Deterministic criteria for the absence of arbitrage in one-dimensional diffusion models

被引:9
作者
Mijatovic, Aleksandar [2 ]
Urusov, Mikhail [1 ]
机构
[1] Univ Ulm, Inst Math Finance, Ulm, Germany
[2] Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England
关键词
Free lunch with vanishing risk; Generalised arbitrage; Relative arbitrage; One-dimensional diffusions; FUNDAMENTAL THEOREM; RELATIVE ARBITRAGE;
D O I
10.1007/s00780-010-0152-6
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
We obtain a deterministic characterisation of the no free lunch with vanishing risk, the no generalised arbitrage and the no relative arbitrage conditions in the one-dimensional diffusion setting and examine how these notions of no-arbitrage relate to each other.
引用
收藏
页码:225 / 247
页数:23
相关论文
共 27 条
[1]  
[Anonymous], HEDGING ARBITRAGE
[2]  
[Anonymous], THESIS CORNELL U ITH
[3]  
[Anonymous], FTAP SPECIAL CASE IT
[4]  
[Anonymous], MATH ARBITRAGE SPRIN
[5]  
[Anonymous], APPL MATH
[6]  
[Anonymous], 2003, LIMIT THEOREMS STOCH, DOI DOI 10.1007/978-3-662-05265-5
[7]   On the absolute continuity and singularity of measures on filtered spaces: Separating times [J].
Cherny, A ;
Urusov, M .
FROM STOCHASTIC CALCULUS TO MATHEMATICAL FINANCE: THE SHIRYAEV FESTSCHRIFT, 2006, :125-+
[8]  
Cherny A. S., 2005, Lecture Notes in Mathematics, V1858
[9]  
Cherny A, 2007, LECT NOTES MATH, V1899, P415
[10]   Separating times for measures on filtered spaces [J].
Cherny, AS ;
Urusov, MA .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2003, 48 (02) :337-347