References
Dalang, R.C., Morton, A., Willinger, W.: Equivalent martingale measures and no-arbitrage in stochastic securities market model. Stoch. Stoch. Rep. 29, 185–201 (1990)
Horváth, J.: Topological Vector Spaces and Distributions. Addison-Wesley, Reading (1966)
Jacod, J., Shiryaev, A.N.: Local martingales and the fundamental asset pricing theorem in the discrete-time case. Finance Stoch. 2, 259–273 (1998)
Kabanov, Y.M., Pergamenshchikov, S.: Two-scale Stochastic Systems. Asymptotic Analysis and Control. Springer, Berlin (2003)
Kabanov, Y.M., Stricker, C.: A teachers’ note on no-arbitrage criteria. In: Séminaire de Probabilités XXXV. Lect. Notes in Math., vol. 1755, pp. 149–152. Springer, Berlin (2001)
Schachermayer, W.: Martingale measures for discrete-time processes with infinite horizon. Math. Finance 4, 25–55 (1994)
Shiryaev, A.N.: Probability. Springer, Berlin (1984)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kabanov, Y. In discrete time a local martingale is a martingale under an equivalent probability measure. Finance Stoch 12, 293–297 (2008). https://doi.org/10.1007/s00780-008-0063-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00780-008-0063-y