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Intertemporal Utility and Correlation Aversion

Author

Listed:
  • Steffen Andersen

    (Copenhagen Business School)

  • Glenn W. Harrison

    (Robinson College of Business, Georgia State University)

  • Morten Lau

    (Durham Business School)

  • Elisabet E. Rutstroem

    (Robinson College of Business, Georgia State University)

Abstract

Convenient assumptions about qualitative properties of the intertemporal utility function have generated counter-intuitive implications for the relationship between atemporal risk aversion and the intertemporal elasticity of substitution. If the intertemporal utility function is additively separable then the latter two concepts are the inverse of each other. We review a simple theoretical specification with a long lineage in the literature on multi-attribute utility, and demonstrate the critical role of a concept known as intertemporal risk aversion or intertemporal correlation aversion. This concept is the intertemporal analogue of a more general concept applied to two attributes of utility, but where the attributes just happen to be the time-dating of the good. In the context of intertemporal utility functions, the concept provides an intuitive explanation of possible differences between (the inverse of) atemporal risk aversion and the intertemporal elasticity of substitution. We use this theoretical structure to guide the design of a series of experiments that allow us to identify and estimate intertemporal correlation aversion. Our results show that subjects are correlation averse over lotteries with intertemporal income profiles, and that the convenient additive specification of the intertemporal utility function is not an appropriate representation of preferences over time.

Suggested Citation

  • Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Intertemporal Utility and Correlation Aversion," Working Papers 2011_03, Durham University Business School.
    • Handle: RePEc:dur:durham:2011_03
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    Citations

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    Cited by:

    1. Kenneth C. Lichtendahl & Samuel E. Bodily, 2012. "Multiplicative Utilities for Health and Consumption," Decision Analysis, INFORMS, vol. 9(4), pages 314-328, December.
    2. Cheung, Stephen L., 2016. "Recent developments in the experimental elicitation of time preference," Journal of Behavioral and Experimental Finance, Elsevier, vol. 11(C), pages 1-8.
    3. Ubfal, Diego, 2016. "How general are time preferences? Eliciting good-specific discount rates," Journal of Development Economics, Elsevier, vol. 118(C), pages 150-170.
    4. Drichoutis, Andreas C. & Nayga, Rodolfo M., 2013. "Eliciting risk and time preferences under induced mood states," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 45(C), pages 18-27.
    5. Ordine, Patrizia & Rose, Giuseppe, 2017. "On the State and Wealth dependence of risk aversion: An analysis using severance pay allocation," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 156-171.
    6. Christoph Heinzel, 2014. "Term structure of discount rates under multivariate s-ordered consumption growth," Working Papers SMART 14-01, INRAE UMR SMART.
    7. Pierre Picard, 2016. "A Note on Health Insurance under Ex Post Moral Hazard," Risks, MDPI, vol. 4(4), pages 1-9, October.
    8. Filiz-Ozbay, Emel & Guryan, Jonathan & Hyndman, Kyle & Kearney, Melissa & Ozbay, Erkut Y., 2015. "Do lottery payments induce savings behavior? Evidence from the lab," Journal of Public Economics, Elsevier, vol. 126(C), pages 1-24.
    9. Jingyuan Li & Georges Dionne, 2010. "A Theoretical Extension of the Consumption-based CAPM Model," Cahiers de recherche 1047, CIRPEE.
    10. Georges Dionne & Jingyuan Li & Cedric Okou, 2012. "An Extension of the Consumption-based CAPM Model," Cahiers de recherche 1214, CIRPEE.
    11. Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    12. Kechagia, Varvara & Drichoutis, Andreas C., 2016. "The effect of olfactory sensory cues on economic decision making," MPRA Paper 75293, University Library of Munich, Germany.
    13. Steffen Andersen & James C. Cox & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem & Vjollca Sadiraj, 2011. "Asset Integration and Attitudes to Risk: Theory and Evidence," Working Papers 2011_10, Durham University Business School.
    14. AJ A. Bostian & Christoph Heinzel, 2016. "Consumption Smoothing and Precautionary Saving under Recursive Preferences," FOODSECURE Working papers 44, LEI Wageningen UR.
    15. Mark Schneider, 2016. "Dual Process Utility Theory: A Model of Decisions Under Risk and Over Time," Working Papers 16-23, Chapman University, Economic Science Institute.
    16. 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.
    17. Antoine Bommier, 2013. "Life-Cycle Preferences Revisited," Journal of the European Economic Association, European Economic Association, vol. 11(6), pages 1290-1319, December.
    18. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    19. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet E., 2014. "Dual criteria decisions," Journal of Economic Psychology, Elsevier, vol. 41(C), pages 101-113.
      • Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet, 2009. "Dual Criteria Decisions," Working Papers 02-2009, Copenhagen Business School, Department of Economics.
    20. Andreas C. Drichoutis & Rodolfo M. Nayga, 2015. "Do risk and time preferences have biological roots?," Southern Economic Journal, John Wiley & Sons, vol. 82(1), pages 235-256, July.
    21. Drichoutis, Andreas & Nayga, Rodolfo, 2013. "A reconciliation of time preference elicitation methods," MPRA Paper 46916, University Library of Munich, Germany, revised 12 May 2013.
    22. Figueroa, Eugenio & Pastén, Roberto, 2015. "Beyond additive preferences: Economic behavior and the income pollution path," Resource and Energy Economics, Elsevier, vol. 41(C), pages 91-102.
    23. Mark Schneider, 2018. "A Dual System Model of Risk and Time Preferences," Working Papers 18-18, Chapman University, Economic Science Institute.
    24. Cheung, Stephen L., 2012. "Risk Preferences Are Not Time Preferences: Comment," IZA Discussion Papers 6762, Institute of Labor Economics (IZA).

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