# Электронная книга: Damiano Brigo «Counterparty Credit Risk, Collateral and Funding. With Pricing Cases For All Asset Classes»

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, includinginterest 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. Издательство: "John Wiley&Sons Limited"
ISBN: 9780470662496 электронная книга Купить за 7953.16 руб и скачать на Litres |

### Другие книги автора:

Книга | Описание | Год | Цена | Тип книги |
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Credit Models and the Crisis. A Journey into CDOs, Copulas, Correlations and Dynamic Models | The recent financial crisis has highlighted the need for better valuation models and risk management procedures, better understanding of structured products, and has called into question the actions… — John Wiley&Sons Limited (USD), электронная книга Подробнее... | электронная книга |

## Damiano Brigo

**Damiano Brigo** (Venice Italy 1966) is an applied mathematician, and current Gilbart Chair of Financial Mathematics at King's College, London, known for a number of results in systems theory, probability and mathematical finance.

## Contents |

## Main results

Brigo started his work with the development, with Bernard Hanzon and Francois Le Gland (1998), of the projection filters, a family of approximate nonlinear filters based on the differential geometry approach to statistics, also related to information geometry. With Fabio Mercurio (2002–2003), he has shown how to construct stochastic differential equations consistent with mixture models, applying this to volatility smile modeling in the context of local volatility models. With Aurelien Alfonsi (2005), Brigo introduced new families of multivariate distributions in statistics through the periodic copula function concept. Since 2002, Brigo contributed to credit derivatives modeling and counterparty risk, showing with Pallavicini and Torresetti (2007) how data implied non-negligible probability that several names defaulted together, showing some large default clusters and a concrete risk of high losses in collateralized debt obligations prior to the financial crisis of 2007–2008. This work has been further updated in 2010 leading to a volume for Wiley. Overall Brigo authored more than forty publications and co-authored the book *Interest rate models: theory and practice* for Springer-Verlag, that quickly became an international reference for stochastic dynamic interest rate modeling in finance.

## Current and past affiliations

Brigo is currently Managing Director at Fitch Solutions in London. Brigo has also been fixed income professor at the Bocconi University of Milan. He is currently the Gilbart Chair of Financial Mathematics at King's College, London, Visiting Professor at the Department of Mathematics of Imperial College and adjunct professor at the University of Essex. Brigo is also Managing Editor of the International Journal of Theoretical and Applied Finance for World Scientific. Brigo holds a PhD in Mathematics from the Free University of Amsterdam.

## Selected publications

- Brigo, D, Pallavicini, A, and Torresetti, R, Credit Models and the Crisis: A Journey into CDOs, Copulas, Correlations and Dynamic Moels. Wiley, 2010.

- Brigo, D, Mercurio, F, Interest Rate Models: Theory and Practice - with Smile, Inflation and Credit, Heidelberg, Springer Verlag, 2001, 2nd Edition 2006.

- Brigo, D, Hanzon, B, LeGland, F, A differential geometric approach to nonlinear filtering: The projection filter, IEEE T AUTOMAT CONTR, 1998, Vol: 43, Pages: 247 - 252, ISSN: 0018-9286

- Brigo, D, Hanzon, B, Le Gland, F, Approximate nonlinear filtering by projection on exponential manifolds of densities, BERNOULLI, 1999, Vol: 5, Pages: 495 - 534, ISSN: 1350-7265

- Brigo, D, On SDEs with marginal laws evolving in finite-dimensional exponential families, STAT PROBABIL LETT, 2000, Vol: 49, Pages: 127 - 134, ISSN: 0167-7152

- Brigo, D, Diffusion Processes, Manifolds of Exponential Densities, and Nonlinear Filtering, In: Ole E. Barndorff-Nielsen and Eva B. Vedel Jensen, editor, Geometry in Present Day Science, World Scientific, 1999

- Brigo, D, Mercurio, F, Lognormal-mixture dynamics and calibration to market volatility smiles, International Journal of Theoretical and Applied Finance, 2002, Vol: 5, Pages: 427 - 446

- Brigo, D, Mercurio, F, Sartorelli, G, Alternative asset-price dynamics and volatility smile, QUANT FINANC, 2003, Vol: 3, Pages: 173 - 183, ISSN: 1469-7688

- Alfonsi, A, Brigo, D, New families of copulas based on periodic functions, COMMUN STAT-THEOR M, 2005, Vol: 34, Pages: 1437 - 1447, ISSN: 0361-0926

- Brigo, D, Alfonsi, A, Credit default swap calibration and derivatives pricing with the SSRD stochastic intensity model, FINANC STOCH, 2005, Vol: 9, Pages: 29 - 42, ISSN: 0949-2984

- Brigo, D (2008), CDS Options through Candidate Market Models and the CDS-Calibrated CIR++ Stochastic Intensity Model, In: Wagner, N., editor, Credit Risk: Models, Derivatives and Management, Taylor & Francis, 2008

- Brigo, D, Pallavicini, A, Torresetti, R, (2007) Cluster-based extension of the generalized poisson loss dynamics andconsistency with single names, International Journal of Theoretical and Applied Finance, Vol: 10

- Brigo, D., Pallavicini, A. (2007). Counterparty Risk under Correlation between Default and Interest Rates. In: Miller, J., Edelman, D., and Appleby, J. (Editors), Numerical Methods for Finance, Chapman Hall.

## External links

- 21st-century mathematicians
- Financial economists
- Control theorists
- Researchers in stochastics
- Living people

Источник: Damiano Brigo

### См. также в других словарях:

**Collateralized debt obligation**— Financial markets Public market Exchange Securities Bond market Fixed income Corporate bond Government bond Municipal bond … Wikipedia