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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

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

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

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