Abstract
In the process of continuous reform and development of financial markets, financial theories are constantly updated and the research and development of financial mathematics becomes more and more important. This paper focuses on the impact of financial mathematics on modern financial markets. Starting from the emergence and development prospect of modern financial mathematics, the impact of financial mathematics on the development of modern financial market is comprehensively elaborated by analyzing financial mathematical theories, such as harness theory, stochastic optimal control theory and optimal stopping theory, and analyzing the application of mathematical models in financial theory. Financial mathematics not only effectively drives the innovation and iteration of financial instruments, but also has a direct role in the development of financial markets. The article focuses on the application of mathematical knowledge in several financial problems, aiming to provide reference and reference for advancing the application of mathematical knowledge in the field of finance.
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