Multivariate random sums appear in many scientific fields, most notably in actuarial science, where they model both the number of claims and their sizes. Unfortunately, they pose severe inferential problems. For example, their density function is analytically intractable, in the general case,...

This paper presents a new stochastic multidimensional scaling vector threshold model designed to analyze “pick any/n” choice data (e.g., consumers rendering buy/no buy decisions concerning a number of actual products). A maximum likelihood procedure is formulated to estimate a joint space of...

We provide a procedure to identify the number of latent factors of stochastic volatility models. The methodology relies on the non-parametric Fourier estimation method introduced by [Malliavin and Mancino, 2002] and applies to high-frequency data. Based on the Fourier analysis, we first estimate...

The class of spectrally positive Lévy processes is a frequent choice for modelling loss processes in areas such as insurance or operational risk. Dependence between such processes (for example, between different lines of business) can be modelled with Lévy copulas. This approach is a...

Although several types of options on multiple assets are popular in today's financial markets, valuing multi-asset options is still a challenge in finance. The standard framework of multivariate normality is often inappropriate, since it ignores fat tails and other stylized facts of asset...

DIE METHODISCHE GRUNDLEGUNG -- AUSGANGSBASIS: DIE BESTEHENDE ZINSSTRUKTURKURVE -- DIE ÄLTEREN THEORIEN ZUR ZINSSTRUKTUR -- DIE GRUNDMODELLE DER ZINSSTRUKTUR -- DIE DETERMINISTISCHEN FAKTOREN ZUR ZINSSTRUKTUR -- DIE SUBSTITUTIVEN ARBITRAGEPROZESSE ZUR ZINSSTRUKTUR -- DIE STOCHASTISCHEN...

The field of computational finance is evolving ever faster. This book collects a number of novel contributions on the use of computational methods and techniques for modelling financial asset prices, returns, and volatility, and on the use of numerical methods for pricing, hedging, and risk...