Written by Robert Jarrow, one of the true titans of finance, and his former student Arkadev Chatterjea, Introduction to Derivatives is the first text developed from the ground up for students taking the introductory derivatives course. The math is presented at the right level and is always motivated by what 's happening in the financial markets. And, as one of the developers of the Heath-Jarrow-Morton Model, Robert Jarrow presents a novel, accessible way to understand this important topic.
This book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black-Scholes-Merton model, characterizations of the American put option, and the first applications of arbitrage pricing theory to market manipulation and liquidity risk.Part II relates to pricing derivatives under stochastic interest rates. Included is the paper introducing the famous Heath?Jarrow?Morton (HJM) model, together with papers on topics like the characterization of the difference between forward and futures prices, the forward price martingale measure, and applications of the HJM model to foreign currencies and commodities.Part III deals with the pricing of financial derivatives considering both stochastic interest rates and the likelihood of default. Papers cover the reduced form credit risk model, in particular the original Jarrow and Turnbull model, the Markov model for credit rating transitions, counterparty risk, and diversifiable default risk.
This text seeks to teach the basics of fixed-income securities in a way that requires a minimum of prerequisites. Its approach - the Heath Jarrow Morton model - under which all other models are presented as special cases, aims to enhance understanding while avoiding repetition.
Asset pricing theory yields deep insights into crucial market phenomena such as stock market bubbles. Now in a newly revised and updated edition, this textbook guides the reader through this theory and its applications to markets. The new edition features new results on state dependent preferences, a characterization of market efficiency and a more general presentation of multiple-factor models using only the assumptions of no arbitrage and no dominance. Taking an innovative approach based on martingales, the book presents advanced techniques of mathematical finance in a business and economics context, covering a range of relevant topics such as derivatives pricing and hedging, systematic risk, portfolio optimization, market efficiency, and equilibrium pricing models. For applications to high dimensional statistics and machine learning, new multi-factor models are given. This new edition integrates suicide trading strategies into the understanding of asset price bubbles, greatly enriching the overall presentation and further strengthening the book’s underlying theme of economic bubbles. Written by a leading expert in risk management, Continuous-Time Asset Pricing Theory is the first textbook on asset pricing theory with a martingale approach. Based on the author’s extensive teaching and research experience on the topic, it is particularly well suited for graduate students in business and economics with a strong mathematical background.
Modeling Fixed Income Securities and Interest Rate Options, Third Edition presents the basics of fixed-income securities in a way that, unlike competitive texts, requires a minimum of prerequisites. While other books focus heavily on institutional details of the bond market, all of which could easily be learned "on the job," the third edition of this classic textbook is more focused with presenting a coherent theoretical framework for understanding all basic models. The author’s unified approach—the Heath Jarrow Morton model—under which all other models are presented as special cases, enhances understanding of the material. The author’s pricing model is widely used in today’s securities industry. This new edition offers many updates to align with advances in the research and requires a minimum of prerequisites while presenting the basics of fixed-income securities. Highlights of the Third Edition Chapters 1-16 completely updated to align with advances in research Thoroughly eliminates out-of-date material while advancing the presentation Includes an ample amount of exercises and examples throughout the text which illustrate key concepts .
The third edition updates the text in two significant ways. First, it updates the presentation to reflect changes that have occurred in financial markets since the publication of the 2nd edition. One such change is with respect to the over-the-counter interest rate derivatives markets and the abolishment of LIBOR as a reference rate. Second, it updates the theory to reflect new research related to asset price bubbles and the valuation of options. Asset price bubbles are a reality in financial markets and their impact on derivative pricing is essential to understand. This is the only introductory textbook that contains these insights on asset price bubbles and options.
