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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
This paper considers the introduction of stock options in an (dynamically) incomplete securities market made up of a …
Persistent link: https://www.econbiz.de/10009613613
Persistent link: https://www.econbiz.de/10001917139
This paper presents a general theory that works out the relation between coherent risk measures, valuation bounds, and … preferences, in the way many coherent risk measures are somewhat generic. -- coherent risk rneasures ; valuation bounds …
Persistent link: https://www.econbiz.de/10009581108
We introduce the notion of a convex measure of risk, an extension of the concept of a coherent risk measure defined in … the underlying space of scenarios. As a case study, we consider convex measures of risk defined in terms of a robust not … ion of bounded shortfall risk. In the context of a financial market model, it turns out that the representation theorem is …
Persistent link: https://www.econbiz.de/10009615426
benchmark portfolio that is chosen to be the growth optimal portfolio. The general structure of risk premia for asset prices and …
Persistent link: https://www.econbiz.de/10009614289
Persistent link: https://www.econbiz.de/10001919109
risk …
Persistent link: https://www.econbiz.de/10009574876
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 … the shortfall risk defined as the expectation of the shortfall weighted by some loss function. The resulting efficient …
Persistent link: https://www.econbiz.de/10009579176
will pick a portfolio with higher risk, "gambling" on a lucky outcome, (iv), when the fee structure is endogenous, both …
Persistent link: https://www.econbiz.de/10009621416