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A Model Of Optimal Consumption Under Liquidity Risk With Random Trading Times

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  • Huyên Pham
  • Peter Tankov

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  • Huyên Pham & Peter Tankov, 2008. "A Model Of Optimal Consumption Under Liquidity Risk With Random Trading Times," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 613-627.
  • Handle: RePEc:bla:mathfi:v:18:y:2008:i:4:p:613-627
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    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9965.2008.00350.x
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    References listed on IDEAS

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    1. David Heath & Eckhard Platen & Martin Schweizer, 2001. "A Comparison of Two Quadratic Approaches to Hedging in Incomplete Markets," Mathematical Finance, Wiley Blackwell, vol. 11(4), pages 385-413.
    2. Friedrich Hubalek & Jan Kallsen & Leszek Krawczyk, 2006. "Variance-optimal hedging for processes with stationary independent increments," Papers math/0607112, arXiv.org.
    3. Filipovic, Damir, 2005. "Time-inhomogeneous affine processes," Stochastic Processes and their Applications, Elsevier, vol. 115(4), pages 639-659, April.
    4. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    5. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, pages 327-343.
    6. Brigo, Damiano & Hanzon, Bernard, 1998. "On some filtering problems arising in mathematical finance," Insurance: Mathematics and Economics, Elsevier, pages 53-64.
    7. Ales Černý & Jan Kallsen, 2008. "A Counterexample Concerning The Variance-Optimal Martingale Measure," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 305-316.
    8. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-384, March.
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    Cited by:

    1. Giorgia Callegaro & Giovanni Masi & Wolfgang Runggaldier, 2006. "Portfolio Optimization in Discontinuous Markets under Incomplete Information," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, pages 373-394.
    2. Paul Gassiat & Fausto Gozzi & Huy^en Pham, 2011. "Investment/consumption problem in illiquid markets with regime-switching," Papers 1107.4210, arXiv.org, revised Apr 2012.
    3. Alessandra Cretarola & Fausto Gozzi & Huyên Pham & Peter Tankov, 2011. "Optimal consumption policies in illiquid markets," Finance and Stochastics, Springer, vol. 15(1), pages 85-115, January.
    4. Salvatore Federico & Paul Gassiat & Fausto Gozzi, 2012. "Impact of time illiquidity in a mixed market without full observation," Papers 1211.1285, arXiv.org, revised Mar 2015.
    5. Paul Gassiat & Huyen Pham & Mihai Sirbu, 2009. "Optimal investment on finite horizon with random discrete order flow in illiquid markets," Papers 0907.2203, arXiv.org.
    6. T. R. Hurd & Quentin H. Shao & Tuan Tran, 2016. "Optimal Portfolios of Illiquid Assets," Papers 1610.00395, arXiv.org.
    7. Michael Ludkovski & Hyekyung Min, 2010. "Illiquidity Effects in Optimal Consumption-Investment Problems," Papers 1004.1489, arXiv.org, revised Sep 2010.
    8. Salvatore Federico & Paul Gassiat, 2012. "Viscosity characterization of the value function of an investment-consumption problem in presence of illiquid assets," Papers 1211.1286, arXiv.org.
    9. Soren Christensen & Marc Wittlinger, 2012. "Optimal relaxed portfolio strategies for growth rate maximization problems with transaction costs," Papers 1209.0305, arXiv.org, revised Jun 2013.
    10. Kazufumi Fujimoto & Hideo Nagai & Wolfgang Runggaldier, 2014. "Expected Log-Utility Maximization Under Incomplete Information and with Cox-Process Observations," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, pages 35-66.
    11. Edoli, Enrico & Runggaldier, Wolfgang J., 2010. "On optimal investment in a reinsurance context with a point process market model," Insurance: Mathematics and Economics, Elsevier, pages 315-326.
    12. Castellano, Rosella & Cerqueti, Roy, 2014. "Mean–Variance portfolio selection in presence of infrequently traded stocks," European Journal of Operational Research, Elsevier, vol. 234(2), pages 442-449.

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