The Welfare Cost of Ignoring the Beta

Working Paper: CEPR ID: DP16007

Authors: Christian Gollier

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.

Keywords: discounting; investment theory; asset pricing; carbon pricing; arrow-lind theorem; wacc fallacy; rare disasters; capital budgeting

JEL Codes: G12; H43; Q54


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
single discount rate (H43)misallocation of capital (E22)
misallocation of capital (E22)welfare loss (D69)
absence of risk adjustment in discounting (D15)overvaluation of high beta projects (H43)
absence of risk adjustment in discounting (D15)undervaluation of projects that hedge against macroeconomic risks (H43)
risk-free rate as discount rate (H43)welfare loss (D69)
misinterpretation of Arrow-Lind theorem (D79)misallocation of capital (E22)

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