IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Equilibrium Pricing in Incomplete Markets under Translation Invariant Preferences

Listed author(s):
  • Patrick Cheridito
  • Ulrich Horst
  • Michael Kupper
  • Traian A. Pirvu

We provide results on the existence and uniqueness of equilibrium in dynamically incomplete financial markets in discrete time. Our framework allows for heterogeneous agents, unspanned random endowments and convex trading constraints. In the special case where all agents have preferences of the same type and all random endowments are replicable by trading in the financial market we show that a one-fund theorem holds and give an explicit expression for the equilibrium pricing kernel. If the underlying noise is generated by finitely many Bernoulli random walks, the equilibrium dynamics can be described by a system of coupled backward stochastic difference equations, which in the continuous-time limit becomes a multi-dimensional backward stochastic differential equation. If the market is complete in equilibrium, the system of equations decouples, but if not, one needs to keep track of the prices and continuation values of all agents to solve it. As an example we simulate option prices in the presence of stochastic volatility, demand pressure and short-selling constraints.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2011-083.pdf
Download Restriction: no

Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2011-083.

as
in new window

Length: 48 pages
Date of creation: Nov 2011
Handle: RePEc:hum:wpaper:sfb649dp2011-083
Contact details of provider: Postal:
Spandauer Str. 1,10178 Berlin

Phone: +49-30-2093-5708
Fax: +49-30-2093-5617
Web page: http://sfb649.wiwi.hu-berlin.de
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as
in new window


  1. Stephan Stahlschmidt & Helmut Tausendteufel & Wolfgang K. Härdle, 2011. "Bayesian Networks and Sex-related Homicides," SFB 649 Discussion Papers SFB649DP2011-045, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  2. Mammen, Enno & Rothe, Christoph & Schienle, Melanie, 2016. "Semiparametric estimation with generated covariates," Working Paper Series in Economics 81, Karlsruhe Institute of Technology (KIT), Department of Economics and Business Engineering.
  3. Weining Wang & Ihtiyor Bobojonov & Wolfgang Karl Härdle & Martin Odening, 2011. "Increasing Weather Risk: Fact or Fiction?," SFB 649 Discussion Papers SFB649DP2011-077, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  4. Donald J. Brown & Jan Werner, 1995. "Arbitrage and Existence of Equilibrium in Infinite Asset Markets," Review of Economic Studies, Oxford University Press, vol. 62(1), pages 101-114.
  5. Gunda-Alexandra Detmers & Dieter Nautz, 2012. "The Information Content of Central Bank Interest Rate Projections: Evidence from New Zealand," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 323-329, 09.
  6. Rodrigo Herrera & Bernhard Schipp, 2011. "Extreme value models in a conditional duration intensity framework," SFB 649 Discussion Papers SFB649DP2011-022, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  7. Fabian Y. R. P. Bocart & Christian M. Hafner, 2011. "Econometric analysis of volatile art markets," SFB 649 Discussion Papers SFB649DP2011-071, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  8. Raffaele Fiocco & Carlo Scarpa, 2011. "The Regulation of Interdependent Markets," SFB 649 Discussion Papers SFB649DP2011-046, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  9. Nikolaus Hautsch & Julia Schaumburg & Melanie Schienle, 2012. "Financial Network Systemic Risk Contributions," SFB 649 Discussion Papers SFB649DP2012-053, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  10. Kartik Anand & Prasanna Gai & Matteo Marsili, 2011. "Rollover risk, network structure and systemic financial crises," SFB 649 Discussion Papers SFB649DP2011-052, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  11. Juliane Scheffel, 2011. "Identifying the Effect of Temporal Work Flexibility on Parental Time with Children," SFB 649 Discussion Papers SFB649DP2011-024, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  12. Axel Groß-Klußmann & Nikolaus Hautsch, 2011. "Predicting Bid-Ask Spreads Using Long Memory Autoregressive Conditional Poisson Models," SFB 649 Discussion Papers SFB649DP2011-044, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  13. Dietmar Fehr & Frank Heinemann & Aniol Llorente-Saguer, 2013. "The power of sunspots: an experimental analysis," Working Papers 13-2, Federal Reserve Bank of Boston.
  14. Beresford, Alastair R. & Kübler, Dorothea & Preibusch, Sören, 2012. "Unwillingness to pay for privacy: A field experiment," Economics Letters, Elsevier, vol. 117(1), pages 25-27.
  15. Nikolaus Hautsch & Lada M. Kyj & Peter Malec, 2011. "The Merit of High-Frequency Data in Portfolio Allocation," SFB 649 Discussion Papers SFB649DP2011-059, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  16. Kartik Anand & Prasanna Gai & Sujit Kapadia & Simon Brennan & Matthew Willison, 2011. "A Network Model of Financial System Resilience," SFB 649 Discussion Papers SFB649DP2011-051, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  17. Wolfgang Karl Hardle and Maria Osipenko, 2012. "Spatial Risk Premium on Weather Derivatives and Hedging Weather Exposure in Electricity," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
  18. Rong Liu & Lijian Yang & Wolfgang Karl Härdle, 2011. "Oracally Efficient Two-Step Estimation of Generalized Additive Model," SFB 649 Discussion Papers SFB649DP2011-016, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  19. Michael C. Burda & Jennifer Hunt, 2011. "What Explains the German Labor Market Miracle in the Great Recession?," SFB 649 Discussion Papers SFB649DP2011-031, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  20. Akdeniz Duran, Esra & Härdle, Wolfgang Karl & Osipenko, Maria, 2012. "Difference based ridge and Liu type estimators in semiparametric regression models," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 164-175.
  21. Strohsal, Till & Weber, Enzo, 2010. "Mean-Variance Cointegration and the Expectations Hypothesis," University of Regensburg Working Papers in Business, Economics and Management Information Systems 442, University of Regensburg, Department of Economics.
  22. Luc Bauwens & Christian M. Hafner & Diane Pierret, 2013. "Multivariate Volatility Modeling Of Electricity Futures," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(5), pages 743-761, 08.
  23. Heike Belitz & Marius Clemens & Christian von Hirschhausen & Jens Schmidt-Ehmcke & Axel Werwatz & Petra Zloczysti, 2011. "An Indicator for National Systems of Innovation: Methodology and Application to 17 Industrialized Countries," Discussion Papers of DIW Berlin 1129, DIW Berlin, German Institute for Economic Research.
  24. Fehr, Dietmar & Schmid, Julia, 2014. "Exclusion in the all-pay auction: An experimental investigation," Discussion Papers, Research Unit: Market Behavior SP II 2014-206, Social Science Research Center Berlin (WZB).
  25. Elmar Diederichs & Anatoli Juditsky & Arkadi Nemirovski & Vladimir Spokoiny, 2011. "Sparse Non Gaussian Component Analysis by Semidefinite Programming," SFB 649 Discussion Papers SFB649DP2011-080, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  26. Sigbert Klinke, 2011. "Developing web-based tools for the teaching of statistics: Our Wikis and the German Wikipedia," SFB 649 Discussion Papers SFB649DP2011-030, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  27. Santiago Moreno-Bromberg & Luca Taschini, 2011. "Pollution permits, strategic trading and dynamic technology adoption," LSE Research Online Documents on Economics 37581, London School of Economics and Political Science, LSE Library.
  28. Raffaele Fiocco & Mario Gilli, 2011. "Bargaining and Collusion in a Regulatory Model," Working Papers 207, University of Milano-Bicocca, Department of Economics, revised Mar 2011.
  29. Wolfgang Karl Härdle & Brenda López Cabrera & Ostap Okhrin & Weining Wang, 2011. "Localising temperature risk," SFB 649 Discussion Papers SFB649DP2011-001, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  30. Alexandra Fedorets, 2011. "Changes in Occupational Demand Structure and their Impact on Individual Wages," SFB 649 Discussion Papers SFB649DP2011-075, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  31. Shuzhuan Zheng & Lijian Yang & Wolfgang Karl Härdle, 2011. "A Confidence Corridor for Sparse Longitudinal Data Curves," SFB 649 Discussion Papers SFB649DP2011-002, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  32. Dorothee Schneider, 2011. "Monitoring, Information Technology and the Labor Share," SFB 649 Discussion Papers SFB649DP2011-066, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  33. Alexander Meyer-Gohde, 2011. "Monetary Policy, Determinacy, and the Natural Rate Hypothesis," SFB 649 Discussion Papers SFB649DP2011-049, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  34. Dirk Hofmann & Salmai Qari, 2011. "The Law of Attraction: Bilateral Search and Horizontal Heterogeneity," SFB 649 Discussion Papers SFB649DP2011-017, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  35. Lu Lin & Feng Li & Lixing Zhu & Wolfgang Karl Härdle, 2011. "Mean Volatility Regressions," SFB 649 Discussion Papers SFB649DP2011-003, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  36. Esra Akdeniz Duran & Mengmeng Guo & Wolfgang Karl Härdle, 2011. "A Confidence Corridor for Expectile Functions," SFB 649 Discussion Papers SFB649DP2011-004, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  37. Lydia Mechtenberg & Johannes Münster, 2011. "A strategic mediator who is biased into the same direction as the expert can improve information transmission," SFB 649 Discussion Papers SFB649DP2011-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  38. Alexander Meyer-Gohde, 2011. "Sticky Information and Determinacy," SFB 649 Discussion Papers SFB649DP2011-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  39. Xiaoliang Liu & Wei Xu & Martin Odening, 2011. "Can crop yield risk be globally diversified?," SFB 649 Discussion Papers SFB649DP2011-018, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  40. BAUWENS, Luc & HAFNER, Christian & LAURENT, Sébastien, 2011. "Volatility models," CORE Discussion Papers 2011058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  41. Dorothee Schneider, 2011. "The Labor Share: A Review of Theory and Evidence," SFB 649 Discussion Papers SFB649DP2011-069, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  42. Nikolaus Hautsch & Ruihong Huang, 2011. "Limit Order Flow, Market Impact and Optimal Order Sizes: Evidence from NASDAQ TotalView-ITCH Data," SFB 649 Discussion Papers SFB649DP2011-056, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  43. Alexandra Fedorets, 2011. "Time-Varying Occupational Contents: An Additional Link between Occupational Task Profiles and Individual Wages," SFB 649 Discussion Papers SFB649DP2011-074, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  44. Juliane Scheffel, 2011. "How do Unusual Working Schedules Affect Social Life?," SFB 649 Discussion Papers SFB649DP2011-025, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  45. Felix Naujokat & Ulrich Horst, 2011. "When to Cross the Spread: Curve Following with Singular Control," SFB 649 Discussion Papers SFB649DP2011-053, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  46. Wolfgang Karl Härdle & Vladimir Spokoiny & Weining Wang, 2011. "Local Quantile Regression," SFB 649 Discussion Papers SFB649DP2011-005, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:hum:wpaper:sfb649dp2011-083. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (RDC-Team)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.