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On Pricing And Hedging Defaultable Contingent Claims
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Book Synopsis Abstract and Applied Analysis by : N. M. Chuong
Download or read book Abstract and Applied Analysis written by N. M. Chuong and published by World Scientific. This book was released on 2004 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material ? the coefficients may jump from domain to domain; Stochastic Analysis ? many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Book Synopsis Pricing and Hedging Insurance Products in Hybrid Markets by : Jan Widenmann
Download or read book Pricing and Hedging Insurance Products in Hybrid Markets written by Jan Widenmann and published by Cuvillier Verlag. This book was released on 2013-12-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diese Dissertation stellt innovative Pricing- und Hedging-Modelle für eine breite Klasse von Versicherungsprodukten vor. Eine wichtige Neuerung im Hinblick auf die existierende Literatur ist dabei das Anwenden F-doppelt stochastischer Markovketten, was die Ausarbeitung der Formeln anhand stochastischer Intensitätsprozesse ermöglicht. Für die Prämienbestimmung für Arbeitslosigkeitsversicherungsprodukte werden die Intensitätsprozesse durch mikro- und makroökonomische stochastische Kovariablenprozesse generiert, um Einflüsse und Abhängigkeitsstrukturen innerhalb von Arbeitsmärkten zu untersuchen. Als Preisregel wird die „Real-World“-Preisformel des Benchmark-Ansatzes gewählt. Für die Bestimmung optimaler Hedgingstrategien werden quadratische Hedging-Methoden auf eine breite Klasse von Versicherungsprodukten, u.a. Lebensversicherungsprodukten, angewandt. Die Lösungen werden dabei anhand der Galtchouk-Kunita-Watanabe-Zerlegung jeweiligen der Schadenprozesse bestimmt.
Book Synopsis Paris-Princeton Lectures on Mathematical Finance 2003 by : Tomasz R. Bielecki
Download or read book Paris-Princeton Lectures on Mathematical Finance 2003 written by Tomasz R. Bielecki and published by Springer. This book was released on 2004-08-30 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Paris-Princeton Lectures in Financial Mathematics, of which this is the second volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. This volume presents the following articles: "Hedging of Defaultable Claims" by T. Bielecki, M. Jeanblanc, and M. Rutkowski; "On the Geometry of Interest Rate Models" by T. Björk; "Heterogeneous Beliefs, Speculation and Trading in Financial Markets" by J.A. Scheinkman, and W. Xiong.
Book Synopsis Indifference Pricing by : René Carmona
Download or read book Indifference Pricing written by René Carmona and published by Princeton University Press. This book was released on 2009-01-18 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals
Book Synopsis World Scientific Reference On Contingent Claims Analysis In Corporate Finance (In 4 Volumes) by : Michel Crouhy
Download or read book World Scientific Reference On Contingent Claims Analysis In Corporate Finance (In 4 Volumes) written by Michel Crouhy and published by World Scientific. This book was released on 2019-01-21 with total page 2039 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black and Scholes (1973) and Merton (1973, 1974) (hereafter referred to as BSM) introduced the contingent claim approach (CCA) to the valuation of corporate debt and equity. The BSM modeling framework is also named the 'structural' approach to risky debt valuation. The CCA considers all stakeholders of the corporation as holding contingent claims on the assets of the corporation. Each claim holder has different priorities, maturities and conditions for payouts. It is based on the principle that all the assets belong to all the liability holders.The BSM modeling framework gives the basic fundamental version of the structural model where default is assumed to occur when the net asset value of the firm at the maturity of the pure-discount debt becomes negative, i.e., market value of the assets of the firm falls below the face value of the firm's liabilities. In a regime of limited liability, the shareholders of the firm have the option to default on the firm's debt. Equity can be viewed as a European call option on the firm's assets with a strike price equal to the face value of the firm's debt. Actually, CCA can be used to value all the components of the firm's liabilities, equity, warrants, debt, contingent convertible debt, guarantees, etc.In the four volumes we present the major academic research on CCA in corporate finance starting from 1973, with seminal papers of Black and Scholes (1973) and Merton (1973, 1974). Volume I covers the foundation of CCA and contributions on equity valuation. Volume II focuses on corporate debt valuation and the capital structure of the firm. Volume III presents empirical evidence on the valuation of debt instruments as well as applications of the CCA to various financial arrangements. The papers in Volume IV show how to apply the CCA to analyze sovereign credit risk, contingent convertible bonds (CoCos), deposit insurance and loan guarantees. Volume 1: Foundations of CCA and Equity ValuationVolume 1 presents the seminal papers of Black and Scholes (1973) and Merton (1973, 1974). This volume also includes papers that specifically price equity as a call option on the corporation. It introduces warrants, convertible bonds and taxation as contingent claims on the corporation. It highlights the strong relationship between the CCA and the Modigliani-Miller (M&M) Theorems, and the relation to the Capital Assets Pricing Model (CAPM). Volume 2: Corporate Debt Valuation with CCAVolume 2 concentrates on corporate bond valuation by introducing various types of bonds with different covenants as well as introducing various conditions that trigger default. While empirical evidence indicates that the simple Merton's model underestimates the credit spreads, additional risk factors like jumps can be used to resolve it. Volume 3: Empirical Testing and Applications of CCAVolume 3 includes papers that look at issues in corporate finance that can be explained with the CCA approach. These issues include the effect of dividend policy on the valuation of debt and equity, the pricing of employee stock options and many other issues of corporate governance. Volume 4: Contingent Claims Approach for Banks and Sovereign DebtVolume 4 focuses on the application of the contingent claim approach to banks and other financial intermediaries. Regulation of the banking industry led to the creation of new financial securities (e.g., CoCos) and new types of stakeholders (e.g., deposit insurers).
