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A note on stochastic volatility, GARCH models, and hyperbolic distributions

Jaschke, Stefan R. - 1997

We establish a relation between stochastic volatility models and the class of generalized hyperbolic distributions. These distributions have been found to fit exceptionally well to the empirical distribution of stock returns. We review the background of hyperbolic distributions and prove...

Persistent link: https://www.econbiz.de/10009577459

A nonparametric test for the stationary density

Neumann, Michael H.; Paparoditis, Efstathios - 1998

We propose a nonparametric test for checking parametric hypotheses about the stationary density of weakly dependent observations. The test statistic is based on the L2-distance between a nonparametric and a smoothed version of a parametric estimate of the stationary density. It can be shown that...

Persistent link: https://www.econbiz.de/10009578009

Higher order forward rate agreements and the smoothness of the term structure

Jaschke, Stefan R. - 1998

This paper proposes linear higher order conditions on the term structure that allow to compute valuation bounds for any deterministic cash stream. Starting from bounds on the forward rate curve and its derivatives, which are nonlinear in the discount factors, we derive linear conditions that are...

Persistent link: https://www.econbiz.de/10009579185

On robustness of model-based bootstrap schemes in nonparametric time series analysis

Neumann, Michael H. - 1997

Theory in time series analysis is often developed in the context of finite-dimensional models for the data generating …

Persistent link: https://www.econbiz.de/10009660380

Coherent risk measures, valuation bounds, and (my,p)-portfolio optimization

Jaschke, Stefan R.; Küchler, Uwe - 1999

This paper presents a general theory that works out the relation between coherent risk measures, valuation bounds, and … theory presented seems to fill a gap between arbitrage valuation on the one hand and single agent utility maximization or … full-fledged equilibrium theory on the other hand. "Coherent" valuation bounds strike a balance in that the bounds can be …

Persistent link: https://www.econbiz.de/10009581108

Bootstrap inference in single equation error correction models

Herwartz, Helmut; Neumann, Michael H. - 2000

In the sequel of its seminal application in Davidson, Hendry, Srba and Yeo (1978) the single equation error correction model has been widely used in empirical practice. Providing a clear distinction between short- and long-run dynamics this model allows OLS-methods to be as efficient as...

Persistent link: https://www.econbiz.de/10009612036

Quantile-VaR is the wrong measure to quantify market risk for regulatory purposes

Jaschke, Stefan R. - 2001

Starting from the objective of banking supervision - to minimize the overall costs of banking to the general public - we show that the current standard of quantifying market risk is flawed. It is perfectly aligned with the interests of banks' shareholders and management, but not with the...

Persistent link: https://www.econbiz.de/10009614286

The Cornish-Fisher-Expansion in the context of Delta - Gamma - Normal approximations

Jaschke, Stefan R. - 2001

Qualitative and quantitative properties of the Cornish-Fisher-Expansion in the context of Delta-Gamma-Normal approaches to the computation of Value at Risk are presented. Some qualitative deficiencies of the Cornish-Fisher-Expansion - the monotonicity of the distribution function as well as...

Persistent link: https://www.econbiz.de/10009614287

Teaching wavelets in XploRe

Klinke, Sigbert; Golubev, Yuri; Härdle, Wolfgang; … - 1997

Teachware is a set of computer software tools for computeraided interactive teaching of certain knowledge elements. The construction of teachware for statistical knowledge is a rather young field since it heavily depends on data structures and graphical interaction possibilities. In this paper...

Persistent link: https://www.econbiz.de/10009630542