Computational Finance

Numerical Methods for Pricing Financial Instruments

Author: George Levy

Publisher: Butterworth-Heinemann

ISBN: 9780750657228

Category: Business & Economics

Page: 443

View: 9157

Accompanying CD-ROM contains ... "working computer code, demonstration applications, and also PDF versions of several research articles that are referred to in the book." -- d.j.

Pricing Financial Instruments

The Finite Difference Method

Author: Domingo Tavella,Curt Randall

Publisher: John Wiley & Sons

ISBN: 9780471197607

Category: Business & Economics

Page: 256

View: 818

Pricing Financial Instruments Numerical methods for the solution of financial instrument pricing equations are fast becoming essential for practitioners of modern quantitative finance. Among the most promising of these new computational finance techniques is the finite difference method-yet, to date, no single resource has presented a quality, comprehensive overview of this revolutionary quantitative approach to risk management. Pricing Financial Instruments, researched and written by Domingo Tavella and Curt Randall, two of the chief proponents of the finite difference method, presents a logical framework for applying the method of finite difference to the pricing of financial derivatives. Detailing the algorithmic and numerical procedures that are the foundation of both modern mathematical finance and the creation of financial products-while purposely keeping mathematical complexity to a minimum-this long-awaited book demonstrates how the techniques described can be used to accurately price simple and complex derivative structures. From a summary of stochastic pricing processes and arbitrage pricing arguments, through the analysis of numerical schemes and the implications of discretization-and ending with case studies that are simple yet detailed enough to demonstrate the capabilities of the methodology-Pricing Financial Instruments explores areas that include: * Pricing equations and the relationship between European and American derivatives * Detailed analyses of different stability analysis approaches * Continuous and discrete sampling models for path dependent options * One-dimensional and multi-dimensional coordinate transformations * Numerical examples of barrier options, Asian options, forward swaps, and more With an emphasis on how numerical solutions work and how the approximations involved affect the accuracy of the solutions, Pricing Financial Instruments takes us through doors opened wide by Black, Scholes, and Merton-and the arbitrage pricing principles they introduced in the early 1970s-to provide a step-by-step outline for sensibly interpreting the output of standard numerical schemes. It covers the understanding and application of today's finite difference method, and takes the reader to the next level of pricing financial instruments and managing financial risk.

Pricing Financial Instruments

The Finite Difference Method

Author: Domingo Tavella,Curt Randall

Publisher: Wiley

ISBN: 9780471197607

Category: Business & Economics

Page: 256

View: 365

Numerical methods for the solution of financial instrument pricingequations are fast becoming essential for practitioners of modernquantitative finance. Among the most promising of these newcomputational finance techniques is the finite differencemethod-yet, to date, no single resource has presented a quality,comprehensive overview of this revolutionary quantitative approachto risk management. Pricing Financial Instruments, researched and written by DomingoTavella and Curt Randall, two of the chief proponents of the finitedifference method, presents a logical framework for applying themethod of finite difference to the pricing of financialderivatives. Detailing the algorithmic and numerical proceduresthat are the foundation of both modern mathematical finance and thecreation of financial products-while purposely keeping mathematicalcomplexity to a minimum-this long-awaited book demonstrates how thetechniques described can be used to accurately price simple andcomplex derivative structures. From a summary of stochastic pricing processes and arbitragepricing arguments, through the analysis of numerical schemes andthe implications of discretization-and ending with case studiesthat are simple yet detailed enough to demonstrate the capabilitiesof the methodology- Pricing Financial Instruments explores areasthat include: * Pricing equations and the relationship be-tween European andAmerican derivatives * Detailed analyses of different stability analysisapproaches * Continuous and discrete sampling models for path dependentoptions * One-dimensional and multi-dimensional coordinatetransformations * Numerical examples of barrier options, Asian options, forwardswaps, and more With an emphasis on how numerical solutions work and how theapproximations involved affect the accuracy of the solutions,Pricing Financial Instruments takes us through doors opened wide byBlack, Scholes, and Merton-and the arbitrage pricing principlesthey introduced in the early 1970s-to provide a step-by-stepoutline for sensibly interpreting the output of standard numericalschemes. It covers the understanding and application of today'sfinite difference method, and takes the reader to the next level ofpricing financial instruments and managing financial risk. Praise for Pricing Financial Instruments "Pricing Financial Instruments is the first broad and accessibletreatment of finite difference methods for pricing derivativesecurities. The authors have taken great care to clearly explainboth the origins of the pricing problems in a financial setting, aswell as many practical aspects of their numerical methods. The bookcovers a wide variety of applications, such as American options andcredit derivatives. Both financial analysts and academicasset-pricing specialists will want to own a copy."-Darrell Duffie,Professor of Finance Stanford University "In my experience, finite difference methods have proven to be asimple yet powerful tool for numerically solving the evolutionaryPDEs that arise in modern mathematical finance. This book shouldfinally dispel the widely held notion that these methods aresomehow difficult or abstract. I highly recommend it to anyoneinterested in the implementation of these methods in the financialarena."-Peter Carr, Principal Bank of America Securities "A very comprehensive treatment of the application of finitedifference techniques to derivatives finance. Practitioners willfind the many extensive examples very valuable and students willappreciate the rigorous attention paid to the many subtleties offinite difference techniques."-Francis Longstaff, Professor TheAnderson School at UCLA "The finite difference approach is central to the numerical pricingof financial securities. This book gives a clear and succinctintroduction to this important subject. Highly recommended."-MarkBroadie, Associate Professor School of Business, ColumbiaUniversity For updates on new and bestselling Wiley Finance books:wiley.com/wbns

