// [[Rcpp::export]]
Rcpp::List europeanOptionArraysEngine(std::string type, Rcpp::NumericMatrix par) {
QuantLib::Option::Type optionType = getOptionType(type);
int n = par.nrow();
Rcpp::NumericVector value(n), delta(n), gamma(n), vega(n), theta(n), rho(n), divrho(n);
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
QuantLib::DayCounter dc = QuantLib::Actual360();
for (int i=0; i<n; i++) {
double underlying = par(i, 0); // first column
double strike = par(i, 1); // second column
QuantLib::Spread dividendYield = par(i, 2); // third column
QuantLib::Rate riskFreeRate = par(i, 3); // fourth column
QuantLib::Time maturity = par(i, 4); // fifth column
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
boost::posix_time::time_duration length = boost::posix_time::minutes(boost::uint64_t(maturity * 360 * 24 * 60));
#else
int length = int(maturity*360 + 0.5); // FIXME: this could be better
#endif
double volatility = par(i, 5); // sixth column
boost::shared_ptr<QuantLib::SimpleQuote> spot(new QuantLib::SimpleQuote( underlying ));
boost::shared_ptr<QuantLib::SimpleQuote> vol(new QuantLib::SimpleQuote( volatility ));
boost::shared_ptr<QuantLib::BlackVolTermStructure> volTS = flatVol(today, vol, dc);
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);
#ifdef QL_HIGH_RESOLUTION_DATE
QuantLib::Date exDate(today.dateTime() + length);
#else
QuantLib::Date exDate = today + length;
#endif
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::EuropeanExercise(exDate));
boost::shared_ptr<QuantLib::StrikedTypePayoff> payoff(new QuantLib::PlainVanillaPayoff(optionType, strike));
boost::shared_ptr<QuantLib::VanillaOption> option = makeOption(payoff, exercise, spot, qTS, rTS, volTS);
value[i] = option->NPV();
delta[i] = option->delta();
gamma[i] = option->gamma();
vega[i] = option->vega();
theta[i] = option->theta();
rho[i] = option->rho();
divrho[i] = option->dividendRho();
}
return Rcpp::List::create(Rcpp::Named("value") = value,
Rcpp::Named("delta") = delta,
Rcpp::Named("gamma") = gamma,
Rcpp::Named("vega") = vega,
Rcpp::Named("theta") = theta,
Rcpp::Named("rho") = rho,
Rcpp::Named("divRho") = divrho);
}
// dumped core when we tried last
// no longer under 0.3.10 and g++ 4.0.1 (Aug 2005)
// [[Rcpp::export]]
double binaryOptionImpliedVolatilityEngine(std::string type,
double value,
double underlying,
double strike,
double dividendYield,
double riskFreeRate,
double maturity,
double volatility,
double cashPayoff) {
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
boost::posix_time::time_duration length = boost::posix_time::minutes(maturity * 360 * 24 * 60);
#else
int length = int(maturity*360 + 0.5); // FIXME: this could be better
#endif
QuantLib::Option::Type optionType = getOptionType(type);
// updated again for QuantLib 0.9.0,
// cf QuantLib-0.9.0/test-suite/digitaloption.cpp
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
QuantLib::DayCounter dc = QuantLib::Actual360();
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::StrikedTypePayoff>
payoff(new QuantLib::CashOrNothingPayoff(optionType, strike, cashPayoff));
#ifdef QL_HIGH_RESOLUTION_DATE
QuantLib::Date exDate(today.dateTime() + length);
#else
QuantLib::Date exDate = today + length;
#endif
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::EuropeanExercise(exDate));
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<PricingEngine> engine(new AnalyticEuropeanEngine(stochProcess));
boost::shared_ptr<QuantLib::PricingEngine> engine(new QuantLib::AnalyticBarrierEngine(stochProcess));
QuantLib::VanillaOption opt(payoff, exercise);
opt.setPricingEngine(engine);
return opt.impliedVolatility(value, stochProcess);
}
// [[Rcpp::export]]
Rcpp::List binaryOptionEngine(std::string binType,
std::string type,
std::string excType,
double underlying,
double strike,
double dividendYield,
double riskFreeRate,
double maturity,
double volatility,
double cashPayoff) {
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
boost::posix_time::time_duration length = boost::posix_time::minutes(maturity * 360 * 24 * 60);
#else
int length = int(maturity*360 + 0.5); // FIXME: this could be better, but same rounding in QL
#endif
QuantLib::Option::Type optionType = getOptionType(type);
// new QuantLib 0.3.5 framework: digitals, updated for 0.3.7
// updated again for QuantLib 0.9.0,
// cf QuantLib-0.9.0/test-suite/digitaloption.cpp
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
QuantLib::DayCounter dc = QuantLib::Actual360();
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::StrikedTypePayoff> payoff;
if (binType=="cash") {
boost::shared_ptr<QuantLib::StrikedTypePayoff> con(new QuantLib::CashOrNothingPayoff(optionType, strike, cashPayoff));
payoff = con;
} else if (binType=="asset") {
boost::shared_ptr<QuantLib::StrikedTypePayoff> aon(new QuantLib::AssetOrNothingPayoff(optionType, strike));
payoff = aon;
} else if (binType=="gap") {
boost::shared_ptr<QuantLib::StrikedTypePayoff> gap(new QuantLib::GapPayoff(optionType, strike, cashPayoff));
payoff = gap;
} else {
throw std::range_error("Unknown binary option type " + binType);
}
#ifdef QL_HIGH_RESOLUTION_DATE
QuantLib::Date exDate(today.dateTime() + length);
#else
QuantLib::Date exDate = today + length;
#endif
boost::shared_ptr<QuantLib::Exercise> exercise;
if (excType=="american") {
boost::shared_ptr<QuantLib::Exercise> amEx(new QuantLib::AmericanExercise(today, exDate));
exercise = amEx;
} else if (excType=="european") {
boost::shared_ptr<QuantLib::Exercise> euEx(new QuantLib::EuropeanExercise(exDate));
exercise = euEx;
} else {
throw std::range_error("Unknown binary exercise type " + excType);
}
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::PricingEngine> engine;
if (excType=="american") {
boost::shared_ptr<QuantLib::PricingEngine> amEng(new QuantLib::AnalyticDigitalAmericanEngine(stochProcess));
engine = amEng;
} else if (excType=="european") {
boost::shared_ptr<QuantLib::PricingEngine> euEng(new QuantLib::AnalyticEuropeanEngine(stochProcess));
engine = euEng;
} else {
throw std::range_error("Unknown binary exercise type " + excType);
}
QuantLib::VanillaOption opt(payoff, exercise);
opt.setPricingEngine(engine);
Rcpp::List rl = Rcpp::List::create(Rcpp::Named("value") = opt.NPV(),
Rcpp::Named("delta") = opt.delta(),
Rcpp::Named("gamma") = opt.gamma(),
Rcpp::Named("vega") = (excType=="european") ? opt.vega() : R_NaN,
Rcpp::Named("theta") = (excType=="european") ? opt.theta() : R_NaN,
Rcpp::Named("rho") = (excType=="european") ? opt.rho() : R_NaN,
Rcpp::Named("divRho") = (excType=="european") ? opt.dividendRho() : R_NaN);
return rl;
}
// [[Rcpp::export]]
Rcpp::List barrierOptionEngine(std::string barrType,
std::string type,
double underlying,
double strike,
double dividendYield,
double riskFreeRate,
double maturity,
double volatility,
double barrier,
double rebate) {
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
boost::posix_time::time_duration length = boost::posix_time::minutes(maturity * 360 * 24 * 60);
#else
int length = int(maturity*360 + 0.5); // FIXME: this could be better
#endif
QuantLib::Barrier::Type barrierType = QuantLib::Barrier::DownIn;
if (barrType=="downin") {
barrierType = QuantLib::Barrier::DownIn;
} else if (barrType=="upin") {
barrierType = QuantLib::Barrier::UpIn;
} else if (barrType=="downout") {
barrierType = QuantLib::Barrier::DownOut;
} else if (barrType=="upout") {
barrierType = QuantLib::Barrier::UpOut;
} else {
throw std::range_error("Unknown barrier type " + type);
}
QuantLib::Option::Type optionType = getOptionType(type);
// new QuantLib 0.3.5 framework, updated for 0.3.7
// updated again for QuantLib 0.9.0,
// cf QuantLib-0.9.0/test-suite/barrieroption.cpp
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
