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Arbitrage Theory in Continuous Time: an Overview

Freddy Delbaen () and Walter Schachermayer ()
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Freddy Delbaen: ETH Zürich
Walter Schachermayer: Technische Universität Wien

Chapter 8 in The Mathematics of Arbitrage, 2006, pp 129-146 from Springer

Abstract: After all this preliminary work we are finally in a position to tackle the theme of no-arbitrage in full generality, i.e., for general models S of financial markets in continuous time, and for general (i.e., not necessarily simple) trading strategies H. The choice of the proper class of trading strategies will turn out to be rather subtle. In fact, for different applications (e.g., portfolio optimisation with respect to exponential utility to give a concrete example; see [DGRSSS 02] and [S 03a]) it will sometimes be necessary to consider different classes of appropriate trading strategies. But for the present purpose the concept of admissible strategies developed below will serve very well.

Date: 2006
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DOI: 10.1007/978-3-540-31299-4_8

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