IDEAS home Printed from https://ideas.repec.org/p/diw/diwwpp/dp2027.html
   My bibliography  Save this paper

Non-Additivity of Subjective Expectations over Different Time Intervals

Author

Listed:
  • Peter Haan
  • Chen Sun
  • Uwe Sunde
  • Georg Weizsäcker

Abstract

We examine the additivity of stock-market expectations over different time intervals. When asked about a ten-year interval, survey respondents expect a stock-price change that is not equal to, but closer to zero than, the sum of their expectations over two shorter time intervals that cover the same ten years. Such sub-additivity is irrational in that it cannot stem from aggregating short-term expectations. Model estimates show that the pattern is consistent with a time perception where shorter time intervals have a proportionally larger weight. We also find that the respondents’ degree of additivity is correlated with making larger financial investments.

Suggested Citation

  • Peter Haan & Chen Sun & Uwe Sunde & Georg Weizsäcker, 2022. "Non-Additivity of Subjective Expectations over Different Time Intervals," Discussion Papers of DIW Berlin 2027, DIW Berlin, German Institute for Economic Research.
  • Handle: RePEc:diw:diwwpp:dp2027
    as

    Download full text from publisher

    File URL: https://www.diw.de/documents/publikationen/73/diw_01.c.861217.de/dp2027.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. W. David Bradford & Paul Dolan & Matteo M. Galizzi, 2019. "Looking ahead: Subjective time perception and individual discounting," Journal of Risk and Uncertainty, Springer, vol. 58(1), pages 43-69, February.
    2. Michael Hurd & Maarten Van Rooij & Joachim Winter, 2011. "Stock market expectations of Dutch households," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(3), pages 416-436, April.
    3. Rüdiger Weber & Annika Weber & Christine Laudenbach & Johannes Wohlfart, 2021. "Beliefs About the Stock Market and Investment Choices: Evidence from a Field Experiment," CEBI working paper series 21-17, University of Copenhagen. Department of Economics. The Center for Economic Behavior and Inequality (CEBI).
    4. Stefano Giglio & Bryan Kelly, 2018. "Excess Volatility: Beyond Discount Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(1), pages 71-127.
    5. Christine Laudenbach & Annika Weber & Rüdiger Weber & Johannes Wohlfart, 2021. "Beliefs about the Stock Market and Investment Choices: Evidence from a Survey and a Field Experiment," CESifo Working Paper Series 9427, CESifo.
    6. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    8. Matthew Levy & Joshua Tasoff, 2016. "Exponential-Growth Bias and Lifecycle Consumption," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 545-583.
    9. Matthew Levy & Joshua Tasoff, 2016. "Exponential-Growth Bias And Lifecycle Consumption," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 545-583, June.
    10. Arrondel, Luc & Calvo-Pardo, Hector, 2014. "Subjective return expectations, information and stock market participation: evidence from France," Discussion Paper Series In Economics And Econometrics 1415, Economics Division, School of Social Sciences, University of Southampton.
    11. Christine Laudenbach & Annika Weber & Johannes Wohlfart, 2021. "Beliefs About the Stock Market and Investment Choices: Evidence from a Field Experiment," ECONtribute Discussion Papers Series 128, University of Bonn and University of Cologne, Germany.
    12. Haliassos, Michael & Bertaut, Carol C, 1995. "Why Do So Few Hold Stocks?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1110-1129, September.
    13. Victor Stango & Jonathan Zinman, 2009. "Exponential Growth Bias and Household Finance," Journal of Finance, American Finance Association, vol. 64(6), pages 2807-2849, December.
    14. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    15. Michael Woodford, 2012. "Prospect Theory as Efficient Perceptual Distortion," American Economic Review, American Economic Association, vol. 102(3), pages 41-46, May.
    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. Breunig, Christoph & Grabova, Iuliia & Haan, Peter & Weinhardt, Felix & Weizsäcker, Georg, 2021. "Long-run expectations of households," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 31, pages 1-1.
    2. Asen Ivanov, 2021. "Optimal pension plan default policies when employees are biased," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(3), pages 583-596, June.
