Equivalent Locally Martingale Measure for the Deflator Process on Ordered Banach Algebra
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper aims at determining the measure of Q under necessary and sufficient conditions.
The measure is an equivalent measure for identifying the given P such that the process with respect to P is the deflator locally martingale.
The martingale and locally martingale measures will coincide for the deflator process discrete time.
We define s-viable, s-price system, and no locally free lunch in ordered Banach algebra and identify that the s-price system C,π is s-viable if and only a character functional ψC≤π exists.
We further demonstrate that no locally free lunch is a necessary and sufficient condition for the equivalent martingale measure Q to exist for the deflator process and the subcharacter ϕ∈Γ such that φC=π.
This paper proves the existence of more than one condition and that all conditions are equivalent.
American Psychological Association (APA)
Hussein, Boushra Y.. 2020. Equivalent Locally Martingale Measure for the Deflator Process on Ordered Banach Algebra. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188094
Modern Language Association (MLA)
Hussein, Boushra Y.. Equivalent Locally Martingale Measure for the Deflator Process on Ordered Banach Algebra. Journal of Mathematics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1188094
American Medical Association (AMA)
Hussein, Boushra Y.. Equivalent Locally Martingale Measure for the Deflator Process on Ordered Banach Algebra. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188094
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188094