摘 要

金融数学自诞生以来，经过多半个世纪的不断扩充与修正，现在已经发展成为了独立的、具有理论研究价值和实践价值的交叉学科。金融是与货币的发行流通和运用过程相关的所有经济活动。金融学是以上述经济活动为研究对象，以发现其中的一些本质规律为研究目的的一门学科。金融数学又被称为数理金融学、分析金融学、数学金融学，是20世纪80年代末、90年代初兴起的数学与金融学的交叉学科。金融数学主要运用现代数学理论和方法对金融的理论和实践进行数量的分析研究。金融数学的研究对象是金融市场上风险资产的交易，研究的目的是利用有效的数学工具揭示金融学的本质特征，从而达到对具有潜在风险的各种未定权益的合理定价和选择规避风险的最优策略。

而本课题是通过对金融数学中投资收益分析的实例进行分析从而更好的认识和理解金融数学，毕竟近二十几年来，金融数学不仅对金融工具的创新和对金融市场的有效运作产生直接的影响，而且对公司的对研究开发项目的评估(如实物期权)和投资决策以及在金融机构的风险管理中得到广泛应用。因而能够更好的认识和理解金融数学将会对今后的学习和工作有巨大的帮助。

本论文主要件数了一下几点内容：

（1）介绍了金融数学中投资收益分析的研究现状。

（2）介绍了基本投资分析的方法和工具等。

（3）介绍了收益率计算的方法等。

（4）介绍了投资的资本预算和回报率等。

（5）略举几例进行实例分析。

关键字：金融数学；投资收益；实例分析。

Abstract

Since the birth of financial mathematics, after more than half a century of continuous expansion and correction, has now developed into an independent, with theoretical research value and practical value of cross disciplines.Finance is related to the issue of currency circulation and applying process of all economic activity. Finance is the economic activity as the research object, to discover some of the essential rule a subject for research purposes. Financial mathematics is also called the analysis finance, mathematical finance, mathematical finance, is the rise of the late 90 s and early 1980 s cross subject of mathematics and finance. Financial mathematics mainly using modern mathematics theory and method of the number of the theory and practice of financial analysis research. Financial mathematics research on financial risk assets on the market transaction, its purpose is to use the effective mathematical tools to reveal the essence of finance, so as to achieve the potential risk of contingent claim reasonable pricing and choose the optimal strategy of risk aversion.

But this topic is based on the analysis of investment in financial mathematics instance is analyzed so as to better understanding and the understanding of financial mathematics, after all, the recent 20 years, the financial mathematics not only for the innovation of financial tools and direct influence on the functioning of financial markets, but also for the company's investment decision-making and a review of research and development projects (such as real options), and is widely used in the risk management of financial institutions. Thus allowing them to better understanding and the understanding of financial mathematics to are of great help for the future study and work.

The quantity of this paper is mainly about some content：

(1) In financial mathematics are introduced the current research status of investment benefit analysis .

(2) Introduced the basic investment analysis methods and tools, etc.

(3) This paper introduces the method of calculating the yield.

(4)The capital budget and rate of return on investment are introduced.

(5)A few examples to carry on the analysis

Keywords:Financial mathematics;Income from investment;Case analysis.

目 录

摘 要 Ⅰ

Abstract Ⅲ

第1章 绪论 1

1.1 背景分析 1

1.2 金融数学中投资收益分析的研究现状 2

1.3 主要研究内容 4

第2章 基本投资分析 5

2.1 引言 5

2.2 常用的基本分析方法和工具 6

2.2.1 贴现现金流分析..................................................................................................................................6

2.2.2 收益率..................................................................................................................................................6

2.2.3 未结价值分析......................................................................................................................................6

2.3 再投资分析 8

第3章 收益率计算 9

3.1 引言 9

3.2 收益率计算的方法简介 10

3.2.1 资本加权法.......................................................................................................................................10

3.2.2 时间加权法.......................................................................................................................................10

3.2.3 投资额方法和投资年方法...............................................................................................................11

第4章 资本预算 13

4.1 引言 13

4.2 收益率方法与净现值方法简介 14

4.3 回报率和融资率 15

第5章 实例分析.........................................................................................................................17

5.1 基本投资分析实例分析......................................................................................................17

5.2 收益率计算实例分析..........................................................................................................18

5.3 资本预算实例分析..............................................................................................................20

第6章 总结与展望 21

6.1 论文总结 21

6.2 研究展望...........................................................................................................................22

参考文献.......................................................................................................................................23

致谢 25

第1章 绪论

1.1 背景分析

20世纪的金融学本身由于金融实践的迅猛发展和不断创新而逐渐成为一门很有生命力的学科。尤其是20世纪后期的几十年中他与数学交融形成了一门新兴的学科也就是金融数学。