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The Social Cost of Carbon with Intragenerational Inequality under Economic Uncertainty

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  • Rick van der Ploeg
  • Johannes Emmerling
  • Ben Groom

Abstract

A formula is derived for the social cost of carbon (SCC) that takes account of intragenerational income inequality and its evolution with economic growth. The social discount rate (SDR) should be adjusted to account for intragenerational and intergenerational inequality aversion and for risk aversion. If growth increases (reduces) intra-generational inequality, the SDR is lower (higher) and the SCC higher (lower) than along an inequality-neutral growth path, especially if intra-generational and intergenerational inequality aversion are higher. The same qualitative result is shown for two welfare specifications, one with a representative agent with equally distributed equivalent (EDE) income and the other considers individuals separately across the income distribution. The latter specification causes an additional impact of income inequality on the SDR and SCC because individuals are compared both within and between time periods. Our preferred EDE calibration to a scenario in which global intragenerational inequality declines over time, leads to a SCC in 2020 of $70/tCO2 compared to a value of $85/tCO2 without the effect of inequality.

Suggested Citation

  • Rick van der Ploeg & Johannes Emmerling & Ben Groom, 2022. "The Social Cost of Carbon with Intragenerational Inequality under Economic Uncertainty," CESifo Working Paper Series 9777, CESifo.
  • Handle: RePEc:ces:ceswps:_9777
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    1. Emmerling, Johannes & Groom, Ben & Wettingfeld, Tanja, 2017. "Discounting and the representative median agent," Economics Letters, Elsevier, vol. 161(C), pages 78-81.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Richard G. Newell & William A. Pizer & Brian C. Prest, 2022. "A Discounting Rule for the Social Cost of Carbon," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 9(5), pages 1017-1046.
    4. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801, January.
    5. Gollier, Christian, 2002. "Discounting an uncertain future," Journal of Public Economics, Elsevier, vol. 85(2), pages 149-166, August.
    6. Hope, Chris, 2008. "Discount rates, equity weights and the social cost of carbon," Energy Economics, Elsevier, vol. 30(3), pages 1011-1019, May.
    7. David Anthoff & Johannes Emmerling, 2019. "Inequality and the Social Cost of Carbon," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 6(2), pages 243-273.
    8. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    9. Samuel Fankhauser & Richard Tol & DAVID Pearce, 1997. "The Aggregation of Climate Change Damages: a Welfare Theoretic Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 10(3), pages 249-266, October.
    10. Jacobs, Bas & van der Ploeg, Frederick, 2019. "Redistribution and pollution taxes with non-linear Engel curves," Journal of Environmental Economics and Management, Elsevier, vol. 95(C), pages 198-226.
    11. David Klenert & Linus Mattauch & Emmanuel Combet & Ottmar Edenhofer & Cameron Hepburn & Ryan Rafaty & Nicholas Stern, 2018. "Making carbon pricing work for citizens," Nature Climate Change, Nature, vol. 8(8), pages 669-677, August.
    12. Christoph Lakner & Branko Milanovic, 2016. "Global Income Distribution: From the Fall of the Berlin Wall to the Great Recession," The World Bank Economic Review, World Bank, vol. 30(2), pages 203-232.
    13. Dietz, Simon & Venmans, Frank, 2019. "Cumulative carbon emissions and economic policy: In search of general principles," Journal of Environmental Economics and Management, Elsevier, vol. 96(C), pages 108-129.
    14. Branko Milanovic, 2012. "Global inequality recalculated and updated: the effect of new PPP estimates on global inequality and 2005 estimates," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(1), pages 1-18, March.
    15. Kornek, Ulrike & Klenert, David & Edenhofer, Ottmar & Fleurbaey, Marc, 2021. "The social cost of carbon and inequality: When local redistribution shapes global carbon prices," Journal of Environmental Economics and Management, Elsevier, vol. 107(C).
    16. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    17. Gernot Wagner & David Anthoff & Maureen Cropper & Simon Dietz & Kenneth T. Gillingham & Ben Groom & J. Paul Kelleher & Frances C. Moore & James H. Stock, 2021. "Eight priorities for calculating the social cost of carbon," Nature, Nature, vol. 590(7847), pages 548-550, February.
    18. Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
    19. Newell, Richard G. & Pizer, William A., 2003. "Discounting the distant future: how much do uncertain rates increase valuations?," Journal of Environmental Economics and Management, Elsevier, vol. 46(1), pages 52-71, July.
    20. Emmerling, Johannes, 2018. "Discounting and intragenerational equity," Environment and Development Economics, Cambridge University Press, vol. 23(1), pages 19-36, February.
    21. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    22. Peter H. Howard & Thomas Sterner, 2017. "Few and Not So Far Between: A Meta-analysis of Climate Damage Estimates," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(1), pages 197-225, September.
    23. Sterner, Thomas & Tol, Richard S. J. & Weitzman, Martin L. & Pizer, William A. & Portney, Paul R. & Arrow, Kenneth J. & Cropper, Maureen L. & Gollier, Christian & Groom, Ben & Heal, Geoffrey M. & Newe, 2014. "Should Governments Use a Declining Discount Rate in Project Analysis?," Scholarly Articles 33373349, Harvard University Department of Economics.
    24. William D. Nordhaus, 2011. "Estimates of the Social Cost of Carbon: Background and Results from the RICE-2011 Model," NBER Working Papers 17540, National Bureau of Economic Research, Inc.
    25. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    26. Frederick Ploeg, 2018. "The safe carbon budget," Climatic Change, Springer, vol. 147(1), pages 47-59, March.
    27. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
    28. Anthoff, David & Hepburn, Cameron & Tol, Richard S.J., 2009. "Equity weighting and the marginal damage costs of climate change," Ecological Economics, Elsevier, vol. 68(3), pages 836-849, January.
    29. 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.
    30. Kalkuhl, Matthias & Wenz, Leonie, 2020. "The impact of climate conditions on economic production. Evidence from a global panel of regions," Journal of Environmental Economics and Management, Elsevier, vol. 103(C).
    31. Myles R. Allen & David J. Frame & Chris Huntingford & Chris D. Jones & Jason A. Lowe & Malte Meinshausen & Nicolai Meinshausen, 2009. "Warming caused by cumulative carbon emissions towards the trillionth tonne," Nature, Nature, vol. 458(7242), pages 1163-1166, April.
    32. Christian P. Traeger, 2009. "Recent Developments in the Intertemporal Modeling of Uncertainty," Annual Review of Resource Economics, Annual Reviews, vol. 1(1), pages 261-285, September.
    33. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    34. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    35. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-436.
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    More about this item

    Keywords

    social discount rate; social cost of carbon; intra- and intergenerational inequality aversion; risk aversion; inequality; growth; uncertainty;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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