/* nag_specfun_opt_heston_price (s30nac) Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
*
* Mark 30.0, 2024.
*/
#include <math.h>
#include <nag.h>
#include <stdio.h>
#include <string.h>
int main(void) {
/* Integer scalar and array declarations */
Integer exit_status = 0;
Integer i, j, m, n;
NagError fail;
Nag_CallPut putnum;
/* Double scalar and array declarations */
double corr, eta, gamma, kappa, q, r, s, sigmav, var0;
double *p = 0, *t = 0, *x = 0;
/* Character scalar and array declarations */
char put[8 + 1];
Nag_OrderType order;
INIT_FAIL(fail);
printf("nag_specfun_opt_heston_price (s30nac) Example Program Results\n");
printf("Heston's Stochastic volatility Model\n\n");
/* Skip heading in data file */
scanf("%*[^\n] ");
/* Read put */
scanf("%8s%*[^\n] ", put);
/*
* nag_enum_name_to_value (x04nac).
* Converts NAG enum member name to value
*/
putnum = (Nag_CallPut)nag_enum_name_to_value(put);
/* Read s, r, q */
scanf("%lf%lf%lf%*[^\n] ", &s, &r, &q);
/* Read kappa,eta,var0,sigmav,corr,gamma */
scanf("%lf%lf%lf%lf%lf%lf%*[^\n] ", &kappa, &eta, &var0, &sigmav, &corr,
&gamma);
/* Read m, n */
scanf("%" NAG_IFMT "%" NAG_IFMT "%*[^\n] ", &m, &n);
#ifdef NAG_COLUMN_MAJOR
#define P(I, J) p[(J - 1) * m + I - 1]
order = Nag_ColMajor;
#else
#define P(I, J) p[(I - 1) * n + J - 1]
order = Nag_RowMajor;
#endif
if (!(p = NAG_ALLOC(m * n, double)) || !(t = NAG_ALLOC(n, double)) ||
!(x = NAG_ALLOC(m, double))) {
printf("Allocation failure\n");
exit_status = -1;
goto END;
}
/* Read array of strike/exercise prices, X */
for (i = 0; i < m; i++)
scanf("%lf ", &x[i]);
scanf("%*[^\n] ");
for (i = 0; i < n; i++)
scanf("%lf ", &t[i]);
scanf("%*[^\n] ");
/*
* nag_specfun_opt_heston_price (s30nac)
* Heston's model option pricing formula
*/
nag_specfun_opt_heston_price(order, putnum, m, n, x, s, t, sigmav, kappa,
corr, var0, eta, gamma, r, q, p, &fail);
if (fail.code != NE_NOERROR) {
printf("Error from nag_specfun_opt_heston_price (s30nac).\n%s\n",
fail.message);
exit_status = 1;
goto END;
}
if (putnum == Nag_Call)
printf("%s\n\n", "European Call :");
else if (putnum == Nag_Put)
printf("%s\n\n", "European Put :");
printf("%s%8.4f\n", " Spot = ", s);
printf("%s%8.4f\n", " Volatility of vol = ", sigmav);
printf("%s%8.4f\n", " Mean reversion = ", kappa);
printf("%s%8.4f\n", " Correlation = ", corr);
printf("%s%8.4f\n", " Variance = ", var0);
printf("%s%8.4f\n", " Mean of variance = ", eta);
printf("%s%8.4f\n", " Risk aversion = ", gamma);
printf("%s%8.4f\n", " Rate = ", r);
printf("%s%8.4f\n", " Dividend = ", q);
printf("\n");
printf("%s\n", " Strike Expiry Option Price");
for (i = 1; i <= m; i++)
for (j = 1; j <= n; j++)
printf("%9.4f %9.4f %11.4f\n", x[i - 1], t[j - 1], P(i, j));
END:
NAG_FREE(p);
NAG_FREE(t);
NAG_FREE(x);
return exit_status;
}