Interest Rates and Coupon Bonds in Quantum Finance

Interest Rates and Coupon Bonds in Quantum Finance PDF Author: Belal E. Baaquie
Publisher: Cambridge University Press
ISBN: 1139483552
Category : Science
Languages : en
Pages : 509

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Book Description
The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing on interest rates and coupon bonds, this book does not employ stochastic calculus – the bedrock of the present day mathematical finance – for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.

Interest Rates and Coupon Bonds in Quantum Finance

Interest Rates and Coupon Bonds in Quantum Finance PDF Author: Belal E. Baaquie
Publisher: Cambridge University Press
ISBN: 1139483552
Category : Science
Languages : en
Pages : 509

Get Book

Book Description
The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing on interest rates and coupon bonds, this book does not employ stochastic calculus – the bedrock of the present day mathematical finance – for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.

Interest Rates and Coupon Bonds in Quantum Finance

Interest Rates and Coupon Bonds in Quantum Finance PDF Author: B. E. Baaquie
Publisher:
ISBN: 9781107211896
Category : Electronic books
Languages : en
Pages : 490

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Book Description
"The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing almost exclusively on interest rates and coupon bonds, this book does not employ stochastic calculus - the bedrock of the present day mathematical finance - for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry"--Provided by publisher.

Quantum Finance

Quantum Finance PDF Author: Belal E. Baaquie
Publisher: Cambridge University Press
ISBN: 1139456393
Category : Business & Economics
Languages : en
Pages : 334

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Book Description
This book applies the mathematics and concepts of quantum mechanics and quantum field theory to the modelling of interest rates and the theory of options. Particular emphasis is placed on path integrals and Hamiltonians. Financial mathematics is dominated by stochastic calculus. The present book offers a formulation that is completely independent of that approach. As such many results emerge from the ideas developed by the author. This work will be of interest to physicists and mathematicians working in the field of finance, to quantitative analysts in banks and finance firms and to practitioners in the field of fixed income securities and foreign exchange. The book can also be used as a graduate text for courses in financial physics and financial mathematics.

Quantum Field Theory for Economics and Finance

Quantum Field Theory for Economics and Finance PDF Author: B. E. Baaquie
Publisher: Cambridge University Press
ISBN: 1108423159
Category : Business & Economics
Languages : en
Pages : 717

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Book Description
This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates.

Understanding and Managing Interest Rate Risks

Understanding and Managing Interest Rate Risks PDF Author: Ren-Raw Chen
Publisher: World Scientific
ISBN: 9789810227517
Category : Business & Economics
Languages : en
Pages : 182

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Book Description
The book is a systematic summary of modern term structure theories and how interest rate contingent claims are priced under such theories. This is the first book on such an attempt. The book reviews important term structure models and chooses one model to consistantly demonstrate contingent claim pricing. Well-known models are included and their relationships are thoroughly discussed. The book also provides a complete process of model implementation from parameter estimation to hedging. Examples are provided throughout.

Mathematical Methods and Quantum Mathematics for Economics and Finance

Mathematical Methods and Quantum Mathematics for Economics and Finance PDF Author: Belal Ehsan Baaquie
Publisher: Springer Nature
ISBN: 9811566119
Category : Business & Economics
Languages : en
Pages : 439

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Book Description
Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.

Quantum Finance

Quantum Finance PDF Author: Belal E. Baaquie
Publisher:
ISBN: 9780511331633
Category : Interest rates
Languages : en
Pages : 334

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Book Description
This book applies the mathematics and concepts of quantum mechanics and quantum field theory to the modelling of interest rates and the theory of options. Particular emphasis is placed on path integrals and Hamiltonians. Financial mathematics is dominated by stochastic calculus. The present book offers a formulation that is completely independent of that approach. As such many results emerge from the ideas developed by the author. This work will be of interest to physicists and mathematicians working in the field of finance, to quantitative analysts in banks and finance firms and to practition.

Econophysics of Agent-Based Models

Econophysics of Agent-Based Models PDF Author: Frédéric Abergel
Publisher: Springer Science & Business Media
ISBN: 3319000233
Category : Science
Languages : en
Pages : 302

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Book Description
The primary goal of this book is to present the research findings and conclusions of physicists, economists, mathematicians and financial engineers working in the field of "Econophysics" who have undertaken agent-based modelling, comparison with empirical studies and related investigations. Most standard economic models assume the existence of the representative agent, who is “perfectly rational” and applies the utility maximization principle when taking action. One reason for this is the desire to keep models mathematically tractable: no tools are available to economists for solving non-linear models of heterogeneous adaptive agents without explicit optimization. In contrast, multi-agent models, which originated from statistical physics considerations, allow us to go beyond the prototype theories of traditional economics involving the representative agent. This book is based on the Econophys-Kolkata VII Workshop, at which many such modelling efforts were presented. In the book, leading researchers in their fields report on their latest work, consider recent developments and review the contemporary literature.

Quantitative Finance For Dummies

Quantitative Finance For Dummies PDF Author: Steve Bell
Publisher: John Wiley & Sons
ISBN: 1118769430
Category : Business & Economics
Languages : en
Pages : 408

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Book Description
An accessible, thorough introduction to quantitative finance Does the complex world of quantitative finance make you quiver?You're not alone! It's a tough subject for even high-levelfinancial gurus to grasp, but Quantitative Finance ForDummies offers plain-English guidance on making sense ofapplying mathematics to investing decisions. With this completeguide, you'll gain a solid understanding of futures, options andrisk, and get up-to-speed on the most popular equations, methods,formulas and models (such as the Black-Scholes model) that areapplied in quantitative finance. Also known as mathematical finance, quantitative finance is thefield of mathematics applied to financial markets. It's a highlytechnical discipline—but almost all investment companies andhedge funds use quantitative methods. This fun and friendly guidebreaks the subject of quantitative finance down to easilydigestible parts, making it approachable for personal investors andfinance students alike. With the help of Quantitative FinanceFor Dummies, you'll learn the mathematical skills necessary forsuccess with quantitative finance, the most up-to-date portfolioand risk management applications and everything you need to knowabout basic derivatives pricing. Covers the core models, formulas and methods used inquantitative finance Includes examples and brief exercises to help augment yourunderstanding of QF Provides an easy-to-follow introduction to the complex world ofquantitative finance Explains how QF methods are used to define the current marketvalue of a derivative security Whether you're an aspiring quant or a top-tier personalinvestor, Quantitative Finance For Dummies is your go-toguide for coming to grips with QF/risk management.

Quantum Computers

Quantum Computers PDF Author: Belal Ehsan Baaquie
Publisher: Springer Nature
ISBN: 9811975175
Category : Science
Languages : en
Pages : 297

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Book Description
This book presents various theories and algorithms to create a quantum computer. The concept of the classical and quantum computers, and the concept of circuits and gates are reviewed. The example of the Deutsch and the Deutsch-Josca algorithm is discussed to illustrate some key features of quantum computing. The Grover algorithm, considered to be of major milestone of the subject, is discussed in detail to exemplify the techniques used in computer algorithms. The role of quantum superposition (also called quantum parallelism) and of quantum entanglement is discussed in order to understand the key advantages of a quantum over a classical computer.