Damiano Brigo
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Damiano Brigo (born Venice, Italy 1966) is an applied mathematician and Chair in Mathematical Finance at
Imperial College London Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
. He is known for research in filtering theory and
mathematical finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets. In general, there exist two separate branches of finance that require ...
.


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 filter In signal processing, a nonlinear (or non-linear) filter is a filter whose output is not a linear function of its input. That is, if the filter outputs signals ''R'' and ''S'' for two input signals ''r'' and ''s'' separately, but does not always o ...
s based on the
differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...
approach to statistics, also related to
information geometry Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It studies statistical manifolds, which are Riemannian manifolds whose points correspond to prob ...
. With
Fabio Mercurio Fabio Mercurio (born 26 September 1966) is an Italian mathematician, internationally known for a number of results in mathematical finance. Main results Mercurio worked during his Ph.D. on incomplete markets theory using dynamic mean-variance hed ...
(2002–2003), he has shown how to construct
stochastic differential equations A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution which is also a stochastic process. SDEs are used to model various phenomena such as stock pr ...
consistent with
mixture model In statistics, a mixture model is a probabilistic model for representing the presence of subpopulations within an overall population, without requiring that an observed data set should identify the sub-population to which an individual observation ...
s, applying this to
volatility smile Volatility smiles are implied volatility patterns that arise in pricing financial options. It is a parameter (implied volatility) that is needed to be modified for the Black–Scholes formula to fit market prices. In particular for a given exp ...
modeling in the context of
local volatility A local volatility model, in mathematical finance and financial engineering, is an option pricing model that treats volatility as a function of both the current asset level S_t and of time t . As such, it is a generalisation of the Black–Sch ...
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 In finance, a credit derivative refers to any one of "various instruments and techniques designed to separate and then transfer the ''credit risk''"The Economist ''Passing on the risks'' 2 November 1996 or the risk of an event of default of a cor ...
modeling and counterparty risk valuation, 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 A collateralized debt obligation (CDO) is a type of structured asset-backed security (ABS). Originally developed as instruments for the corporate debt markets, after 2002 CDOs became vehicles for refinancing mortgage-backed securities (MBS).Lepke ...
prior to the
financial crisis of 2007–2008 Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of fi ...
. This work has been further updated in 2010 leading to a volume for Wiley, while a volume on the updated nonlinear theory of valuation, including credit effects, collateral modeling and funding costs, has appeared in 2013. Overall Brigo authored more than seventy 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. Brigo has been the most cited author in the technical section of the industry influential Risk Magazine in 2006, 2010 and 2012.Degrees of Influence, Risk Magazine, December 2012, page 71.


Current and past affiliations

Brigo was appointed Chair in Mathematical Finance at the Department of Mathematics of
Imperial College London Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
in 2012. He is also Director of the Capco Institute. He previously held the Gilbart Chair of Financial Mathematics at
King's College London King's College London (informally King's or KCL) is a public research university located in London, England. King's was established by royal charter in 1829 under the patronage of King George IV and the Duke of Wellington. In 1836, King's ...
(2010-2012) and worked as Managing Director at Fitch Solutions in London (2007-2010). He holds a PhD in Stochastic Nonlinear Filtering with Differential Geometric Method from the
Free University of Amsterdam The Vrije Universiteit Amsterdam (abbreviated as ''VU Amsterdam'' or simply ''VU'' when in context) is a public research university in Amsterdam, Netherlands, being founded in 1880. The VU Amsterdam is one of two large, publicly funded research ...
.


Selected publications

*Brigo, D, Morini, M., and Pallavicini, A, Counterparty Credit Risk, Collateral and Funding, with Pricing Cases for All Asset Classes. Wiley, 2013. *Brigo, D, Pallavicini, A, and Torresetti, R, Credit Models and the Crisis: A Journey into CDOs, Copulas, Correlations and Dynamic Models. 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, *Brigo, D, Hanzon, B, Le Gland, F, Approximate nonlinear filtering by projection on exponential manifolds of densities, BERNOULLI, 1999, Vol: 5, Pages: 495 - 534, *Brigo, D, On SDEs with marginal laws evolving in finite-dimensional exponential families, STAT PROBABIL LETT, 2000, Vol: 49, Pages: 127 - 134, *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, *Alfonsi, A, Brigo, D, New families of copulas based on periodic functions, COMMUN STAT-THEOR M, 2005, Vol: 34, Pages: 1437 - 1447, *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, *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 The ''International Journal of Theoretical and Applied Finance'' was founded in 1998 and is published by World Scientific. It covers the use of quantitative tools in finance, including articles on development and simulation of mathematical models, ...
, 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.


References


External links


Damiano Brigo's web page at Imperial College London



Damiano Brigo as Director of the Capco Institute
{{DEFAULTSORT:Brigo, Damiano 21st-century Italian mathematicians Financial economists Control theorists Probability theorists Living people Academics of King's College London Academic staff of Bocconi University Academics of Imperial College London Place of birth missing (living people) 1966 births Vrije Universiteit Amsterdam alumni 20th-century Italian mathematicians