Download or read book Counterparty Credit Risk in a Multivariate Structural Model with Jumps written by Laura Ballotta and published by . This book was released on 2014 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a multivariate version of a structural default model with jumps and use it in order to quantify the bilateral credit value adjustment and the bilateral debt value adjustment for equity contracts, such as forwards, in a Merton-type default setting. In particular, we explore the impact of changing correlation between names on these adjustments and study the effect of wrong-way and right-way risk.
Download or read book A Structural Model for Credit Risk with Markov Modulated L vy Processes and Synchronous Jumps written by Donatien Hainaut and published by . This book was released on 2014 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Introduction to Credit Risk Modeling written by Christian Bluhm and published by CRC Press. This book was released on 2016-04-19 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains Nearly 100 Pages of New MaterialThe recent financial crisis has shown that credit risk in particular and finance in general remain important fields for the application of mathematical concepts to real-life situations. While continuing to focus on common mathematical approaches to model credit portfolios, Introduction to Credit Risk Modelin
Download or read book Credit Risk Modeling written by Ayhan Yuksel and published by LAP Lambert Academic Publishing. This book was released on 2010 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the modeling of credit risk by using a structural approach. Three fundamental questions of credit risk literature are analyzed throughout the book: modeling single firm credit risk, modeling portfolio credit risk and credit risk pricing. First we analyze these questions under the assumptions that firm value follows a geometric Brownian motion and the interest rates are constant. We discuss the weaknesses of the geometric Brownian motion assumption in explaining empirical properties of real data. Then we propose a new extended model in which asset value, volatility and interest rates follow affine jump diffusion processes. In our extended model volatility is stochastic, asset value and volatility has correlated jumps and interest rates are stochastic and have jumps. Finally, we analyze the modeling of single firm credit risk and credit risk pricing by using our extended model and show how our model can be used as a solution for the problems we encounter with simple models.
Download or read book Counterparty Credit Risk Collateral and Funding written by Damiano Brigo and published by John Wiley & Sons. This book was released on 2013-04-22 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book's content is focused on rigorous and advanced quantitative methods for the pricing and hedging of counterparty credit and funding risk. The new general theory that is required for this methodology is developed from scratch, leading to a consistent and comprehensive framework for counterparty credit and funding risk, inclusive of collateral, netting rules, possible debit valuation adjustments, re-hypothecation and closeout rules. The book however also looks at quite practical problems, linking particular models to particular 'concrete' financial situations across asset classes, including interest rates, FX, commodities, equity, credit itself, and the emerging asset class of longevity. The authors also aim to help quantitative analysts, traders, and anyone else needing to frame and price counterparty credit and funding risk, to develop a 'feel' for applying sophisticated mathematics and stochastic calculus to solve practical problems. The main models are illustrated from theoretical formulation to final implementation with calibration to market data, always keeping in mind the concrete questions being dealt with. The authors stress that each model is suited to different situations and products, pointing out that there does not exist a single model which is uniformly better than all the others, although the problems originated by counterparty credit and funding risk point in the direction of global valuation. Finally, proposals for restructuring counterparty credit risk, ranging from contingent credit default swaps to margin lending, are considered.
Download or read book Estimating Jumps for Structural Models of Credit Risk written by Chin Pang Li and published by . This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Credit Risk Valuation written by Manuel Ammann and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advanced Credit Risk Analysis written by Didier Cossin and published by John Wiley & Sons. This book was released on 2001 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Credit Analysis presents the latest and most advanced modelling techniques in the theory and practice of credit risk pricing and management. The book stresses the logic of theoretical models from the structural and the reduced-form kind, their applications and extensions. It shows the mathematical models that help determine optimal collateralisation and marking-to-market policies. It looks at modern credit risk management tools and the current structuring techniques available with credit derivatives.
Download or read book Advances in Credit Risk Modeling and Management written by Frédéric Vrins and published by MDPI. This book was released on 2020-07-01 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Credit risk remains one of the major risks faced by most financial and credit institutions. It is deeply connected to the real economy due to the systemic nature of some banks, but also because well-managed lending facilities are key for wealth creation and technological innovation. This book is a collection of innovative papers in the field of credit risk management. Besides the probability of default (PD), the major driver of credit risk is the loss given default (LGD). In spite of its central importance, LGD modeling remains largely unexplored in the academic literature. This book proposes three contributions in the field. Ye & Bellotti exploit a large private dataset featuring non-performing loans to design a beta mixture model. Their model can be used to improve recovery rate forecasts and, therefore, to enhance capital requirement mechanisms. François uses instead the price of defaultable instruments to infer the determinants of market-implied recovery rates and finds that macroeconomic and long-term issuer specific factors are the main determinants of market-implied LGDs. Cheng & Cirillo address the problem of modeling the dependency between PD and LGD using an original, urn-based statistical model. Fadina & Schmidt propose an improvement of intensity-based default models by accounting for ambiguity around both the intensity process and the recovery rate. Another topic deserving more attention is trade credit, which consists of the supplier providing credit facilities to his customers. Whereas this is likely to stimulate exchanges in general, it also magnifies credit risk. This is a difficult problem that remains largely unexplored. Kanapickiene & Spicas propose a simple but yet practical model to assess trade credit risk associated with SMEs and microenterprises operating in Lithuania. Another topical area in credit risk is counterparty risk and all other adjustments (such as liquidity and capital adjustments), known as XVA. Chataignier & Crépey propose a genetic algorithm to compress CVA and to obtain affordable incremental figures. Anagnostou & Kandhai introduce a hidden Markov model to simulate exchange rate scenarios for counterparty risk. Eventually, Boursicot et al. analyzes CoCo bonds, and find that they reduce the total cost of debt, which is positive for shareholders. In a nutshell, all the featured papers contribute to shedding light on various aspects of credit risk management that have, so far, largely remained unexplored.