QuantLib::DayCounter dc = QuantLib::Actual360();
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);
#ifdef QL_HIGH_RESOLUTION_DATE
QuantLib::Date exDate(today.dateTime() + length);
#else
QuantLib::Date exDate = today + length;
#endif
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::EuropeanExercise(exDate));
boost::shared_ptr<QuantLib::StrikedTypePayoff> payoff(new QuantLib::PlainVanillaPayoff(optionType, strike));
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)));
// Size timeSteps = 1;
// bool antitheticVariate = false;
// bool controlVariate = false;
// Size requiredSamples = 10000;
// double requiredTolerance = 0.02;
// Size maxSamples = 1000000;
// bool isBiased = false;
boost::shared_ptr<QuantLib::PricingEngine> engine(new QuantLib::AnalyticBarrierEngine(stochProcess));
// need to explicitly reference BarrierOption from QuantLib here
QuantLib::BarrierOption barrierOption(barrierType,
barrier,
rebate,
payoff,
exercise);
barrierOption.setPricingEngine(engine);
Rcpp::List rl = Rcpp::List::create(Rcpp::Named("value") = barrierOption.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;
}
// [[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;
}
// [[Rcpp::export]]
Rcpp::List europeanOptionEngine(std::string type,
double underlying,
double strike,
double dividendYield,
double riskFreeRate,
double maturity,
double volatility,
Rcpp::Nullable<Rcpp::NumericVector> discreteDividends,
Rcpp::Nullable<Rcpp::NumericVector> discreteDividendsTimeUntil) {
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
boost::posix_time::time_duration length = boost::posix_time::minutes(boost::uint64_t(maturity * 360 * 24 * 60));
#else
int length = int(maturity*360 + 0.5); // FIXME: this could be better
#endif
QuantLib::Option::Type optionType = getOptionType(type);
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
// new framework as per QuantLib 0.3.5
QuantLib::DayCounter dc = QuantLib::Actual360();
boost::shared_ptr<QuantLib::SimpleQuote> spot(new QuantLib::SimpleQuote( underlying ));
boost::shared_ptr<QuantLib::SimpleQuote> vol(new QuantLib::SimpleQuote( volatility ));
boost::shared_ptr<QuantLib::BlackVolTermStructure> volTS = flatVol(today, vol, dc);
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);
bool withDividends = discreteDividends.isNotNull() && discreteDividendsTimeUntil.isNotNull();
#ifdef QL_HIGH_RESOLUTION_DATE
QuantLib::Date exDate(today.dateTime() + length);
#else
QuantLib::Date exDate = today + length;
#endif
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::EuropeanExercise(exDate));
boost::shared_ptr<QuantLib::StrikedTypePayoff> payoff(new QuantLib::PlainVanillaPayoff(optionType, strike));
if (withDividends) {
Rcpp::NumericVector divvalues(discreteDividends), divtimes(discreteDividendsTimeUntil);
int n = divvalues.size();
std::vector<QuantLib::Date> discDivDates(n);
std::vector<double> discDividends(n);
for (int i = 0; i < n; i++) {
#ifdef QL_HIGH_RESOLUTION_DATE
boost::posix_time::time_duration discreteDividendLength = boost::posix_time::minutes(boost::uint64_t(divtimes[i] * 360 * 24 * 60));
discDivDates[i] = QuantLib::Date(today.dateTime() + discreteDividendLength);
#else
discDivDates[i] = today + int(divtimes[i] * 360 + 0.5);
#endif
discDividends[i] = divvalues[i];
}
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::PricingEngine> engine(new QuantLib::AnalyticDividendEuropeanEngine(stochProcess));
QuantLib::DividendVanillaOption option(payoff, exercise, discDivDates, discDividends);
option.setPricingEngine(engine);
return 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") = R_NaReal);
}
else {
boost::shared_ptr<QuantLib::VanillaOption> option = makeOption(payoff, exercise, spot, qTS, rTS, volTS);
return 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::export]]
Rcpp::List americanOptionEngine(std::string type,
double underlying,
