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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

On stationary solutions of delay differential equations driven by a Lévy process

Gushchin, Alexander A.; Küchler, Uwe - 1998

Persistent link: https://www.econbiz.de/10009578568

On sequential parameter estimation for some linear stochastic differential equations with time delay

Küchler, Uwe; Vasiliev, Vjatscheslav A. - 1998

Persistent link: https://www.econbiz.de/10009578573

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

Asymptotic inference for a linear stochastic differential equation with time delay

Gushchin, Alexander A.; Küchler, Uwe - 1997

Persistent link: https://www.econbiz.de/10009657896

On parametric statistical models for stationary solutions of affine stochastic delay differential equations

Gushchin, Alexander A.; Küchler, Uwe - 2001

Persistent link: https://www.econbiz.de/10009616777

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

Weak discrete time approximation of stochastic differential equations with time delay

Küchler, Uwe; Platen, Eckhard - 2001

The paper considers the derivation of weak discrete time approximations for solutions of stochastic differential equations with time delay. These are suitable for Monte Carlo simulation and allow the computation of expectations for functionals of stochastic delay equations. The suggested...

Persistent link: https://www.econbiz.de/10009613605

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