Financial/Actuarial Mathematics Seminar

Fall 2004: Thursdays 3:10-4:00, 3088 East Hall

4:10PM this week; please note the time change



Financial equilibria with jumps

Gordan Zitkovic

Department of Mathematical Sciences, Carnegie Mellon University

March 17, 2005, *** 4:10PM This week only ***



Abstract

We prove existence of stochastic financial equilibria on filtered spaces more general than the ones generated by finite-dimensional Brownian motions. These equilibria span complete markets, or the markets in which incompleteness stems from withdrawal constraints. We deal with general time-dependent utility functions on which only regularity assumptions are imposed, and random endowment density streams which admit jumps. As side-products of the proof of the main result, we establish a novel characterization of semimartingale functions.


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