Interest Rate Models - Theory and Practice

With Smile, Inflation and Credit

Author: Damiano Brigo,Fabio Mercurio

Publisher: Springer Science & Business Media

ISBN: 354034604X

Category: Mathematics

Page: 982

View: 6474

The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swaptions interpolation technique and of the exogenous instantaneous correlation on the calibration outputs. A discussion of historical estimation of the instantaneous correlation matrix and of rank reduction has been added, and a LIBOR-model consistent swaption-volatility interpolation technique has been introduced. The old sections devoted to the smile issue in the LIBOR market model have been enlarged into a new chapter. New sections on local-volatility dynamics, and on stochastic volatility models have been added, with a thorough treatment of the recently developed uncertain-volatility approach. Examples of calibrations to real market data are now considered. The fast-growing interest for hybrid products has led to a new chapter. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters of this second edition are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.

Einführung in die Finanzmathematik

Author: Hansjoerg Albrecher,Andreas Binder,Philipp Mayer

Publisher: Springer-Verlag

ISBN: 376438784X

Category: Business & Economics

Page: 166

View: 933

Optionen, Futures oder Swaps - auf den Finanzmärkten wird heute eine Fülle sogenannter derivativer (abgeleiteter) Finanzinstrumente gehandelt. Mit deren Bewertung und Risikomanagement befasst sich die moderne Finanzmathematik. Das Buch führt an finanzmathematische Fragestellungen, Denkweisen und Lösungskonzepte heran und legt dabei großen Wert auf praxisrelevante Aspekte. Die algorithmische Umsetzung wird anhand zahlreicher Beispiele mit dem Software-Paket UnRisk illustriert. Speziell konzipiert für Veranstaltungen in Bachelor-Studiengängen.

Financial Engineering

Strategien, Bewertungen und Risikomanagement

Author: Michael Bloss

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 311053116X

Category: Business & Economics

Page: 674

View: 4032

Dieses Buch zeigt einzelne Strategien, Bewertungen, das Risikocontrolling und den Financial-Engineering-Prozess auf und geht dabei explizit auf die verwendeten Derivate sowie die eingesetzten Kombinationsstrategien ein. Gegenüber der Vorauflage wurde das Augenmerk verstärkt auf die Modelle im Financial Engineering, die neuen Produktausgestaltungen und die veränderte Regulatorik gelegt.

Financial Mathematics

A Comprehensive Treatment

Author: Giuseppe Campolieti,Roman N. Makarov

Publisher: CRC Press

ISBN: 1439892423

Category: Business & Economics

Page: 829

View: 6983

Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors’ teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance.

Understanding and Managing Model Risk

A Practical Guide for Quants, Traders and Validators

Author: Massimo Morini

Publisher: John Wiley & Sons

ISBN: 0470977744

Category: Business & Economics

Page: 352

View: 3293

A guide to the validation and risk management of quantitative models used for pricing and hedging Whereas the majority of quantitative finance books focus on mathematics and risk management books focus on regulatory aspects, this book addresses the elements missed by this literature--the risks of the models themselves. This book starts from regulatory issues, but translates them into practical suggestions to reduce the likelihood of model losses, basing model risk and validation on market experience and on a wide range of real-world examples, with a high level of detail and precise operative indications.

SABR and SABR LIBOR Market Models in Practice

With Examples Implemented in Python

Author: Christian Crispoldi,Gérald Wigger,Peter Larkin

Publisher: Springer

ISBN: 1137378646

Category: Business & Economics

Page: 216

View: 8664

Interest rate traders have been using the SABR model to price vanilla products for more than a decade. However this model suffers however from a severe limitation: its inability to value exotic products. A term structure model à la LIBOR Market Model (LMM) is often employed to value these more complex derivatives, however the LMM is unable to capture the volatility smile. A joint SABR LIBOR Market Model is the natural evolution towards a consistent pricing of vanilla and exotic products. Knowledge of these models is essential to all aspiring interest rate quants, traders and risk managers, as well an understanding of their failings and alternatives. SABR and SABR Libor Market Models in Practice is an accessible guide to modern interest rate modelling. Rather than covering an array of models which are seldom used in practice, it focuses on the SABR model, the market standard for vanilla products, the LIBOR Market Model, the most commonly used model for exotic products and the extended SABR LIBOR Market Model. The book takes a hands-on approach, demonstrating simply how to implement and work with these models in a market setting. It bridges the gap between the understanding of the models from a conceptual and mathematical perspective and the actual implementation by supplementing the interest rate theory with modelling specific, practical code examples written in Python.