Financial Instrument Pricing Using C++

Author: Daniel J. Duffy

Publisher: John Wiley & Sons

ISBN: 1119170486

Category: Business & Economics

Page: 1168

View: 2195

An integrated guide to C++ and computational finance This complete guide to C++ and computational finance is a follow-up and major extension to Daniel J. Duffy's 2004 edition of Financial Instrument Pricing Using C++. Both C++ and computational finance have evolved and changed dramatically in the last ten years and this book documents these improvements. Duffy focuses on these developments and the advantages for the quant developer by: Delving into a detailed account of the new C++11 standard and its applicability to computational finance. Using de-facto standard libraries, such as Boost and Eigen to improve developer productivity. Developing multiparadigm software using the object-oriented, generic, and functional programming styles. Designing flexible numerical algorithms: modern numerical methods and multiparadigm design patterns. Providing a detailed explanation of the Finite Difference Methods through six chapters, including new developments such as ADE, Method of Lines (MOL), and Uncertain Volatility Models. Developing applications, from financial model to algorithmic design and code, through a coherent approach. Generating interoperability with Excel add-ins, C#, and C++/CLI. Using random number generation in C++11 and Monte Carlo simulation. Duffy adopted a spiral model approach while writing each chapter of Financial Instrument Pricing Using C++ 2e: analyse a little, design a little, and code a little. Each cycle ends with a working prototype in C++ and shows how a given algorithm or numerical method works. Additionally, each chapter contains non-trivial exercises and projects that discuss improvements and extensions to the material. This book is for designers and application developers in computational finance, and assumes the reader has some fundamental experience of C++ and derivatives pricing. HOW TO RECEIVE THE SOURCE CODE Once you have purchased a copy of the book please send an email to the author dduffyATdatasim.nl requesting your personal and non-transferable copy of the source code. Proof of purchase is needed. The subject of the mail should be “C++ Book Source Code Request”. You will receive a reply with a zip file attachment.

