Foundations of Quantitative Finance Book IV: Distribution Functions and Expectations

This set of ten books provides a solid foundation in advanced mathematics for finance professionals, covering topics not typically taught in graduate finance programs. Written by Robert R. Reitano, a respected investment executive and instructor, the books offer a continuous progression through these topics and can be studied independently. Each title is extensively referenced and built from the author's five decades of experience in the industry, research, and teaching.

Format: Hardback
Length: 250 pages
Publication date: 12 September 2023
Publisher: Taylor & Francis Ltd

Every finance professional seeks and requires a competitive edge. A solid foundation in advanced mathematics can lead to significant benefits for those willing to acquire it. However, many individuals lack this expertise, which is where these books offer a distinct advantage to the discerning reader. Presented under the collective title of Foundations of Quantitative Finance, this set of ten books delves into the advanced mathematical topics essential for finance professionals to advance their careers. These books go beyond the scope of what is typically taught in graduate finance programs or in most financial mathematics undergraduate and graduate courses. As an investment executive and renowned instructor, Robert R. Reitano presents the mathematical theories he encountered and applied during nearly three decades in the financial services industry and two decades in academia, where he taught in highly esteemed graduate programs. It is crucial for readers to possess quantitative literacy and have a solid understanding of the developments covered in the earlier books in the set. While the set provides a seamless progression through these topics, each title can be studied independently.

Key Features:
Extensively Referenced to Materials from Earlier Books: The books in this set are extensively referenced to materials from earlier titles, allowing readers to deepen their understanding and build upon the knowledge acquired.

Provides the Theory Needed to Support Advanced Applications: The theories presented in these books are fundamental for supporting advanced applications in finance. They provide a solid foundation for understanding complex financial concepts and techniques.

Supplements Previous Training in Mathematics: While the set offers a continuous progression through these topics, it also supplements previous training in mathematics, offering more detailed developments and insights.

Built from the Author's Five Decades of Experience: Robert R. Reitano's extensive experience in industry, research, and teaching has been invaluable in shaping the content of these books. Readers can benefit from his wealth of knowledge and expertise.

Published and Upcoming Titles in the Robert R. Reitano Quantitative Finance Series:
Book I: Measure Spaces and Measurable Functions: This book introduces measure spaces and measurable functions, fundamental concepts in mathematics that are essential for quantitative finance. It provides a comprehensive overview of these topics and their applications.

Book II: Probability Spaces and Random Variables: In this book, probability spaces and random variables are explored in depth. It covers probability distributions, stochastic processes, and random variables' properties and characteristics.

Book III: The Integrals of Lebesgue and (Riemann-)Stieltjes: This book focuses on the integral theory of Lebesgue and (Riemann-)Stieltjes, which are important tools in quantitative finance. It covers integration techniques, measure theory, and applications in finance.

Book IV: Distribution Functions and Expectations: This book delves into distribution functions and expectations, which are fundamental concepts in finance. It covers probability density functions, conditional distributions, and expectations of random variables.

Book V: General Measure and Integration Theory: This book explores general measure and integration theory, which are essential for studying stochastic processes and financial markets. It covers measure-theoretic concepts, stochastic integration, and applications in finance.

Book VI: Applications in Finance: This book showcases the applications of the mathematical theories discussed in the previous books. It provides real-world examples and case studies from the finance industry, demonstrating how these theories are used in practice.

In conclusion, the Foundations of Quantitative Finance set offers a comprehensive and valuable resource for finance professionals seeking to advance their careers. By providing a solid foundation in advanced mathematics, these books offer a competitive edge to those willing to invest the time and effort to acquire this expertise. With extensive references, practical applications, and the expertise of Robert R. Reitano, these books are an essential tool for anyone looking to excel in the field of quantitative finance.

Weight: 653g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032206530