
// Finite differences
Size timeSteps = 801;
method = "Finite differences";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new FDEuropeanEngine<CrankNicolson>(bsmProcess,
timeSteps, timeSteps - 1)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new FDBermudanEngine<CrankNicolson>(bsmProcess,
timeSteps, timeSteps - 1)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new FDAmericanEngine<CrankNicolson>(bsmProcess,
timeSteps, timeSteps - 1)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Binomial method: Jarrow-Rudd
method = "Binomial Jarrow-Rudd";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<JarrowRudd>(bsmProcess, timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<JarrowRudd>(bsmProcess, timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<JarrowRudd>(bsmProcess, timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
method = "Binomial Cox-Ross-Rubinstein";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<CoxRossRubinstein>(bsmProcess,
timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<CoxRossRubinstein>(bsmProcess,
timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<CoxRossRubinstein>(bsmProcess,
timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Binomial method: Additive equiprobabilities
method = "Additive equiprobabilities";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<AdditiveEQPBinomialTree>(bsmProcess,
timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<AdditiveEQPBinomialTree>(bsmProcess,
timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<AdditiveEQPBinomialTree>(bsmProcess,
timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Binomial method: Binomial Trigeorgis
method = "Binomial Trigeorgis";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Trigeorgis>(bsmProcess, timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Trigeorgis>(bsmProcess, timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Trigeorgis>(bsmProcess, timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Binomial method: Binomial Tian
method = "Binomial Tian";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Tian>(bsmProcess, timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Tian>(bsmProcess, timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Tian>(bsmProcess, timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Binomial method: Binomial Leisen-Reimer
method = "Binomial Leisen-Reimer";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<LeisenReimer>(bsmProcess, timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<LeisenReimer>(bsmProcess, timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<LeisenReimer>(bsmProcess, timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Binomial method: Binomial Joshi
method = "Binomial Joshi";
europeanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Joshi4>(bsmProcess, timeSteps)));
bermudanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Joshi4>(bsmProcess, timeSteps)));
americanOption.setPricingEngine(boost::shared_ptr<PricingEngine>(
new BinomialVanillaEngine<Joshi4>(bsmProcess, timeSteps)));
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << bermudanOption.NPV()
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// Monte Carlo Method: MC (crude)
timeSteps = 1;
method = "MC (crude)";
Size mcSeed = 42;
boost::shared_ptr<PricingEngine> mcengine1;
mcengine1 = MakeMCEuropeanEngine<PseudoRandom>(bsmProcess)
.withSteps(timeSteps)
.withAbsoluteTolerance(0.02)
.withSeed(mcSeed);
europeanOption.setPricingEngine(mcengine1);
// Real errorEstimate = europeanOption.errorEstimate();
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << "N/A"
<< std::endl;
// Monte Carlo Method: QMC (Sobol)
method = "QMC (Sobol)";
Size nSamples = 32768; // 2^15
boost::shared_ptr<PricingEngine> mcengine2;
mcengine2 = MakeMCEuropeanEngine<LowDiscrepancy>(bsmProcess)
.withSteps(timeSteps)
.withSamples(nSamples);
europeanOption.setPricingEngine(mcengine2);
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << europeanOption.NPV()
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << "N/A"
<< std::endl;
// Monte Carlo Method: MC (Longstaff Schwartz)
method = "MC (Longstaff Schwartz)";
boost::shared_ptr<PricingEngine> mcengine3;
mcengine3 = MakeMCAmericanEngine<PseudoRandom>(bsmProcess)
.withSteps(100)
.withAntitheticVariate()
.withCalibrationSamples(4096)
.withAbsoluteTolerance(0.02)
.withSeed(mcSeed);
americanOption.setPricingEngine(mcengine3);
std::cout << std::setw(widths[0]) << std::left << method
<< std::fixed
<< std::setw(widths[1]) << std::left << "N/A"
<< std::setw(widths[2]) << std::left << "N/A"
<< std::setw(widths[3]) << std::left << americanOption.NPV()
<< std::endl;
// End test
double 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::cerr << e.what() << std::endl;
return 1;
}
catch (...) {
std::cerr << "unknown error" << std::endl;
return 1;
}
}