Skip to main content

Remarks on the true No-arbitrage Property

Autres expos\’es

Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1857)

Abstract

We discuss conditions of absence of arbitrage in the classical sense (the “true” NA property) for the model given by a family of continuous value processes. In particular, we obtain a criterion for the NA property in a market model with countably many securities with continuous price processes. This result generalizes the well-known criteria due to Levental-Skorohod and Delbaen-Schachermayer.

Keywords

  • Price Process
  • Local Martingale
  • Arbitrage Opportunity
  • Predictable Process
  • Stochastic Basis

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuri Kabanov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2005 Springer-Verlag Berlin/Heidelberg

About this chapter

Cite this chapter

Kabanov, Y., Stricker, C. (2005). Remarks on the true No-arbitrage Property. In: Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXVIII. Lecture Notes in Mathematics, vol 1857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31449-3_13

Download citation