An Extension of CreditGrades Model Approach with Levy Processes

An Extension of CreditGrades Model Approach with Levy Processes PDF Author: Takaaki Ozeki
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
This paper proposes an extended CreditGrades model called the Levy CreditGrades model, which is driven by a Levy process. In this setting, quasi closed-form formulae for pricing equity options to a reference firm and for calculating its survival probabilities are derived. Moreover, using three tractable Levy CreditGrades models, we compute implied volatilities on equity options and term structures of credit default swaps (CDSs) and we examine the jump risk effects of the firm's asset value on short term CDS spreads and equity volatility skew. As a result, with this extension, our model is found to have more significant abilities than the original model introduced by Finger et al. [2002] and Stamicar and Finger [2005], and it is more appropriate for pricing both equity and credit derivatives simultaneously.

An Extension of CreditGrades Model Approach with Levy Processes

An Extension of CreditGrades Model Approach with Levy Processes PDF Author: Takaaki Ozeki
Publisher:
ISBN:
Category :
Languages : en
Pages :

Get Book Here

Book Description
This paper proposes an extended CreditGrades model called the Levy CreditGrades model, which is driven by a Levy process. In this setting, quasi closed-form formulae for pricing equity options to a reference firm and for calculating its survival probabilities are derived. Moreover, using three tractable Levy CreditGrades models, we compute implied volatilities on equity options and term structures of credit default swaps (CDSs) and we examine the jump risk effects of the firm's asset value on short term CDS spreads and equity volatility skew. As a result, with this extension, our model is found to have more significant abilities than the original model introduced by Finger et al. [2002] and Stamicar and Finger [2005], and it is more appropriate for pricing both equity and credit derivatives simultaneously.

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

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Book Description


The Oxford Handbook of Credit Derivatives

The Oxford Handbook of Credit Derivatives PDF Author: Alexander Lipton
Publisher: OUP Oxford
ISBN: 0191648256
Category : Business & Economics
Languages : en
Pages : 828

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Book Description
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

Credit Securitisations and Derivatives

Credit Securitisations and Derivatives PDF Author: Daniel Rösch
Publisher: John Wiley & Sons
ISBN: 1119966043
Category : Business & Economics
Languages : en
Pages : 464

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Book Description
A comprehensive resource providing extensive coverage of the state of the art in credit secruritisations, derivatives, and risk management Credit Securitisations and Derivatives is a one-stop resource presenting the very latest thinking and developments in the field of credit risk. Written by leading thinkers from academia, the industry, and the regulatory environment, the book tackles areas such as business cycles; correlation modelling and interactions between financial markets, institutions, and instruments in relation to securitisations and credit derivatives; credit portfolio risk; credit portfolio risk tranching; credit ratings for securitisations; counterparty credit risk and clearing of derivatives contracts and liquidity risk. As well as a thorough analysis of the existing models used in the industry, the book will also draw on real life cases to illustrate model performance under different parameters and the impact that using the wrong risk measures can have.

The Journal of Computational Finance

The Journal of Computational Finance PDF Author:
Publisher:
ISBN:
Category : Finance
Languages : en
Pages : 1062

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Book Description


American Step-Up and Step-Down Credit Default Swaps Under Levy Models

American Step-Up and Step-Down Credit Default Swaps Under Levy Models PDF Author: Tim Leung
Publisher:
ISBN:
Category :
Languages : en
Pages : 36

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Book Description
This paper studies the valuation of a class of default swaps with the embedded option to switch to a different premium and notional principal anytime prior to a credit event. These are early exercisable contracts that give the protection buyer or seller the right to step-up, step-down, or cancel the swap position. The pricing problem is formulated under a structural credit risk model based on Levy processes. This leads to the analytic and numerical studies of several optimal stopping problems subject to early termination due to default. In a general spectrally negative Levy model, we rigorously derive the optimal exercise strategy. This allows for instant computation of the credit spread under various specifications. Numerical examples are provided to examine the impacts of default risk and contractual features on the credit spread and exercise strategy.

