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

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  • Peter Bank

    (Technische Universit\"at Berlin)

  • Dmitry Kramkov

    (Carnegie Mellon and Oxford)

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    Abstract

    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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    Bibliographic Info

    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
    Handle: RePEc:arx:papers:1110.3224

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    1. repec:wop:humbsf:1997-83 is not listed on IDEAS
    2. 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.
    3. Umut Çetin & Robert Jarrow & Philip Protter, 2004. "Liquidity risk and arbitrage pricing theory," Finance and Stochastics, Springer, vol. 8(3), pages 311-341, 08.
    4. 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.
    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. Alexander Schied & Torsten Schöneborn, 2009. "Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets," Finance and Stochastics, Springer, vol. 13(2), pages 181-204, April.
    7. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
    8. Hans R. Stoll, . "The Supply of Dealer Services in Securities Markets," Rodney L. White Center for Financial Research Working Papers 2-78, Wharton School Rodney L. White Center for Financial Research.
    9. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    10. Sanford J. Grossman & Merton H. Miller, 1988. "Liquidity and Market Structure," NBER Working Papers 2641, National Bureau of Economic Research, Inc.
    11. 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.
    12. 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.
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