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Non-Additivity of Subjective Expectations over Different Time Intervals

Author

Listed:
  • Haan, Peter

    (FU Berlin and DIW Berlin)

  • Sun, Chen

    (HU Berlin)

  • Sunde, Uwe

    (LMU Munich)

  • Weizsäcker, Georg

    (HU Berlin)

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

  • Haan, Peter & Sun, Chen & Sunde, Uwe & Weizsäcker, Georg, 2022. "Non-Additivity of Subjective Expectations over Different Time Intervals," Rationality and Competition Discussion Paper Series 337, CRC TRR 190 Rationality and Competition.
  • Handle: RePEc:rco:dpaper:337
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    References listed on IDEAS

    as
    1. 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.
    2. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    3. 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.
    4. 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.
    5. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    6. Haliassos, Michael & Bertaut, Carol C, 1995. "Why Do So Few Hold Stocks?," Economic Journal, Royal Economic Society, vol. 105(432), pages 1110-1129, September.
    7. 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.
    8. 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).
    9. Victor Stango & Jonathan Zinman, 2009. "Exponential Growth Bias and Household Finance," Journal of Finance, American Finance Association, vol. 64(6), pages 2807-2849, December.
    10. 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.
    11. 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.
    12. Michael Woodford, 2012. "Prospect Theory as Efficient Perceptual Distortion," American Economic Review, American Economic Association, vol. 102(3), pages 41-46, May.
    13. 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.
    14. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    15. 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.
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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

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