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
Local correlation families