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Investment under alternative return assumptions Comparing random walks and mean reversion

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  • Metcalf, Gilbert E.
  • Hassett, Kevin A.

Abstract

Many recent theoretical papers have come under attack for modeling prices as Geometric Brownian Motion. This process can diverge over time, implying that firms facing this price process can earn infinite profits. We explore the significance of this attack and contrast investment under Geometric Brownian Motion with investment assuming mean reversion. While analytically more complex, mean reversion in many cases is a more plausible assumption, allowing for supply responses to increasing prices. We show that cumulative investment is generally unaffected by the use of a mean reversion process rather than Geometric Brownian Motion and provide an explanation for this result.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 19 (1995)
Issue (Month): 8 (November)
Pages: 1471-1488

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Handle: RePEc:eee:dyncon:v:19:y:1995:i:8:p:1471-1488

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Web page: http://www.elsevier.com/locate/jedc

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  1. Abel, Andrew B, 1983. "Optimal Investment under Uncertainty," American Economic Review, American Economic Association, vol. 73(1), pages 228-33, March.
  2. Pindyck, Robert S., 1986. "Irreversible investment, capacity choice, and the value of the firm," Working papers 1802-86., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  3. Pindyck, Robert S, 1982. "Adjustment Costs, Uncertainty, and the Behavior of the Firm," American Economic Review, American Economic Association, vol. 72(3), pages 415-27, June.
  4. Leahy, John V, 1993. "Investment in Competitive Equilibrium: The Optimality of Myopic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1105-33, November.
  5. McDonald, Robert & Siegel, Daniel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 707-27, November.
  6. Bertola, Giuseppe, 1998. "Irreversible investment," Research in Economics, Elsevier, vol. 52(1), pages 3-37, March.
  7. Avinash Dixit, 1992. "Investment and Hysteresis," Journal of Economic Perspectives, American Economic Association, vol. 6(1), pages 107-132, Winter.
  8. Lund Diderik, 1993. "The Lognormal Diffusion Is Hardly an Equilibrium Price Process for Exhaustible Resources," Journal of Environmental Economics and Management, Elsevier, vol. 25(3), pages 235-241, November.
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