The Art of Credit Derivatives

The Art of Credit Derivatives PDF Author: Joao Garcia
Publisher: John Wiley & Sons
ISBN: 0470684968
Category : Business & Economics
Languages : en
Pages : 302

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Book Description
Credit derivatives have been instrumental in the recent increase in securitization activity. The complex nature and the size of the market have given rise to very complex counterparty credit risks. The Lehman failure has shown that these issues can paralyse the financial markets, and the need for detailed understanding has never been greater. The Art of Credit Derivatives shows practitioners how to put a framework in place which will support the securitization activity. By showing the models that support this activity and linking them with very practical examples, the authors show why a mind-shift within the quant community is needed - a move from simple modeling to a more hands on mindset where the modeler understands the trading implicitly. The book has been written in five parts, covering the modeling framework; single name corporate credit derivatives; multi name corporate credit derivatives; asset backed securities and dynamic credit portfolio management. Coverage includes: groundbreaking solutions to the inherent risks associated with investing in securitization instruments how to use the standardized credit indices as the most appropriate instruments in price discovery processes and why these indices are the essential tools for short term credit portfolio management why the dynamics of systemic correlation and the standardised credit indices are linked with leverage, and consequently the implications for liquidity and solvability of financial institutions how Lévy processes and long term memory processes are related to the understanding of economic activity why regulatory capital should be portfolio dependant and how to use stress tests and scenario analysis to model this how to put structured products in a mark-to market-environment, increasing transparency for accounting and compliance. This book will be invaluable reading for Credit Analysts, Quantitative Analysts, Credit Portfolio Managers, Academics and anyone interested in these complex yet important markets.

Equity Derivatives and Hybrids

Equity Derivatives and Hybrids PDF Author: Oliver Brockhaus
Publisher: Springer
ISBN: 1137349492
Category : Business & Economics
Languages : en
Pages : 304

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Book Description
Since the development of the Black-Scholes model, research on equity derivatives has evolved rapidly to the point where it is now difficult to cut through the myriad of literature to find relevant material. Written by a quant with many years of experience in the field this book provides an up-to-date account of equity and equity-hybrid (equity-rates, equity-credit, equity-foreign exchange) derivatives modeling from a practitioner's perspective. The content reflects the requirements of practitioners in financial institutions: Quants will find a survey of state-of-the-art models and guidance on how to efficiently implement them with regards to market data representation, calibration, and sensitivity computation. Traders and structurers will learn about structured products, selection of the most appropriate models, as well as efficient hedging methods while risk managers will better understand market, credit, and model risk and find valuable information on advanced correlation concepts. Equity Derivatives and Hybrids provides exhaustive coverage of both market standard and new approaches, including: -Empirical properties of stock returns including autocorrelation and jumps -Dividend discount models -Non-Markovian and discrete-time volatility processes -Correlation skew modeling via copula as well as local and stochastic correlation factors -Hybrid modeling covering local and stochastic processes for interest rate, hazard rate, and volatility as well as closed form solutions -Credit, debt, and funding valuation adjustment (CVA, DVA, FVA) -Monte Carlo techniques for sensitivities including algorithmic differentiation, path recycling, as well as multilevel. Written in a highly accessible manner with examples, applications, research, and ideas throughout, this book provides a valuable resource for quantitative-minded practitioners and researchers.

Alternative Investments and Strategies

Alternative Investments and Strategies PDF Author: Rüdiger Kiesel
Publisher: World Scientific
ISBN: 9814280119
Category : Business & Economics
Languages : en
Pages : 414

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Book Description
This book combines academic research and practical expertise on alternative assets and trading strategies in a unique way. The asset classes that are discussed include : credit risk, cross-asset derivatives, energy, private equity, freight agreements, alternative real assets (ARA), and socially responsible investments (SRI). The coverage on trading and investment strategies are directed at portfolio insurance, especially constant proportion portfolio insurance (CPPI) and constant proportion debt obligation (CPDO) strategies, robust portfolio optimization, and hedging strategies for exotic options.

Systemic Contingent Claims Analysis

Systemic Contingent Claims Analysis PDF Author: Mr.Andreas A. Jobst
Publisher: International Monetary Fund
ISBN: 1475557531
Category : Business & Economics
Languages : en
Pages : 93

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Book Description
The recent global financial crisis has forced a re-examination of risk transmission in the financial sector and how it affects financial stability. Current macroprudential policy and surveillance (MPS) efforts are aimed establishing a regulatory framework that helps mitigate the risk from systemic linkages with a view towards enhancing the resilience of the financial sector. This paper presents a forward-looking framework ("Systemic CCA") to measure systemic solvency risk based on market-implied expected losses of financial institutions with practical applications for the financial sector risk management and the system-wide capital assessment in top-down stress testing. The suggested approach uses advanced contingent claims analysis (CCA) to generate aggregate estimates of the joint default risk of multiple institutions as a conditional tail expectation using multivariate extreme value theory (EVT). In addition, the framework also helps quantify the individual contributions to systemic risk and contingent liabilities of the financial sector during times of stress.