A General Framework For Term Structure And Credit Risk Models Driven By L Vy Processes

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A General Framework For Term Structure And Credit Risk Models Driven By L Vy Processes

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Author : Jorge L. Hernández
language : en
Publisher:
Release Date : 2003

A General Framework For Term Structure And Credit Risk Models Driven By L Vy Processes written by Jorge L. Hernández and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.

Levy Processes In Credit Risk

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Author : Wim Schoutens
language : en
Publisher: John Wiley & Sons
Release Date : 2010-06-15

Levy Processes In Credit Risk written by Wim Schoutens and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-15 with Business & Economics categories.

This book is an introductory guide to using Lévy processes for credit risk modelling. It covers all types of credit derivatives: from the single name vanillas such as Credit Default Swaps (CDSs) right through to structured credit risk products such as Collateralized Debt Obligations (CDOs), Constant Proportion Portfolio Insurances (CPPIs) and Constant Proportion Debt Obligations (CPDOs) as well as new advanced rating models for Asset Backed Securities (ABSs). Jumps and extreme events are crucial stylized features, essential in the modelling of the very volatile credit markets - the recent turmoil in the credit markets has once again illustrated the need for more refined models. Readers will learn how the classical models (driven by Brownian motions and Black-Scholes settings) can be significantly improved by using the more flexible class of Lévy processes. By doing this, extreme event and jumps can be introduced into the models to give more reliable pricing and a better assessment of the risks. The book brings in high-tech financial engineering models for the detailed modelling of credit risk instruments, setting up the theoretical framework behind the application of Lévy Processes to Credit Risk Modelling before moving on to the practical implementation. Complex credit derivatives structures such as CDOs, ABSs, CPPIs, CPDOs are analysed and illustrated with market data.

A General Framework For Incorporating Stochastic Recovery In Structural Models Of Credit Risk

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Author : Albert Cohen
language : en
Publisher:
Release Date : 2018

A General Framework For Incorporating Stochastic Recovery In Structural Models Of Credit Risk written by Albert Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.

In this work, we introduce a general framework for incorporating stochastic recovery into structural models. The framework extends the approach to recovery modeling developed in Cohen and Costanzino (2015, 2017) and provides for a systematic way to include different recovery processes into a structural credit model. The key observation is a connection between the partial information gap between firm manager and the market that is captured via a distortion of the probability of default. This last feature is computed by what is essentially a Girsanov transformation and reflects untangling of the recovery process from the default probability. Our framework can be thought of as an extension of Ishizaka and Takaoka (2003) and, in the same spirit of their work, we provide several examples of the framework including bounded recovery and a jump-to-zero model. One of the nice features of our framework is that, given prices from any one-factor structural model, we provide a systematic way to compute corresponding prices with stochastic recovery. The framework also provides a way to analyze correlation between Probability of Default (PD) and Loss Given Default (LGD), and term structure of recovery rates.

Dynamic Term Structure Modeling Beyond The Paradigm Of Absolute Continuity

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Author : Sandrine Gümbel
language : en
Publisher:
Release Date : 2019*

Dynamic Term Structure Modeling Beyond The Paradigm Of Absolute Continuity written by Sandrine Gümbel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019* with categories.

Abstract: This thesis is devoted to the study of term structure modeling in interest rate markets and defaultable term structure modeling in credit risk markets. Post-crisis interest rate markets possess two main characteristics: multiple curves and discontinuities. While a lot of effort has been put in the study of the former, there is one crucial feature of discontinuities, which we will call stochastic. discontinuities, whose investigation seems to be lacking in the interest rate literature so far. This concept of discontinuities has recently been studied in a credit risk framework in Fontana and Schmidt (2018) and Gehmlich and Schmidt (2018). Stochastic discontinuities describe jumps in the underlying interest rates or processes depicting events occurring at announced dates but with a possibly unanticipated outcome. This type of events is clearly present in interest rates, as can be evidenced by jumps in the underlying rates in correspondence with meetings of the European Central Bank. We provide a general analysis of the term structure modeling of multiple curves with the presence of stochastic discontinuities and derive conditions to ensure absence of arbitrage. In particular, we provide an extended Heath-Jarrow-Morton formulation with semimartingales as driving processes. Beyond that, a general market model approach is investigated and some insightful examples in an affine framework are presented in order to show the potential of this approach. Bond prices are calibrated in a Vasi cek framework by means of machine learning techniques adapted to Gaussian processes. In credit risk we are concerned with securities that are subject to default risk. We present a general analysis of the term structure modeling of defaultable bonds allowing for discontinuities. In particular, we derive conditions to ensure absence of arbitrage in the credit risky financial market in an extended Heath-Jarrow-Morton framework with semimartingales as driving processes. We provide a similar characterization for defaultable bonds with recovery.

Credit Risk Modeling Valuation And Hedging

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Author : Tomasz R. Bielecki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Credit Risk Modeling Valuation And Hedging written by Tomasz R. Bielecki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Business & Economics categories.

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.

Modeling Credit Risk And Pricing Credit Derivatives

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Author : Martin P. Wolf
language : en
Publisher: Universal-Publishers
Release Date : 2002-02-17

Modeling Credit Risk And Pricing Credit Derivatives written by Martin P. Wolf and has been published by Universal-Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-17 with Business & Economics categories.

The thesis starts with a short description of the credit derivatives' place in the credit risk management. Then it proceeds by outlining the basic forms of credit derivatives, their applications, and their contract elements. A short description of the two common pricing frameworks for credit derivatives, the Firm's Value Models and the Credit Rating Transition Models is given. The major approach reviewed in this thesis is the one of Duffie-Singleton for valuing credit derivatives with term structure models. This framework is also applied in a simulation and examines the importance of the different parameters on the outcome. Also examples for the valuation of Default Digital Swaps and Puts as well as Credit Default Swaps and Puts are given.

Term Structure Models

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Author : Damir Filipovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-28

Term Structure Models written by Damir Filipovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-28 with Mathematics categories.

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.

Term Structure Models With Parallel And Proportional Shifts

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Author : Frederik Armerin
language : en
Publisher:
Release Date : 2005

Term Structure Models With Parallel And Proportional Shifts written by Frederik Armerin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

We investigate the possibility of an arbitrage free model for the term structure of interest rates where the yield curve only changes through a parallel shift. We consider HJM type forward rate models driven by a multidimensionalWiener process as well as by a general marked point process. Within this general framework we show that there does indeed exist a large variety of nontrivial parallel shift term structure models, and we also describe these in detail. We also show that there exists no nontrivial flat term structure model. The same analysis is repeated for the similar case, where the yield curve only changes through proportional shifts. Key words: bond market, term structure of interest rates, flat term structures.

Credit Risk Valuation

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Author : Manuel Ammann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Credit Risk Valuation written by Manuel Ammann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Business & Economics categories.

This book offers an advanced introduction to models of credit risk valuation, concentrating on firm-value and reduced-form approaches and their application. Also included are new models for valuing derivative securities with credit risk. The book provides detailed descriptions of the state-of-the-art martingale methods and advanced numerical implementations based on multivariate trees used to price derivative credit risk. Numerical examples illustrate the effects of credit risk on the prices of financial derivatives.

Credit Correlation

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Author : Alexander Lipton
language : en
Publisher: World Scientific
Release Date : 2008

Credit Correlation written by Alexander Lipton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Business & Economics categories.

The recent growth of credit derivatives has been explosive. The global credit derivatives market grew in notional value from $1 trillion to $20 trillion from 2000 to 2006. However, understanding the true nature of these instruments still poses both theoretical and practical challenges. For a long time now, the framework of Gaussian copulas parameterized by correlation, and more recently base correlation, has provided an adequate, if unintuitive, description of the market. However, the increased liquidity in credit indices and index tranches, as well as the proliferation of exotic instruments such as forward starting tranches, options on tranches, leveraged super senior tranches, and the like, have made it imperative to come up with models that describe market reality better. This book, originally and concurrently published in the International Journal of Theoretical and Applied Finance, Vol. 10, No. 4, 2007, agrees that base correlation has outlived its usefulness; opinions of how to replace it, however, are divided. Both the top-down and bottom-up approaches for describing the dynamics of credit baskets are presented, and pro and contra arguments are put forward. Readers will decide which direction is the most promising one at the moment. However, it is hoped that, in the near future, models that transcend base correlation will be proposed and accepted by the market. Sample Chapter(s). Introduction (31 KB). Chapter 1: L(r)vy Simples Tructural Models (209 KB). Contents: L(r)vy Simple Structural Models (M Baxter); Cluster-Based Extension of the Generalized Poisson Loss Dynamics and Consistency with Single Names (D Brigo et al.); Stochastic Intensity Modeling for Structured Credit Exotics (A Chaposvsky et al.); Large Portfolio Credit Risk Modeling (M H A Davis & J C Esparragoza-Rodriguez); Empirical Copulas for CDO Tranche Pricing Using Relative Entropy (M A H Dempster et al.); Pricing and Hedging in a Dynamic Credit Model (Y Elouerkhaoui); Joint Distributions of Portfolio Losses and Exotic Portfolio Products (F Epple et al.); On the Term Structure of Loss Distributions: A Forward Model Approach (J Sidenius). Readership: Professionals, academics and students in the areas of finance and bank