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Hedging and portfolio optimization in financial markets with a large trader. (English) Zbl 1119.91040

This paper establishes the absence of arbitrage opportunity for a large trader whose orders can influence market prices until a new order arrives. This result extends the line of research spawned by [R. Jarrow, “Market manipulation, bubbles, corners and short squeezes”, J. Financial Quant. Anal. 27, No. 3, 311–336 (1992)]. Its intuition is that, in order to avoid transaction costs, the large trader uses a continuous trading strategy of bounded variation, thereby duplicating the trades of an infinitesimal trader supported by essentially the same prices.

MSC:

91G10 Portfolio theory
60G48 Generalizations of martingales
91B62 Economic growth models
91B26 Auctions, bargaining, bidding and selling, and other market models
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