Book Synopsis Credit Risk: Modeling, Valuation and Hedging by : Tomasz R. Bielecki
Download or read book Credit Risk: Modeling, Valuation and Hedging written by Tomasz R. Bielecki and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motivation for the mathematical modeling studied in this text on developments in credit risk research is the bridging of the gap between mathematical theory of credit risk and the financial practice. Mathematical developments are covered thoroughly and give the structural and reduced-form approaches to credit risk modeling. Included is a detailed study of various arbitrage-free models of default term structures with several rating grades.
Book Synopsis Mathematics of Finance by : George Yin
Download or read book Mathematics of Finance written by George Yin and published by American Mathematical Soc.. This book was released on 2004 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers based on talks given at the first AMS-IMS-SIAM Joint Summer Research Conference on Mathematics of Finance held at Snowbird. This book includes such topics as modeling, estimation, optimization, control, and risk assessment and management. It is suitable for students interested in mathematical finance.
Book Synopsis Financial Derivatives Pricing: Selected Works Of Robert Jarrow by : Robert A Jarrow
Download or read book Financial Derivatives Pricing: Selected Works Of Robert Jarrow written by Robert A Jarrow and published by World Scientific. This book was released on 2008-10-08 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Louis Bachelier's Theory of Speculation by : Louis Bachelier
Download or read book Louis Bachelier's Theory of Speculation written by Louis Bachelier and published by Princeton University Press. This book was released on 2011-12-12 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: March 29, 1900, is considered by many to be the day mathematical finance was born. On that day a French doctoral student, Louis Bachelier, successfully defended his thesis Théorie de la Spéculation at the Sorbonne. The jury, while noting that the topic was "far away from those usually considered by our candidates," appreciated its high degree of originality. This book provides a new translation, with commentary and background, of Bachelier's seminal work. Bachelier's thesis is a remarkable document on two counts. In mathematical terms Bachelier's achievement was to introduce many of the concepts of what is now known as stochastic analysis. His purpose, however, was to give a theory for the valuation of financial options. He came up with a formula that is both correct on its own terms and surprisingly close to the Nobel Prize-winning solution to the option pricing problem by Fischer Black, Myron Scholes, and Robert Merton in 1973, the first decisive advance since 1900. Aside from providing an accurate and accessible translation, this book traces the twin-track intellectual history of stochastic analysis and financial economics, starting with Bachelier in 1900 and ending in the 1980s when the theory of option pricing was substantially complete. The story is a curious one. The economic side of Bachelier's work was ignored until its rediscovery by financial economists more than fifty years later. The results were spectacular: within twenty-five years the whole theory was worked out, and a multibillion-dollar global industry of option trading had emerged.
Book Synopsis Encyclopedia of Quantitative Risk Analysis and Assessment by :
Download or read book Encyclopedia of Quantitative Risk Analysis and Assessment written by and published by John Wiley & Sons. This book was released on 2008-09-02 with total page 2163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading the way in this field, the Encyclopedia of Quantitative Risk Analysis and Assessment is the first publication to offer a modern, comprehensive and in-depth resource to the huge variety of disciplines involved. A truly international work, its coverage ranges across risk issues pertinent to life scientists, engineers, policy makers, healthcare professionals, the finance industry, the military and practising statisticians. Drawing on the expertise of world-renowned authors and editors in this field this title provides up-to-date material on drug safety, investment theory, public policy applications, transportation safety, public perception of risk, epidemiological risk, national defence and security, critical infrastructure, and program management. This major publication is easily accessible for all those involved in the field of risk assessment and analysis. For ease-of-use it is available in print and online.
