An Introduction to the Mathematics of Financial Derivatives


Book Description

A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.




Financial Derivatives Pricing: Selected Works Of Robert Jarrow


Book Description

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.




Quantum Finance


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.




Pricing Derivative Securities


Book Description

This book presents techniques for valuing derivative securities at a level suitable for practitioners, students in doctoral programs in economics and finance, and those in masters-level programs in financial mathematics and computational finance. It provides the necessary mathematical tools from analysis, probability theory, the theory of stochastic processes, and stochastic calculus, making extensive use of examples. It also covers pricing theory, with emphasis on martingale methods. The chapters are organized around the assumptions made about the dynamics of underlying price processes. Readers begin with simple, discrete-time models that require little mathematical sophistication, proceed to the basic Black-Scholes theory, and then advance to continuous-time models with multiple risk sources. The second edition takes account of the major developments in the field since 2000. New topics include the use of simulation to price American-style derivatives, a new one-step approach to pricing options by inverting characteristic functions, and models that allow jumps in volatility and Markov-driven changes in regime. The new chapter on interest-rate derivatives includes extensive coverage of the LIBOR market model and an introduction to the modeling of credit risk. As a supplement to the text, the book contains an accompanying CD-ROM with user-friendly FORTRAN, C++, and VBA program components.




The Derivatives Sourcebook


Book Description

The Derivatives Sourcebook is a citation study and classification system that organizes the many strands of the derivatives literature and assigns each citation to a category. Over 1800 research articles are collected and organized into a simple web-based searchable database. We have also included the 1997 Nobel lectures of Robert Merton and Myron Scholes as a backdrop to this literature.




Following the Money


Book Description

Many questions have been raised about America's status in the increasingly interconnected global economy. Yet key factsâ€"such as the amount of foreign assets abroad owned by U.S. citizensâ€"are not known. The crucial data needed to assess the U.S. position are unavailable. This volume explores significant shortcomings in U.S. data on international capital transactions and their implications for policymakers. The volume offers clearcut recommendations for U.S. agencies to bring data collection and analyses of the global economy into the twenty-first century. The volume explores: How factors emerging since the early 1980s have shaped world financial markets and revealed shortcomings in data collection and analysis. How the existing U.S. data system works and where it fails how measurements of international financial transactions are recorded; and how swaps, options, and futures present special reporting problems. How alternative methods, such as collecting data, from sources such as global custodians and international clearinghouses, might improve coverage and accuracy.




Financial Trading and Investing


Book Description

Financial Trading and Investing, Second Edition, delivers the most current information on trading and market microstructure for undergraduate and master's students. Without demanding a background in econometrics, it explores alternative markets and highlights recent regulatory developments, implementations, institutions and debates. New explanations of controversial trading tactics (and blunders), such as high-frequency trading, dark liquidity pools, fat fingers, insider trading, and flash orders emphasize links between the history of financial regulation and events in financial markets. New sections on valuation and hedging techniques, particularly with respect to fixed income and derivatives markets, accompany updated regulatory information. In addition, new case studies and additional exercises are included on a website that has been revised, expanded and updated. Combining theory and application, the book provides the only up-to-date, practical beginner's introduction to today's investment tools and markets. - Concentrates on trading, trading institutions, markets and the institutions that facilitate and regulate trading activities - Introduces foundational topics relating to trading and securities markets, including auctions, market microstructure, the roles of information and inventories, behavioral finance, market efficiency, risk, arbitrage, trading technology, trading regulation and ECNs - Covers market and technology advances and innovations, such as execution algo trading, Designated Market Makers (DMMs), Supplemental Liquidity Providers (SLPs), and the Super Display Book system (SDBK)




IMF Staff papers


Book Description

Common issues emerging from the recent experience with IMF-supported programs in Hungary, Poland, Czechoslovakia, Bulgaria, and Romania are analyzed. These comprise the initial price overshooting and output collapse and the financial and structural problems associated with bad loan portfolios and sluggish implementation of privatization programs. Substantial success has been achieved in the initial microstabilization and opening-up effort. But difficulties with fiscal and monetary control may be emerging as a result of social and political pressures and unclear policy signals on the micro issues involving the structural transformation of the productive and financial systems.




Pricing Derivative Securities


Book Description

CD-ROM contains: MAPLE student version 5.0; online version of text; MATLAB GUI; IDEAL software (embedded in online text).




Market Expectations and Option Prices


Book Description

This book is a slightly revised version of my doctoral dissertation which has been accepted by the Department of Economics and Business Administration of the Justus-Liebig-Universitat Giessen in July 2002. I am indebted to my advisor Prof. Dr. Volbert Alexander for encouraging and supporting my research. I am also grateful to the second member of the doctoral committee, Prof. Dr. Horst Rinne. Special thanks go to Dr. Ralf Ahrens for providing part of the data and to my colleague Carsten Lang, who spent much time reading the complete first draft. Wetzlar, January 2003 Martin Mandler Contents 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Part I Theoretical Foundations 2 Arbitrage Pricing and Risk-Neutral Probabilities........ .. 7 2.1 Arbitrage Pricing in the Black/Scholes-Merton Model... . . .. . 7 2.2 The Equivalent Martingale Measure and Risk-Neutral Valuation ............................................... 11 2.3 Extracting Risk-Neutral Probabilities from Option Prices. . . .. 13 2.4 Summary............................................... 15 Appendix 2A: The Valuation Function in the Black/Scholes-Merton Model .................................................. 16 Appendix 2B: Some Further Details on the Replication Strategy ... 21 3 Survey of the Related Literature .......................... 23 3.1 The Information Content of Forward and Futures Prices. . . .. . 24 3.2 The Information Content of Implied Volatilities ............. 25 3.2.1 Implied Volatilities and the Risk-Neutral Probability Density .......................................... 27 3.2.2 The Term Structure of Implied Volatilities. . . . . . . .. . . 29 . 3.2.3 The Forecasting Information in Implied Volatilities. . .. 30 3.2.4 Implied Correlations as Forecasts of Future Correlations 43 VIII Contents 3.3 The Skewness Premium ..... . . . . . . . . . . . . . . . . . . .. . . 45 . . . . . . .