Coherent risk measures, valuation bounds, and (my,p)-portfolio optimization
Stefan R. Jaschke and
Uwe Küchler
No 1999,64, SFB 373 Discussion Papers from Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
Abstract:
This paper presents a general theory that works out the relation between coherent risk measures, valuation bounds, and certain classes of portfolio optimization problems. It is economically general in the sense that it works for any cash stream spaces, be it in dynamic trading settings, one-step models, or even deterministic cash streams. It is mathematically general in the sense that, the core results are established for (possibly infinite-dimensional) linear spaces. The valuation 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 sharp enough to be useful in the practice of pricing and still be generic, i.e., somewhat independent of personal preferences, in the way many coherent risk measures are somewhat generic.
Keywords: coherent risk rneasures; valuation bounds; portfolio optirnization; robust hedging; convex cones; dorninance relations; convex duality; incornplete rnarkets; proportional transaction costs (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:
Downloads: (external link)
https://www.econstor.eu/bitstream/10419/61712/1/722392443.pdf (application/pdf)
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:zbw:sfb373:199964
Access Statistics for this paper
More papers in SFB 373 Discussion Papers from Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes Contact information at EDIRC.
Bibliographic data for series maintained by ZBW - Leibniz Information Centre for Economics ().