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Optional decompositions under constraints
Föllmer, Hans; Kramkov, D. O. - 1997
Motivated by a hedging problem in mathematical finance, El Karoui and Quenez [7] and Kramkov [14] have developed optional versions of the Doob-Meyer decomposition which hold simultaneously for all equivalent martingale measures. We investigate the general structure of such optional...
Persistent link: https://www.econbiz.de/10009657127
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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
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The local power of some unit root tests for panel data
Breitung, Jörg - 1999
(1993) and Im, Pesaran and Shin (1997) suggest bias adjusted t-statistics. Such corrections are necessary to account for the … affected by two different terms. The first term represents the asymptotic effect on the bias due the detrending method and the … do not require a bias correction. The results of a Monte Carlo experiment suggest that avoiding the bias can improve the …
Persistent link: https://www.econbiz.de/10009581103
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Measurement error, biases, and the validation of complex models
Carroll, Raymond J.; Galindo, Christian D. - 1997
There are three major points to this article: 1. Measurement error causes biases in regression fits. The line one would obtain if one could accurately measure exposure to environmental lead media will differ in important ways when one measures exposure with error. 2. The effects of measurement...
Persistent link: https://www.econbiz.de/10009631751
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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
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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
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Should smart investors buy funds with high returns in the past?
Palomino, Frédéric; Uhlig, Harald - 2002
Newspapers and weekly magazines catering to the investing crowd often rank funds according to the returns generated in the past. Aside from satisfying sheer curiosity, these numbers are probably also the basis on which investors pick a fund to invest in. In this article, we fully characterize...
Persistent link: https://www.econbiz.de/10009621416
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Hedging and portfolio optimization in illiquid financial markets
Bank, Peter; Baum, Dietmar - 2002
analysis relies on the non-linear integration theory of such semimartingale families. The Itô-Wentzell formula is used to prove …
Persistent link: https://www.econbiz.de/10009625800
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Convex measures of risk and trading constraints
Föllmer, Hans; Schied, Alexander - 2001
We introduce the notion of a convex measure of risk, an extension of the concept of a coherent risk measure defined in Artzner et aL (1999), and we prove a corresponding extension of the representation theorem in terms of probability measures on the underlying space of scenarios. As a case...
Persistent link: https://www.econbiz.de/10009615426
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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