Systematic Risk in Recovery Rates

Systematic Risk in Recovery Rates

Author: Klaus Duellmann

Publisher:

Published: 2016

Total Pages: 53

ISBN-13:

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This paper presents an analytical and empirical analysis of a parsimonious model framework that accounts for a dependence of bond and bank loan recoveries on systematic risk. We extend the single risk factor model by assuming that the recovery rates also depend on this risk factor and follow a logit?normal distribution. The results are compared with those of two related models, suggested in Frye (2000) and Pykhtin (2003), which pose the assumption of a normal and a log-normal distribution of recovery rates. We provide estimators of the parameters of the asset value process and their standard errors in closed form. For the parameters of the recovery rate distribution we also provide closed-form solutions of a feasible maximum-likelihood estimator for the three models. The model parameters are estimated from default frequencies and recovery rates that were extracted from a bond and loan database of Standard&Poor's. We estimate the correlation between recovery rates and the systematic risk factor and determine the impact on economic capital. Furthermore, the impact of measuring recovery rates from market prices at default and from prices at emergence from default is analysed. As a robustness check for the empirical results of the maximum-likelihood estimation method we also employ a method-of-moments. Our empirical results indicate that systematic risk is a major factor influencing recovery rates. The calculation of a default?weighted recovery rate without further consideration of this factor may lead to downward-biased estimates of economic capital. Recovery rates measured from market prices at default are generally lower and more sensitive to changes of the systematic risk factor than are recovery rates determined at emergence from default. The choice between these two measurement methods has a stronger impact on the expected recovery rates and the economic capital than introducing a dependency of recovery rates on systematic risk in the single risk factor model.


An Empirical Analysis of Bond Recovery Rates

An Empirical Analysis of Bond Recovery Rates

Author: Daniel M. Covitz

Publisher:

Published: 2005

Total Pages: 74

ISBN-13:

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"A frictionless, structural view of default has the unrealistic implication that recovery rates on bonds, measured at default, should be close to 100 percent. This suggests that standard "frictions" such as default delays, corporate-valuation jumps, and bankruptcy costs may be important drivers of recovery rates. A structural view also suggests the existence of nonlinearities in the empirical relationship between recovery rates and their determinants. We explore these implications empirically and find direct evidence of jumps, and also evidence of the predicted nonlinearities. In particular, recovery rates increase as economic conditions improve from low levels, but decrease as economic conditions become robust. This suggests that improving economic conditions tend to boost firm values, but firms may tend to default during particularly robust times only when they have experienced large, negative shocks"--Abstract.


Recovery Risk

Recovery Risk

Author: Edward I. Altman

Publisher: Bloomberg Press

Published: 2005-01-01

Total Pages: 364

ISBN-13: 9781904339502

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In this ground-breaking new title, Risk Books brings together three prominent editors to provide a timely reference text on loss given default (LGD) measurement and management and the requirements of the Basel II Capital Accord.


Advances in Credit Risk Modelling and Corporate Bankruptcy Prediction

Advances in Credit Risk Modelling and Corporate Bankruptcy Prediction

Author: Stewart Jones

Publisher: Cambridge University Press

Published: 2008-09-25

Total Pages: 0

ISBN-13: 0521869285

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A thorough compendium of credit risk modelling approaches, including several new techniques that extend the horizons of future research and practice. Models and techniques are illustrated with empirical examples and are accompanied by a careful explanation of model derivation issues. An ideal resource for academics, practitioners and regulators.


Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes)

Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes)

Author: Cheng Few Lee

Publisher: World Scientific

Published: 2020-07-30

Total Pages: 5053

ISBN-13: 9811202400

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This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.


Debt's Dominion

Debt's Dominion

Author: David A. Skeel Jr.

Publisher: Princeton University Press

Published: 2014-04-24

Total Pages: 296

ISBN-13: 1400828503

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Bankruptcy in America, in stark contrast to its status in most other countries, typically signifies not a debtor's last gasp but an opportunity to catch one's breath and recoup. Why has the nation's legal system evolved to allow both corporate and individual debtors greater control over their fate than imaginable elsewhere? Masterfully probing the political dynamics behind this question, David Skeel here provides the first complete account of the remarkable journey American bankruptcy law has taken from its beginnings in 1800, when Congress lifted the country's first bankruptcy code right out of English law, to the present day. Skeel shows that the confluence of three forces that emerged over many years--an organized creditor lobby, pro-debtor ideological currents, and an increasingly powerful bankruptcy bar--explains the distinctive contours of American bankruptcy law. Their interplay, he argues in clear, inviting prose, has seen efforts to legislate bankruptcy become a compelling battle royale between bankers and lawyers--one in which the bankers recently seem to have gained the upper hand. Skeel demonstrates, for example, that a fiercely divided bankruptcy commission and the 1994 Republican takeover of Congress have yielded the recent, ideologically charged battles over consumer bankruptcy. The uniqueness of American bankruptcy has often been noted, but it has never been explained. As different as twenty-first century America is from the horse-and-buggy era origins of our bankruptcy laws, Skeel shows that the same political factors continue to shape our unique response to financial distress.


