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The welfare cost of ignoring the beta

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  • Gollier, Christian

Abstract

Because of risk aversion, any sensible investment valuation system should value less projects that contribute more to the aggregate risk. In theory, this is done by adjusting discount rates to consumption betas. But in reality, most public institutions use a dis-count rate that is rather insensitive to the risk profile of their investment projects. The economic consequences of the implied misallocation of capital are severe. I calibrate a Lucas model in which the investment opportunity set contains a constellation of projects with different expected returns and risk profiles. The model matches the traditional finan-cial and macro moments, together with the observed heterogeneity of assets’ 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 single discount rate is used.

Suggested Citation

  • Gollier, Christian, 2024. "The welfare cost of ignoring the beta," TSE Working Papers 24-1556, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:129648
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    References listed on IDEAS

    as
    1. 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.
    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. 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.
    4. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
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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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