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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

Unit root tests in the presence of innovational outliers

Lanne, Markku; Lütkepohl, Helmut; Saikkonen, Pentti - 2001

Unit root tests are considered for time series with innovational outliers. The function representing the outliers can have a very general nonlinear form and additional deterministic mean and trend terms are allowed for. Prior to the tests the deterministic parts and other nuisance parameters of...

Persistent link: https://www.econbiz.de/10009616785

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

Reducing size distortions of parametric stationarity tests

Lanne, Markku; Saikkonen, Pentti - 2000

The use of asymptotic critical values in stationarity tests against the alternative of a unit rot process is known to lead to overrejections in finite samples when the considered process is stationary but highly persistent. We claim that in recent parametric tests this is caused by estimation...

Persistent link: https://www.econbiz.de/10009582386

Comparison of unit root tests for time series with level shifts

Lanne, Markku; Lütkepohl, Helmut; Saikkonen, Pentti - 1999

Unit root tests are considered for time series which have a level shift at a known point in time. The shift can have a very general nonlinear form and additional deterministic mean and trend terms are allowed for. Prior to the tests the deterministic parts and other nuisance parameters of the...

Persistent link: https://www.econbiz.de/10009582419

Modeling the US short-term interest rate by mixture autoregressive processes

Lanne, Markku; Saikkonen, Pentti - 2000

A new kind of mixture autoregressive model with GARCH errors is introduced and applied to the U.S. short-term interest rate. According to the diagnostic tests developed in the paper and further informal checks the model is capable of capturing both of the typical characteristics of the...

Persistent link: https://www.econbiz.de/10009612047

Unit root tests for time series with level shifts : a comparison of different proposals

Lanne, Markku; Lütkepohl, Helmut - 2001

A number of unit root tests which accommodate a deterministic level shift at a known point in time are compared in a Monte Carlo study. The tests differ in the way they treat the deterministic term of the DGP. It turns out that Phillips-Perron type tests have very poor small sample properties...

Persistent link: https://www.econbiz.de/10009612568

Test procedures for unit roots in time series with level shifts at unknown time

Lanne, Markku; Lütkepohl, Helmut; Saikkonen, Pentti - 2001

Two types of unit root tests which accommodate a structural level shift at a known point in time are extended to the situation where the break date is unknown. It is shown that for any estimator for the break date the tests have the same asymptotic distribution as the corresponding tests under...

Persistent link: https://www.econbiz.de/10009613596

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