Advanced Search
MyIDEAS: Login

Autocorrelation as a source of truncated Lévy flights in foreign exchange rates

Contents:

Author Info

  • Figueiredo, Annibal
  • Gleria, Iram
  • Matsushita, Raul
  • Da Silva, Sergio

Abstract

We suggest that the ultraslow speed of convergence associated with truncated Lévy flights (Phys. Rev. Lett. 73 (1994) 2946) may well be explained by autocorrelations in data. We show how a particular type of autocorrelation generates power laws consistent with a truncated Lévy flight. Stock exchanges have been suggested to be modeled by a truncated Lévy flight (Nature 376 (1995) 46; Physica A 297 (2001) 509; Econom. Bull. 7 (2002) 1). Here foreign exchange rate data are taken instead. Scaling power laws in the “probability of return to the origin” are shown to emerge for most currencies. A novel approach to measure how distant a process is from a Gaussian regime is presented.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.sciencedirect.com/science/article/pii/S0378437103000293
Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 323 (2003)
Issue (Month): C ()
Pages: 601-625

as in new window
Handle: RePEc:eee:phsmap:v:323:y:2003:i:c:p:601-625

Contact details of provider:
Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

Related research

Keywords: Truncated Lévy flights; Foreign exchange rates;

Other versions of this item:

References

References listed on IDEAS
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.:
as in new window
  1. Sergio Da Silva & Raul Matsushita & Iram Gleria, 2002. "Scaling power laws in the Sao Paulo Stock Exchange," Economics Bulletin, AccessEcon, vol. 7(3), pages 1-12.
  2. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
  3. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Sergio Da Silva, 2004. "Levy Flights, Autocorrelation, and Slow Convergence," Finance 0405021, EconWPA.
  2. Matsushita, Raul & Rathie, Pushpa & Da Silva, Sergio, 2003. "Exponentially damped Lévy flights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 326(3), pages 544-555.
  3. Sergio Da Silva, 2004. "Exponentially Damped Levy Flights, Multiscaling, and Exchange Rates," Finance 0405027, EconWPA.
  4. Gleria, Iram & Figueiredo, Annibal & Matsushita, Raul & Rathie, Pushpa & Da Silva, Sergio, 2004. "Exponentially damped Lévy flights, multiscaling and slow convergence in stockmarkets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 200-206.
  5. Sergio Da Silva, 2004. "International Finance, Levy Distributions, and the Econophysics of Exchange Rates," International Finance 0405018, EconWPA.
  6. Sergio Da Silva, 2004. "Autocorrelation and the Sum of Stochastic Variables," Finance 0405020, EconWPA.
  7. da Silva, Roberto & Zembrzuski, Marcelo & Correa, Fabio C. & Lamb, Luis C., 2010. "Stock markets and criticality in the current economic crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5460-5467.
  8. Liu, Lei & Hu, Fei, 2013. "Cascade-like and scaling behavior of wind velocity increments in the atmospheric surface layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5808-5816.
  9. Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2004. "On the origins of truncated Lévy flights," Finance 0404013, EconWPA.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:323:y:2003:i:c:p:601-625. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.