Local and global quadratic hedging are alternatives to delta hedging that more appropriately address the hedging problem in incomplete markets. The objective of this article is to investigate and contrast the effectiveness of these strategies under GARCH models, both experimentally and...

A new parametric representation of implied volatility surfaces is proposed. The factors adequately capture the moneyness and maturity slopes, the smile attenuation, and the smirk. Furthermore, the implied volatility specification is twice continuously differentiable and well behaved...

A closed-form solution is obtained for the discrete-time global quadratic hedging problem of Schweizer (1995) applied to vanilla European options under the geometric Gaussian random walk model for the underlying asset. The computation of coefficients embedded in the closed-form expression can be...

The paper outlines Monte-Carlo simulation procedures for the pricing of swaptions under the discrete-time arbitrage-free Nelson-Siegel (DTAFNS) model of Eghbalzadeh et al. (2022). In particular, the forward measure dynamics of term structure factors are derived, leading to a semi-analytic...

The objective is to study the use of non-translation invariant risk measures within the equal risk pricing (ERP) methodology for the valuation of financial derivatives. The ability to move beyond the class of convex risk measures considered in several prior studies provides more flexibility...

The current paper provides a general approach to construct distortion operators that can price financial and insurance risks. Our approach generalizes the Wang (2000) transform and recovers multiple distortions proposed in the literature as particular cases. This approach enables designing...

The recent work of Godin et al. (2019) on derivatives pricing under regime-switching frameworks highlights that traditional pricing methods produce path-dependent prices for vanilla options when regimes are latent. Since such a feature is deemed inconvenient, the latter paper provides the...