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Hidden Skewness

Author

Listed:
  • Ludwig Ensthaler
  • Olga Nottmeyer
  • Georg Weizsäcker

Abstract

Multiplicative growth processes that are subject to random shocks often have a skewed distribution of outcomes. A simple laboratory experiment shows that participants either strongly underestimate skewness or ignore it completely. The participants' choices reveal bounds on their subjective medians of a financial asset's price that is subject to stochastic growth. The observed bias in expectations is irrespective to risk preferences and fairly robust to feedback. It is consistent with a behavioral model in which geometric growth is confused with linear growth. The bias is a possible explanation of investors' misunderstandings of real-world financial products like leveraged ETFs.

Suggested Citation

  • Ludwig Ensthaler & Olga Nottmeyer & Georg Weizsäcker, 2012. "Hidden Skewness," Discussion Papers of DIW Berlin 1238, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp1238
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    References listed on IDEAS

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    1. Annamarie Lusardi & Olivia S. Mitchell, 2005. "Financial Literacy and Planning: Implications for Retirement Wellbeing," Working Papers wp108, University of Michigan, Michigan Retirement Research Center.
    2. Alexander Klos & Elke U. Weber & Martin Weber, 2005. "Investment Decisions and Time Horizon: Risk Perception and Risk Behavior in Repeated Gambles," Management Science, INFORMS, vol. 51(12), pages 1777-1790, December.
    3. Klaus Abbink & Bettina Rockenbach, 2006. "Option pricing by students and professional traders: a behavioural investigation," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 27(6), pages 497-510.
    4. Haipeng (Allan) Chen & Akshay R. Rao, 2007. "When Two Plus Two Is Not Equal to Four: Errors in Processing Multiple Percentage Changes," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 34(3), pages 327-340, June.
    5. Shlomo Benartzi & Richard H. Thaler, 1999. "Risk Aversion or Myopia? Choices in Repeated Gambles and Retirement Investments," Management Science, INFORMS, vol. 45(3), pages 364-381, March.
    6. Gneezy, U., 1996. "Probability Judgements in Multi-Stage Problems : Experimental Evidence of Systematic Biases," Discussion Paper 1996-01, Tilburg University, Center for Economic Research.
    7. Victor Stango & Jonathan Zinman, 2009. "Exponential Growth Bias and Household Finance," Journal of Finance, American Finance Association, vol. 64(6), pages 2807-2849, December.
    8. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
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    More about this item

    Keywords

    Skewness; belief biases; binomial tree;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D3 - Microeconomics - - Distribution

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