COMPUTATIONAL COMPLEXITY OF ARBITRAGE IN FRICTIONAL SECURITY MARKET

Author:

DENG XIAOTIE1,LI ZHONG-FEI2,WANG SHOU-YANG3

Affiliation:

1. Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, R.O.C.

2. Department of Finance, Lingnan (University) College, Sun Yat-Sen University, Guangzhou 510275, China

3. Institute of Systems Sciences, Chinese Academy of Sciences, Beijing 10008, China

Abstract

We are interested in computation of arbitrage condition in financial market with friction. We consider a deterministic model with a finite number of financial assets and a finite number of possible states of nature. The future return of each asset under each possible state of nature is given in the model. We derive a negative result on computational complexity of arbitrage in the case when assets are traded in integer numbers of shares and with a maximum amount of shares that can be bought for a fixed price.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Short Note on Super-Hedging an Arbitrary Number of European Options with Integer-Valued Strategies;Journal of Optimization Theory and Applications;2024-04-11

2. Dynamic trading under integer constraints;Finance and Stochastics;2018-08-21

3. Arbitrage in Frictional Foreign Exchange Market;Encyclopedia of Algorithms;2016

4. Arbitrage in Frictional Foreign Exchange Market;Encyclopedia of Algorithms;2015

5. Arbitrage in Frictional Foreign Exchange Market;Encyclopedia of Algorithms;2008

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