Investment under alternative return assumptions Comparing random walks and mean reversion
AbstractMany 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 InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 19 (1995)
Issue (Month): 8 (November)
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Web page: http://www.elsevier.com/locate/jedc
Other versions of this item:
- Gilbert E. Metcalf & Kevin A. Hassett, 1995. "Investment Under Alternative Return Assumptions: Comparing Random Walks and Mean Reversion," NBER Technical Working Papers 0175, National Bureau of Economic Research, Inc.
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- E2 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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