MCEuropeanEngine - 2023.2 English

#include "xf_fintech/mc_engine.hpp"

template <
    typename DT = double,
    int UN = 10,
    bool Antithetic = false
    >
void MCEuropeanEngine (
    DT underlying,
    DT volatility,
    DT dividendYield,
    DT riskFreeRate,
    DT timeLength,
    DT strike,
    bool optionType,
    ap_uint <32>* seed,
    DT* output,
    DT requiredTolerance = 0.02,
    unsigned int requiredSamples = 1024,
    unsigned int timeSteps = 100,
    unsigned int maxSamples = 134217727
    )

European Option Pricing Engine using Monte Carlo Method. This implementation uses Black-Scholes valuation model.

Parameters:

DT	supported data type including double and float data type, which decides the precision of result, default double-precision data type.
UN	number of Monte Carlo Module in parallel, which affects the latency and resources utilization, default 10.
Antithetic	antithetic is used for variance reduction, default this feature is disabled.
underlying	intial value of underlying asset at time 0.
volatility	fixed volatility of underlying asset.
dividendYield	the constant dividend rate for continuous dividends.
riskFreeRate	risk-free interest rate.
timeLength	the time length of contract from start to end.
strike	the strike price also known as exericse price, which is settled in the contract.
optionType	option type. 1: put option, 0: call option.
seed	array to store the inital seed for each RNG.
output	output array.
requiredTolerance	the tolerance required. If requiredSamples is not set, when reaching the required tolerance, simulation will stop, default 0.02.
requiredSamples	the samples number required. When reaching the required number, simulation will stop, default 1024.
timeSteps	the number of discrete steps from 0 to T, T is the expiry time, default 100.
maxSamples	the maximum sample number. When reaching it, the simulation will stop, default 2,147,483,648.