double strike,
double dividendYield,
double riskFreeRate,
double maturity,
double volatility,
int timeSteps,
int gridPoints,
std::string engine,
Rcpp::Nullable<Rcpp::NumericVector> discreteDividends,
Rcpp::Nullable<Rcpp::NumericVector> discreteDividendsTimeUntil) {
#ifdef QL_HIGH_RESOLUTION_DATE
// in minutes
boost::posix_time::time_duration length = boost::posix_time::minutes(boost::uint64_t(maturity * 360 * 24 * 60));
#else
int length = int(maturity * 360 + 0.5); // FIXME: this could be better
#endif
QuantLib::Option::Type optionType = getOptionType(type);
// new framework as per QuantLib 0.3.5, updated for 0.3.7
// updated again for 0.9.0, see eg test-suite/americanoption.cpp
QuantLib::Date today = QuantLib::Date::todaysDate();
QuantLib::Settings::instance().evaluationDate() = today;
QuantLib::DayCounter dc = QuantLib::Actual360();
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);
bool withDividends = discreteDividends.isNotNull() && discreteDividendsTimeUntil.isNotNull();
#ifdef QL_HIGH_RESOLUTION_DATE
QuantLib::Date exDate(today.dateTime() + length);
#else
QuantLib::Date exDate = today + length;
#endif
boost::shared_ptr<QuantLib::StrikedTypePayoff> payoff(new QuantLib::PlainVanillaPayoff(optionType, strike));
boost::shared_ptr<QuantLib::Exercise> exercise(new QuantLib::AmericanExercise(today, exDate));
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)));
if (withDividends) {
Rcpp::NumericVector divvalues(discreteDividends), divtimes(discreteDividendsTimeUntil);
int n = divvalues.size();
std::vector<QuantLib::Date> discDivDates(n);
std::vector<double> discDividends(n);
for (int i = 0; i < n; i++) {
#ifdef QL_HIGH_RESOLUTION_DATE
boost::posix_time::time_duration discreteDividendLength = boost::posix_time::minutes(boost::uint64_t(divtimes[i] * 360 * 24 * 60));
discDivDates[i] = QuantLib::Date(today.dateTime() + discreteDividendLength);
#else
discDivDates[i] = today + int(divtimes[i] * 360 + 0.5);
#endif
discDividends[i] = divvalues[i];
}
QuantLib::DividendVanillaOption option(payoff, exercise, discDivDates, discDividends);
if (engine=="BaroneAdesiWhaley") {
Rcpp::warning("Discrete dividends, engine switched to CrankNicolson");
engine = "CrankNicolson";
}
if (engine=="CrankNicolson") { // FDDividendAmericanEngine only works with CrankNicolson
// suggestion by Bryan Lewis: use CrankNicolson for greeks
boost::shared_ptr<QuantLib::PricingEngine>
fdcnengine(new QuantLib::FDDividendAmericanEngine<QuantLib::CrankNicolson>(stochProcess, timeSteps, gridPoints));
option.setPricingEngine(fdcnengine);
return Rcpp::List::create(Rcpp::Named("value") = option.NPV(),
Rcpp::Named("delta") = option.delta(),
Rcpp::Named("gamma") = option.gamma(),
Rcpp::Named("vega") = R_NaReal,
Rcpp::Named("theta") = R_NaReal,
Rcpp::Named("rho") = R_NaReal,
Rcpp::Named("divRho") = R_NaReal);
} else {
throw std::range_error("Unknown engine " + engine);
}
} else {
QuantLib::VanillaOption option(payoff, exercise);
if (engine=="BaroneAdesiWhaley") {
// new from 0.3.7 BaroneAdesiWhaley
boost::shared_ptr<QuantLib::PricingEngine> engine(new QuantLib::BaroneAdesiWhaleyApproximationEngine(stochProcess));
option.setPricingEngine(engine);
return 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);
} else if (engine=="CrankNicolson") {
// suggestion by Bryan Lewis: use CrankNicolson for greeks
boost::shared_ptr<QuantLib::PricingEngine>
fdcnengine(new QuantLib::FDAmericanEngine<QuantLib::CrankNicolson>(stochProcess, timeSteps, gridPoints));
option.setPricingEngine(fdcnengine);
return Rcpp::List::create(Rcpp::Named("value") = option.NPV(),
Rcpp::Named("delta") = option.delta(),
Rcpp::Named("gamma") = option.gamma(),
Rcpp::Named("vega") = R_NaReal,
Rcpp::Named("theta") = R_NaReal,
Rcpp::Named("rho") = R_NaReal,
Rcpp::Named("divRho") = R_NaReal);
} else {
throw std::range_error("Unknown engine " + engine);
}
}
}