Introduction to financial mathematics;

It is a new discipline and an important part of "financial high-tech". The research goal is to make use of some advantages in China's mathematics field, deeply analyze the mathematical theory of financial market equilibrium and securities pricing, establish a mathematical model suitable for China's national conditions, write certain computer software, and simulate the theoretical research results;

Conduct econometric analysis and research on the actual data, and provide in-depth technical analysis and consultation for the actual financial sector. The core content is to study the optimal selection theory of portfolio and the asset pricing theory under uncertain random environment. Arbitrage, optimality and equilibrium are the basic ideas of economics and the three basic concepts of financial mathematics.

Collins 1995, Vice President of Citibank in the United States, pointed out in his speech at Newton Institute of Mathematical Sciences at Cambridge University on March 6, 1995: "1At the beginning of the 8th century, Bernoulli, a famous mathematician of Newton's contemporaries, declared:' People who are engaged in physical research but don't know mathematics actually deal with things of little significance.

At that time, this statement was correct for physics, but not necessarily for banking. /kloc-in the 0/8th century, banks can be run well without any mathematical training. What used to apply to physics also applies to banking now.

So now it can be said that people who work in banks and don't know mathematics are actually dealing with things that don't make much sense. He also pointed out that 70% of Citibank's business depends on mathematics, and he particularly emphasized that' without the tools and technologies developed by mathematics, we can't do anything about many things ... without mathematics, we can't survive. "

Here, the banker described the importance of mathematics with his experience. After the end of the Cold War, thousands of scientists who used to work in the US military system entered Wall Street, and large fund management companies began to hire doctors in mathematics or physics. This is an important signal: the financial market is not a battlefield, but it is far better than the battlefield.

However, whether it is the market or the battlefield, it is inseparable from complex, difficult and fast computing. In 2 1 century, mathematical technology, like computer technology, has become an indispensable tool in any scientific development.