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Computational complexity of arbitrage in frictional security market

机译:摩擦性证券市场套利的计算复杂性

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摘要

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.
机译:我们对有摩擦的金融市场套利条件的计算很感兴趣。我们考虑具有有限数量的金融资产和有限数量的自然状态的确定性模型。模型中给出了每种资产在每种可能的自然状态下的未来收益。当资产以整数股和最大数量的股票可以固定价格交易时,我们得出的套利计算复杂性的负面结果。

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