Artikel

Geometric no-arbitrage analysis in the dynamic financial market with transaction costs

The present paper considers a class of financial market with transaction costs and constructs a geometric no-arbitrage analysis frame. Then, this paper arrives at the fact that this financial market is of no-arbitrage if and only if the curvature 2-form of a specific connection is zero. Furthermore, this paper derives the fact that the no-arbitrage condition for the one-period financial market is equivalent to the geometric no-arbitrage condition. Finally, an example states the equivalence between the geometric no-arbitrage condition and the existence of the solutions for a maximization problem of expected utility.

Language
Englisch

Bibliographic citation
Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 12 ; Year: 2019 ; Issue: 1 ; Pages: 1-17 ; Basel: MDPI

Classification
Wirtschaft
Subject
geometric no-arbitrage
transaction cost
bid-ask spread

Event
Geistige Schöpfung
(who)
Tang, Wanxiao
Zhao, Jun
Zhao, Peibiao
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2019

DOI
doi:10.3390/jrfm12010026
Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Tang, Wanxiao
  • Zhao, Jun
  • Zhao, Peibiao
  • MDPI

Time of origin

  • 2019

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