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Existence of financial equilibria in continuous time with potentially complete markets

Author

Listed:
  • Riedel, Frank

    (Center for Mathematical Economics, Bielefeld University)

  • Herzberg, Frederik

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We prove that in smooth Markovian continuous{time economies with potentially complete asset markets, Radner equilibria with endoge- nously complete markets exist.

Suggested Citation

  • Riedel, Frank & Herzberg, Frederik, 2017. "Existence of financial equilibria in continuous time with potentially complete markets," Center for Mathematical Economics Working Papers 443, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:443
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    File URL: https://pub.uni-bielefeld.de/download/2909312/2909313
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    References listed on IDEAS

    as
    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Darrell Duffie & Chi-Fu Huang, 2005. "Implementing Arrow-Debreu Equilibria By Continuous Trading Of Few Long-Lived Securities," World Scientific Book Chapters,in: Theory Of Valuation, chapter 4, pages 97-127 World Scientific Publishing Co. Pte. Ltd..
    3. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
    4. Martins-da-Rocha, V. Filipe & Riedel, Frank, 2010. "On equilibrium prices in continuous time," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1086-1112, May.
    5. Robert M. Anderson & Roberto C. Raimondo, 2008. "Equilibrium in Continuous-Time Financial Markets: Endogenously Dynamically Complete Markets," Econometrica, Econometric Society, vol. 76(4), pages 841-907, July.
    6. Frank Riedel & Peter Bank, 2001. "Existence and structure of stochastic equilibria with intertemporal substitution," Finance and Stochastics, Springer, vol. 5(4), pages 487-509.
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    8. 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.
    9. 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, vol. 6(2), pages 327-343.
    10. Huang, Chi-fu, 1987. "An Intertemporal General Equilibrium Asset Pricing Model: The Case of Diffusion Information," Econometrica, Econometric Society, vol. 55(1), pages 117-142, January.
    11. repec:dau:papers:123456789/13604 is not listed on IDEAS
    12. J. Hugonnier & S. Malamud & E. Trubowitz, 2012. "Endogenous Completeness of Diffusion Driven Equilibrium Markets," Econometrica, Econometric Society, vol. 80(3), pages 1249-1270, May.
    13. Hindy, Ayman & Huang, Chi-fu, 1992. "Intertemporal Preferences for Uncertain Consumption: A Continuous Time Approach," Econometrica, Econometric Society, vol. 60(4), pages 781-801, July.
    14. Dana, Rose Anne, 1993. "Existence and Uniqueness of Equilibria When Preferences Are Additively Separable," Econometrica, Econometric Society, vol. 61(4), pages 953-957, July.
    15. Ioannis Karatzas & (*), S. G. Kou, 1998. "Hedging American contingent claims with constrained portfolios," Finance and Stochastics, Springer, vol. 2(3), pages 215-258.
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    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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    Cited by:

    1. Daniel C. Schwarz, 2015. "Market Completion with Derivative Securities," Papers 1506.00188, arXiv.org.
    2. Patrick Beissner & Frank Riedel, 2014. "Non-Implementability of Arrow-Debreu Equilibria by Continuous Trading under Knightian Uncertainty," Papers 1409.6940, arXiv.org.
    3. Daniel C. Schwarz, 2017. "Market completion with derivative securities," Finance and Stochastics, Springer, vol. 21(1), pages 263-284, January.
    4. Kasper Larsen & Tanawit Sae Sue, 2015. "Radner equilibrium in incomplete Levy models," Papers 1507.02974, arXiv.org, revised Jul 2015.
    5. repec:eee:mateco:v:74:y:2018:i:c:p:119-127 is not listed on IDEAS
    6. Dmitry Kramkov, 2013. "Existence of an endogenously complete equilibrium driven by a diffusion," Papers 1304.3516, arXiv.org, revised Oct 2014.
    7. Dmitry Kramkov, 2015. "Existence of an endogenously complete equilibrium driven by a diffusion," Finance and Stochastics, Springer, vol. 19(1), pages 1-22, January.
    8. Peter Bank & Dmitry Kramkov, 2015. "A model for a large investor trading at market indifference prices. I: Single-period case," Finance and Stochastics, Springer, vol. 19(2), pages 449-472, April.
    9. Alziary Chassat, Bénédicte & Takac, Peter, 2017. "On the Heston Model with Stochastic Volatility: Analytic Solutions and Complete Markets," TSE Working Papers 17-796, Toulouse School of Economics (TSE).
    10. Ehling, Paul & Heyerdahl-Larsen, Christian, 2015. "Complete and incomplete financial markets in multi-good economies," Journal of Economic Theory, Elsevier, vol. 160(C), pages 438-462.
    11. Dmitry Kramkov & Silviu Predoiu, 2011. "Integral representation of martingales motivated by the problem of endogenous completeness in financial economics," Papers 1110.3248, arXiv.org, revised Oct 2012.
    12. Beißner, Patrick, 2016. "Radner Equilibria under Ambiguous Volatility," Center for Mathematical Economics Working Papers 493, Center for Mathematical Economics, Bielefeld University.

    More about this item

    Keywords

    Potentially complete market; Continuous-time financial market; Radner equilibrium; It^o diffusion; Analytic transition density;

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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