// [[Rcpp::export]]
Rcpp::List asianOptionEngine(std::string averageType,
std::string type,
double underlying,
double strike,
double dividendYield,
double riskFreeRate,
double maturity,
double volatility,
double first,
double length,
size_t fixings) {
QuantLib::Option::Type optionType = getOptionType(type);
//from test-suite/asionoptions.cpp
QuantLib::DayCounter dc = QuantLib::Actual360();
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
QuantLib::ext::shared_ptr<QuantLib::SimpleQuote> spot(new QuantLib::SimpleQuote(underlying));
QuantLib::ext::shared_ptr<QuantLib::SimpleQuote> qRate(new QuantLib::SimpleQuote(dividendYield));
QuantLib::ext::shared_ptr<QuantLib::YieldTermStructure> qTS = flatRate(today, qRate, dc);
QuantLib::ext::shared_ptr<QuantLib::SimpleQuote> rRate(new QuantLib::SimpleQuote(riskFreeRate));
QuantLib::ext::shared_ptr<QuantLib::YieldTermStructure> rTS = flatRate(today, rRate, dc);
QuantLib::ext::shared_ptr<QuantLib::SimpleQuote> vol(new QuantLib::SimpleQuote(volatility));
QuantLib::ext::shared_ptr<QuantLib::BlackVolTermStructure> volTS = flatVol(today, vol, dc);
QuantLib::ext::shared_ptr<QuantLib::BlackScholesMertonProcess>
stochProcess(new
QuantLib::BlackScholesMertonProcess(QuantLib::Handle<QuantLib::Quote>(spot),
QuantLib::Handle<QuantLib::YieldTermStructure>(qTS),
QuantLib::Handle<QuantLib::YieldTermStructure>(rTS),
QuantLib::Handle<QuantLib::BlackVolTermStructure>(volTS)));
QuantLib::ext::shared_ptr<QuantLib::StrikedTypePayoff>
payoff(new QuantLib::PlainVanillaPayoff(optionType,strike));
Rcpp::List rl = R_NilValue;
if (averageType=="geometric"){
QuantLib::ext::shared_ptr<QuantLib::PricingEngine>
engine(new
QuantLib::AnalyticContinuousGeometricAveragePriceAsianEngine(stochProcess));
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
QuantLib::Date exDate(today.dateTime() + boost::posix_time::minutes(boost::uint64_t(maturity * 360 * 24 * 60)));
#else
QuantLib::Date exDate = today + int(maturity * 360 + 0.5);
#endif
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::EuropeanExercise(exDate));
QuantLib::ContinuousAveragingAsianOption option(QuantLib::Average::Geometric,
payoff, exercise);
option.setPricingEngine(engine);
rl = Rcpp::List::create(Rcpp::Named("value") = option.NPV(),
Rcpp::Named("delta") = option.delta(),
Rcpp::Named("gamma") = option.gamma(),
Rcpp::Named("vega") = option.vega(),
Rcpp::Named("theta") = option.theta(),
Rcpp::Named("rho") = option.rho(),
Rcpp::Named("divRho") = option.dividendRho());
} else if (averageType=="arithmetic") {
// TODO: check fixings > 1, first, length
if (first < 0) Rcpp::stop("Parameter 'first' must be non-negative.");
if (length < 0) Rcpp::stop("Parameter 'length' must be non-negative.");
if (fixings <= 1) Rcpp::stop("Parameter 'fixings' must be larger than one.");
boost::shared_ptr<QuantLib::PricingEngine> engine =
QuantLib::MakeMCDiscreteArithmeticAPEngine<QuantLib::LowDiscrepancy>(stochProcess)
.withSamples(2047)
.withControlVariate();
//boost::shared_ptr<PricingEngine> engine =
// MakeMCDiscreteArithmeticASEngine<LowDiscrepancy>(stochProcess)
// .withSeed(3456789)
// .withSamples(1023);
QuantLib::Time dt = length / (fixings - 1);
std::vector<QuantLib::Time> timeIncrements(fixings);
std::vector<QuantLib::Date> fixingDates(fixings);
timeIncrements[0] = first;
fixingDates[0] = today + QuantLib::Integer(timeIncrements[0] * 360 + 0.5);
for (QuantLib::Size i=1; i<fixings; i++) {
timeIncrements[i] = i*dt + first;
#ifdef QL_HIGH_RESOLUTION_DATE
fixingDates[i]= QuantLib::Date(today.dateTime() + boost::posix_time::minutes(boost::uint64_t(timeIncrements[i] * 360 * 24 * 60)));
#else
fixingDates[i] = today + QuantLib::Integer(timeIncrements[i]*360+0.5);
#endif
}
QuantLib::Real runningSum = 0.0;
QuantLib::Size pastFixing = 0;
boost::shared_ptr<QuantLib::Exercise>
exercise(new QuantLib::EuropeanExercise(fixingDates[fixings-1]));
QuantLib::DiscreteAveragingAsianOption option(QuantLib::Average::Arithmetic,
runningSum,
pastFixing,
fixingDates,
payoff,
exercise);
option.setPricingEngine(engine);
rl = Rcpp::List::create(Rcpp::Named("value") = option.NPV(),
Rcpp::Named("delta") = R_NaReal,
Rcpp::Named("gamma") = R_NaReal,
Rcpp::Named("vega") = R_NaReal,
Rcpp::Named("theta") = R_NaReal,
Rcpp::Named("rho") = R_NaReal,
Rcpp::Named("divRho") = R_NaReal);
}
return rl;
}
RcppExport SEXP AsianOption(SEXP optionParameters){
try{
Rcpp::List rparam(optionParameters);
std::string avgType = Rcpp::as<std::string>(rparam["averageType"]);
