Purpose – Option pricing based on Black-Scholes model is typically obtained under the assumption that the volatility of the return is a constant. The purpose of this paper is to develop a new method for pricing derivatives under the jump diffusion model with random volatility by viewing the...

Purpose – To study stochastic volatility in the pricing of options. Design/methodology/approach – Random-coefficient autoregressive and generalized autoregressive conditional heteroscedastic models are studied. The option-pricing formula is viewed as a moment of a truncated normal...

Purpose – The purpose of this research is to introduce a class of FRC (fuzzy random coefficient) volatility models and to study their moment properties. Fuzzy option values and the superiority of fuzzy forecasts over minimum mean-square forecasts are also discussed in some detail....

Purpose – Financial returns are often modeled as stationary time series with innovations having heteroscedastic conditional variances. This paper seeks to derive the kurtosis of stationary processes with GARCH errors. The problem of hypothesis testing for stationary ARMA(p, q) processes with...

Purpose – Option pricing based on Black-Scholes model is typically obtained under the assumption that the volatility of the return is a constant. The purpose of this paper is to develop a new method for pricing derivatives under the jump diffusion model with random volatility by viewing the...