Author :CIME-EMS Summer School Publisher :Springer Science & Business Media ISBN 13 :9783540229537 Total Pages :328 pages Book Rating :4.2/5 (295 download)
Book Synopsis Stochastic Methods in Finance by : CIME-EMS Summer School
Download or read book Stochastic Methods in Finance written by CIME-EMS Summer School and published by Springer Science & Business Media. This book was released on 2004 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Processes and Applications to Mathematical Finance by : Jiro Akahori
Download or read book Stochastic Processes and Applications to Mathematical Finance written by Jiro Akahori and published by World Scientific. This book was released on 2006 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based around recent lectures given at the prestigious Ritsumeikan conference, the tutorial and expository articles contained in this volume are an essential guide for practitioners and graduates alike who use stochastic calculus in finance.Among the eminent contributors are Paul Malliavin and Shinzo Watanabe, pioneers of Malliavin Calculus. The coverage also includes a valuable review of current research on credit risks in a mathematically sophisticated way contrasting with existing economics-oriented articles.
Download or read book Credit Risk written by Marek Capiński and published by Cambridge University Press. This book was released on 2017 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This master's-level introduction to mainstream credit risk modelling balances rigorous theory with real-world, post-credit crisis examples.
Book Synopsis Computation and Combinatorics in Dynamics, Stochastics and Control by : Elena Celledoni
Download or read book Computation and Combinatorics in Dynamics, Stochastics and Control written by Elena Celledoni and published by Springer. This book was released on 2019-01-13 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics.
Book Synopsis Equity Hybrid Derivatives by : Marcus Overhaus
Download or read book Equity Hybrid Derivatives written by Marcus Overhaus and published by John Wiley & Sons. This book was released on 2007-02-02 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take an in-depth look at equity hybrid derivatives. Written by the quantitative research team of Deutsche Bank, the world leader in innovative equity derivative transactions, this book presents leading-edge thinking in modeling, valuing, and hedging for this market, which is increasingly used for investment by hedge funds. You'll gain a balanced, integrated presentation of theory and practice, with an emphasis on understanding new techniques for analyzing volatility and credit derivative transactions linked to equity. In every instance, theory is illustrated along with practical application. Marcus Overhaus, PhD, is Managing Director and Global Head of Quantitative Research and Equity Structuring. Ana Bermudez, PhD, is an Associate in Global Quantitative Research. Hans Buehler, PhD, is a Vice President in Global Quantitative Research. Andrew Ferraris, DPhil, is a Managing Director in Global Quantitative Research. Christopher Jordinson, PhD, is a Vice President in Global Quantitative Research. Aziz Lamnouar, DEA, is a Vice President in Global Quantitative Research. All are associated with Deutsche Bank AG, London.
Book Synopsis Quantitative Risk Management by : Alexander J. McNeil
Download or read book Quantitative Risk Management written by Alexander J. McNeil and published by Princeton University Press. This book was released on 2015-05-26 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management. Whether you are a financial risk analyst, actuary, regulator or student of quantitative finance, Quantitative Risk Management gives you the practical tools you need to solve real-world problems. Describing the latest advances in the field, Quantitative Risk Management covers the methods for market, credit and operational risk modelling. It places standard industry approaches on a more formal footing and explores key concepts such as loss distributions, risk measures and risk aggregation and allocation principles. The book's methodology draws on diverse quantitative disciplines, from mathematical finance and statistics to econometrics and actuarial mathematics. A primary theme throughout is the need to satisfactorily address extreme outcomes and the dependence of key risk drivers. Proven in the classroom, the book also covers advanced topics like credit derivatives. Fully revised and expanded to reflect developments in the field since the financial crisis Features shorter chapters to facilitate teaching and learning Provides enhanced coverage of Solvency II and insurance risk management and extended treatment of credit risk, including counterparty credit risk and CDO pricing Includes a new chapter on market risk and new material on risk measures and risk aggregation
Book Synopsis Peter Carr Gedenkschrift: Research Advances In Mathematical Finance by : Robert A Jarrow
Download or read book Peter Carr Gedenkschrift: Research Advances In Mathematical Finance written by Robert A Jarrow and published by World Scientific. This book was released on 2023-11-10 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Gedenkschrift for Peter Carr, our dear friend and colleague who suddenly left us on March 1, 2022, was organized to honor the life and lasting contributions of Peter to Quantitative Finance. A group of Peter's co-authors and professional friends contributed chapters for this Gedenkschrift shortly after his passing. The papers were received by September 15, 2022 and some were presented at the Peter Carr Gedenkschrift Conference held at the Robert H Smith School of Business on November 11, 2022. The contributed papers cover a wide range of topics corresponding to the vast range of Peter's interests. Each paper represents new research results in recognition of Peter's scholarly activities. The book serves as an important marker for the research knowledge existing at the time of the Gedenkschrift's publication on a number of topics within quantitative finance. It reflects the diverse interactions between mathematics and finance and illustrates, for those interested, the breadth and depth of this development. The book also presents a collection of tributes to Peter from family and friends including those made at his Memorial Service on March 19, 2022. The result is hopefully a more complete testament to a personal and professional life well lived, and unexpectedly cut short.
