On the Validity of the Geometric Brownian Motion Assumption

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2005-01-01
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Marathe, Rahul
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Abstract

The geometric Brownian motion (GBM) process is frequently invoked as a model for such diverse quantities as stock prices, natural resource prices and the growth in demand for products or services. We discuss a process for checking whether a given time series follows the GBM process. Methods to remove seasonal variation from such a time series are also analyzed. Of four industries studied, the historical time series for usage of established services meet the criteria for a GBM; however, the data for growth of emergent services do not.

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The Version of Record of this manuscript has been published and is available in Engineering Economist 2005, http://www.tandfonline.com/10.1080/00137910590949904. Posted with permission.

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Sat Jan 01 00:00:00 UTC 2005
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