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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," Berlin School of Economics Discussion Papers 0004, Berlin School of Economics.
    • Handle: RePEc:bdp:dpaper:0004
    DOI: 10.48462/opus4-4660
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    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. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    6. 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.
    7. 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.
    8. Michael Woodford, 2012. "Prospect Theory as Efficient Perceptual Distortion," American Economic Review, American Economic Association, vol. 102(3), pages 41-46, May.
    9. 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.
    10. Haliassos, Michael & Bertaut, Carol C, 1995. "Why Do So Few Hold Stocks?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1110-1129, September.
    11. 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.
    12. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    13. 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).
    14. 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.
    15. Victor Stango & Jonathan Zinman, 2009. "Exponential Growth Bias and Household Finance," Journal of Finance, American Finance Association, vol. 64(6), pages 2807-2849, December.
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    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

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