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The Variation of Certain Speculative Prices

Mandelbrot, Benoit·1963·The Journal of Business

Abstract

The purpose of this chapter is to present and test a new model of price behavior in speculative markets. The principal feature of this model is that starting from the Bachelier process as applied to InZ(t) instead of Z(t), the Gaussian distribution is replaced throughout by another family of probability laws to be referred to as stable Paretian. In a somewhat complex way, the Gaussian is a limiting case of this new family, so the new model proposed in this chapter is actually a generalization of the continuous random walk of Bachelier.

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Metadata

Authors
Mandelbrot, B.
Venue
The Journal of Business
Published
1963-01
Volume
36
Issue
4
Pages
394
ISSN
  • 0021-9398 (ISSN-L)
  • 1537-5374
OpenAlex
W3125246470
Cited by
4,747
References
0
FWCI
6.27
Type
journal article
Language
en
Open access
closed

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.