Evaluation of long-dated investments under uncertain growth trend, volatility and catastrophes
AbstractBecause of the uncertainty about how to model the growth process of our economy, there is still much confusion about which discount rates should be used to evaluate actions having long-lasting impacts, as in the contexts of climate change, social security reforms or large public infrastructures for example. We characterize efficient discount rates when the growth of log consumption follows a random walk with uncertain parameters. We examine different models in which the parametric uncertainty affects the trend and the volatility of growth, or the frequency of catastrophes. This uncertainty implies that the term structures of the risk free discount rate and of the aggregate risk premium are respectively decreasing and increasing. It also implies that the discount rate is increasing with maturity if the beta of the investment is larger than half of relative risk aversion. Another important consequence of parametric uncertainty is that the risk premium is not proportional to the beta of the investment. Finally, we apply our findings to the evaluation of climate change policy. We argue in particular that the beta of actions to mitigate climate change is relatively large, so that the term structure of the associated discount rates should be increasing.
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Bibliographic InfoPaper provided by Institut d'Économie Industrielle (IDEI), Toulouse in its series IDEI Working Papers with number 754.
Date of creation: Nov 2012
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asset prices; term structure; risk premium; decreasing discount rates; parametric uncertainty; CO2 beta; rare events; macroeconomic catastrophes.;
Other versions of this item:
- Gollier, Christian, 2012. "Evaluation of long-dated investments under uncertain growth trend, volatility and catastrophes," TSE Working Papers 12-361, Toulouse School of Economics (TSE).
- Christian Gollier, 2012. "Evaluation of Long-Dated Investments under Uncertain Growth Trend, Volatility and Catastrophes," CESifo Working Paper Series 4052, CESifo Group Munich.
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
- Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-19 (All new papers)
- NEP-ENE-2013-01-19 (Energy Economics)
- NEP-ENV-2013-01-19 (Environmental Economics)
- NEP-MAC-2013-01-19 (Macroeconomics)
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.:
- R. Mehra & E. Prescott, 2010.
"The equity premium: a puzzle,"
Levine's Working Paper Archive
1401, David K. Levine.
- David Backus & Mikhail Chernov & Ian Martin, 2009.
"Disasters Implied by Equity Index Options,"
09-14, New York University, Leonard N. Stern School of Business, Department of Economics.
- David Backus & Mikhail Chernov & Ian Martin, 2009. "Disasters implied by equity index options," NBER Working Papers 15240, National Bureau of Economic Research, Inc.
- Backus, David & Chernov, Mikhail & Martin, Ian, 2009. "Disasters implied by equity index options," CEPR Discussion Papers 7416, C.E.P.R. Discussion Papers.
- Miles S. Kimball, 1989.
"Precautionary Saving in the Small and in the Large,"
NBER Working Papers
2848, National Bureau of Economic Research, Inc.
- Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
- Gollier, Christian, 2008.
"Discounting with Fat-Tailed Economic Growth,"
Open Access publications from University of Toulouse 1 Capitole
http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- Laibson, David, 1997.
"Golden Eggs and Hyperbolic Discounting,"
The Quarterly Journal of Economics,
MIT Press, vol. 112(2), pages 443-77, May.
- Weil, Philippe, 1989.
"The equity premium puzzle and the risk-free rate puzzle,"
Journal of Monetary Economics,
Elsevier, vol. 24(3), pages 401-421, November.
- Phillippe Weil, 1997. "The Equity Premium Puzzle and the Risk-Free Rate Puzzle," Levine's Working Paper Archive 1833, David K. Levine.
- Philippe Weil, 1989. "The Equity Premium Puzzle and the Riskfree Rate Puzzle," NBER Working Papers 2829, National Bureau of Economic Research, Inc.
- Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
- Gollier, Christian, 2002. "Time Horizon and the Discount Rate," Journal of Economic Theory, Elsevier, vol. 107(2), pages 463-473, December.
- Barro, Robert, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," Scholarly Articles 3208215, Harvard University Department of Economics.
- Arrow, Kenneth J & Lind, Robert C, 1970. "Uncertainty and the Evaluation of Public Investment Decisions," American Economic Review, American Economic Association, vol. 60(3), pages 364-78, June.
- Robert J. Barro, 2007.
"Rare Disasters, Asset Prices, and Welfare Costs,"
NBER Working Papers
13690, National Bureau of Economic Research, Inc.
- Ravi Bansal & Amir Yaron, 2004.
"Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles,"
Journal of Finance,
American Finance Association, vol. 59(4), pages 1481-1509, 08.
- Ravi Bansal & Amir Yaron, 2000. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," NBER Working Papers 8059, National Bureau of Economic Research, Inc.
- Martin L. Weitzman, 2012. "Rare Disasters, Tail-Hedged Investments, and Risk-Adjusted Discount Rates," NBER Working Papers 18496, National Bureau of Economic Research, Inc.
- Martin L. Weitzman, 2009.
"Risk-Adjusted Gamma Discounting,"
NBER Working Papers
15588, National Bureau of Economic Research, Inc.
- Martin L. Weitzman, 2009.
"On Modeling and Interpreting the Economics of Catastrophic Climate Change,"
The Review of Economics and Statistics,
MIT Press, vol. 91(1), pages 1-19, February.
- Weitzman, Martin L., 2009. "On Modeling and Interpreting the Economics of Catastrophic Climate Change," Scholarly Articles 3693423, Harvard University Department of Economics.
- Martin L. Weitzman, 2007. "Subjective Expectations and Asset-Return Puzzles," American Economic Review, American Economic Association, vol. 97(4), pages 1102-1130, September.
- 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.
- Ian Martin, 2010. "Consumption-Based Asset Pricing with Higher Cumulants," NBER Working Papers 16153, National Bureau of Economic Research, Inc.
- Dreze, Jacques H. & Modigliani, Franco, 1972.
"Consumption decisions under uncertainty,"
Journal of Economic Theory,
Elsevier, vol. 5(3), pages 308-335, December.
- Dreze, Jacques, 1972. "Consumption decisions under uncertainty," Open Access publications from UniversitÃ© catholique de Louvain info:hdl:2078.1/87508, Université catholique de Louvain.
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