Unifying pricing formula for several stochastic volatility models with jumps

In this paper, we introduce a unifying approach to option pricing under continuous‐time stochastic volatility models with jumps. For European style options, a new semi‐closed pricing formula is derived using the generalized complex Fourier transform of the corresponding partial integro‐differential equation. This approach is successfully applied to models with different volatility diffusion and jump processes. We also discuss how to price options with different payoff functions in a similar way. In particular, we focus on a log‐normal and a log‐uniform jump diffusion stochastic volatility model, originally introduced by Bates and Yan and Hanson, respectively. The comparison of existing and newly proposed option pricing formulas with respect to time efficiency and precision is discussed. We also derive a representation of an option price under a new approximative fractional jump diffusion model that differs from the aforementioned models, especially for the out‐of‐the money contracts. Copyright © 2017 John Wiley & Sons, Ltd.     

Charaktere endlicher Gruppen mit vorgegebenen Schurschen Indizes

Ohne Zusammenfassung     

Evidence for molecular reorientations on a surface: Coadsorption of CO and Na on Ru(001)

Evidence is presented for a local interaction between CO and Na adsorbed on Ru(001). For low coverages of Na (θ_Na ? 0.15 ML) and saturation coverages of CO at 80 K. a fraction of the CO molecules undergo a substantial change in bonding configuration: molecular CO bound perpendicular to the Ru(001) surface changes to an “inclined” configuration in the presence of low coverages of Na.     

Die Umkehrung des Satzes von Brauer-Berman-Witt über induzierte Charaktere endlicher Gruppen

Ohne Zusammenfassung     

The “tilt” effect in the absorption of ultra-sound by metals in a low magnetic field

The “tilt” effect in the electron-phonon interaction has been discovered experimentally in metals placed in a low magnetic field, such that the cyclotron radius of conduction electrons is larger than the sound wavelength.     

Kinetics of dark excitons and excitonic trions in InGaAs single quantum well

Magnetooptical studies performed on a wide InGaAs/GaAs single quantum well indicate that optically non-active (dark) excitons with total angular momentum play the role of a reservoir for the creation of free multiparticle excitonic complexes. After analyzing the magnetic field evolution of the circularly polarized components of the low energy structure appearing in the main excitonic luminescence line we assign this feature to the excitonic trion formation. The binding energy of the excitonic trions was estimated to be of the order of 1 meV. Received: 29 October 1997 / Received in final form: 20 February 1998 / Accepted: 21 February 1998