Principles of Financial Engineering

Author: Robert Kosowski,Salih N. Neftci

Publisher: Academic Press

ISBN: 0123870070

Category: Business & Economics

Page: 896

View: 3771

Principles of Financial Engineering, Third Edition, is a highly acclaimed text on the fast-paced and complex subject of financial engineering. This updated edition describes the "engineering" elements of financial engineering instead of the mathematics underlying it. It shows how to use financial tools to accomplish a goal rather than describing the tools themselves. It lays emphasis on the engineering aspects of derivatives (how to create them) rather than their pricing (how they act) in relation to other instruments, the financial markets, and financial market practices. This volume explains ways to create financial tools and how the tools work together to achieve specific goals. Applications are illustrated using real-world examples. It presents three new chapters on financial engineering in topics ranging from commodity markets to financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles, and how to incorporate counterparty risk into derivatives pricing. Poised midway between intuition, actual events, and financial mathematics, this book can be used to solve problems in risk management, taxation, regulation, and above all, pricing. A solutions manual enhances the text by presenting additional cases and solutions to exercises. This latest edition of Principles of Financial Engineering is ideal for financial engineers, quantitative analysts in banks and investment houses, and other financial industry professionals. It is also highly recommended to graduate students in financial engineering and financial mathematics programs. The Third Edition presents three new chapters on financial engineering in commodity markets, financial engineering applications in hedge fund strategies, correlation swaps, structural models of default, capital structure arbitrage, contingent convertibles and how to incorporate counterparty risk into derivatives pricing, among other topics. Additions, clarifications, and illustrations throughout the volume show these instruments at work instead of explaining how they should act The solutions manual enhances the text by presenting additional cases and solutions to exercises

Analysis, Geometry, and Modeling in Finance

Advanced Methods in Option Pricing

Author: Pierre Henry-Labordère

Publisher: CRC Press

ISBN: 9781420087000

Category: Mathematics

Page: 391

View: 9145

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available. Through the problem of option pricing, the author introduces powerful tools and methods, including differential geometry, spectral decomposition, and supersymmetry, and applies these methods to practical problems in finance. He mainly focuses on the calibration and dynamics of implied volatility, which is commonly called smile. The book covers the Black–Scholes, local volatility, and stochastic volatility models, along with the Kolmogorov, Schrödinger, and Bellman–Hamilton–Jacobi equations. Providing both theoretical and numerical results throughout, this book offers new ways of solving financial problems using techniques found in physics and mathematics.

Wahrscheinlichkeitsrechnung und Statistik

Author: Robert Hafner

Publisher: Springer-Verlag

ISBN: 3709169445

Category: Mathematics

Page: 512

View: 1009

Das Buch ist eine Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik auf mittlerem mathematischen Niveau. Die Pädagogik der Darstellung unterscheidet sich in wesentlichen Teilen – Einführung der Modelle für unabhängige und abhängige Experimente, Darstellung des Suffizienzbegriffes, Ausführung des Zusammenhanges zwischen Testtheorie und Theorie der Bereichschätzung, allgemeine Diskussion der Modellentwicklung – erheblich von der anderer vergleichbarer Lehrbücher. Die Darstellung ist, soweit auf diesem Niveau möglich, mathematisch exakt, verzichtet aber bewußt und ebenfalls im Gegensatz zu vergleichbaren Texten auf die Erörterung von Meßbarkeitsfragen. Der Leser wird dadurch erheblich entlastet, ohne daß wesentliche Substanz verlorengeht. Das Buch will allen, die an der Anwendung der Statistik auf solider Grundlage interessiert sind, eine Einführung bieten, und richtet sich an Studierende und Dozenten aller Studienrichtungen, für die mathematische Statistik ein Werkzeug ist.


