This article estimates stochastic volatility jump-diffusion processes using the continuous empirical characteristic function method based on the Joint characteristic function and the Marginal characteristic function. The emphasis is on the specification of jumps in the asset log-price. Out of...

Crude oil prices have been on a run-up spree in recent years. Their dynamics were characterized by high volatility, high intensity jumps, and strong upward drift, indicating that oil markets were constantly out-of-equilibrium. An explanation of the oil price process in terms of the underlying...

Compound options are not only sensitive to future movements of the underlying asset price, but also to future changes in volatility levels. Because the Black–Scholes analytical valuation formula for compound options is not able to incorporate the sensitivity to volatility, the aim of this...

Given a process with independent increments X (not necessarily a martingale) and a large class of square integrable r.v. H = f(X T ), f being the Fourier transform of a finite measure μ, we provide a direct expression for Kunita-Watanabe and Föllmer-Schweizer decompositions of H. The...

One approach to oil markets is to treat oil as an asset, besides its role as a commodity. Speculative and nonspeculative activity by investors in the derivatives markets could be responsible for a sizable increase in oil prices. This paper recognizes both the consumption and investment aspects...

This article proposes an estimation procedure for the affine stochastic volatility models with jumps both in the asset price and variance processes. The estimation procedure is based on the joint (here bi-variate) unconditional characteristic function for the stochastic process for which we...

We appreciate the thorough review and very useful comments of Cheng, Ibraimi, Leippold, and Zhang. The suggestions have helped significantly to improve our original approximation formula and lead us to provide an exact solution under the Lin and Chang (2010) framework and we thank the editor to...