A Classification of Two Factor Affine Diffusion Term Structure Models

A Classification of Two Factor Affine Diffusion Term Structure Models PDF Author: Christian Gouriéroux
Publisher:
ISBN:
Category :
Languages : en
Pages : 32

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A Classification of Two Factor Affine Diffusion Term Structure Models

A Classification of Two Factor Affine Diffusion Term Structure Models PDF Author: Christian Gouriéroux
Publisher:
ISBN:
Category :
Languages : en
Pages : 32

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A Classification of Two-Factor Affine Diffusion Term Structure Models

A Classification of Two-Factor Affine Diffusion Term Structure Models PDF Author: Razvan Sufana
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Dai and Singleton (2000) introduced a typology of affine diffusion models when the domain of admissible values of the factors is an intersection of half planes and under some additional constraints on the parameters. This condition on the domain and the additional sufficient constraints are restrictive and can considerably diminish the practical interest of affine models. In this article we successfully address the research agenda sketched by Duffie, Filipovic, Schachermayer (2003, section 12.2, p. 1042). A systematic investigation is performed and our article provides a complete typology in the two-factor case, without prior restrictions on the domain and on the parameters.

Advanced Financial Modelling

Advanced Financial Modelling PDF Author: Hansjörg Albrecher
Publisher: Walter de Gruyter
ISBN: 3110213133
Category : Finance
Languages : en
Pages : 465

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Book Description
Annotation This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a a ~Special Semester on Stochastics with Emphasis on Financea (TM) that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria

Handbook of Financial Econometrics

Handbook of Financial Econometrics PDF Author: Yacine Ait-Sahalia
Publisher: Elsevier
ISBN: 0080929842
Category : Business & Economics
Languages : en
Pages : 809

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Book Description
This collection of original articles—8 years in the making—shines a bright light on recent advances in financial econometrics. From a survey of mathematical and statistical tools for understanding nonlinear Markov processes to an exploration of the time-series evolution of the risk-return tradeoff for stock market investment, noted scholars Yacine Aït-Sahalia and Lars Peter Hansen benchmark the current state of knowledge while contributors build a framework for its growth. Whether in the presence of statistical uncertainty or the proven advantages and limitations of value at risk models, readers will discover that they can set few constraints on the value of this long-awaited volume. - Presents a broad survey of current research—from local characterizations of the Markov process dynamics to financial market trading activity - Contributors include Nobel Laureate Robert Engle and leading econometricians - Offers a clarity of method and explanation unavailable in other financial econometrics collections

Handbook of Fixed-Income Securities

Handbook of Fixed-Income Securities PDF Author: Pietro Veronesi
Publisher: John Wiley & Sons
ISBN: 1118709195
Category : Business & Economics
Languages : en
Pages : 630

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Book Description
A comprehensive guide to the current theories and methodologies intrinsic to fixed-income securities Written by well-known experts from a cross section of academia and finance, Handbook of Fixed-Income Securities features a compilation of the most up-to-date fixed-income securities techniques and methods. The book presents crucial topics of fixed income in an accessible and logical format. Emphasizing empirical research and real-life applications, the book explores a wide range of topics from the risk and return of fixed-income investments, to the impact of monetary policy on interest rates, to the post-crisis new regulatory landscape. Well organized to cover critical topics in fixed income, Handbook of Fixed-Income Securities is divided into eight main sections that feature: • An introduction to fixed-income markets such as Treasury bonds, inflation-protected securities, money markets, mortgage-backed securities, and the basic analytics that characterize them • Monetary policy and fixed-income markets, which highlight the recent empirical evidence on the central banks’ influence on interest rates, including the recent quantitative easing experiments • Interest rate risk measurement and management with a special focus on the most recent techniques and methodologies for asset-liability management under regulatory constraints • The predictability of bond returns with a critical discussion of the empirical evidence on time-varying bond risk premia, both in the United States and abroad, and their sources, such as liquidity and volatility • Advanced topics, with a focus on the most recent research on term structure models and econometrics, the dynamics of bond illiquidity, and the puzzling dynamics of stocks and bonds • Derivatives markets, including a detailed discussion of the new regulatory landscape after the financial crisis and an introduction to no-arbitrage derivatives pricing • Further topics on derivatives pricing that cover modern valuation techniques, such as Monte Carlo simulations, volatility surfaces, and no-arbitrage pricing with regulatory constraints • Corporate and sovereign bonds with a detailed discussion of the tools required to analyze default risk, the relevant empirical evidence, and a special focus on the recent sovereign crises A complete reference for practitioners in the fields of finance, business, applied statistics, econometrics, and engineering, Handbook of Fixed-Income Securities is also a useful supplementary textbook for graduate and MBA-level courses on fixed-income securities, risk management, volatility, bonds, derivatives, and financial markets. Pietro Veronesi, PhD, is Roman Family Professor of Finance at the University of Chicago Booth School of Business, where he teaches Masters and PhD-level courses in fixed income, risk management, and asset pricing. Published in leading academic journals and honored by numerous awards, his research focuses on stock and bond valuation, return predictability, bubbles and crashes, and the relation between asset prices and government policies.

