No-Arbitrage Pricing of Securities Under Transaction Costs

2016 ◽  
Author(s):  
Silke Prohl
2013 ◽  
Vol 25 (4) ◽  
pp. 673-701 ◽  
Author(s):  
Tomasz R. Bielecki ◽  
Igor Cialenco ◽  
Rodrigo Rodriguez

2021 ◽  
Vol 126 ◽  
pp. 106075
Author(s):  
Fernando Eguren Martin ◽  
Andrew Meldrum ◽  
Wen Yan

2019 ◽  
Vol 12 (1) ◽  
pp. 26
Author(s):  
Wanxiao Tang ◽  
Jun Zhao ◽  
Peibiao Zhao

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.


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