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Is The Jump Diffusion Model A Good Solution For Credit Risk Modeling The Case Of Convertible Bonds
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Book Synopsis Is the Jump-Diffusion Model a Good Solution for Credit Risk Modeling? The Case of Convertible Bonds by : Tim Xiao
Download or read book Is the Jump-Diffusion Model a Good Solution for Credit Risk Modeling? The Case of Convertible Bonds written by Tim Xiao and published by . This book was released on 2015 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper argues that the reduced-form jump diffusion model may not be appropriate for credit risk modeling. To correctly value hybrid defaultable financial instruments, e.g., convertible bonds, we present a new framework that relies on the probability distribution of a default jump rather than the default jump itself, as the default jump is usually inaccessible. The model is quite accurate. A prevailing belief in the market is that convertible arbitrage is mainly due to convertible underpricing. Empirically, however, we do not find evidence supporting the underpricing hypothesis. Instead, we find that convertibles have relatively large position gammas. As a typical convertible arbitrage strategy employs delta-neutral hedging, a large positive gamma can make the portfolio high profitable, especially for a large movement in the underlying stock price.
Book Synopsis Symmetries in Jump-diffusion Models with Applications in Option Pricing and Credit Risk by : Jiri Kamiel Hoogland
Download or read book Symmetries in Jump-diffusion Models with Applications in Option Pricing and Credit Risk written by Jiri Kamiel Hoogland and published by . This book was released on 2002 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Jump-diffusion Approach to Modeling Credit Risk and Valuing Defaultable Securities by : Chunsheng Zhou
Download or read book A Jump-diffusion Approach to Modeling Credit Risk and Valuing Defaultable Securities written by Chunsheng Zhou and published by . This book was released on 1997 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Black and Scholes (1973) and Merton (1974), structural models of credit risk have relied almost exclusively on diffusion processes to model the evolution of firm value. While a diffusion approach is convenient, in empirical application, it has produced very disappointing results. Jones, Mason, and Rosenfeld (1984) find that the credit spreads on corporate bonds are too high to be matched by the diffusion approach. Also, because the instantaneous default probability of a healthy firm is zero under a continuous process, the diffusion approach predicts that the term structure of credit spreads should always start at zero and slope upward for firms that are not currently in financial distress, but the empirical literature shows that the actual credit spread curves are sometimes flat or even downward-sloping.If a diffusion approach cannot capture the basic features of credit risk, what approach can? This paper develops a new structural approach to valuing default-risky securities by modeling the evolution of firm value as a jump-diffusion process. Under a jump-diffusion process, a firm can default instantaneously because of a sudden drop in its value. With this characteristic, a jump-diffusion model can match the size of credit spreads on corporate bonds and can generate various shapes of yield spread curves and marginal default rate curves, including upward-sloping, downward-sloping, flat, and hump-shaped, even if the firm is currently in good financial standing. The model also links recovery rates to firm value at default so that the variation in recovery rates is endogenously generated and the correlation between recovery rates and credit ratings before default reported in Altman (1989) can be justified.
Book Synopsis Advances in Credit Risk Modeling and Management by : Frédéric Vrins
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.
Book Synopsis The Best of Wilmott 1 by : Paul Wilmott
Download or read book The Best of Wilmott 1 written by Paul Wilmott and published by John Wiley & Sons. This book was released on 2005-07-08 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: November 11th 2003 saw a landmark event take place in London. As the first conference designed for quants by quants the Quantitative Finance Review 2003, moved away from the anonymous bazaars that have become the norm, and instead delivered valuable information to market practitioners with the greatest interest. The roster of speakers was phenomenal, ranging from founding fathers to bright young things, discussing the latest developments, with a specific emphasis on the burgeoning field of credit derivatives. You really had to be there. Until now, at least. The Best of Wilmott 1: Including the latest research from Quantitative Finance Review 2003 contains these first-class articles, originally presented at the QFR 2003, along with a collection of selected technical papers from Wilmott magazine. In publishing this book we hope to share some of the great insights that, until now, only delegates at QFR 2003 were privy to, and give you some idea why Wilmott magazine is the most talked about periodical in the market. Including articles from luminaries such as Ed Thorp, Jean-Philippe Bouchaud, Philipp Schoenbucher, Pat Hagan, Ephraim Clark, Marc Potters, Peter Jaeckel and Paul Wilmott, this collection is a must for anyone working in the field of quantitative finance. The articles cover a wide range of topics: * Psychology in Financial Markets * Measuring Country Risk as Implied Volatility * The Equity-to-Credit Problem * Introducing Variety in Risk Management * The Art and Science of Curve Building * Next Generation Models for Convertible Bonds with Credit Risk * Stochastic Volatility and Mean-variance Analysis * Cliquet Options and Volatility Models And as they say at the end of (most) Bond movies The Best of Wilmott... will return on an annual basis.
