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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 hedging

Föllmer, Hans; Leukert, Peter - 1998

In a complete financial market every contingent claim can be hedged perfectly. In an incomplete market it is possible to stay on the safe side by superhedging. But such strategies may require a large amount of initial capital. Here we study the question what an investor can do who is unwilling...

Persistent link: https://www.econbiz.de/10009574876

Efficient hedging : cost versus shortfall risk

Föllmer, Hans; Leukert, Peter - 1999

An investor faced with a contingent claim may eliminate risk by (super-)hedging in a financial market. As this is often quite expensive, we study partial hedges, which require less capital and reduce the risk. In a previous paper we determined quantile hedges which succeed with maximal...

Persistent link: https://www.econbiz.de/10009579176

Backtesting beyond VaR

Härdle, Wolfgang; Stahl, Gerhard - 1999

VaR models are related to statistical forecast systems. Within that framework different forecast tasks including Value-at-Risk and shortfall are discussed and motivated. A backtesting method based on the shortfall is developed and applied to VaR forecasts of areal portfolio. The analysis shows...

Persistent link: https://www.econbiz.de/10009582401

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

Testing for the cointegrating rank of a VAR process with an intercept

Saikkonen, Pentti; Lütkepohl, Helmut - 1998

Testing the cointegrating rank of a vector autoregressive process with an intercept is considered. In addition to the likelihood ratio (LR) tests developed by Johansen and Juselius and others we also consider an alternative class of tests which is based on estimating the trend parameters of the...

Persistent link: https://www.econbiz.de/10009578014

Testing for the cointegrating rank of a VAR process with structural shifts

Saikkonen, Pentti; Lütkepohl, Helmut - 2001

Tests for the cointegrating rank of a vector autoregressive process are considered which allow for possible exogenous shifts in the mean of the data generation process. The break points are assumed to be known a priori. It is proposed to estimate and remove the deterministic terms such as mean,...

Persistent link: https://www.econbiz.de/10009578552

Trend adjustment prior to testing for the cointegrating rank of a VAR process

Saikkonen, Pentti; Lütkepohl, Helmut - 1997

Testing the cointegrating rank of a vector autoregressive process which may have a deterministic linear trend is considered. Previous proposals for dealing with such a situation are either to allow for a deterministic trend term in computing a suitable test statistic or else remove the linear...

Persistent link: https://www.econbiz.de/10009659627

Order selection in testing for the cointegrating rank of a VAR process

Lütkepohl, Helmut; Saikkonen, Pentti - 1997

The impact of the choice of the lag length on tests for the number of cointegration relations in a vector autoregressive (VAR) process is investigated. It is shown that the asymptotic distribution of likelihood ratio (LR) tests for the cointegrating rank remains unchanged if the true data...

Persistent link: https://www.econbiz.de/10009660377

Stability results for nonlinear vector autoregressions with an application to a nonlinear error correction model

Saikkonen, Pentti - 2001

stability theory developed for Markov chains. Stationarity, existence of second moments of the stationary distribution, and …

Persistent link: https://www.econbiz.de/10009616775

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