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Discount Factors Ex Post and Ex Ante, and Discounted Utility

Svetlana Boyarchenko

University of Texas at Austin - Department of Economics

Sergei Levendorskii

Calico Science Consulting

October 25, 2005

The real options approach is used to explain discounted utility anomalies as artifacts of the optimizing behavior of an individual with standard preferences, who perceives the utility from consumption in the future as uncertain. For this individual,waiting is valuable because uncertainty is revealed over time. The fair price (or compensation) that the individual agrees to pay (or accept) today is the expected value of utility of the future gain (or loss) multiplied by a certain non-exponential factor which we interpret as a discount factor ex ante. The factors ex ante are different for gains and losses, and depend on the utility function and underlying uncertainty. After the decision of exchange had been made, valuation ex post reduces to calculation of the standard expected present value. We provide analytic expressions and numerical examples for discount factors assuming different utility functions and models of uncertainty, and demonstrate that our explanation of discounted utility anomalies is robust.

Number of Pages in PDF File: 35

Keywords: real options, time preference, discounted utility anomalies

JEL Classification: D81, D91, C61

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Date posted: November 4, 2005  

Suggested Citation

Boyarchenko, Svetlana and Levendorskii, Sergei, Discount Factors Ex Post and Ex Ante, and Discounted Utility Anomalies (October 25, 2005). Available at SSRN: https://ssrn.com/abstract=836064 or http://dx.doi.org/10.2139/ssrn.836064

Contact Information

Svetlana I. Boyarchenko (Contact Author)
University of Texas at Austin - Department of Economics ( email )
Austin, TX 78712
United States
Sergei Z. Levendorskii
Calico Science Consulting ( email )
Austin, TX
United States
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