Financial Mathematics and Engineering, Financial Technologies

Pricing and hedging in fixed-income markets and multi-curve interest-rate modeling. Recent developments concerning contingent convertible bonds, the measuring of basis spreads, and the modeling of implied correlations.

This text is designed for a three-hour, one-year course for students who desire a knowledge of the mathematics of modern business and finance. While the vocational aspects of the subject should be especially attractive to students of commerce and business administration, yet an understanding of the topics that are considered interest, discount, annuities, bond valuation, depreciation, insurance may well be desirable information for the educated layman.

This text serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like.

For all students who wish to understand current economic and business literature, knowledge of mathematical methods has become a prerequisite. Clear and concise, with precise definitions and theorems, Werner and Sotskov cover all the major topics required to gain a firm grounding in this subject including sequences, series, applications in finance, functions, differentiations, differentials and difference equations, optimizations with and without constraints, integrations and much more.

This text provides a precise and intuitive introduction to the formal backgrounds of modern financial theory. It explains Brownian Motion, random processes, measures, and Lebesgue integrals intuitively, but without sacrificing the necessary mathematical formalism, making them accessible for readers with little or no previous knowledge of the field.

Volume 2 textbook continues where the Volume 1 left off. Volume 2 increases the challenge with topics such as converting units and working with equations, perimeter, area, and volume. Once again the material is presented from a trades perspective with easy-to-understand examples and videos explanations accompanying questions.

This volume represents the building blocks for math training. The book includes whole numbers, fractions, decimals, and percents. The material is presented from a trades perspective with easy-to-understand examples and video explanations accompanying questions. The goal of this volume is to get students prepared for the more advanced topics that they will encounter during their trades math education.

This book is designed for an introductory course in the theory of interest and annuity. Each section contains the embedded examples with answer keys. It is suitable for a junior level course in the mathematics of finance.

This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice.