IDEAS home Printed from https://ideas.repec.org/a/spr/finsto/v27y2023i4d10.1007_s00780-023-00516-y.html
   My bibliography  Save this article

Asset pricing with dynamically inconsistent agents

Author

Listed:
  • Mariana Khapko

    (University of Toronto Scarborough
    University of Toronto)

Abstract

This paper investigates an endowment economy featuring dynamically inconsistent preferences. Taking a game-theoretic approach, the paper provides an explicit characterisation of the market equilibrium, including the equilibrium short rate, the equilibrium market price of risk and the equilibrium stochastic discount factor. The general results are applied to models featuring non-exponential discounting and state-dependent risk aversion. The findings underscore the significance of incorporating dynamically inconsistent preferences into economic models and offer a framework for analysing them in the context of asset pricing.

Suggested Citation

  • Mariana Khapko, 2023. "Asset pricing with dynamically inconsistent agents," Finance and Stochastics, Springer, vol. 27(4), pages 1017-1046, October.
    • Handle: RePEc:spr:finsto:v:27:y:2023:i:4:d:10.1007_s00780-023-00516-y
    DOI: 10.1007/s00780-023-00516-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00780-023-00516-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00780-023-00516-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
    2. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
    3. George Loewenstein & Ted O'Donoghue & Matthew Rabin, 2003. "Projection Bias in Predicting Future Utility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1209-1248.
    4. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    5. Tomas Björk & Agatha Murgoci, 2014. "A theory of Markovian time-inconsistent stochastic control in discrete time," Finance and Stochastics, Springer, vol. 18(3), pages 545-592, July.
    6. Gordon S. & St-Amour P., 2004. "Asset Returns and State-Dependent Risk Preferences," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 241-252, July.
    7. Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October.
    8. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    9. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    10. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    11. Angelo Melino & Alan X. Yang, 2003. "State Dependent Preferences Can Explain the Equity Premium Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 806-830, October.
    12. Christopher Harris & David Laibson, 2013. "Instantaneous Gratification," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(1), pages 205-248.
    13. Eisenbach, Thomas M. & Schmalz, Martin C., 2016. "Anxiety in the face of risk," Journal of Financial Economics, Elsevier, vol. 121(2), pages 414-426.
    14. Camilo Hern'andez & Dylan Possamai, 2023. "Time-inconsistent contract theory," Papers 2303.01601, arXiv.org.
    15. Nicolas Vieille & Jörgen Weibull, 2009. "Multiple solutions under quasi-exponential discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 513-526, June.
    16. 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.
    17. Yu-Jui Huang & Zhou Zhou, 2021. "Strong and Weak Equilibria for Time-Inconsistent Stochastic Control in Continuous Time," Mathematics of Operations Research, INFORMS, vol. 46(2), pages 428-451, May.
    18. Lior Menzly & Tano Santos & Pietro Veronesi, 2004. "Understanding Predictability," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 1-47, February.
    19. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    20. Munk, Claus, 2015. "Financial Asset Pricing Theory," OUP Catalogue, Oxford University Press, number 9780198716457.
    21. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    22. Tomas Björk & Mariana Khapko & Agatha Murgoci, 2017. "On time-inconsistent stochastic control in continuous time," Finance and Stochastics, Springer, vol. 21(2), pages 331-360, April.
    23. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    24. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anna Jaśkiewicz & Andrzej S. Nowak, 2021. "Markov decision processes with quasi-hyperbolic discounting," Finance and Stochastics, Springer, vol. 25(2), pages 189-229, April.
    2. Tomas Björk & Mariana Khapko & Agatha Murgoci, 2017. "On time-inconsistent stochastic control in continuous time," Finance and Stochastics, Springer, vol. 21(2), pages 331-360, April.
    3. Tyson, Christopher J., 2008. "Management of a capital stock by Strotz's naive planner," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2214-2239, July.
    4. Camilo Hern'andez & Dylan Possamai, 2020. "Me, myself and I: a general theory of non-Markovian time-inconsistent stochastic control for sophisticated agents," Papers 2002.12572, arXiv.org, revised Jul 2021.
    5. Liya Liu & Yingjie Niu & Yuanping Wang & Jinqiang Yang, 2020. "Optimal consumption with time-inconsistent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 785-815, October.
    6. Marianne Andries & Thomas M. Eisenbach & Martin C. Schmalz, 2014. "Horizon-Dependent Risk Aversion and the Timing and Pricing of Uncertainty," Staff Reports 703, Federal Reserve Bank of New York.
    7. Maria Alessandra Antonelli & Valeria De Bonis & Angelo Castaldo & Alessandrao Gandolfo, 2022. "Sin goods taxation: an encompassing model," Public Finance Research Papers 52, Istituto di Economia e Finanza, DSGE, Sapienza University of Rome.
    8. Takeo Hori & Koichi Futagami, 2019. "A Non‐unitary Discount Rate Model," Economica, London School of Economics and Political Science, vol. 86(341), pages 139-165, January.
    9. Rohde, Kirsten I.M., 2009. "Decreasing relative impatience," Journal of Economic Psychology, Elsevier, vol. 30(6), pages 831-839, December.
    10. Kirill Borissov & Mikhail Pakhnin & Ronald Wendner, 2020. "Naive Agents with Quasi-hyperbolic Discounting and Perfect Foresight," EUSP Department of Economics Working Paper Series 2020/03, European University at St. Petersburg, Department of Economics.
    11. László Á. Kóczy, 2010. "Strategic Aspects of the 1995 and 2004 EU Enlargements," Group Decision and Negotiation, Springer, vol. 19(3), pages 267-277, May.
    12. Xue Dong He & Xun Yu Zhou, 2021. "Who Are I: Time Inconsistency and Intrapersonal Conflict and Reconciliation," Papers 2105.01829, arXiv.org.
    13. Thomas Eisenbach & Martin Schmalz & Marianne Andries, 2015. "Asset Pricing with Horizon-Dependent Risk Aversion," 2015 Meeting Papers 1069, Society for Economic Dynamics.
    14. Anke Gerbe & Kirsten I.M. Rohde, 2010. "Risk and Preference Reversals in Intertemporal Choice," Post-Print hal-00911832, HAL.
    15. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2013. "Ambiguous Survival Beliefs and Hyperbolic Discounting in a Life-Cycle Model," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79878, Verein für Socialpolitik / German Economic Association.
    16. Gerber, Anke & Rohde, Kirsten I.M., 2010. "Risk and preference reversals in intertemporal choice," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 654-668, December.
    17. Kirsten Rohde, 2010. "The hyperbolic factor: A measure of time inconsistency," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 125-140, October.
    18. Breugelmans, E. & Campo, K. & Gijsbrechts, E., 2005. "Shelf sequence and proximity effects on online grocery choices," Research Memorandum 053, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    19. Dominique Pépin & Stephen M. Miller, 2020. "The Time-Varying Nature of Risk Aversion: Evidence from 60 Years of U.S. Stock Market Data," Working papers 2020-09, University of Connecticut, Department of Economics.
    20. Yu-Jui Huang & Adrien Nguyen-Huu, 2018. "Time-consistent stopping under decreasing impatience," Finance and Stochastics, Springer, vol. 22(1), pages 69-95, January.

    More about this item

    Keywords

    Time inconsistency; Equilibrium; Asset pricing; Non-exponential discounting; State-dependent risk aversion;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:finsto:v:27:y:2023:i:4:d:10.1007_s00780-023-00516-y. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.