Book Synopsis Credit Spread Implied by Convertible Bonds Prices by : Alon Raviv
Download or read book Credit Spread Implied by Convertible Bonds Prices written by Alon Raviv and published by . This book was released on 2006 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many credit risk models exist in the academic literature, little attention has been paid to the measurement of credit spread, which is an important input in most of those models.When a reference entity has not issued any straight bond it becomes impossible to calculate credit spread and consequently to exploit credit risk models. This article derives a method for measuring the credit spread implied by convertible prices using Tsiveriotis and Fernandes (1998) model, which account for the influence of credit spread on the convertible value. This approach allows measuring the credit spread in cases where a reference entity has issued convertible bonds and not straight bonds.The spread between a corporate bond and a default free bond is driven to a considerable extent by credit risk, but also the liquidity premium has a great impact on that spread. Using the suggested method in cases where company's convertible bonds are significantly more liquid than its straight bonds may lead to a more accurate measurement of the credit spread.In this paper we also elaborate and present more abstract way Hull (2000) numerical scheme for pricing convertible bonds according to Tsiveriotis and Fernandes (1998) model. Numerical example is provided to show how to calibrate the pricing model and to illustrate the calculation of the implied credit spread.
Book Synopsis Specification Analysis of Structural Credit Risk Models by : Jing-zhi Huang
Download or read book Specification Analysis of Structural Credit Risk Models written by Jing-zhi Huang and published by . This book was released on 2008 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perturbation Methods in Credit Derivatives by : Colin Turfus
Download or read book Perturbation Methods in Credit Derivatives written by Colin Turfus and published by John Wiley & Sons. This book was released on 2020-12-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stress-test financial models and price credit instruments with confidence and efficiency using the perturbation approach taught in this expert volume Perturbation Methods in Credit Derivatives: Strategies for Efficient Risk Management offers an incisive examination of a new approach to pricing credit-contingent financial instruments. Author and experienced financial engineer Dr. Colin Turfus has created an approach that allows model validators to perform rapid benchmarking of risk and pricing models while making the most efficient use possible of computing resources. The book provides innumerable benefits to a wide range of quantitative financial experts attempting to comply with increasingly burdensome regulatory stress-testing requirements, including: Replacing time-consuming Monte Carlo simulations with faster, simpler pricing algorithms for front-office quants Allowing CVA quants to quantify the impact of counterparty risk, including wrong-way correlation risk, more efficiently Developing more efficient algorithms for generating stress scenarios for market risk quants Obtaining more intuitive analytic pricing formulae which offer a clearer intuition of the important relationships among market parameters, modelling assumptions and trade/portfolio characteristics for traders The methods comprehensively taught in Perturbation Methods in Credit Derivatives also apply to CVA/DVA calculations and contingent credit default swap pricing.
Book Synopsis Volatility and Jump Risk Premia in Emerging Market Bonds by : John Matovu
Download or read book Volatility and Jump Risk Premia in Emerging Market Bonds written by John Matovu and published by International Monetary Fund. This book was released on 2007-07 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is strong evidence that interest rates and bond yield movements exhibit both stochastic volatility and unanticipated jumps. The presence of frequent jumps makes it natural to ask whether there is a premium for jump risk embedded in observed bond yields. This paper identifies a class of jump-diffusion models that are successful in approximating the term structure of interest rates of emerging markets. The parameters of the term structure of interest rates are reconciled with the associated bond yields by estimating the volatility and jump risk premia in highly volatile markets. Using the simulated method of moments (SMM), results suggest that all variants of models which do not take into account stochastic volatility and unanticipated jumps cannot generate the non-normalities consistent with the observed interest rates. Jumps occur (8,10) times a year in Argentina and Brazil, respectively. The size and variance of these jumps is also of statistical significance.
Book Synopsis Convertible Bonds Valuation in a Jump Diffusion Setting with Stochastic Interest Rates by : Laura Ballotta
Download or read book Convertible Bonds Valuation in a Jump Diffusion Setting with Stochastic Interest Rates written by Laura Ballotta and published by . This book was released on 2019 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper proposes an integrated pricing framework for convertible bonds, which comprises firm value evolving as an exponential jump diffusion, correlated stochastic interest rates movements and an efficient numerical pricing scheme. By construction, the proposed stochastic model fits in the framework of affine jump diffusion processes of Duffie, Pan and Singleton [Duffie, D., Pan, J. and Singleton, K., Transform analysis and asset pricing for affine jump-diffusions. Econometrica, 2000, 68, 1343-1376] with tractable behaviour. We define the firm's optimal call policy and investigate its impact on the computed convertible bond prices. We illustrate the performance of the numerical scheme and highlight the effects originated by the inclusion of jumps, stochastic interest rates and a non-zero correlation structure between firm value and interest rates.
Book Synopsis Pricing and Hedging Credit Risk in Convertible Bonds by :
Download or read book Pricing and Hedging Credit Risk in Convertible Bonds written by and published by . This book was released on 1999 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Financial Modeling by : Stephane Crepey
Download or read book Financial Modeling written by Stephane Crepey and published by Springer Science & Business Media. This book was released on 2013-06-13 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Backward stochastic differential equations (BSDEs) provide a general mathematical framework for solving pricing and risk management questions of financial derivatives. They are of growing importance for nonlinear pricing problems such as CVA computations that have been developed since the crisis. Although BSDEs are well known to academics, they are less familiar to practitioners in the financial industry. In order to fill this gap, this book revisits financial modeling and computational finance from a BSDE perspective, presenting a unified view of the pricing and hedging theory across all asset classes. It also contains a review of quantitative finance tools, including Fourier techniques, Monte Carlo methods, finite differences and model calibration schemes. With a view to use in graduate courses in computational finance and financial modeling, corrected problem sets and Matlab sheets have been provided. Stéphane Crépey’s book starts with a few chapters on classical stochastic processes material, and then... fasten your seatbelt... the author starts traveling backwards in time through backward stochastic differential equations (BSDEs). This does not mean that one has to read the book backwards, like a manga! Rather, the possibility to move backwards in time, even if from a variety of final scenarios following a probability law, opens a multitude of possibilities for all those pricing problems whose solution is not a straightforward expectation. For example, this allows for framing problems like pricing with credit and funding costs in a rigorous mathematical setup. This is, as far as I know, the first book written for several levels of audiences, with applications to financial modeling and using BSDEs as one of the main tools, and as the song says: "it's never as good as the first time". Damiano Brigo, Chair of Mathematical Finance, Imperial College London While the classical theory of arbitrage free pricing has matured, and is now well understood and used by the finance industry, the theory of BSDEs continues to enjoy a rapid growth and remains a domain restricted to academic researchers and a handful of practitioners. Crépey’s book presents this novel approach to a wider community of researchers involved in mathematical modeling in finance. It is clearly an essential reference for anyone interested in the latest developments in financial mathematics. Marek Musiela, Deputy Director of the Oxford-Man Institute of Quantitative Finance
Book Synopsis Credit Risk Frontiers by : Tomasz Bielecki
Download or read book Credit Risk Frontiers written by Tomasz Bielecki and published by John Wiley & Sons. This book was released on 2011-02-08 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely guide to understanding and implementing credit derivatives Credit derivatives are here to stay and will continue to play a role in finance in the future. But what will that role be? What issues and challenges should be addressed? And what lessons can be learned from the credit mess? Credit Risk Frontiers offers answers to these and other questions by presenting the latest research in this field and addressing important issues exposed by the financial crisis. It covers this subject from a real world perspective, tackling issues such as liquidity, poor data, and credit spreads, as well as the latest innovations in portfolio products and hedging and risk management techniques. Provides a coherent presentation of recent advances in the theory and practice of credit derivatives Takes into account the new products and risk requirements of a post financial crisis world Contains information regarding various aspects of the credit derivative market as well as cutting edge research regarding those aspects If you want to gain a better understanding of how credit derivatives can help your trading or investing endeavors, then Credit Risk Frontiers is a book you need to read.
