Valuation of Annuity Guarantees Under a Self-Exciting Switching Jump Model

Methodology and Computing in Applied Probability - This article investigates the valuation of annuity guarantees under a regime-switching model when the dynamics of the underlying stock price...     

Residual division,primary decomposition and filtrations. application to dedekind domains

We study the properties of the filtrations which define an adic topology on a ring. As an application, we give a characterization of Zariski rings. Also, we compute filtrations on Dedekind domains and we show that a strongly EP filtration is adic, modulo a finite number of terms.     

Target Self-Enhanced Selectivity in Metal-Specific DNAzymes

Highly selective recognition of metal ions by rational ligand design is challenging, and simple metal binding by biological ligands is often obscured by nonspecific interactions. In this work, binding-triggered catalysis is used and metal selectivity is greatly increased by increasing the number of metal ions involved, as exemplified in a series of in vitro selected RNA-cleaving DNAzymes. The cleavage junction is modified with a glycyl–histidine-functionalized tertiary amine moiety to provide multiple potential metal coordination sites. DNAzymes that bind 1, 2, and 3 Zn²⁺ ions, increased their selectivity for Zn²⁺ over Co²⁺ ions from approximately 20-, 1000-, to 5000-fold, respectively. This study offers important insights into metal recognition by combining rational ligand design and combinatorial selection, and it provides a set of new DNAzymes with excellent selectivity for Zn²⁺ ions.     

Mortality modelling with Lévy processes

This paper addresses the modelling of human mortality by the aid of doubly stochastic processes with an intensity driven by a positive Lévy process. We focus on intensities having a mean reverting stochastic component. Furthermore, driving Lévy processes are pure jump processes belonging to the class of α-stable subordinators. In this setting, expressions of survival probabilities are inferred, the pricing is discussed and numerical applications to actuarial valuations are proposed.