Market Risk Analysis, Pricing, Hedging and Trading Financial Instruments

Author: Carol Alexander

Publisher: John Wiley & Sons

ISBN: 0470772816

Category: Business & Economics

Page: 416

View: 9209

Written by leading market risk academic, Professor Carol Alexander, Pricing, Hedging and Trading Financial Instruments forms part three of the Market Risk Analysis four volume set. This book is an in-depth, practical and accessible guide to the models that are used for pricing and the strategies that are used for hedging financial instruments, and to the markets in which they trade. It provides a comprehensive, rigorous and accessible introduction to bonds, swaps, futures and forwards and options, including variance swaps, volatility indices and their futures and options, to stochastic volatility models and to modelling the implied and local volatility surfaces. All together, the Market Risk Analysis four volume set illustrates virtually every concept or formula with a practical, numerical example or a longer, empirical case study. Across all four volumes there are approximately 300 numerical and empirical examples, 400 graphs and figures and 30 case studies many of which are contained in interactive Excel spreadsheets available from the the accompanying CD-ROM . Empirical examples and case studies specific to this volume include: Duration-Convexity approximation to bond portfolios, and portfolio immunization; Pricing floaters and vanilla, basis and variance swaps; Coupon stripping and yield curve fitting; Proxy hedging, and hedging international securities and energy futures portfolios; Pricing models for European exotics, including barriers, Asians, look-backs, choosers, capped, contingent, power, quanto, compo, exchange, ‘best-of’ and spread options; Libor model calibration; Dynamic models for implied volatility based on principal component analysis; Calibration of stochastic volatility models (Matlab code); Simulations from stochastic volatility and jump models; Duration, PV01 and volatility invariant cash flow mappings; Delta-gamma-theta-vega mappings for options portfolios; Volatility beta mapping to volatility indices.

Pricing, Risk, and Performance Measurement in Practice

The Building Block Approach to Modeling Instruments and Portfolios

Author: Wolfgang Schwerdt,Marcelle von Wendland

Publisher: Academic Press

ISBN: 9780080923048

Category: Business & Economics

Page: 398

View: 467

How can managers increase their ability to calculate price and risk data for financial instruments while decreasing their dependence on a myriad of specific instrument variants? Wolfgang Schwerdt and Marcelle von Wendland created a simple and consistent way to handle and process large amounts of complex financial data. By means of a practical framework, their approach analyzes market and credit risk exposure of financial instruments and portfolios and calculates risk adjusted performance measures. Its emphasis on standardization yields significant improvements in speed and accuracy. Schwerdt and von Wendland's focus on practical implementation directly addresses limitations imposed by the complex and costly processing time required for advanced risk management models and pricing hundreds of thousands of securities each day. Their many examples and programming codes demonstrate how to use standards to build financial instruments, how to price them, and how to measure the risk and performance of the portfolios that include them. Feature: The authors have designed and implemented a standard for the description of financial instruments Benefit: The reader can rely on accurate and valid information about describing financial instruments Feature: The authors have developed an approach for pricing and analyzing any financial instrument using a limited set of atomic instruments Benefit: The reader can use these instruments to define and set up even very large numbers of financial instruments. Feature: The book builds a practical framework for analysing the market and credit risk exposure of financial instruments and portfolios Benefit: Readers can use this framework today in their work and identify and measure market and credit risk using a reliable method.

Financial Instrument Pricing Using C++

Author: Daniel J. Duffy

Publisher: John Wiley & Sons

ISBN: 1119170494

Category: Business & Economics

Page: 1168

View: 8617

An integrated guide to C++ and computational finance This complete guide to C++ and computational finance is a follow-up and major extension to Daniel J. Duffy's 2004 edition of Financial Instrument Pricing Using C++. Both C++ and computational finance have evolved and changed dramatically in the last ten years and this book documents these improvements. Duffy focuses on these developments and the advantages for the quant developer by: Delving into a detailed account of the new C++11 standard and its applicability to computational finance. Using de-facto standard libraries, such as Boost and Eigen to improve developer productivity. Developing multiparadigm software using the object-oriented, generic, and functional programming styles. Designing flexible numerical algorithms: modern numerical methods and multiparadigm design patterns. Providing a detailed explanation of the Finite Difference Methods through six chapters, including new developments such as ADE, Method of Lines (MOL), and Uncertain Volatility Models. Developing applications, from financial model to algorithmic design and code, through a coherent approach. Generating interoperability with Excel add-ins, C#, and C++/CLI. Using random number generation in C++11 and Monte Carlo simulation. Duffy adopted a spiral model approach while writing each chapter of Financial Instrument Pricing Using C++ 2e: analyse a little, design a little, and code a little. Each cycle ends with a working prototype in C++ and shows how a given algorithm or numerical method works. Additionally, each chapter contains non-trivial exercises and projects that discuss improvements and extensions to the material. This book is for designers and application developers in computational finance, and assumes the reader has some fundamental experience of C++ and derivatives pricing. HOW TO RECEIVE THE SOURCE CODE Once you have purchased a copy of the book please send an email to the author dduffyATdatasim.nl requesting your personal and non-transferable copy of the source code. Proof of purchase is needed. The subject of the mail should be “C++ Book Source Code Request”. You will receive a reply with a zip file attachment.

