isahot issue in the field of modern financial. This paper first ly introduces the development of financial market and the historical background of the application of mathematical model in the financial market. From the foundation of simple mathematical models of simple interest pound interest model to proceed, briefly introduce some models and use them to analyze various financial products (securities, options) price, discusses investment optimization theory, from the theory to guide the market to resolve, to guard against financial risks. At the end doa brief introduction of some the latest financial theory, prospect the development foreground of financial mathematic model. Key words: financial mathematics model , portfolio , asset pricing , financial derivative s pricing , financial risk
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