ArticleOriginal scientific text

Title

Discrete time arbitrage under transaction costs

Authors 1

Affiliations

  1. Institute of Mathematics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland

Abstract

Conditions for the absence of arbitrage in discrete time markets with various kinds of transaction costs are shown.

Keywords

martingale measure, arbitrage opportunity

Bibliography

  1. R. C. Dalang, A. Morton and W. Willinger, Equivalent martingale measures and no-arbitrage in stochastic securities market models, Stochastics Stochastics Rep. 29 (1990), 185-201.
  2. B. Girotto and F. Ortu, Existence of equivalent martingale measures in finite-dimensional securities markets, J. Econom. Theory 69 (1996), 262-277.
  3. J. M. Harrison and D. M. Kreps, Martingales and arbitrage in multiperiod securities markets, J. Econom. Theory 20 (1979), 381-408.
  4. J. M. Harrison and S. R. Pliska, % Martingales and stochastic integrals in the theory of continuous trading, Stochastic Process. Appl. 11 (1981), 215-260.
  5. E. Jouini and H. Kallal, Arbitrage in securities markets with short-sales constraints, Math. Finance 5 (1995), 197-232.
  6. E. Jouini and H. Kallal, Martingales and arbitrage in securities markets with transaction costs, J. Econom. Theory 66 (1995), 178-197.
  7. J. Kabanov and D. O. Kramkov, No arbitrage and equivalent martingale mea- sures: An elementary proof of the Harrison-Pliska theorem, Theory Probab. Appl. 39 (1994), 523-526.
  8. H. Pham and N. Touzi, The fundamental theorem of asset pricing with cone constraints, J. Math. Econom. 31 (1999), 265-279.
  9. L. C. G. Rogers, Equivalent martingale measures and no-arbitrage, Stochastics Stochastics Rep. 51 (1994), 41-49.
  10. C. Stricker, Arbitrage et lois de martingale, Ann. Inst. H. Poincaré Probab. Statist. 26 (1990), 451-460.
Pages:
419-436
Main language of publication
English
Received
1999-10-15
Accepted
2000-01-06
Published
2000
Exact and natural sciences