Introduction to Derivative Financial Instruments, Chapter 8 - The Pricing of Options

Author: Dimitris Chorafas

Publisher: McGraw Hill Professional

ISBN: 0071731245

Category: Business & Economics

Page: 27

View: 6924

This chapter comes from Derivative Financial Instruments, written by a renowned corporate financial advisor. This timely guide offers a comprehensive treatment of derivative financial instruments, fully covering bonds, interest swaps, options, futures, Forex, and more. The author explains the strategic use of derivatives, their place in portfolio management, hedging, and the importance of managing risk.

The Mathematics of Finance

Modeling and Hedging

Author: Victor Goodman,Joseph Gail Stampfli

Publisher: American Mathematical Soc.

ISBN: 9780821847930

Category: Business & Economics

Page: 250

View: 2362

This book is ideally suited for an introductory undergraduate course on financial engineering. It explains the basic concepts of financial derivatives, including put and call options, as well as more complex derivatives such as barrier options and options on futures contracts. Both discrete and continuous models of market behavior are developed in this book. In particular, the analysis of option prices developed by Black and Scholes is explained in a self-contained way, using both the probabilistic Brownian Motion method and the analytical differential equations method. The book begins with binomial stock price models, moves on to multistage models, then to the Cox-Ross-Rubinstein option pricing process, and then to the Black-Scholes formula. Other topics presented include Zero Coupon Bonds, forward rates, the yield curve, and several bond price models. The book continues with foreign exchange models and the Keynes Interest Rate Parity Formula, and concludes with the study of country risk, a topic not inappropriate for the times. In addition to theoretical results, numerical models are presented in much detail. Each of the eleven chapters includes a variety of exercises.

Quantitative Methods in Derivatives Pricing

An Introduction to Computational Finance

Author: Domingo Tavella

Publisher: John Wiley & Sons

ISBN: 9780471274797

Category: Business & Economics

Page: 304

View: 4778

This book presents a cogent description of the main methodologies used in derivatives pricing. Starting with a summary of the elements of Stochastic Calculus, Quantitative Methods in Derivatives Pricing develops the fundamental tools of financial engineering, such as scenario generation, simulation for European instruments, simulation for American instruments, and finite differences in an intuitive and practical manner, with an abundance of practical examples and case studies. Intended primarily as an introductory graduate textbook in computational finance, this book will also serve as a reference for practitioners seeking basic information on alternative pricing methodologies. Domingo Tavella is President of Octanti Associates, a consulting firm in risk management and financial systems design. He is the founder and chief editor of the Journal of Computational Finance and has pioneered the application of advanced numerical techniques in pricing and risk analysis in the financial and insurance industries. Tavella coauthored Pricing Financial Instruments: The Finite Difference Method. He holds a PhD in aeronautical engineering from Stanford University and an MBA in finance from the University of California at Berkeley.

Financial Derivatives

Pricing, Applications, and Mathematics

Author: Jamil Baz,George Chacko

Publisher: Cambridge University Press

ISBN: 9780521815109

Category: Business & Economics

Page: 338

View: 2428

This book offers a complete, succinct account of the principles of financial derivatives pricing. The first chapter provides readers with an intuitive exposition of basic random calculus. Concepts such as volatility and time, random walks, geometric Brownian motion, and Ito's lemma are discussed heuristically. The second chapter develops generic pricing techniques for assets and derivatives, determining the notion of a stochastic discount factor or pricing kernel, and then uses this concept to price conventional and exotic derivatives. The third chapter applies the pricing concepts to the special case of interest rate markets, namely, bonds and swaps, and discusses factor models and term structure consistent models. The fourth chapter deals with a variety of mathematical topics that underlie derivatives pricing and portfolio allocation decisions such as mean-reverting processes and jump processes and discusses related tools of stochastic calculus such as Kolmogorov equations, martingale techniques, stochastic control, and partial differential equations.

