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Evaluating Time Streams of Income: Discounting What?

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  • Manel Baucells
  • Rakesh Sarin

Abstract

For decisions whose consequences accrue over time, there are several possible techniques to compute total utility. One is to discount utilities of future consequences at some appropriate rate. The second is to discount per-period certainty equivalents. And the third is to compute net present values (NPVs) of various possible streams and to then apply the utility function to these net present values. We find that the best approach is to first compute NPVs of various possible income streams and then take the utility of such NPVs. We show the drawbacks of other alternative models of evaluating income streams. The article discusses the advantages of the power and logarithmic forms in the modeling of time preference. These are the only forms for which utility of income and utility of consumption are strategically equivalent. Further, these forms permit the flexibility in the choice of a time period (e.g., monthly or quarterly) without modifying the utility function, thus simplifying analysis. Copyright Springer Science+Business Media LLC 2007

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  • Manel Baucells & Rakesh Sarin, 2007. "Evaluating Time Streams of Income: Discounting What?," Theory and Decision, Springer, vol. 63(2), pages 95-120, September.
    • Handle: RePEc:kap:theord:v:63:y:2007:i:2:p:95-120
    DOI: 10.1007/s11238-007-9045-3
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    References listed on IDEAS

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    1. James S. Dyer & Rakesh K. Sarin, 1982. "Relative Risk Aversion," Management Science, INFORMS, vol. 28(8), pages 875-886, August.
    2. Bell, David E, 1974. "Evaluating time streams of income," Omega, Elsevier, vol. 2(5), pages 691-699, October.
    3. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    4. James E. Smith, 1998. "Evaluating Income Streams: A Decision Analysis Approach," Management Science, INFORMS, vol. 44(12-Part-1), pages 1690-1708, December.
    5. Peter A. Diamond & Tjalling C. Koopmans & Richard E. Williamson, 1962. "Stationary Utility and Time Preference," Cowles Foundation Discussion Papers 142, Cowles Foundation for Research in Economics, Yale University.
    6. Manel Baucells & Rakesh K. Sarin, 2007. "Satiation in Discounted Utility," Operations Research, INFORMS, vol. 55(1), pages 170-181, February.
    7. Christian Gollier, 2004. "The Economics of Risk and Time," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262572249, December.
    8. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
    9. MOSSIN, Jan, 1968. "Optimal multiperiod portfolio policies," LIDAM Reprints CORE 19, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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