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Estimating cost of capital in firm valuations with arithmetic or geometric mean - or better use the Cooper estimator?

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  • Wolfgang Breuer
  • Daniel Fuchs
  • Klaus Mark

Abstract

We test the extent and determinants of bias effects of the arithmetic as well as the geometric mean estimator and the estimator of Cooper [1996. Arithmetic versus geometric mean estimators: Setting discount rates for capital budgeting. European Financial Management 2 (July): 157-67] regarding discount rate estimation for firm valuation by way of a bootstrap approach for 13 different countries. The Cooper estimator is superior to both the geometric and the (conventional) arithmetic mean estimator. However, a 'truncated' version of the arithmetic mean estimator leads generally to better estimation outcomes than the Cooper estimator. This means that, in order to reduce problems of upward-biased firm value estimates, expected cash flows beyond a certain time horizon are completely neglected in terminal value estimation. Such an approach seems particularly reasonable for the valuation of young growth companies as well as for companies from quickly developing countries such as Brazil, China, or Thailand, because the bias in terminal value estimation is increasing in the growth rate of future expected cash flows.

Suggested Citation

  • Wolfgang Breuer & Daniel Fuchs & Klaus Mark, 2014. "Estimating cost of capital in firm valuations with arithmetic or geometric mean - or better use the Cooper estimator?," The European Journal of Finance, Taylor & Francis Journals, vol. 20(6), pages 568-594, June.
  • Handle: RePEc:taf:eurjfi:v:20:y:2014:i:6:p:568-594
    DOI: 10.1080/1351847X.2012.733717
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    Cited by:

    1. Vidal García, Raúl & Ribal Sanchis, Javier & Blasco Ruiz, Ana, 2021. "Stock market multiples in the valuation of unlisted agrifood companies. || Múltiplos de mercado en la valoración de empresas agroalimentarias no cotizadas," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 31(1), pages 198-225, June.
    2. Christoph Kaserer, 2022. "Estimating the market risk premium for valuations: arithmetic or geometric mean or something in between?," Journal of Business Economics, Springer, vol. 92(8), pages 1373-1415, October.
    3. Vidal-Garcia Raül & Ribal Javier, 2019. "Terminal Value in SMEs: Testing the Multiple EV/EBITDA Approach," Journal of Business Valuation and Economic Loss Analysis, De Gruyter, vol. 14(1), pages 1-11, February.
    4. Wolfgang Breuer & Karsten Kohn & Klaus Mark, 2017. "A note on corporate valuation using imprecise cost of capital," Journal of Business Economics, Springer, vol. 87(6), pages 709-747, August.

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