std::string type = Rcpp::as<std::string>(rparam["type"]);
double underlying = Rcpp::as<double>(rparam["underlying"]);
double strike = Rcpp::as<double>(rparam["strike"]);
QuantLib::Spread dividendYield = Rcpp::as<double>(rparam["dividendYield"]);
QuantLib::Rate riskFreeRate = Rcpp::as<double>(rparam["riskFreeRate"]);
QuantLib::Time maturity = Rcpp::as<double>(rparam["maturity"]);
// int length = int(maturity*360 + 0.5); // FIXME: this could be better
double volatility = Rcpp::as<double>(rparam["volatility"]);
QuantLib::Option::Type optionType = getOptionType(type);
//from test-suite/asionoptions.cpp
QuantLib::DayCounter dc = QuantLib::Actual360();
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
boost::shared_ptr<QuantLib::SimpleQuote> spot(new QuantLib::SimpleQuote(underlying));
boost::shared_ptr<QuantLib::SimpleQuote> qRate(new QuantLib::SimpleQuote(dividendYield));
boost::shared_ptr<QuantLib::YieldTermStructure> qTS = flatRate(today, qRate, dc);
boost::shared_ptr<QuantLib::SimpleQuote> rRate(new QuantLib::SimpleQuote(riskFreeRate));
boost::shared_ptr<QuantLib::YieldTermStructure> rTS = flatRate(today, rRate, dc);
boost::shared_ptr<QuantLib::SimpleQuote> vol(new QuantLib::SimpleQuote(volatility));
boost::shared_ptr<QuantLib::BlackVolTermStructure> volTS = flatVol(today, vol, dc);
boost::shared_ptr<QuantLib::BlackScholesMertonProcess>
stochProcess(new
QuantLib::BlackScholesMertonProcess(QuantLib::Handle<QuantLib::Quote>(spot),
QuantLib::Handle<QuantLib::YieldTermStructure>(qTS),
QuantLib::Handle<QuantLib::YieldTermStructure>(rTS),
QuantLib::Handle<QuantLib::BlackVolTermStructure>(volTS)));
boost::shared_ptr<QuantLib::StrikedTypePayoff> payoff(new QuantLib::PlainVanillaPayoff(optionType,strike));
QuantLib::Average::Type averageType = QuantLib::Average::Geometric;
Rcpp::List rl = R_NilValue;
if (avgType=="geometric"){
averageType = QuantLib::Average::Geometric;
boost::shared_ptr<QuantLib::PricingEngine>
engine(new
QuantLib::AnalyticContinuousGeometricAveragePriceAsianEngine(stochProcess));
QuantLib::Date exDate = today + int(maturity * 360 + 0.5);
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::EuropeanExercise(exDate));
QuantLib::ContinuousAveragingAsianOption option(averageType, payoff, exercise);
option.setPricingEngine(engine);
rl = Rcpp::List::create(Rcpp::Named("value") = option.NPV(),
Rcpp::Named("delta") = option.delta(),
Rcpp::Named("gamma") = option.gamma(),
Rcpp::Named("vega") = option.vega(),
Rcpp::Named("theta") = option.theta(),
Rcpp::Named("rho") = option.rho(),
Rcpp::Named("divRho") = option.dividendRho(),
Rcpp::Named("parameters") = optionParameters);
} else if (avgType=="arithmetic"){
averageType = QuantLib::Average::Arithmetic;
boost::shared_ptr<QuantLib::PricingEngine> engine =
QuantLib::MakeMCDiscreteArithmeticAPEngine<QuantLib::LowDiscrepancy>(stochProcess)
.withSamples(2047)
.withControlVariate();
//boost::shared_ptr<PricingEngine> engine =
// MakeMCDiscreteArithmeticASEngine<LowDiscrepancy>(stochProcess)
// .withSeed(3456789)
// .withSamples(1023);
QuantLib::Size fixings = Rcpp::as<double>(rparam["fixings"]);
QuantLib::Time length = Rcpp::as<double>(rparam["length"]);
QuantLib::Time first = Rcpp::as<double>(rparam["first"]);
QuantLib::Time dt = length / (fixings - 1);
std::vector<QuantLib::Time> timeIncrements(fixings);
std::vector<QuantLib::Date> fixingDates(fixings);
timeIncrements[0] = first;
fixingDates[0] = today + QuantLib::Integer(timeIncrements[0] * 360 + 0.5);
for (QuantLib::Size i=1; i<fixings; i++) {
timeIncrements[i] = i*dt + first;
fixingDates[i] = today + QuantLib::Integer(timeIncrements[i]*360+0.5);
}
QuantLib::Real runningSum = 0.0;
QuantLib::Size pastFixing = 0;
boost::shared_ptr<QuantLib::Exercise>
exercise(new QuantLib::EuropeanExercise(fixingDates[fixings-1]));
QuantLib::DiscreteAveragingAsianOption option(QuantLib::Average::Arithmetic,
runningSum,
pastFixing,
fixingDates,
payoff,
exercise);
option.setPricingEngine(engine);
rl = Rcpp::List::create(Rcpp::Named("value") = option.NPV(),
Rcpp::Named("delta") = R_NaN,
Rcpp::Named("gamma") = R_NaN,
Rcpp::Named("vega") = R_NaN,
Rcpp::Named("theta") = R_NaN,
Rcpp::Named("rho") = R_NaN,
Rcpp::Named("divRho") = R_NaN,
Rcpp::Named("parameters") = optionParameters);
} else {
throw std::range_error("Unknown average type " + type);
}
return rl;
} catch(std::exception &ex) {
forward_exception_to_r(ex);
} catch(...) {
::Rf_error("c++ exception (unknown reason)");
}
return R_NilValue;
}
