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Conventional or Reverse Magnitude Effect for Negative Outcomes: A Matter of Framing

Author

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  • Breuer, Wolfgang

    (RWTH Aachen University, Department of Finance, Aachen, Germany)

  • Soypak, Can K.

    (RWTH Aachen University, Department of Finance, Aachen, Germany)

  • Steininger, Bertram

    (Department of Real Estate and Construction Management, Royal Institute of Technology)

Abstract

We present and expand existing theories about why individuals may assess positive outcomes differently from negative outcomes in intertemporal choices. All of our theories – based on utility or cost considerations – predict a conventional magnitude effect for positive outcomes, i.e., a negative relation between outcome size and subjective discount rates. For negative outcomes, however, implications are different for utility- and cost-based approaches. We argue that the relevance of utility-based aspects is strengthened in a money frame, leading to a conventional magnitude effect even for negative outcomes, whereas cost-based considera¬tions gain in importance in an interest rate frame, implying, in contrast, a “reverse” magnitude effect, i.e. higher discount rates for (absolutely) higher outcome size. By conducting a web-based experiment with 676 participants, we confirm our theoretical findings and conclude: the conventional magnitude effect prevails for positive outcomes in the money and the interest rate frame and for negative outcomes in the money frame. However, there is a reverse magnitude effect for negative outcomes in the interest rate frame. Our results might help to better understand prevailing magnitude effects in practical applications and might also be apt to derive suggestions for better designing of intertemporal decision problems.

Suggested Citation

  • Breuer, Wolfgang & Soypak, Can K. & Steininger, Bertram, 2020. "Conventional or Reverse Magnitude Effect for Negative Outcomes: A Matter of Framing," Working Paper Series 20/16, Royal Institute of Technology, Department of Real Estate and Construction Management & Banking and Finance.
  • Handle: RePEc:hhs:kthrec:2020_016
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    References listed on IDEAS

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    1. David M. Grether & James C. Cox, 1996. "The preference reversal phenomenon: Response mode, markets and incentives (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 381-405.
    2. Wolfgang Breuer & Can K. Soypak & Bertram I. Steininger, 2020. "Magnitude effects in lending and borrowing: empirical evidence from a P2P platform," The European Journal of Finance, Taylor & Francis Journals, vol. 26(9), pages 854-873, June.
    3. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten I. & Rutström, E. Elisabet, 2014. "Discounting behavior: A reconsideration," European Economic Review, Elsevier, vol. 71(C), pages 15-33.
    4. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    5. Jerry A. Hausman, 1979. "Individual Discount Rates and the Purchase and Utilization of Energy-Using Durables," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 33-54, Spring.
    6. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-1162, June.
    7. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    8. Uri Benzion & Amnon Rapoport & Joseph Yagil, 1989. "Discount Rates Inferred from Decisions: An Experimental Study," Management Science, INFORMS, vol. 35(3), pages 270-284, March.
    9. Viscusi, W. Kip & Moore, Michael J., 1989. "Rates of time preference and valuations of the duration of life," Journal of Public Economics, Elsevier, vol. 38(3), pages 297-317, April.
    10. 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.
    11. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    12. Richard H. Thaler & Eric J. Johnson, 1990. "Gambling with the House Money and Trying to Break Even: The Effects of Prior Outcomes on Risky Choice," Management Science, INFORMS, vol. 36(6), pages 643-660, June.
    13. Benhabib, Jess & Bisin, Alberto & Schotter, Andrew, 2010. "Present-bias, quasi-hyperbolic discounting, and fixed costs," Games and Economic Behavior, Elsevier, vol. 69(2), pages 205-223, July.
    14. Daniel Read & Shane Frederick & Burcu Orsel & Juwaria Rahman, 2005. "Four Score and Seven Years from Now: The Date/Delay Effect in Temporal Discounting," Management Science, INFORMS, vol. 51(9), pages 1326-1335, September.
    15. Steffen Andersen & Glenn Harrison & Morten Lau & E. Rutström, 2009. "Elicitation using multiple price list formats," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 365-366, September.
    16. Noor, Jawwad, 2011. "Intertemporal choice and the magnitude effect," Games and Economic Behavior, Elsevier, vol. 72(1), pages 255-270, May.
    17. Harrison, Glenn W, 1994. "Expected Utility Theory and the Experimentalists," Empirical Economics, Springer, vol. 19(2), pages 223-253.
    18. Victor Stango & Jonathan Zinman, 2009. "Exponential Growth Bias and Household Finance," Journal of Finance, American Finance Association, vol. 64(6), pages 2807-2849, December.
    19. Shefrin, Hersh M & Thaler, Richard H, 1988. "The Behavioral Life-Cycle Hypothesis," Economic Inquiry, Western Economic Association International, vol. 26(4), pages 609-643, October.
    20. 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.
    21. Saul Pleeter & John T. Warner, 2001. "The Personal Discount Rate: Evidence from Military Downsizing Programs," American Economic Review, American Economic Association, vol. 91(1), pages 33-53, March.
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    Cited by:

    1. Corneille, O. & D’Hondt, C. & De Winne, R. & Efendic, E. & Todorovic, A., 2021. "What leads people to tolerate negative interest rates on their savings?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).

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    More about this item

    Keywords

    Discounting anomalies; Intertemporal choice; Framing; Magnitude effect; Reverse magnitude effect;
    All these keywords.

    JEL classification:

    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G02 - Financial Economics - - General - - - Behavioral Finance: Underlying Principles
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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