Finance And Mathematics: Merger Or Acquisitions?

Sébastien Lleo, J. Li
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Abstract

The mathematisation of finance - excessive use of mathematical models in finance - has been blamed for the recent financial and economic crisis. We argue that the problem might actually be the financialisation of mathematics, as evidenced by the gradual embedding of branches of mathematics into financial economics. We find that the concept of embeddedness, originally proposed by Polanyi, is relevant to describe the sociological relationship between fields of knowledge. After exploring the relationship between mathematics, finance and economics since antiquity, we show how theoretical developments in the 1950s and 1970s lead directly to this embedding. We argue that it has become necessary to disembed mathematics from finance and economics, and propose a number of partial steps to facilitate this process.
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金融与数学:合并还是收购?
金融的数学化——在金融领域过度使用数学模型——被认为是最近金融和经济危机的罪魁祸首。我们认为,问题实际上可能是数学的金融化,正如数学分支逐渐嵌入金融经济学所证明的那样。我们发现波兰尼最初提出的嵌入性概念与描述知识领域之间的社会学关系是相关的。在探索了自古以来数学、金融和经济学之间的关系之后,我们展示了20世纪50年代和70年代的理论发展如何直接导致这种嵌入。我们认为,有必要将数学从金融和经济学中分离出来,并提出了一些局部步骤来促进这一过程。
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