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| -rw-r--r-- | src/opti.cpp | 65 |
1 files changed, 65 insertions, 0 deletions
diff --git a/src/opti.cpp b/src/opti.cpp new file mode 100644 index 0000000..1b5df1d --- /dev/null +++ b/src/opti.cpp @@ -0,0 +1,65 @@ +#include <vector> +#include <nlopt.hpp> +#include <cmath> +#include <algorithm> +#include <iostream> + +double pos (double x){ + return x>0?x:0; +}; + +double f (const std::vector<double> &X, std::vector<double> &grad, void *params) { + int d = X.size(); + double *p =(double *)params; + double r=p[0] ; double T=p[1]; double S0=p[2]; + double V=p[3]; double K=p[4]; + double norm = 0; + for(int i=0; i<d; i++){ + norm+=X[i]*X[i]; + } + std::vector<double> S(d); + S[0]= S0*exp((r-V*V/2)*(T/d)+V*sqrt(T/d)*X[0]); + for(int i=1;i<d;i++){ + S[i]=S[i-1]*exp((r-V*V/2)*(T/d)+V*sqrt(T/d)*X[i]); + } + double temp = std::accumulate(S.begin(), S.end(), 0.)/d; + double value = exp(-r*T)*pos(temp-K); + return log(value) - 0.5*norm; +}; + + + + +int main() { + + double params[5] = {0.05, 1, 50, 0.1, 45}; + + nlopt::opt opt(nlopt::LN_COBYLA, 16); + + opt.set_max_objective(f, ¶ms); + + opt.set_xtol_rel(1e-4); + + std::vector<double> x(16,0); + std::vector<double> g(); + + + std::cout<<"valeur au début"<<f(x, g, ¶ms)<<std::endl; + + double maxf; + nlopt::result result = opt.optimize(x, maxf); + for(int i=0; i<16; i++){ + std::cout<<x[i]<<std::endl; + } + std::cout<<"valeur à la fin"<<maxf<<std::endl; + + return 0; +} + + + + + + + + |
