Application of Mathematics in Financial Management

Mathematics in Financial Risk Management

The paper gives an overview of mathematical models and methods used in financial risk management; the main area of application is credit risk. A brief introduction explains the mathematical issues arising in the risk management of a portfolio of loans. The paper continues with a formal overview of credit risk management models and discusses axiomatic approaches to risk measurement. We close wit...

Financial Mathematics

The complexity, unpredictability and evolving nature of financial markets continues to provide an enormous challenge to mathematicians, engineers and economists to identify, analyze and quantify the issues and risks they pose. This has led to problems in stochastic analysis, simulation, differential equations, statistics and big data, and stochastic control and optimization (including dynamic g...

Mathematics of Financial Markets

Mathematical finance is a child of the 20th century. It was born on 29 March 1900 with the presentation of Louis Bachelier’s doctoral dissertation Théorie de la speculation [1]. Now, one hundred years later, it is the basis of a huge industry, at the centre of modern global economic development, and the source of a great deal of interesting mathematics. Further, the theory and applications have...

application of brand personality scale in automobile industry: the study of samand’s brand personality dimensions

این تحقیق شخصیت برند سمند را در ایران با استفاده از مدل پنج بعدی آکر (1997) بعنوان یک چهارچوب بطور توصیفی سنجیده است. بنابر این چهارچوب که دراصل در 42 جزء (42 ویزگی شخصیتی) ودر پنج بعد شخصیتی طراحی شده بود ودر کشورها وصنایع مختلف آزموده شده بود, پرسنامه به زبان فارسی ترجمه شده و با استفاده از روشهای ترجمه معکوس و مصاحبه عمیق با 12 متخصص ایرانی به 38 جزء کاهش یافت. و نظرسنجی ای در پنج نمایندگی ا...

Convex Analysis in Financial Mathematics

Using the language of convex analysis we describe key results in several important areas of finance: portfolio theory, financial derivative trading and pricing and consumption based asset pricing theory. We hope to emphasize the importance of convex analysis in financial mathematics and also bring attention to researchers in convex analysis interesting issues in financial applications.

Financial Mathematics in Continuous Time