Sovereign Debt Restructurings 1950-2010

Sovereign Debt Restructurings 1950-2010

Author: Mr.Udaibir S. Das

Publisher: International Monetary Fund

Published: 2012-08-01

Total Pages: 128

ISBN-13: 1475505531

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This paper provides a comprehensive survey of pertinent issues on sovereign debt restructurings, based on a newly constructed database. This is the first complete dataset of sovereign restructuring cases, covering the six decades from 1950–2010; it includes 186 debt exchanges with foreign banks and bondholders, and 447 bilateral debt agreements with the Paris Club. We present new stylized facts on the outcome and process of debt restructurings, including on the size of haircuts, creditor participation, and legal aspects. In addition, the paper summarizes the relevant empirical literature, analyzes recent restructuring episodes, and discusses ongoing debates on crisis resolution mechanisms, credit default swaps, and the role of collective action clauses.


The Oxford Handbook of Credit Derivatives

The Oxford Handbook of Credit Derivatives

Author: Alexander Lipton

Publisher: OUP Oxford

Published: 2013-01-17

Total Pages: 828

ISBN-13: 0191648256

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From the late 1990s, the spectacular growth of a secondary market for credit through derivatives has been matched by the emergence of mathematical modelling analysing the credit risk embedded in these contracts. This book aims to provide a broad and deep overview of this modelling, covering statistical analysis and techniques, modelling of default of both single and multiple entities, counterparty risk, Gaussian and non-Gaussian modelling, and securitisation. Both reduced-form and firm-value models for the default of single entities are considered in detail, with extensive discussion of both their theoretical underpinnings and practical usage in pricing and risk. For multiple entity modelling, the now notorious Gaussian copula is discussed with analysis of its shortcomings, as well as a wide range of alternative approaches including multivariate extensions to both firm-value and reduced form models, and continuous-time Markov chains. One important case of multiple entities modelling - counterparty risk in credit derivatives - is further explored in two dedicated chapters. Alternative non-Gaussian approaches to modelling are also discussed, including extreme-value theory and saddle-point approximations to deal with tail risk. Finally, the recent growth in securitisation is covered, including house price modelling and pricing models for asset-backed CDOs. The current credit crisis has brought modelling of the previously arcane credit markets into the public arena. Lipton and Rennie with their excellent team of contributors, provide a timely discussion of the mathematical modelling that underpins both credit derivatives and securitisation. Though technical in nature, the pros and cons of various approaches attempt to provide a balanced view of the role that mathematical modelling plays in the modern credit markets. This book will appeal to students and researchers in statistics, economics, and finance, as well as practitioners, credit traders, and quantitative analysts


Market Liquidity

Market Liquidity

Author: Thierry Foucault

Publisher: Oxford University Press

Published: 2023

Total Pages: 531

ISBN-13: 0197542069

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"The process by which securities are traded is very different from the idealized picture of a frictionless and self-equilibrating market offered by the typical finance textbook. This book offers a more accurate and authoritative take on this process. The book starts from the assumption that not everyone is present at all times simultaneously on the market, and that participants have quite diverse information about the security's fundamentals. As a result, the order flow is a complex mix of information and noise, and a consensus price only emerges gradually over time as the trading process evolves and the participants interpret the actions of other traders. Thus, a security's actual transaction price may deviate from its fundamental value, as it would be assessed by a fully informed set of investors. The book takes these deviations seriously, and explains why and how they emerge in the trading process and are eventually eliminated. The authors draw on a vast body of theoretical insights and empirical findings on security price formation that have come to form a well-defined field within financial economics known as "market microstructure." Focusing on liquidity and price discovery, the book analyzes the tension between the two, pointing out that when price-relevant information reaches the market through trading pressure rather than through a public announcement, liquidity may suffer. It also confronts many striking phenomena in securities markets and uses the analytical tools and empirical methods of market microstructure to understand them. These include issues such as why liquidity changes over time and differs across securities, why large trades move prices up or down, and why these price changes are subsequently reversed, and why we observe temporary deviations from asset fair values"--


Advances in Credit Risk Modeling and Management

Advances in Credit Risk Modeling and Management

Author: Frédéric Vrins

Publisher: MDPI

Published: 2020-07-01

Total Pages: 190

ISBN-13: 3039287605

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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.