SFB 649 Discussion Paper 2005-043 On Local Times of Ranked Continuous Semimartingales; Application to Portfolio Generating Functions Raouf Ghomrasni* * Institute of Mathematics, Technische Universität Berlin, Germany This research was supported by the...

We derive the decomposition of the ranked continuous semimartingales i.e. order- statistics processes. We apply it to portfolios generated by functions of the ranked market weights. Thus we generalize recent results of Fernholz.

In a recent work \cite{BG}, given a collection of continuous semimartingales, authors derive a semimartingale decomposition from the corresponding ranked processes in the case that the ranked processes can meet more than two original processes at the same time. This has led to a more general...

We derive the decomposition of the ranked continuous semimartingales i.e. order-statistics processes. We apply it to portfolios generated by functions of the ranked market weights. Thus we generalize recent results of Fernholz.

We give an explicit PDE characterization for the solution of the problemof maximizing the utility of both terminal wealth and intertemporal consumption under model uncertainty. The underlying market model consists of a risky asset, whose volatility and long-term trend are driven by an external...

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