下面为大家整理一篇优秀的essay代写范文- The application of mathematics in finance,供大家参考学习,这篇论文讨论了数学在金融领域的应用。数学是一个抽象的学科,同时又具有高度的精确性和十分严密的逻辑思维。而金融则是一个抽象的概念,是数字的集合,所以数学在金融领域的应用是十分合理的。金融领域的各种数量关系错综复杂,数学在这样的关系中可以很好的描述各种数量关系,并且在金融领域中延展其严密的逻辑性,对金融理论进行科学分析推理,使金融领域中的逻辑关系可以通过数学直观的展现出来。
Along with the continuous development of modern economy, times progress, society increasingly complex financial transactions in the form, development of the financial sector is increasingly mature, the financial system gradually established, into a lot of mathematical method, the mathematical method has important influence on the establishment of the financial system, the use of mathematical methods to guide people to explore the more possibilities in the field of financial, applied mathematics method generates a lot of typical financial theory.
The research in the financial field focuses on studying various quantitative relationships in financial activities, so we can know that the research objects in the financial field are quantifiable. In the financial field, all kinds of financial activities have quantitative and qualitative indicators, so the application of mathematics in the financial field is reasonable and can effectively help the construction of the financial system. There is a huge amount of data on financial activities, such as securities trading volume, futures buying and selling, and every flow of money is a data. This data is the foundation of the financial industry. In our in the construction of the financial system and establish the financial theory, is to collecting, sorting, these data through mathematical method to analyze it, in order to get a more accurate theoretical results.
Mathematics itself is an abstract subject with high precision and rigorous logical thinking. Finance itself is an abstract concept, a collection of Numbers, so the application of mathematics in the financial field is quite reasonable.
Relationship between the number of all kinds of financial sector is complex, and the mathematics in such a relationship can well describe various quantitative relation, and extend its rigorous logic in the financial sector, the financial theory analysis of scientific reasoning, make the logical relationship of financial sector can be solved through mathematic intuitive display.
The application of mathematical methods in the financial field also has certain limitations, which are mainly reflected in the following two aspects:
Financial sector is a complex industry, not only contains the pure relationship, the number of money between us can be quantified, such as content, but also contains a lot of cultural factors such as politics, psychology, culture in it. The existence of these non-economic factors determines the limitation of the application of mathematics in the financial field. If in the financial sector in a doped into political influence factors in the theory establishment, humanities and social science, or the participants' psychological factors, makes the mathematics to evaluate its precision. Because the application of mathematics in finance is conditional, relative and not absolute. In other words, we will find that the application of mathematical methods in the financial field will also have uncalculated surprises, such as the outbreak of the subprime crisis is a good example.
Application in the field of financial mathematics method aims to better solve the financial problems, perfecting the financial theory, but in the application should also be aware of the limitations of mathematics itself, in the process of application for the purpose of the applied mathematics method, cannot blindly use mathematical methods.
Because mathematics itself is a kind of language, its advantages compared with other language is able to express some content in a more concise and refined way, but also has a lot of things cannot be expressed in mathematical language. Application in the field of financial mathematics method, we must clearly recognize this, in the consciousness to use mathematical methods can't make the problem more concise, we shall consider in an expression, rather than the use of mathematical methods, such not only can not effectively solve the problem, and even misguided.
Asset valuation theory is a typical application of mathematical method in financial field. Funds are of time value and cash flows at different time nodes cannot be directly compared. In response to this question, the us economist Owen hessler said: Fisher proposes that the current value of an asset is equal to the sum of the discounted future cash flows. This point of view has laid a foundation for asset valuation theory. It is calculated by mathematical method and expressed by mathematical formula.
Is there a lot of growth in the financial sector? Qualitative. People in the financial market to conduct financial transactions, its earnings and investment in time is a certain lag. It is this lag to the future direction of financial markets with a lot of uncertainty, in this kind of uncertain circumstances, investors should assume certain investment risk, the income may be more than expected, there may be loss phenomenon.
The degree of risk is the deviation between the actual return and the expected return, which is studied mathematically in the financial field. The future price of the stock in the financial theory to be seen as a random variable, because cannot compare stock prices in different periods, so people will be the price of sequence through certain way into comparable yield sequence, it is more advantageous to use mathematics method for processing. The degree of risk is expressed in terms of an infinite approximation of the variance or standard deviation.
The theory of option value is the roof formula of call option. This formula minimizes all human factors and leads investors into a risk-neutral world. The so-called risk neutral world is the risk-free interest rate as the return rate of investment. The theory of option value has been widely used in the financial field in product pricing and is an effective tool for developing new products.
To sum up, the use of mathematical methods in the financial sector is very necessary, although there are some limitations, but mathematics because of its precise and can be measured, the characteristics of the tight logic is still made a great contribution to the development of the financial sector.
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