Book Synopsis Paris-Princeton Lectures on Mathematical Finance 2010 by : Areski Cousin
Download or read book Paris-Princeton Lectures on Mathematical Finance 2010 written by Areski Cousin and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by: 1. Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4. David Hobson and 5. Peter Tankov.
Book Synopsis The Handbook of Hybrid Securities by : Jan De Spiegeleer
Download or read book The Handbook of Hybrid Securities written by Jan De Spiegeleer and published by John Wiley & Sons. This book was released on 2014-08-06 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing a revolutionary new quantitative approach to hybrid securities valuation and risk management To an equity trader they are shares. For the trader at the fixed income desk, they are bonds (after all, they pay coupons, so what's the problem?). They are hybrid securities. Neither equity nor debt, they possess characteristics of both, and carry unique risks that cannot be ignored, but are often woefully misunderstood. The first and only book of its kind, The Handbook of Hybrid Securities dispels the many myths and misconceptions about hybrid securities and arms you with a quantitative, practical approach to dealing with them from a valuation and risk management point of view. Describes a unique, quantitative approach to hybrid valuation and risk management that uses new structural and multi-factor models Provides strategies for the full range of hybrid asset classes, including convertible bonds, preferreds, trust preferreds, contingent convertibles, bonds labeled "additional Tier 1," and more Offers an expert review of current regulatory climate regarding hybrids, globally, and explores likely political developments and their potential impact on the hybrid market The most up-to-date, in-depth book on the subject, this is a valuable working resource for traders, analysts and risk managers, and a indispensable reference for regulators
Book Synopsis Jump-diffusion Processes and Affine Term Structure Models by : Athanasios Orphanides
Download or read book Jump-diffusion Processes and Affine Term Structure Models written by Athanasios Orphanides and published by . This book was released on 2005 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Firms active in OTC derivative markets increasingly use margin agreements to reduce counterparty credit risk. Making several simplifying assumptions, I use both a quasi- analytic approach and a simulation approach to quantify how margining reduces counterparty credit exposure. Margining reduces counterparty credit exposure by over 80 percent, using baseline parameter assumptions. I show how expected positive exposure (EPE) depends on key terms of the margin agreement and the current mark-to-market value of the portfolio of contracts with the counterparty. I also discuss a possible shortcut that could be used by firms that can model EPE without margin but cannot achieve the higher level of sophistication needed to model EPE with margin"--Federal Reserve Board web site.
Book Synopsis Equity Hybrid Derivatives by : Marcus Overhaus
Download or read book Equity Hybrid Derivatives written by Marcus Overhaus and published by John Wiley & Sons. This book was released on 2007-02-02 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take an in-depth look at equity hybrid derivatives. Written by the quantitative research team of Deutsche Bank, the world leader in innovative equity derivative transactions, this book presents leading-edge thinking in modeling, valuing, and hedging for this market, which is increasingly used for investment by hedge funds. You'll gain a balanced, integrated presentation of theory and practice, with an emphasis on understanding new techniques for analyzing volatility and credit derivative transactions linked to equity. In every instance, theory is illustrated along with practical application. Marcus Overhaus, PhD, is Managing Director and Global Head of Quantitative Research and Equity Structuring. Ana Bermudez, PhD, is an Associate in Global Quantitative Research. Hans Buehler, PhD, is a Vice President in Global Quantitative Research. Andrew Ferraris, DPhil, is a Managing Director in Global Quantitative Research. Christopher Jordinson, PhD, is a Vice President in Global Quantitative Research. Aziz Lamnouar, DEA, is a Vice President in Global Quantitative Research. All are associated with Deutsche Bank AG, London.
