int NewtonRaphson_put(double S, double X, double T, double r, double cm, double *piv)
{
double vi, ci, vegai;
assert_valid_price(S);
assert_valid_strike(X);
assert_valid_time(T);
assert_valid_interest_rate(r);
/* Compute the Manaster and Koehler seed value (vi) */
vi = sqrt(fabs(log(S/X) + r * T) * 2.0/T);
ci = gbs_put(S, X, T, r, r, vi);
vegai = vega(S, X, T, r, r, vi);
while(fabs(cm - ci) > epsilon) {
vi -= (ci - cm)/vegai;
if(vi < VOLATILITY_MIN || vi > VOLATILITY_MAX)
return 0;
ci = gbs_put(S, X, T, r, r, vi);
vegai = vega(S, X, T, r, r, vi);
}
*piv = vi;
return 1;
}
double bsmodel_4_vr::d(int pno, const double params[]) {
if (pno == 0) return(vega(params));
else if (pno == 1) return(rho(params));
else if (pno == 2) return(da(params));
else if (pno == 3) return(db(params));
else return(0.0);
}
// [[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);
}
