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Should we discount the far-distant future at its lowest possible rate?

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  • GOLLIER Christian

Abstract

In this paper, we elaborate on an idea initially developed by Weitzman (1998) that justifies taking the lowest possible discount rate for far-distant future cash flows. His argument relies on the arbitrary assumption that when the future rate of return of capital (RRC) is uncertain, one should invest in any project with a positive expected net present value. We examine an economy with a risk-averse representative agent facing an uncertain evolution of the RRC. In this context, we characterize the socially efficient stochastic consumption path, which allows us in turn to use the Ramsey rule to characterize the term structure of socially efficient discount rates. We show that Weitzman's claim is qualitatively correct if shocks on the RRC are persistent. On the contrary, in the absence of any serial correlation in the RRC, the term structure of discount rates should be flat.
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  • GOLLIER Christian, 2008. "Should we discount the far-distant future at its lowest possible rate?," LERNA Working Papers 08.30.274, LERNA, University of Toulouse.
  • Handle: RePEc:ler:wpaper:08.30.274
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    References listed on IDEAS

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    Cited by:

    1. Traeger, Christian P., 2012. "What's the Rate? Disentangling the Weitzman and the Gollier Effect," CUDARE Working Papers 121932, University of California, Berkeley, Department of Agricultural and Resource Economics.
    2. Patrice Loisel & Marielle Brunette & Stéphane Couture, 2020. "Insurance and Forest Rotation Decisions Under Storm Risk," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 76(2), pages 347-367, July.
    3. Gollier, Christian, 2010. "Expected net present value, expected net future value, and the Ramsey rule," Journal of Environmental Economics and Management, Elsevier, vol. 59(2), pages 142-148, March.
    4. Nicole El Karoui & Caroline Hillairet & Mohamed Mrad & El Karoui & Hillairet Caroline & Mrad Mohamed, 2014. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Working Papers hal-00974815, HAL.
    5. Freeman, Mark C. & Groom, Ben, 2016. "How certain are we about the certainty-equivalent long term social discount rate?," Journal of Environmental Economics and Management, Elsevier, vol. 79(C), pages 152-168.
    6. Iverson, Terrence, 2013. "Minimax regret discounting," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 598-608.
    7. Freeman, Mark C. & Groom, Ben & Panopoulou, Ekaterini & Pantelidis, Theologos, 2015. "Declining discount rates and the Fisher Effect: Inflated past, discounted future?," Journal of Environmental Economics and Management, Elsevier, vol. 73(C), pages 32-49.
    8. Weitzman, Martin L., 2010. "Risk-adjusted gamma discounting," Journal of Environmental Economics and Management, Elsevier, vol. 60(1), pages 1-13, July.
    9. Gollier, Christian & Weitzman, Martin L., 2010. "How should the distant future be discounted when discount rates are uncertain?," Economics Letters, Elsevier, vol. 107(3), pages 350-353, June.
    10. Szekeres, Szabolcs, 2017. "Checking Gollier and Weitzman's solution of the "Weitzman-Gollier puzzle"," Economics Discussion Papers 2017-11, Kiel Institute for the World Economy (IfW Kiel).
    11. Gollier, Christian & van der Ploeg, Frederick & Zheng, Jiakun, 2023. "The discounting premium puzzle: Survey evidence from professional economists," Journal of Environmental Economics and Management, Elsevier, vol. 122(C).
    12. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2014. "Ramsey Rule with Progressive utility and Long Term Affine Yields Curves," Post-Print hal-00974831, HAL.
    13. Freeman, Mark C., 2009. "Yes, we should discount the far-distant future at its lowest possible rate: a resolution of the Weitzman-Gollier puzzle," Economics Discussion Papers 2009-42, Kiel Institute for the World Economy (IfW Kiel).
    14. Nicole El Karoui & Caroline Hillairet & Mohamed Mrad, 2014. "Ramsey Rule with Progressive Utility in Long Term Yield Curves Modeling," Papers 1404.1895, arXiv.org.
    15. J. Bickel & Shubham Agrawal, 2013. "Reexamining the economics of aerosol geoengineering," Climatic Change, Springer, vol. 119(3), pages 993-1006, August.
    16. Traeger, Christian P., 2013. "Discounting under uncertainty: Disentangling the Weitzman and the Gollier effect," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 573-582.
    17. Freeman, Mark C. & Groom, Ben, 2016. "How certain are we about the certainty-equivalent longterm social discount rate?," LSE Research Online Documents on Economics 67258, London School of Economics and Political Science, LSE Library.
    18. Fridstrøm, Lasse & Østli, Vegard, 2017. "The vehicle purchase tax as a climate policy instrument," Transportation Research Part A: Policy and Practice, Elsevier, vol. 96(C), pages 168-189.
    19. Freeman, Mark C., 2010. "Yes, we should discount the far-distant future at its lowest possible rate: A resolution of the Weitzman-Gollier puzzle," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-21.
    20. Mark C. Freeman & Ben Groom, 2015. "Positively Gamma Discounting: Combining the Opinions of Experts on the Social Discount Rate," Economic Journal, Royal Economic Society, vol. 125(585), pages 1015-1024, June.
    21. Rajnish Mehra, 2013. "Asset Pricing Implications of Macroeconomic Interventions An Application to Climate Policy," NBER Working Papers 19146, National Bureau of Economic Research, Inc.
    22. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2014. "Ramsey Rule with Progressive utility and Long Term Affine Yields Curves," Papers 1404.1913, arXiv.org.
    23. Nicole El Karoui & Mohamed Mrad & Caroline Hillairet, 2014. "Ramsey Rule with Progressive utility and Long Term Affine Yields Curves," Working Papers hal-00974831, HAL.
    24. Traeger, Christian P., 2012. "What's the rate? Disentangling the Weitzman and the Gollier effect," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt88x3d1vw, Department of Agricultural & Resource Economics, UC Berkeley.
    25. Aguilar Ibarra, Alonso & Sánchez Vargas, Armando & Martínez López, Benjamín, 2013. "Economic impacts of climate change on two Mexican coastal fisheries: Implications for food security," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 7, pages 1-38.

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    More about this item

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects

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