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A model for a large investor trading at market indifference prices. I: single-period case

  • Peter Bank

    (Technische Universit\"at Berlin)

  • Dmitry Kramkov

    (Carnegie Mellon and Oxford)

Registered author(s):

    We develop a single-period model for a large economic agent who trades with market makers at their utility indifference prices. A key role is played by a pair of conjugate saddle functions associated with the description of Pareto optimal allocations in terms of the utility function of a representative market maker.

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    File URL: http://arxiv.org/pdf/1110.3224
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    Paper provided by arXiv.org in its series Papers with number 1110.3224.

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    Date of creation: Oct 2011
    Date of revision: Dec 2013
    Publication status: Published in (2015) Finance and Stochastics, Volume 19, Issue 2, Pages 449-472
    Handle: RePEc:arx:papers:1110.3224
    Contact details of provider: Web page: http://arxiv.org/

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    1. E. Platen & M. Schweizer, 1997. "On Feedback Effects from Hedging Derivatives," SFB 373 Discussion Papers 1997,83, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    2. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
    3. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
    4. Peter Bank & Dietmar Baum, 2004. "Hedging and Portfolio Optimization in Financial Markets with a Large Trader," Mathematical Finance, Wiley Blackwell, vol. 14(1), pages 1-18.
    5. Nicolae Garleanu & Lasse Heje Pedersen & Allen M. Poteshman, 2005. "Demand-Based Option Pricing," NBER Working Papers 11843, National Bureau of Economic Research, Inc.
    6. U. �etin & R. Jarrow & P. Protter & M. Warachka, 2006. "Pricing Options in an Extended Black Scholes Economy with Illiquidity: Theory and Empirical Evidence," Review of Financial Studies, Society for Financial Studies, vol. 19(2), pages 493-529.
    7. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    8. Umut Çetin & Robert Jarrow & Philip Protter, 2004. "Liquidity risk and arbitrage pricing theory," Finance and Stochastics, Springer, vol. 8(3), pages 311-341, 08.
    9. Schied, Alexander & Schoeneborn, Torsten, 2008. "Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets," MPRA Paper 7105, University Library of Munich, Germany.
    10. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    11. Hans R. Stoll, . "The Supply of Dealer Services in Securities Markets," Rodney L. White Center for Financial Research Working Papers 02-78, Wharton School Rodney L. White Center for Financial Research.
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