Transfer Pricing and Intra-group Financing

The Entangled Worlds of Financial Markets and Transfer Pricing

Author: Anuschka Bakker,Marc M. Levey

Publisher: IBFD

ISBN: 9087221525

Category: Corporations

Page: 558

View: 3143

This book explores transfer pricing issues related to intra-group financing transactions. It is an invaluable resource for tax practitioners, tax lawyers, tax managers, tax directors of corporations, treasurers and tax authorities, in all facets of transfer pricing and intra-group financing.

Mastering Python for Finance

Author: James Ma Weiming

Publisher: Packt Publishing Ltd

ISBN: 1784397873

Category: Computers

Page: 340

View: 9753

If you are an undergraduate or graduate student, a beginner to algorithmic development and research, or a software developer in the financial industry who is interested in using Python for quantitative methods in finance, this is the book for you. It would be helpful to have a bit of familiarity with basic Python usage, but no prior experience is required.

Financial Instruments Standards

A Guide on IAS 32, IAS 39 and IFRS 7

Author: Gupta

Publisher: Tata McGraw-Hill Education

ISBN: 0070657033

Category: Accounting

Page: N.A

View: 9400

Over the last couple of years, companies around the world switched from national accounting standards to International Financial Reporting Standards (IFRS). India too would adopt IFRS directly or align the national standards with IFRS from 2011. While this has been welcomed by investors and other stakeholders, practitioners continue to grapple with interpretations and practices that are emerging in areas where the standards are not explicit.Financial Instruments Standards guides the reader through rules and supplements the application guidance with interpretation and analyses. It deals with all aspects of hedge accounting, as well as embedded derivatives and de-recognition of financial instruments. It also includes numerous worked out examples pertaining to complex calculations and disclosures.

Financial Modelling in Python

Author: Shayne Fletcher,Christopher Gardner

Publisher: John Wiley & Sons

ISBN: 0470747897

Category: Business & Economics

Page: 244

View: 8697

"Fletcher and Gardner have created a comprehensive resource that will be of interest not only to those working in the field of finance, but also to those using numerical methods in other fields such as engineering, physics, and actuarial mathematics. By showing how to combine the high-level elegance, accessibility, and flexibility of Python, with the low-level computational efficiency of C++, in the context of interesting financial modeling problems, they have provided an implementation template which will be useful to others seeking to jointly optimize the use of computational and human resources. They document all the necessary technical details required in order to make external numerical libraries available from within Python, and they contribute a useful library of their own, which will significantly reduce the start-up costs involved in building financial models. This book is a must read for all those with a need to apply numerical methods in the valuation of financial claims." –David Louton, Professor of Finance, Bryant University This book is directed at both industry practitioners and students interested in designing a pricing and risk management framework for financial derivatives using the Python programming language. It is a practical book complete with working, tested code that guides the reader through the process of building a flexible, extensible pricing framework in Python. The pricing frameworks' loosely coupled fundamental components have been designed to facilitate the quick development of new models. Concrete applications to real-world pricing problems are also provided. Topics are introduced gradually, each building on the last. They include basic mathematical algorithms, common algorithms from numerical analysis, trade, market and event data model representations, lattice and simulation based pricing, and model development. The mathematics presented is kept simple and to the point. The book also provides a host of information on practical technical topics such as C++/Python hybrid development (embedding and extending) and techniques for integrating Python based programs with Microsoft Excel.

