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Preferences over sequences of payments: A new validation of the q-exponential discounting

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  • Rambaud, Salvador Cruz
  • Pascual, Joaquín López
  • de los Ángeles del Pino Álvarez, María

Abstract

The preference for incremental gains, or the improving sequence effect, has been presented as one of the most important anomalies in intertemporal choice. Usually, the experiments to verify this effect have been based on sequences of incomes, and most of them have shown a preference for an increasing sequence. The objective of this paper is to analyse this topic in the context of loan repayment plans where a preference for constant and decreasing over rising payments is expected. The methodology applied in this paper is based on the use of questionnaires in the same way as Hoelzl et al. (2011) to evaluate different loan plans with the same interest rates and durations. It clearly shows that people prefer those plans which repay more at the beginning of the loan duration. Thus, the main contribution of this paper is the use of the q-exponential discounting to explain this revealed decreasing sequence effect because the q-exponential discount function can exhibit the inconsistency in intertemporal choices based on a decreasing interest rate. Finally, recommendations are made for banking institutions when considering their strategies of interest rate offers in the context of bank marketing.

Suggested Citation

  • Rambaud, Salvador Cruz & Pascual, Joaquín López & de los Ángeles del Pino Álvarez, María, 2019. "Preferences over sequences of payments: A new validation of the q-exponential discounting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 332-345.
  • Handle: RePEc:eee:phsmap:v:515:y:2019:i:c:p:332-345
    DOI: 10.1016/j.physa.2018.09.169
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    References listed on IDEAS

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    1. Hoelzl, Erik & Kamleitner, Bernadette & Kirchler, Erich, 2011. "Loan repayment plans as sequences of instalments," Journal of Economic Psychology, Elsevier, vol. 32(4), pages 621-631, August.
    2. Richard H. Thaler, 2008. "Mental Accounting and Consumer Choice," Marketing Science, INFORMS, vol. 27(1), pages 15-25, 01-02.
    3. Duxbury, Darren & Summers, Barbara & Hudson, Robert & Keasey, Kevin, 2013. "How people evaluate defined contribution, annuity-based pension arrangements: A behavioral exploration," Journal of Economic Psychology, Elsevier, vol. 34(C), pages 256-269.
    4. Richard H. Thaler, 2008. "Commentary—Mental Accounting and Consumer Choice: Anatomy of a Failure," Marketing Science, INFORMS, vol. 27(1), pages 12-14, 01-02.
    5. repec:cup:judgdm:v:8:y:2013:i:1:p:74-90 is not listed on IDEAS
    6. Cajueiro, Daniel O., 2006. "A note on the relevance of the q-exponential function in the context of intertemporal choices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 385-388.
    7. Drazen Prelec & George Loewenstein, 1998. "The Red and the Black: Mental Accounting of Savings and Debt," Marketing Science, INFORMS, vol. 17(1), pages 4-28.
    8. Matsumoto, Dawn & Peecher, Mark E. & Rich, Jay S., 2000. "Evaluations of Outcome Sequences," Organizational Behavior and Human Decision Processes, Elsevier, vol. 83(2), pages 331-352, November.
    9. Guyse, Jeffery L. & Keller, L. Robin & Eppel, Thomas, 2002. "Valuing Environmental Outcomes: Preferences for Constant or Improving Sequences," Organizational Behavior and Human Decision Processes, Elsevier, vol. 87(2), pages 253-277, March.
    10. Overton, Annemarije A. & MacFadyen, Alan J., 1998. "Time discounting and the estimation of loan duration," Journal of Economic Psychology, Elsevier, vol. 19(5), pages 607-618, October.
    11. Takahashi, Taiki & Oono, Hidemi & Radford, Mark H.B., 2007. "Empirical estimation of consistency parameter in intertemporal choice based on Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 338-342.
    12. Loewenstein, George & Thaler, Richard H, 1989. "Intertemporal Choice," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 181-193, Fall.
    13. 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.
    14. Gómez-Miñambres, Joaquín & Schniter, Eric, 2017. "Emotional calibration of self-control," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 68(C), pages 110-118.
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    1. Cruz Rambaud, Salvador & Ortiz Fernández, Piedad & Parra Oller, Isabel María, 2023. "A systematic review of the main anomalies in intertemporal choice," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 104(C).

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    More about this item

    Keywords

    Econophysics; Loan plan; Intertemporal choice; Anomaly; Sequence effect; q-exponential discounting; Bank marketing;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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