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A theory of endogenous time preference, and discounted utility anomalies

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Author Info

  • Svetlana Boyarchenko

    (The University of Texas at Austin)

  • Sergei Levendorskii

    (The University of Texas at Austin)

Abstract

We explain essentially all known discounted utility anomalies as artefacts of the optimizing behavior of an individual with a time- separable utility function, who perceives a good as a source of a stochastic consumption stream, and believes that she can wait for an optimal moment to buy or sell the good. For this individual, the fair price of the corresponding utility stream is interpreted as an integral of a deterministic utility stream multiplied by certain non-exponential factors which we interpret as endogenous discount factors; the factors are different for gains and losses, and depend on the utility function and underlying uncertainty. We provide analytic expressions and numerical examples for discount factors assuming simple utility functions and gaussian uncertainty.

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File URL: http://128.118.178.162/eps/mic/papers/0506/0506005.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Microeconomics with number 0506005.

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Length: 33 pages
Date of creation: 13 Jun 2005
Date of revision:
Handle: RePEc:wpa:wuwpmi:0506005

Note: Type of Document - pdf; pages: 33
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Web page: http://128.118.178.162

Related research

Keywords: Time preference; discounted utility anomalies; decision-making under uncertainty; optimal stopping;

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References

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  1. Svetlana Boyarchenko & Sergei Levendorskii, 2005. "American options: the EPV pricing model," Annals of Finance, Springer, vol. 1(3), pages 267-292, 08.
  2. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  3. Sergey Levendorskiy & Svetlana Boyarchenko, 2004. "Practical guide to real options in discrete time," Computing in Economics and Finance 2004 137, Society for Computational Economics.
  4. Drew Fudenberg & David K Levine, 2005. "A Dual Self Model of Impulse Control," Levine's Working Paper Archive 618897000000000876, David K. Levine.
  5. Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May.
  6. 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.
  7. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  8. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
  9. Svetlana Boyarchenko, 2004. "Irreversible Decisions and Record-Setting News Principles," American Economic Review, American Economic Association, vol. 94(3), pages 557-568, June.
  10. Lowenstein, George & Prelec, Drazen, 1991. "Negative Time Preference," American Economic Review, American Economic Association, vol. 81(2), pages 347-52, May.
  11. Boyarchenko, Svetlana & Levendorskii[caron], Sergei, 2007. "Optimal stopping made easy," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 201-217, February.
  12. Efe A Ok & Yusufcan Masatlioglu, 2003. "A General Theory of Time Preferences," Levine's Bibliography 234936000000000089, UCLA Department of Economics.
  13. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
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Cited by:
  1. Gomes, Orlando, 2007. "Socially determined time preference in discrete time," MPRA Paper 3442, University Library of Munich, Germany.

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