This paper studies the performance of Heston Model and Black-Scholes Model in pricing index options. I have compared the two models based on 1074 call option prices of S&P 500 on 1st November, 2016. I have calibrated the parameters of the Heston Model by non-linear least square optimization...

In recent years fractionally differenced processes have received a great deal of attention due to their flexibility in financial applications with long memory. In this paper, we develop a new realized stochastic volatility (RSV) model with general Gegenbauer long memory (GGLM), which...

Background: This study develops a new model called J-am for pricing American options and for determining the related early exercise boundary (EEB). This model is based on a closed-form solution J-formula for pricing European options, defined in the study by Jerbi (Quantitative Finance,...

Background: This study develops a new model called J-am for pricing American options and for determining the related early exercise boundary (EEB). This model is based on a closed-form solution J-formula for pricing European options, defined in the study by Jerbi (Quantitative Finance,...

In recent years fractionally differenced processes have received a great deal of attention due to its flexibility in financial applications with long memory. This paper considers a class of models generated by Gegenbauer polynomials, incorporating the long memory in stochastic volatility (SV)...