The Economic Foundations of Risk Management presents the theory, the practice, and applies this knowledge to provide a forensic analysis of some well-known risk management failures. By doing so, this book introduces a unified framework for understanding how to manage the risk of an individual's or corporation's or financial institution's assets and liabilities. The book is divided into five parts. The first part studies the markets and the assets and liabilities that trade therein. Markets are differentiated based on whether they are competitive or not, frictionless or not (and the type of friction), and actively traded or not. Assets are divided into two types: primary assets and financial derivatives. The second part studies models for determining the risks of the traded assets. Models provided include the Black-Scholes-Merton, the Heath-Jarrow-Morton, and the reduced form model for credit risk. Liquidity risk, operational risk, and trading constraint models are also contained therein. The third part studies the conceptual solution to an individual's, firm's, and bank's risk management problem. This formulation involves solving a complex dynamic programming problem that cannot be applied in practice. Consequently, Part IV investigates how risk management is actually done in practice via the use of diversification, static hedging, and dynamic hedging. Finally, Part V applies these collective insights to six case studies, which are famous risk management failures. These are Penn Square Bank, Metallgesellschaft, Orange County, Barings Bank, Long Term Capital Management, and Washington Mutual. The credit crisis is also discussed to understand how risk management failed for many institutions and why.
This book teaches the basics of fixed-income securities in a way that, unlike competitive texts, requires a minimum of prerequisites. While other books focus heavily on institutional details of the bond market, all of which could easily be learned "on the job," Jarrow is more concerned with presenting a coherent theoretical framework for understanding all basic models. His unified approach--the Heath Jarrow Morton model--under which all other models are presented as special cases, enhances understanding while avoiding repetition. The author's pricing model is widely used in today's securities industry. In this revised edition, the author has added new chapters to enrich coverage, and has modified the order of chapters slightly to smooth the progression of material from simple to complex. Online material will be available with the text, replacing the diskette included in the first edition; lecture notes for instructors will be available on PowerPoint slides. MathWorks has provided a free online, limited version of the MATLAB's financial derivatives toolbox, with which users of the book can apply the theory presented in each chapter.
Praise for The Mathematics of Derivatives "The Mathematics of Derivatives provides a concise pedagogical discussion of both fundamental and very recent developments in mathematical finance, and is particularly well suited for readers with a science or engineering background. It is written from the point of view of a physicist focused on providing an understanding of the methodology and the assumptions behind derivative pricing. Navin has a unique and elegant viewpoint, and will help mathematically sophisticated readers rapidly get up to speed in the latest Wall Street financial innovations." —David Montano, Managing Director JPMorgan Securities A stylish and practical introduction to the key concepts in financial mathematics, this book tackles key fundamentals in the subject in an intuitive and refreshing manner whilst also providing detailed analytical and numerical schema for solving interesting derivatives pricing problems. If Richard Feynman wrote an introduction to financial mathematics, it might look similar. The problem and solution sets are first rate." —Barry Ryan, Partner Bhramavira Capital Partners, London "This is a great book for anyone beginning (or contemplating), a career in financial research or analytic programming. Navin dissects a huge, complex topic into a series of discrete, concise, accessible lectures that combine the required mathematical theory with relevant applications to real-world markets. I wish this book was around when I started in finance. It would have saved me a lot of time and aggravation." —Larry Magargal
A detailed survey of the Anglican mission to the coalfields in an era where rapid industrialisation crucially affected the old ecclesiastical structures. In 1860 the Diocese of Durham launched a new mission to bring Christianity - and specifically Anglicanism - to the teeming population of the Durham coalfield. Over the preceding fifty years the Church of England had become increasingly marginalised as the coalfield population soared. Parish churches that had been built to serve a scattered, rural medieval population were no longer sufficiently close - or relevant - to the new industrial townships that werebeing constructed around the coalmines. The post-1860 mission was a belated attempt to reach out to the new coalfield population, and to rescue them from the forces of Methodism, labour militancy and irreligion. It was posited onthe need to build new churches, to delineate new parishes and to recruit a new type of clergyman: working-class and down-to-earth in origin and outlook, and somebody who could make an empathetic connection with his new parishioners. This book is a detailed exploration of the way in which the Church of England in Durham handled its mission. It follows the Church's relationship with the coalfield, which ranged from an early-nineteenth-century aloofness to an early-twentieth-century identification which many church leaders considered had gone too far, and in so doing reveals how the Durham experience relates to national attempts to maintain Anglicanism's relevance and presence in an increasingly secular and sceptical society. Dr ROBERT LEE lectures in History at the University of Teesside, Middlesbrough.
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