kurz & gut

Author: Ray Lischner

Publisher: O'Reilly Germany

ISBN: 9783897212664


Page: 134

View: 9811


Aktien-, Zins- und Währungsderivate

Märkte, Einsatzmöglichkeiten, Bewertung und Risikoanalyse

Author: Susanne Kruse

Publisher: Springer-Verlag

ISBN: 3834943045

Category: Business & Economics

Page: 377

View: 2491

Das Buch richtet sich an Studierende, die sich an einer Universität oder an einer auf den Finanzdienstleistungssektor ausgerichteten Hochschule im Rahmen eines betriebswirtschaftlichen Studiums auf den Kapitalmarkt und insbesondere den Derivatemarkt spezialisieren. Ferner richtet sich das Buch an interessierte Praktiker aus dem Treasury einer Bank oder eines Industrieunternehmens, die sich über Produktgestaltung, -bewertung und -einsatz sowie deren Risiken informieren wollen. Die Einsatzmöglichkeiten und Risiken werden anhand zahlreicher Fallstudien und Beispiele aus der Praxis vertieft. Eine mathematische Herleitung der Modelle findet aufgrund des angestrebten Zielgruppe nicht statt, die Motivation der angesprochenen Bewertungsmodelle erfolgt auf Basis der grundsätzlich in betriebswirtschaftlichen Studiengängen vorhandenen Kenntnisse in Stochastik und Mathematik. Für den interessierten Leser werden entsprechende Literaturverweise auf entsprechende Standardwerke der Finanzmathematik gegeben.

Partielle Differentialgleichungen und numerische Methoden

Author: Stig Larsson,Vidar Thomee

Publisher: Springer-Verlag

ISBN: 3540274227

Category: Mathematics

Page: 272

View: 2363

Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Algebraische Zahlentheorie

Author: Jürgen Neukirch

Publisher: Springer-Verlag

ISBN: 3540376631

Category: Mathematics

Page: 595

View: 7688

Algebraische Zahlentheorie: eine der traditionsreichsten und aktuellsten Grunddisziplinen der Mathematik. Das vorliegende Buch schildert ausführlich Grundlagen und Höhepunkte. Konkret, modern und in vielen Teilen neu. Neu: Theorie der Ordnungen. Plus: die geometrische Neubegründung der Theorie der algebraischen Zahlkörper durch die "Riemann-Roch-Theorie" vom "Arakelovschen Standpunkt", die bis hin zum "Grothendieck-Riemann-Roch-Theorem" führt.


The Ultimate Resource

Author: Various Authors

Publisher: Bloomsbury USA

ISBN: 9781849300001

Category: Business & Economics

Page: 2200

View: 9452

Compiled by more than 300 of the world's leading professionals, visionaries, writers and educators, this is THE first-stop reference resource and knowledge base for finance. QFINANCE covers an extensive range of finance topics with unique insight, authoritative information, practical guidance and thought-provoking widsom. Unmatched for in-depth content, QFINANCE contains more than 2 million words of text, data analysis, critical summaries and bonus online content. Created by Bloomsbury Publishing in association with the Qatar Financial Centre (QFC) Authority, QFINANCE is the expert reference resource for finance professionals, academics, students, journalists and writers. QFINANCE: The Ultimate Resource Special Features: Best Practice and Viewpoint Essays – Finance leaders, experts and educators address how to resolve the most crucial issues and challenges facing business today. Finance Checklists – Step-by-step guides offer problem-solving solutions including hedging interest-rate risk, governance practices, project appraisal, estimating enterprise value and managing credit ratings. Calculations and Ratios – Essential mathematical tools include how to calculate return on investment, return on shareholders’ equity, working capital productivity, EVA, risk-adjusted rate of return, CAPM, etc. Finance Thinkers and Leaders – Illuminating biographies of 50 of the leading figures in modern finance including Joseph De La Vega, Louis Bachelier, Franco Modigliani, Paul Samuelson, and Myron Scholes Finance Library digests –Summaries of more than 130 key works ranging from “Against the Gods” to “Portfolio Theory & Capital Markets” and “The Great Crash”. Country and Sector Profiles – In-depth analysis of 102 countries and 26 sectors providing essential primary research resource for direct or indirect investment. Finance Information Sources – A select list of the best resources for further information on finance and accounting worldwide, both in print and online, including books, journal articles, magazines, internet, and organizations Finance Dictionary – A comprehensive jargon-free, easy-to-use dictionary of more than 9,000 finance and banking terms used globally. Quotations – More than 2,000 business relevant quotations. Free access to QFinance Online Resources ( Get daily content updates, podcasts, online events and use our fully searchable database.

Numerik partieller Differentialgleichungen

Author: Christian Großmann,Hans-Görg Roos

Publisher: Springer-Verlag

ISBN: 3322967522

Category: Mathematics

Page: 477

View: 2357

"Die Numerik partieller Differentialgleichungen wird hier in relativ weitem Umfang vorgeführt: es beginnt bei der Diskretisierung der ursprünglichen Gleichungen, es werden Fragen der Konsistenz und Stabilität behandelt, und auch Fragen der zweckmäßigen Lösung der entstehenden Gleichungen werden nicht wie sonst in vergleichbaren Büchern verschiedentlich, zur Seite geschoben." Monatshefte für Mathematik. H.Muthsam, Wien