    3. Christoph Breunig & Steffen Huck & Tobias Schmidt & Georg Weizsäcker, 2021. "The Standard Portfolio Choice Problem in Germany," The Economic Journal, Royal Economic Society, vol. 131(638), pages 2413-2446.
    4. Preuss, Marcel & Reyes, Germán & Somerville, Jason & Wu, Joy, 2022. "Inequality of Opportunity and Income Redistribution," VfS Annual Conference 2022 (Basel): Big Data in Economics 264138, Verein für Socialpolitik / German Economic Association.
    5. Kai Barron & Tilman Fries, 2023. "Narrative Persuasion," Rationality and Competition Discussion Paper Series 469, CRC TRR 190 Rationality and Competition.
    6. Heiner Mikosch & Christopher Roth & Samad Sarferaz & Johannes Wohlfart, 2024. "Uncertainty and Information Acquisition: Evidence from Firms and Households," American Economic Journal: Macroeconomics, American Economic Association, vol. 16(2), pages 375-405, April.
    7. Stephen L. Cheung & Kieran MacGibbon & Arquette Milin-Byrne & Agnieszka Tymula, 2024. "Quasi-exponential discounting," Working Papers 2024-16, University of Sydney, School of Economics.
    8. Olckers, Matthew, 2021. "On track for retirement?," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 76-88.
    9. Goda, Gopi Shah & Levy, Matthew R. & Manchester, Colleen Flaherty & Sojourner, Aaron & Tasoff, Joshua, 2020. "Who is a passive saver under opt-in and auto-enrollment?," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 301-321.
    10. Alistair Macaulay, 2022. "Heterogeneous Information, Subjective Model Beliefs, and the Time-Varying Transmission of Shocks," CESifo Working Paper Series 9733, CESifo.
    11. Banerjee, Ritwik & Bhattacharya, Joydeep & Majumdar, Priyama, 2021. "Exponential-growth prediction bias and compliance with safety measures related to COVID-19," Social Science & Medicine, Elsevier, vol. 268(C).
    12. Ritwik Banerjee & Priyama Majumdar, 2023. "Exponential growth bias in the prediction of COVID‐19 spread and economic expectation," Economica, London School of Economics and Political Science, vol. 90(358), pages 653-689, April.
    13. Marcel Preuss & Germ'an Reyes & Jason Somerville & Joy Wu, 2022. "Inequality of Opportunity and Income Redistribution," Papers 2209.00534, arXiv.org, revised Nov 2024.
    14. Sandro Ambuehl & B. Douglas Bernheim & Annamaria Lusardi, 2022. "Evaluating Deliberative Competence: A Simple Method with an Application to Financial Choice," American Economic Review, American Economic Association, vol. 112(11), pages 3584-3626, November.
    15. Goda, Gopi Shah & Levy, Matthew R. & Flaherty Manchester, Colleen & Sojourner, Aaron & Tasoff, Joshua & Xiao, Jiusi, 2023. "Are retirement planning tools substitutes or complements to financial capability?," Journal of Economic Behavior & Organization, Elsevier, vol. 214(C), pages 561-573.
    16. Ludwig Ensthaler & Olga Nottmeyer & Georg Weizsäcker & Christian Zankiewicz, 2018. "Hidden Skewness: On the Difficulty of Multiplicative Compounding Under Random Shocks," Management Science, INFORMS, vol. 64(4), pages 1693-1706, April.
    17. Abel, Martin & Byker, Tanya & Carpenter, Jeffrey, 2021. "Socially optimal mistakes? debiasing COVID-19 mortality risk perceptions and prosocial behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 456-480.
    18. Ritwik Banerjee & Joydeep Bhattacharya & Priyama Majumdar, 2020. "Exponential-growth prediction bias and compliance with safety measures in the times of COVID-19," Papers 2005.01273, arXiv.org.
    19. Dimmock, Stephen G. & Kouwenberg, Roy & Mitchell, Olivia S. & Peijnenburg, Kim, 2016. "Ambiguity aversion and household portfolio choice puzzles: Empirical evidence," Journal of Financial Economics, Elsevier, vol. 119(3), pages 559-577.
    20. Cotwright Marty & Chatterjee Swarn, 2022. "Equity Return Expectations and Financial Wealth Holdings of U.S. Households," Open Economics, De Gruyter, vol. 5(1), pages 1-10, January.

    More about this item

    Keywords

    Expectation formation; time perception; sub-additivity; super-additivity;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

    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:diw:diwwpp:dp2027. 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: Bibliothek (email available below). General contact details of provider: https://edirc.repec.org/data/diwbede.html .

    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.