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The Social Cost of Carbon under Climate Volatility Risk

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  • van Wijnbergen, Sweder
  • Lin, Xu

Abstract

We calculate the social cost of carbon (SCC) under stochastic climate volatility resulting from uncertainty about future climate risk regimes where weather extremes are becoming more frequent and intense. Using a stochastic dynamic integrated climate-economy model where representative agents are endowed with Duffie-Epstein recursive preferences, we find that climate volatility risks substantially increase the SCC both in the business-as-usual and optimal abatement policy scenario. We also show that switching to a regime with more intense disasters increases the SCC more than a switch to a regime with more frequent disasters for equal expected value. Overall we show that \textit{stochastic volatility} has a major impact on the SCC.

Suggested Citation

  • van Wijnbergen, Sweder & Lin, Xu, 2023. "The Social Cost of Carbon under Climate Volatility Risk," CEPR Discussion Papers 18210, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:18210
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    1. Robert J. Barro & Tao Jin, 2011. "On the Size Distribution of Macroeconomic Disasters," Econometrica, Econometric Society, vol. 79(5), pages 1567-1589, September.
    2. Olijslagers, Stan & van der Ploeg, Frederick & van Wijnbergen, Sweder, 2023. "On current and future carbon prices in a risky world," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    3. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    4. van Wijnbergen, Sweder & Olijslagers, Stan, 2019. "Discounting the Future: on Climate Change, Ambiguity Aversion and Epstein-Zin Preferences," CEPR Discussion Papers 13708, C.E.P.R. Discussion Papers.
    5. Vikki Thompson & Nick J. Dunstone & Adam A. Scaife & Doug M. Smith & Julia M. Slingo & Simon Brown & Stephen E. Belcher, 2017. "High risk of unprecedented UK rainfall in the current climate," Nature Communications, Nature, vol. 8(1), pages 1-6, December.
    6. Jerry Tsai & Jessica A. Wachter, 2015. "Disaster Risk and its Implications for Asset Pricing," NBER Working Papers 20926, National Bureau of Economic Research, Inc.
    7. Ton S. van den Bremer & Frederick van der Ploeg, 2021. "The Risk-Adjusted Carbon Price," American Economic Review, American Economic Association, vol. 111(9), pages 2782-2810, September.
    8. Åsa Johansson & Yvan Guillemette & Fabrice Murtin & David Turner & Giuseppe Nicoletti & Christine de la Maisonneuve & Guillaume Bousquet & Francesca Spinelli, 2012. "Looking to 2060: Long-Term Global Growth Prospects: A Going for Growth Report," OECD Economic Policy Papers 3, OECD Publishing.
    9. Robert E. Kopp & Rachael Shwom & Gernot Wagner & Jiacan Yuan, 2016. "Tipping elements and climate-economic shocks: Pathways toward integrated assessment," Papers 1603.00850, arXiv.org, revised Jul 2016.
    10. Timothy Lenton & Juan-Carlos Ciscar, 2013. "Integrating tipping points into climate impact assessments," Climatic Change, Springer, vol. 117(3), pages 585-597, April.
    11. Derek Lemoine & Christian Traeger, 2014. "Watch Your Step: Optimal Policy in a Tipping Climate," American Economic Journal: Economic Policy, American Economic Association, vol. 6(1), pages 137-166, February.
    12. Gjerde, Jon & Grepperud, Sverre & Kverndokk, Snorre, 1999. "Optimal climate policy under the possibility of a catastrophe," Resource and Energy Economics, Elsevier, vol. 21(3-4), pages 289-317, August.
    13. Martin Lettau & Sydney C. Ludvigson & Jessica A. Wachter, 2008. "The Declining Equity Premium: What Role Does Macroeconomic Risk Play?," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1653-1687, July.
    14. Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, vol. 19(2), pages 351-372, December.
    15. Jerry Tsai & Jessica A. Wachter, 2015. "Disaster Risk and Its Implications for Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 219-252, December.
    16. Linus Mattauch & Richard Millar & Rick van der Ploeg & Armon Rezai & Anselm Schultes & Frank Venmans & Nico Bauer & Simon Dietz & Ottmar Edenhofer & Niall Farrell & Cameron Hepburn & Gunnar Luderer & , 2018. "Steering the Climate System: An Extended Comment," CESifo Working Paper Series 7414, CESifo.
      • Mattauch, Linus & Hepburn, Cameron & Millar, Richard & van der Ploeg, Frederick & Rezai, Armon & Schultes, Anselm & Venmans, Frank & Bauer, Nico & Dietz, Simon & Edenhofer, Ottmar & Farrell, Niall & L, 2018. "Steering the climate system: an extended comment," INET Oxford Working Papers 2018-17, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
    17. Bjørn Eraker & Aoxiang Yang, 2022. "The Price of Higher Order Catastrophe Insurance: The Case of VIX Options," Journal of Finance, American Finance Association, vol. 77(6), pages 3289-3337, December.
    18. Christos Karydas & Anastasios Xepapadeas, 2019. "Pricing climate change risks: CAPM with rare disasters and stochastic probabilities," CER-ETH Economics working paper series 19/311, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    19. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    20. Yongyang Cai & Thomas S. Lontzek, 2019. "The Social Cost of Carbon with Economic and Climate Risks," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2684-2734.
    21. Robert J. Barro, 2009. "Rare Disasters, Asset Prices, and Welfare Costs," American Economic Review, American Economic Association, vol. 99(1), pages 243-264, March.
    22. 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.
    23. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    24. Bjørn Eraker & Michael Johannes & Nicholas Polson, 2003. "The Impact of Jumps in Volatility and Returns," Journal of Finance, American Finance Association, vol. 58(3), pages 1269-1300, June.
    25. H. Damon Matthews & Nathan P. Gillett & Peter A. Stott & Kirsten Zickfeld, 2009. "The proportionality of global warming to cumulative carbon emissions," Nature, Nature, vol. 459(7248), pages 829-832, June.
    26. Robert S. Pindyck & Neng Wang, 2013. "The Economic and Policy Consequences of Catastrophes," American Economic Journal: Economic Policy, American Economic Association, vol. 5(4), pages 306-339, November.
    27. Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-155, January.
    28. Ole E. Barndorff‐Nielsen & Neil Shephard, 2001. "Non‐Gaussian Ornstein–Uhlenbeck‐based models and some of their uses in financial economics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 167-241.
    29. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
    30. Kevin Rennert & Frank Errickson & Brian C. Prest & Lisa Rennels & Richard G. Newell & William Pizer & Cora Kingdon & Jordan Wingenroth & Roger Cooke & Bryan Parthum & David Smith & Kevin Cromar & Dela, 2022. "Comprehensive evidence implies a higher social cost of CO2," Nature, Nature, vol. 610(7933), pages 687-692, October.
    31. Thomas S. Lontzek & Yongyang Cai & Kenneth L. Judd & Timothy M. Lenton, 2015. "Stochastic integrated assessment of climate tipping points indicates the need for strict climate policy," Nature Climate Change, Nature, vol. 5(5), pages 441-444, May.
    32. 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.
    33. Hambel, Christoph & Kraft, Holger & Schwartz, Eduardo, 2021. "Optimal carbon abatement in a stochastic equilibrium model with climate change," European Economic Review, Elsevier, vol. 132(C).
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    More about this item

    Keywords

    stochastic volatility;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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