Accounting for Financial Instruments

A Guide to Valuation and Risk Management

Author: Emanuel Camilleri,Roxanne Camilleri

Publisher: Taylor & Francis

ISBN: 1315299429

Category: Business & Economics

Page: 438

View: 1335

Accounting for Financial Instruments is about the accounting and regulatory framework associated with the acquisition and disposal of financial instruments; how to determine their value; how to manage the risk connected with them; and ultimately compile a business valuation report. Specifically, the book covers the following topics, amongst others: Accounting for Investments; Bills of exchange; Management of Financial Risks; Financial Analysis (including the Financial Analysis Report); Valuation of a business (including the Business Valuation Report) and Money laundering. Accounting for Financial Instruments fills a gap in the current literature for a comprehensive text that brings together relevant accounting concepts and valid regulatory framework, and related procedures regarding the management of financial instruments (investments), which are applicable in the modern business world. Understanding financial risk management allows the reader to comprehend the importance of analysing a business concern. This is achieved by presenting an analytical framework to illustrate that an entity’s performance is greatly influenced by its external and internal environments. The analysis of the external environment examines factors that impact an entity’s operational activities, strategic choices, and influence its opportunities and risks. The analysis of the internal environment applies accounting ratio analysis to an entity’s financial statements to examine various elements, including liquidity, profitability, asset utilisation, investment, working capital management and capital structure. The objective of the book is to provide a fundamental knowledge base for those who are interested in managing financial instruments (investments) or studying banking and finance or those who wish to make financial services, particularly banking and finance, their chosen career. Accounting for Financial Instruments is highly applicable to both professional accountants and auditors and students alike.

Carbon Markets

Microstructure, Pricing and Policy

Author: Gbenga Ibikunle,Andros Gregoriou

Publisher: Springer

ISBN: 3319728474

Category: Business & Economics

Page: 234

View: 3234

This book explores the microstructure of carbon markets and the pricing of carbon financial instruments generally. It provides a critical microstructure analysis of the EU Emissions Trading Scheme (EU-ETS), and also examines the theoretical and related market design issues affecting emissions trading schemes. Individual chapters analyse how intraday pricing evolves in carbon markets, the price impact of block trades in carbon financial instruments and their determinants, short and long-term liquidity effects in carbon markets, and the links between carbon market liquidity and efficiency. The aforementioned issues are explored using case studies of two major trading platforms operating within the EU-ETS. The book concludes by focusing on future policy and regulatory challenges in carbon markets, especially with respect to addressing pricing volatility challenges.

Hybrid Securities

Structuring, Pricing and Risk Assessment

Author: Kamil Liberadzki,Marcin Liberadzki

Publisher: Springer

ISBN: 113758971X

Category: Business & Economics

Page: 224

View: 7560

Hybrid capital securities or 'hybrids' offer various benefits. They offer flexibility equity without shareholder dilution, provide protection to senior creditors, are a stable source of long-term funding for healthy companies, and help insurers and banks meet regulatory and rating agency capital requirements. Risks and features of hybrid securities are expressed in the credit spread of some relatively new financial instruments, but no structural fundamentals exist for to price hybrids precisely. This book proposes a model for the pricing of hybrids. It begins by explaining the concept of hybrids as well as their equity- and debt-like characteristics. Different types of hybrids are presented, including preference shares, convertible bonds, contingent convertibles (CoCos) and bail-in bonds. The authors then present analysis of regulatory regimes' impact on hybrids. They discuss the types of hybrid bonds that are contemplated in the Capital Requirements Regulation (CRR) and Banking Union mechanism. They then present an in-depth examination of hybrids pricing and risk assessment techniques. The book provides a comprehensive analysis from mathematical, legal and financial perspectives in order to look at relatively new financial instruments and address problems with the pricing models of hybrids which are as yet unsolved.

Effective Product Control

Controlling for Trading Desks

Author: Peter Nash

Publisher: John Wiley & Sons

ISBN: 1118939794

Category: Business & Economics

Page: 376

View: 3882

Improve the Effectiveness of your Product Control Function Effective Product Control is a detailed how-to guide covering everything you need to know about the function. Considered essential reading for: New controllers entering the profession Auditors and regulators reviewing product control Established controllers wanting a refresher on the latest skills and core controls within the industry. Encompassing both a technical skills primer and key insights into core controls used to mit­igate major risks emanating from trading desks, you will get expert advice on practical topics such as: The key IFRS and U.S. GAAP accounting standards for a trading desk How to approach the pricing of a financial instrument Market risk and how is it quantified The controls necessary for a trading desk Rogue trading and how it can be detected Valuation adjustments and why they are necessary How the prices used to value a trading portfolio are independently verified The financial accounting entries used to record financial instruments in the balance sheet and profit & loss statement Financial reporting and how the results of a trading desk are presented How a new financial product can be introduced in a controlled manner Complete with a wealth of insightful graphs, illustrations and real-world examples to enliven the covered material, the dependable answers you need are in Effective Product Control.