Wick-Ito stochastic differential equation;
affine models;
fractional Cox-Ingersoll-Ross model;
interest rate;
bond price;
fractional Heston model;
stochastic volatility;
Monte Carlo method;
LONG-RANGE DEPENDENCE;
LIMIT-THEOREMS;
TERM STRUCTURE;
MEMORY;
DISTRIBUTIONS;
OPTION;
D O I:
10.3233/AF-220467
中图分类号:
F8 [财政、金融];
学科分类号:
0202 ;
摘要:
We obtain the bond price formula for the fractional Cox-Ingersoll-Ross model. Then we obtain option price formula for the bond. Finally we apply it to derive option price formula in fractional Heston model.
机构:
Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, MoscowFaculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow
机构:
Cent South Univ, Dept Math & Stat, Changsha 410075, Hunan, Peoples R China
Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Dept Math & Stat, Changsha 410075, Hunan, Peoples R China