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2010 | 11 | 1 | 110-117

Article title

On upper gain bound for trading strategy based on cointegration

Content

Title variants

Languages of publication

EN

Abstracts

EN
A long-run trading strategy based on cointegration relationship between prices of two commodities is considered. A linear combination of the prices is assumed to be a stationary AR(1) process. In some range of parameters, AR(1) process is obtained by discrete sampling of Ornstein-Uhlenbeck process. This allows to calculate approximate number of transactions in long run trade horizon and obtain approximate upper bound for possible gain.

Year

Volume

11

Issue

1

Pages

110-117

Physical description

Dates

published
2010

Contributors

  • Department of Mathematical Economics, Warsaw School of Economics

References

  • 1. Alili, L., Patie, P. and Pedersen, J. L. (2005). Representation of the first hitting time density of an Ornstein-Uhlenbeck process. Stoch. Models 21 967-980.
  • 2. Brockwell, P. J. and Marquardt, T. (2005). Lévy driven and fractionally integrated ARMA processes with continuous time parameter Statistica Sinica 15 474-494.
  • 3. Engle, R. F. and Granger, C. W. J. (1987). Cointegration and Error-Correction: Representation, Estimation and Testing. Econometrica 55 251-276.
  • 4. Łochowski, R. (2007) Stopping time for Ornstein-Uhlenbeck process vs. stopping time for discrete AR(1) process, reprint available from web page http://akson.sgh.waw.pl/~rlocho/stoppingtime2.pdf
  • 5. Rolski T., Schmidli H., Schmidt V. and Teugels J. (1998) Stochastic Processes for Insurance and Finance. Wiley, Chichester New York Weinheim Brisbane Singapore Toronto.
  • 6. Ricciardi, L. M. and Sato, S. (1988). First-passage time density and moments of the Ornstein-Uhlenbeck process. J. Appl. Probab. 25 43-57.
  • 7. Thomas, M. U. (1975). Some mean first-passage time approximations for the Ornstein-Uhlenbeck process. J. Appl. Probab. 12 600-604.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-9daca22d-5098-4be9-a563-06989fcdb16e
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