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Asset pricing with uncertain betas: A long-term perspective

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  • Gollier, Christian

Abstract

How should one evaluate investment projects whose CCAPM betas are uncertain? This question is particularly crucial for projects yielding long-lasting impacts on the economy, as is the case for example for many green investment projects. We defined the notion of a certainty equivalent beta. We characterize it as a function of the characteristics of the uncertainties affecting the asset’s beta and the economy as a whole. We show that its term structure is not constant and that, for short maturities, it equals the expected beta. If the expected beta is larger than a threshold (which is negative and large in absolute value in all realistic calibrations), the term structure of the certainty equivalent beta is increasing and tends to its largest plausible value. In the benchmark case in which the asset’s beta is normally distributed, the certainty equivalent beta becomes infinite for finite maturities.

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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 12-354.

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Date of creation: Nov 2012
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Handle: RePEc:tse:wpaper:26543

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Keywords: asset prices; term structure; risk premium; certainty equivalent beta.;

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  1. Weitzman, Martin L., 2009. "On Modeling and Interpreting the Economics of Catastrophic Climate Change," Scholarly Articles 3693423, Harvard University Department of Economics.
  2. Christian Gollier, 2012. "Evaluation of Long-Dated Investments under Uncertain Growth Trend, Volatility and Catastrophes," CESifo Working Paper Series 4052, CESifo Group Munich.
  3. Gollier, Christian, 2009. "Ecological Discounting," IDEI Working Papers 524, Institut d'Économie Industrielle (IDEI), Toulouse.
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