Download or read book Credit Risk written by Niklas Wagner and published by CRC Press. This book was released on 2008-05-28 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring contributions from leading international academics and practitioners, Credit Risk: Models, Derivatives, and Management illustrates how a risk management system can be implemented through an understanding of portfolio credit risks, a set of suitable models, and the derivation of reliable empirical results. Divided into six sectio
Download or read book Estimating Jump Diffusion Structural Credit Risk Models written by Hoi Ying Wong and published by . This book was released on 2006 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is strong evidence that structural models of credit risk significantly underestimate both credit yield spreads and the probability of default if the value of corporate assets follows a diffusion process. Adding a jump component to the firm value process is a potential remedy for the underestimation. However, there are very few empirical studies of jump-diffusion (or Levy) structural models in the literature. The major challenge is the estimation of hidden variables, such as the firm value, volatility, and parameters of the jump component, as the value of corporate assets is not directly observable. In practice, parameters and the value of the firm should be estimated using the market values of equities. This paper provides a promising estimation method for jump-diffusion processes in structural models that are based on observed stock data. We show that the traditional estimation methods for structural models, the variance-restriction method and maximum likelihood estimation, fail when jumps appear in credit risk models. We then propose a penalized likelihood approach and devise a corresponding expectationmaximum algorithm. The approach is applied to the jump-diffusion processes of Merton (1976) and Kou (2002) and the performance is examined through a series of simulations and empirical data.
Download or read book Credit Risk Pricing Models written by Bernd Schmid and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Credit Risk Pricing Models - now in its second edition - gives a deep insight into the latest basic and advanced credit risk modelling techniques covering not only the standard structural, reduced form and hybrid approaches but also showing how these methods can be applied to practice. The text covers a broad range of financial instruments, including all kinds of defaultable fixed and floating rate debt, credit derivatives and collateralised debt obligations.This volume will be a valuable source for the financial community involved in pricing credit linked financial instruments. In addition, the book can be used by students and academics for a comprehensive overview of the most important credit risk modelling issues.
Download or read book Credit Risk Recent Advances written by Martin Knoch and published by diplom.de. This book was released on 1999-11-12 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inhaltsangabe:Abstract: We discuss the main approaches to quantify the risk of losses arising from a defaulting counterparty to a financial transaction that have been developed over the last 25 years. Every existing method faces major problems in assessing the numerous and partly non-observable factors influencing credit risk. One shortcoming common to all methods is the classical normal assumption for interest rate changes and asset returns. Therefore we suggest the introduction of stable Paretian models to yield more realistic credit spreads. Inhaltsverzeichnis:Table of Contents: 1.Introduction 2.Basic Properties of Credit Risk Models 2.1Financial Position 2.2Default Probability 2.3The Price Of Credit Risk 3.Structural Models 3.1Structural Models With Constant Interest Rates 3.2Structural Models With Stochastic Interest Rates 4.Reduced Form Models 4.1Terminology of Reduced Form Models 4.1.1Credit Risk and Credit Events 4.1.2Rating Categories and Transition Matrices 4.2Reduced Form Modesl With Default Rates 4.3Reduced Form Models With Rating Transitions 4.3.1Modelling Rating Histories With Markov Chains 4.3.2The Introduction of Pseudo-Probabilities 4.3.3Parameter Estimation 5.Models With Implied Credit Spread 6.Hybrid Models 6.1Rating Transitions 6.2Forward Prices 6.3The Distribution of Values 6.3.1Distributions in Credit Risk and Market Risk Measurement 6.4Expected Loss 6.5Unexpected Loss 6.6Example 7.Rating Categories 7.1Alternative Credit Analysis And Rating Methodology 7.2Example. Standard&Poor s Corporate Rating 7.2.1Rating Categories 7.2.2The Rating Process 7.2.3Credit Analysis Factors 7.3Split Ratings 8.Transition Matrices 8.1Default Probabilities 8.1.1Estimating Default Probabilities 8.1.2Errors Arising From Default Estimation 8.1.3Refining Rating Categories 8.2Properties of Transition Matrices in a Markov Model 8.2.1The Markov Property 8.2.2Monotonicity of Rating Transitions 8.2.3Adjusting Transition Matrices for the Markov Property and Monotonicity 8.3Conditional Rating Migrations 9.Recovery Rates 10.The Term Structure of Credit Spreads 10.1Risk Factors With An Impact On Credit Spreads 10.2Volatility of Credit Spreads 10.2.1The Distribution of Yield Spreads 11.Challenges in Assessing Portfolio Credit Risk 11.1Joint Rating Migrations 11.2Expected and Unexpected Losses of a Portfolio 11.3Estimating Correlations 11.4Monte Carlo Simulation 12Assessing Credit Risk With Stable [...]
Download or read book Modeling Credit Risk and Pricing Credit Derivatives written by Martin P. Wolf and published by Universal-Publishers. This book was released on 2002-02-17 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multivariate First Passage Models in Credit Risk written by Adam Metzler and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Levy Processes in Credit Risk written by Wim Schoutens and published by Wiley. This book was released on 2009-08-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
