Levy Processes in Credit Risk

Levy Processes in Credit Risk PDF Author: Wim Schoutens
Publisher: John Wiley & Sons
ISBN: 0470685069
Category : Business & Economics
Languages : en
Pages : 213

Get Book Here

Book Description
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.

Levy Processes in Credit Risk

Levy Processes in Credit Risk PDF Author: Wim Schoutens
Publisher: John Wiley & Sons
ISBN: 0470685069
Category : Business & Economics
Languages : en
Pages : 213

Get Book Here

Book Description
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.

Credit Risk Models with Lévy Processes

Credit Risk Models with Lévy Processes PDF Author: Ling Luo
Publisher:
ISBN:
Category : Credit
Languages : en
Pages : 262

Get Book Here

Book Description


Lévy Processes in Credit Risk and Market Models

Lévy Processes in Credit Risk and Market Models PDF Author: Fehmi Özkan
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Get Book Here

Book Description


An Intensity Model for Credit Risk with Switching Lévy Processes

An Intensity Model for Credit Risk with Switching Lévy Processes PDF Author: Donatien Hainaut
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

Get Book Here

Book Description
We develop a switching regime version of the intensity model for credit risk pricing. The default event is specified by a Poisson process whose intensity is modeled by a switching Lévy process. This model presents several interesting features. Firstly, as Lévy processes encompass numerous jump processes, our model can duplicate sudden jumps observed in credit spreads. Also, due to the presence of jumps, probabilities do not vanish at very short maturities, contrary to models based on Brownian dynamics. Furthermore, as parameters of the Lévy process are modulated by a hidden Markov chain, our approach is well suited to model changes of volatility trends in credit spreads, related to modifications of unobservable economic factors.

Time-inhomogeneous Lévy Processes in Interest Rate and Credit Risk Models

Time-inhomogeneous Lévy Processes in Interest Rate and Credit Risk Models PDF Author: Wolfgang Kluge
Publisher:
ISBN:
Category :
Languages : en
Pages : 131

Get Book Here

Book Description


A General Framework for Term Structure and Credit Risk Models Driven by Lévy Processes

A General Framework for Term Structure and Credit Risk Models Driven by Lévy Processes PDF Author: Jorge L. Hernández
Publisher:
ISBN:
Category :
Languages : en
Pages : 166

Get Book Here

Book Description


Martingale Estimation of Lévy Processes and Its Extension to Structural Credit Risk Models

Martingale Estimation of Lévy Processes and Its Extension to Structural Credit Risk Models PDF Author: Ho Man Lam
Publisher:
ISBN:
Category : Credit
Languages : en
Pages : 86

Get Book Here

Book Description


A Structural Model for Credit Risk with Markov Modulated Lévy Processes and Synchronous Jumps

A Structural Model for Credit Risk with Markov Modulated Lévy Processes and Synchronous Jumps PDF Author: Donatien Hainaut
Publisher:
ISBN:
Category :
Languages : en
Pages : 18

Get Book Here

Book Description
This paper presents a switching regime version of the Merton's structural model for the pricing of default risk. The default event depends on the total value of the firm's asset modeled by a Markov modulated Lévy process. The novelty of our approach is to consider that firm's asset jumps synchronously with a change in the regime. After a discussion of dynamics under the risk neutral measure, we present two models. In the first one, the default occurs at bond maturity if the firm's value falls below a predetermined barrier. In the second version, the company can bankrupt at multiple predetermined discrete times. The use of a Markov chain to model switches in hidden external factors makes it possible to capture the effects of changes in trends and volatilities exhibited by default probabilities. Finally, with synchronous jumps, the firm's asset and state processes are no longer uncorrelated.

Credit Risk: Modeling, Valuation and Hedging

Credit Risk: Modeling, Valuation and Hedging PDF Author: Tomasz R. Bielecki
Publisher: Springer Science & Business Media
ISBN: 3662048213
Category : Business & Economics
Languages : en
Pages : 517

Get Book Here

Book Description
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.

Financial Modelling with Jump Processes

Financial Modelling with Jump Processes PDF Author: Peter Tankov
Publisher: CRC Press
ISBN: 1135437947
Category : Business & Economics
Languages : en
Pages : 552

Get Book Here

Book Description
WINNER of a Riskbook.com Best of 2004 Book Award! During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematic