Mathematical Portfolio Theory and Analysis
Series: Compact Textbooks in Mathematics;
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Product details:
- Edition number 1st ed. 2023
- Publisher Birkhäuser
- Date of Publication 19 February 2023
- Number of Volumes 1 pieces, Book
- ISBN 9789811985430
- Binding Paperback
- No. of pages150 pages
- Size 235x155 mm
- Weight 261 g
- Language English
- Illustrations 1 Illustrations, black & white; 10 Illustrations, color 447
Categories
Short description:
Designed as a self-contained text, this book covers a wide spectrum of topics on portfolio theory. It covers both the classical-mean-variance portfolio theory as well as non-mean-variance portfolio theory. The book covers topics such as optimal portfolio strategies, bond portfolio optimization and risk management of portfolios. In order to ensure that the book is self-contained and not dependent on any pre-requisites, the book includes three chapters on basics of financial markets, probability theory and asset pricing models, which have resulted in a holistic narrative of the topic. Retaining the spirit of the classical works of stalwarts like Markowitz, Black, Sharpe, etc., this book includes various other aspects of portfolio theory, such as discrete and continuous time optimal portfolios, bond portfolios and risk management.
The increase in volume and diversity of banking activities has resulted in a concurrent enhanced importance of portfolio theory, both in terms of management perspective (including risk management) and the resulting mathematical sophistication required. Most books on portfolio theory are written either from the management perspective, or are aimed at advanced graduate students and academicians. This book bridges the gap between these two levels of learning. With many useful solved examples and exercises with solutions as well as a rigorous mathematical approach of portfolio theory, the book is useful to undergraduate students of mathematical finance, business and financial management.
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Long description:
Designed as a self-contained text, this book covers a wide spectrum of topics on portfolio theory. It covers both the classical-mean-variance portfolio theory as well as non-mean-variance portfolio theory. The book covers topics such as optimal portfolio strategies, bond portfolio optimization and risk management of portfolios. In order to ensure that the book is self-contained and not dependent on any pre-requisites, the book includes three chapters on basics of financial markets, probability theory and asset pricing models, which have resulted in a holistic narrative of the topic. Retaining the spirit of the classical works of stalwarts like Markowitz, Black, Sharpe, etc., this book includes various other aspects of portfolio theory, such as discrete and continuous time optimal portfolios, bond portfolios and risk management.
The increase in volume and diversity of banking activities has resulted in a concurrent enhanced importance of portfolio theory, both in terms of management perspective (including risk management) and the resulting mathematical sophistication required. Most books on portfolio theory are written either from the management perspective, or are aimed at advanced graduate students and academicians. This book bridges the gap between these two levels of learning. With many useful solved examples and exercises with solutions as well as a rigorous mathematical approach of portfolio theory, the book is useful to undergraduate students of mathematical finance, business and financial management.
?The book provides a holistic insight into mathematical portfolio theory and analysis at an undergraduate level. ? This useful textbook provides students and teachers with new perspectives and novel approaches.? (Pavel Stoynov, zbMATH 1519.91001, 2023) More
Table of Contents:
Chapter 1. Mechanisms of Financial Markets.- Chapter 2. Fundamentals of Probability Theory.- Chapter 3. Asset Pricing Models.- Chapter 4. Mean-Variance Portfolio Theory.- Chapter 5. Utility Theory.- Chapter 6. Non-Mean-Variance Portfolio Theory.- Chapter 7. Optimal Portfolio Strategies.- Chapter 8. Bond Portfolio Optimization.- Chapter 9. Risk Management of Portfolios.
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