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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

A stochastic representation theorem with applications to optimization and obstacle problems

Bank, Peter; El Karoui, Nicole - 2001

We study a new type of representation problem for optional processes with connections to singular control, optimal stopping and dynamic allocation problems. As an application, we show how to solve a variant of Skorohod's obstacle problem in the context of backward stochastic differential...

Persistent link: https://www.econbiz.de/10009620781

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 …

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

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

Jaschke, Stefan R. - 2001

- we show that the current standard of quantifying market risk is flawed. It is perfectly aligned with the interests of … ; supervision ; risk measures ; Basel Accord …

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

Probabilistic aspects of financial risk

Föllmer, Hans - 2000

Problems arising in Finance have become a significant source of new developments in Stochastic Analysis. We discuss some recent case studies, in particular some decomposition and representation theorems which are motivated by problems of hedging derivatives and of intertemporal consumption choice.

Persistent link: https://www.econbiz.de/10009612020

Net based spreadsheets in quantitative finance

Aydinli, Gökhan - 2002

Persistent link: https://www.econbiz.de/10009624849

Quantile hedging

Föllmer, Hans; Leukert, Peter - 1998

risk …

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

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

Canonical decomposition of linear transformations of two independent Brownian motions

Föllmer, Hans; Wu, Ching-Tang; Yor, Marc - 1998

filtering theory ; enlargement of filtration ; canonical decomposition ; Sturm-Liouville equation ; Volterra kernels …

Persistent link: https://www.econbiz.de/10009578007

Flexible stochastic volatility structures for high frequency financial data

Feldmann, David; Härdle, Wolfgang; Hafner, Christian M.; … - 1998

Stochastic Volatility (SV) models are widely used in financial applications. To decide whether standard parametric restrictions are justified for a given dataset, a statistical test is required. In this paper, we develop such a test based on the linear state space representation. We provide a...

Persistent link: https://www.econbiz.de/10009578026

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