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The Welfare Cost of Ignoring the Beta

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  • Christian Gollier

    (Toulouse School of Economics, University of Toulouse-Capitole)

Abstract

Because of risk aversion, any sensible investment valuation system should value less projects that contribute more to the aggregate risk, i.e., that have a larger income elasticity of net benefits. In theory, this is done by adjusting discount rates to consumption betas. But in reality, for various reasons (Arrow-Lind and WACC fallacies, market failures), most public and private institutions and people use a discount rate that is rather insensitive to the risk profile of their investment projects. I show in this paper that the economic consequences of the implied misallocation of capital are dire. To do this, I calibrate a Lucas model in which the investment opportunity set contains a myriad of projects with different expected returns and risk profiles. The welfare loss of using a single discount rate is equivalent to a permanent reduction in consumption that lies somewhere between 15% and 45%, depending upon which familiar discounting system is used. Economists should devote more energy to support a reform of public discounting systems in favor of what has been advocated by the normative interpretation of modern asset pricing theories over the last four decades.

Suggested Citation

  • Christian Gollier, 2021. "The Welfare Cost of Ignoring the Beta," Working Papers 2021.03, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2021.03
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    References listed on IDEAS

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    1. Randolph B. Cohen & Christopher Polk & Tuomo Vuolteenaho, 2009. "The Price Is (Almost) Right," Journal of Finance, American Finance Association, vol. 64(6), pages 2739-2782, December.
    2. Philipp Krüger & Augustin Landier & David Thesmar, 2015. "The WACC Fallacy: The Real Effects of Using a Unique Discount Rate," Journal of Finance, American Finance Association, vol. 70(3), pages 1253-1285, June.
    3. Larry G. Epstein & Emmanuel Farhi & Tomasz Strzalecki, 2014. "How Much Would You Pay to Resolve Long-Run Risk?," American Economic Review, American Economic Association, vol. 104(9), pages 2680-2697, September.
    4. Agnar Sandmo, 1974. "Discount Rates for Public Investment Under Uncertainty," International Economic Association Series, in: Jacques H. Drèze (ed.), Allocation under Uncertainty: Equilibrium and Optimality, chapter 11, pages 192-210, Palgrave Macmillan.
    5. Luc Baumstark & Christian Gollier, 2014. "The relevance and the limits of the Arrow-Lind Theorem," Post-Print halshs-00958510, HAL.
    6. 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.
    7. 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.
    8. Cass R. Sunstein, 2014. "On Not Revisiting Official Discount Rates: Institutional Inertia and the Social Cost of Carbon," American Economic Review, American Economic Association, vol. 104(5), pages 547-551, May.
    9. Ian Martin, 2013. "The Lucas Orchard," Econometrica, Econometric Society, vol. 81(1), pages 55-111, January.
    10. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    11. Kenneth J. Arrow & Robert C. Lind, 1974. "Uncertainty and the Evaluation of Public Investment Decisions," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 3, pages 54-75, Palgrave Macmillan.
    12. Dietz, Simon & Gollier, Christian & Kessler, Louise, 2018. "The climate beta," Journal of Environmental Economics and Management, Elsevier, vol. 87(C), pages 258-274.
    13. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    14. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    15. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    16. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801, October.
    17. Martin L. Weitzman, 2001. "Gamma Discounting," American Economic Review, American Economic Association, vol. 91(1), pages 260-271, March.
    18. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    19. Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
    20. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    21. Arrow, K. & Cropper, M. & Gollier, C. & Groom, B. & Heal, G. & Newell, R. & Nordhaus, W. & Pindyck, R. & Pizer, W. & Portney, P. & Sterner, T. & Tol, R. S. J. & Weitzman, Martin L., 2013. "Determining Benefits and Costs for Future Generations," Scholarly Articles 12841963, Harvard University Department of Economics.
    22. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    23. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    24. Arrow Kenneth J, 2007. "Global Climate Change: A Challenge to Policy," The Economists' Voice, De Gruyter, vol. 4(3), pages 1-5, June.
    25. William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
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    Cited by:

    1. Sophie Zhou & Frederick van der Ploeg & Rick van der Ploeg, 2023. "Structural Change and the Climate Risk Premium during the Green Transition," CESifo Working Paper Series 10840, CESifo.
    2. Spackman, Michael, 2021. "Social discounting and the equity premium," LSE Research Online Documents on Economics 111488, London School of Economics and Political Science, LSE Library.
    3. 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).

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    More about this item

    Keywords

    Discounting; Investment Theory; Asset Pricing; Carbon Pricing; Arrow-Lind Theorem; WACC Fallacy; Rare Disasters; Capital Budgeting;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • H43 - Public Economics - - Publicly Provided Goods - - - Project Evaluation; Social Discount Rate
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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