Dynamic Term Structure Modeling

Dynamic Term Structure Modeling PDF Author: Sanjay K. Nawalkha
Publisher: John Wiley & Sons
ISBN: 0470140062
Category : Business & Economics
Languages : en
Pages : 722

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Book Description
Praise for Dynamic Term Structure Modeling "This book offers the most comprehensive coverage of term-structure models I have seen so far, encompassing equilibrium and no-arbitrage models in a new framework, along with the major solution techniques using trees, PDE methods, Fourier methods, and approximations. It is an essential reference for academics and practitioners alike." --Sanjiv Ranjan Das Professor of Finance, Santa Clara University, California, coeditor, Journal of Derivatives "Bravo! This is an exhaustive analysis of the yield curve dynamics. It is clear, pedagogically impressive, well presented, and to the point." --Nassim Nicholas Taleb author, Dynamic Hedging and The Black Swan "Nawalkha, Beliaeva, and Soto have put together a comprehensive, up-to-date textbook on modern dynamic term structure modeling. It is both accessible and rigorous and should be of tremendous interest to anyone who wants to learn about state-of-the-art fixed income modeling. It provides many numerical examples that will be valuable to readers interested in the practical implementations of these models." --Pierre Collin-Dufresne Associate Professor of Finance, UC Berkeley "The book provides a comprehensive description of the continuous time interest rate models. It serves an important part of the trilogy, useful for financial engineers to grasp the theoretical underpinnings and the practical implementation." --Thomas S. Y. Ho, PHD President, Thomas Ho Company, Ltd, coauthor, The Oxford Guide to Financial Modeling

Identification of Maximal Affine Term Structure Models

Identification of Maximal Affine Term Structure Models PDF Author: Pierre Collin-Dufresne
Publisher:
ISBN:
Category :
Languages : en
Pages : 53

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Book Description
Building on the approach of Duffie and Kan (1996) who use finite maturity yields as the state vector, we propose a new representation of affine models in which the state vector is composed of infinitesimal maturity yields and their quadratic covariations. Because these variables possess unambiguous economic interpretations, they generate a representation that is globally identifiable. Further, this representation is more flexible than the maximal model of Dai and Singleton (2000) in that there are more identifiable parameters. We implement this new representation for two different three-factor models. The fact that our state vector can be estimated model-independently from yield curve data presents advantages for the estimation and interpretation of multi-factor models.

Financial Market Risk

Financial Market Risk PDF Author: Cornelis Los
Publisher: Routledge
ISBN: 1134469322
Category : Business & Economics
Languages : en
Pages : 483

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Book Description
This book covers the latest theories and empirical findings of financial risk, its measurement and management, and its applications in the world of finance.

Term-Structure Models

Term-Structure Models PDF Author: Damir Filipovic
Publisher: Springer Science & Business Media
ISBN: 3540680152
Category : Mathematics
Languages : en
Pages : 259

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Book Description
Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.

Infinite Dimensional Affine Term Structure Models Under Incomplete Information

Infinite Dimensional Affine Term Structure Models Under Incomplete Information PDF Author: Weijun Yu
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
Abstract: The first part of the dissertation extends some important results in the classical theory of finite dimensional affine processes to infinite dimensional separable Hilbert spaces. In particular, a necessary and sufficient condition for a continuous Markov diffusion process to be affine is given. Based on the extended theory, two affine term structure models are introduced and the existence and uniqueness of the two models are studied. The second part concentrates on a non-linear filtering problem with infinite dimensional observations and the Kushner-Stratonovich equation under the infinite dimensional observation setting is derived. Finally, the obtained results are applied to study the Kalman-Bucy filter with infinite dimensional observations. It is proved that the filter has a Gaussian distribution and the evolution equations of the mean and the covariance of the filter are deduced from the Kushner-Stratonovich equation