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Hyperbolic Discounting Is Rational: Valuing the Far Future with Uncertain Discount Rates

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Author Info
J. Doyne Farmer (Sante Fe Institute)
John Geanakoplos () (Cowles Foundation, Yale University)
Abstract

Conventional economics supposes that agents value the present vs. the future using an exponential discounting function. In contrast, experiments with animals and humans suggest that agents are better described as hyperbolic discounters, whose discount function decays much more slowly at large times, as a power law. This is generally regarded as being time inconsistent or irrational. We show that when agents cannot be sure of their own future one-period discount rates, then hyperbolic discounting can become rational and exponential discounting irrational. This has important implications for environmental economics, as it implies a much larger weight for the far future.

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File URL: http://cowles.econ.yale.edu/P/cd/d17a/d1719.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1719.

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Length: 17 pages
Date of creation: Aug 2009
Date of revision:
Handle: RePEc:cwl:cwldpp:1719

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Related research
Keywords: Hyperbolic discounting; Environment; Time consistent; Exponential discounting; Geometric random walk; Term structure of interest rates;

Find related papers by JEL classification:
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

This paper has been announced in the following NEP Reports:

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  1. Economic Logic blog
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Newell, Richard G. & Pizer, William A., 2003. "Discounting the distant future: how much do uncertain rates increase valuations?," Journal of Environmental Economics and Management, Elsevier, vol. 46(1), pages 52-71, July. [Downloadable!] (restricted)
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  3. Ted O'Donoghue & Matthew Rabin, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March. [Downloadable!] (restricted)
  4. Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November. [Downloadable!] (restricted)
  5. Ho, Thomas S Y & Lee, Sang-bin, 1986. " Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-29, December. [Downloadable!] (restricted)
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