IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/20230032.html
   My bibliography  Save this paper

The Social Cost of Carbon under Climate Volatility Risk

Author

Listed:
  • Xu Lin

    (University of Amsterdam)

  • Sweder van Wijnbergen

    (University of Amsterdam)

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 stochastic volatility has a major impact on the SCC.Classification-JEL: G12, G13, Q51, Q54

Suggested Citation

  • Xu Lin & Sweder van Wijnbergen, "undated". "The Social Cost of Carbon under Climate Volatility Risk," Tinbergen Institute Discussion Papers 23-032/IV, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20230032
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/23032.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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?," 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," 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).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stan Olijslagers & Sweder van Wijnbergen, 2019. "Discounting the Future: on Climate Change, Ambiguity Aversion and Epstein-Zin Preferences," Tinbergen Institute Discussion Papers 19-030/VI, Tinbergen Institute.
    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. Karydas, Christos & Xepapadeas, Anastasios, 2022. "Climate change financial risks: Implications for asset pricing and interest rates," Journal of Financial Stability, Elsevier, vol. 63(C).
    4. Christos Karydas & Anastasios Xepapadeas, 2019. "Climate change risks: pricing and portfolio allocation," CER-ETH Economics working paper series 19/327, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    5. Sang Byung Seo & Jessica A. Wachter, 2019. "Option Prices in a Model with Stochastic Disaster Risk," Management Science, INFORMS, vol. 65(8), pages 3449-3469, August.
    6. Frederick Ploeg, 2021. "Carbon pricing under uncertainty," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 28(5), pages 1122-1142, October.
    7. Christoph Hambel & Holger Kraft & Rick van der Ploeg, 2020. "Asset Diversification versus Climate Action," CESifo Working Paper Series 8476, CESifo.
    8. Thomas Douenne, 2020. "Disaster Risks, Disaster Strikes, and Economic Growth: the Role of Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 38, pages 251-272, October.
    9. Agliardi, Elettra & Agliardi, Rossella, 2021. "Pricing climate-related risks in the bond market," Journal of Financial Stability, Elsevier, vol. 54(C).
    10. Acharya, Viral & Johnson, Timothy & Sundaresan, Suresh & Zheng, Steven, 2020. "The Value of a Cure: An Asset Pricing Perspective," CEPR Discussion Papers 15558, C.E.P.R. Discussion Papers.
    11. Campiglio, Emanuele & Dietz, Simon & Venmans, Frank, 2022. "Optimal climate policy as if the transition matters," LSE Research Online Documents on Economics 117609, London School of Economics and Political Science, LSE Library.
    12. Rick Van der Ploeg & Christoph Hambel & Holger Kraft, 2020. "Asset Pricing and Decarbonization: Diversification versus Climate Action," Economics Series Working Papers 901, University of Oxford, Department of Economics.
    13. Hambel, Christoph & Kraft, Holger & Schwartz, Eduardo, 2021. "The social cost of carbon in a non-cooperative world," Journal of International Economics, Elsevier, vol. 131(C).
    14. Rick van der Ploeg, 2020. "Discounting and Climate Policy," CESifo Working Paper Series 8441, CESifo.
    15. Harrison Hong & Neng Wang & Jinqiang Yang, 2020. "Mitigating Disaster Risks in the Age of Climate Change," NBER Working Papers 27066, National Bureau of Economic Research, Inc.
    16. Kent D. Daniel & Robert B. Litterman & Gernot Wagner, 2016. "Applying Asset Pricing Theory to Calibrate the Price of Climate Risk," NBER Working Papers 22795, National Bureau of Economic Research, Inc.
    17. Frederick Ploeg & Aart Zeeuw, 2019. "Pricing Carbon and Adjusting Capital to Fend Off Climate Catastrophes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(1), pages 29-50, January.
    18. Sergeyev, Dmitriy & Mehrotra, Neil, 2020. "Debt Sustainability in a Low Interest Rate World," CEPR Discussion Papers 15282, C.E.P.R. Discussion Papers.
    19. Dergunov, Ilya & Meinerding, Christoph & Schlag, Christian, 2019. "Extreme inflation and time-varying consumption growth," Discussion Papers 16/2019, Deutsche Bundesbank.
    20. Dominika Czyz & Karolina Safarzynska, 2023. "Catastrophic Damages and the Optimal Carbon Tax Under Loss Aversion," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 85(2), pages 303-340, June.

    More about this item

    Keywords

    stochastic volatility; social cost of carbon; climate damage; Duffie-Epstein preference;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tin:wpaper:20230032. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.