In this paper the authors provide a comprehensive treatment of the discretization effect under general stochastic volatility dynamics.
This issue of The Journal of Computational Finance contains four papers that are quite different in terms of their financial applications, and they stand out because of their remarkable mathematical techniques.
Accelerated trinomial trees applied to American basket options and American options under the Bates model
This paper introduces accelerated trinomial trees, a novel efficient lattice method for the numerical pricing of derivative securities.
In this paper the use of B-splines is advocated for volatility modeling within the calibration of stochastic local volatility (SLV) models and for the parameterization of an arbitrage-free implied volatility surface calibrated to sparse option data.
Lorenzo Ravagli shows how to exploit a risk premium embedded in the vol of vol in out-of-the-money options
In this issue of The Journal of Computational Finance, we encounter different contemporary approximations and techniques for financial problems.
By means of B-spline interpolation, this paper provides an accurate closed-form representation of the option price under an inverse Fourier transform.
Marzio Sala and Vincent Thiery show the derivation of the continuous adjoint problem for PDEs
Stochastic volatility model combining Heston vol model and CIR++
The stochastic-volatility, jump-diffusion optimal portfolio problem with jumps in returns and volatility
The risk-averse optimal portfolio problem is treated with consumption in continuous time for a stochastic jump-volatility-jump-diffusion (SJVJD) model for both the risky asset and the volatility.
Julien Guyon on path-dependent volatility models