Lisa Goldberg | |
---|---|
Alma mater | Ph.D. Brandeis University (Mathematics) B.A. University of Rochester |
Awards | Sloan Fellowship (1987) Graham and Dodd Scroll Award for Excellence in Research and Financial Writing (2012) |
Scientific career | |
Fields | Mathematical Finance, Statistics |
Institutions | University of California, Berkeley; Berkeley Research Group; MSCI |
Lisa Goldberg is a financial economist and statistician who serves at the University of California, Berkeley as director of research at the Center for Risk Management Research and as Adjunct Professor of Statistics. She is also the Co-Director for the Consortium for Data Analytics in Risk at UC Berkeley.
In the 1980s, Goldberg studied properties of dynamical systems generated by rational maps of the Riemann sphere. [1] [2]
In 1993, Goldberg left academia to pursue a career in quantitative finance at Barra (now MSCI), and she has been a proponent of research that combines best practices from industry and the university. [3] Early in the 2000s, in collaboration with Kay Giesecke, she developed a top down methodology based on point processes that is used to assess complex credit derivatives. [4] [5] [6]
Beginning in 2006, Goldberg, in collaboration with Guy Miller and Jared Weinstein, developed a patented extension of quantitative risk management tools to extreme events and market turbulence. [7] Goldberg also holds two patents on industry-standard multi-asset class risk models [8] [9] and one patent on incomplete information credit models. [10]
Early in the financial crisis of 2007–08, Goldberg warned against the risks associated with the reliance on Gaussian models. [11] Risk parity strategies have been claimed by a number of practitioners to deliver investment performance superior to traditional strategies, and have been especially popular since the financial crisis of 2007-08. In collaboration with Robert M. Anderson (economist) and Stephen Bianchi, Goldberg demonstrated that long-horizon performance of risk parity strategies is qualitatively similar to long-horizon performance of traditional strategies after accounting for realistic financing and trading costs, and that risk parity substantially underperforms traditional strategies in certain time periods. [12] Subsequent research by the same team extends the findings to the more general class of dynamically levered strategies, and it reveals high sensitivity of strategy performance to a previously unidentified source of risk: the co-movement of leverage with return to the underlying portfolio that is levered. [13] They also pointed out that levered strategies involving bonds, including risk parity, are very vulnerable in a rising interest rate environment, [13] [14] [15] the precise environment that many analysts predict for the coming years.
Goldberg received a Sloan Fellowship in 1987 [16] and a Graham and Dodd Scroll Award for Excellence in Research and Financial Writing in 2012 for Financial Analysts Journal. [17]
Henri Léon Lebesgue was a French mathematician known for his theory of integration, which was a generalization of the 17th-century concept of integration—summing the area between an axis and the curve of a function defined for that axis. His theory was published originally in his dissertation Intégrale, longueur, aire at the University of Nancy during 1902.
Market portfolio is a portfolio consisting of a weighted sum of every asset in the market, with weights in the proportions that they exist in the market, with the necessary assumption that these assets are infinitely divisible.
Anton Davidoglu was a Romanian mathematician who specialized in differential equations.
Kurt Otto Friedrichs was a noted German American mathematician. He was the co-founder of the Courant Institute at New York University, and a recipient of the National Medal of Science.
Frank J. Fabozzi is an American economist, educator, writer, and investor, currently Professor of Practice at The Johns Hopkins University Carey Business School and a Member of Edhec Risk Institute. He was previously a Professor of Finance at EDHEC Business School, Professor in the Practice of Finance and Becton Fellow in the Yale School of Management, and a Visiting Professor of Finance at the Sloan School of Management at the Massachusetts Institute of Technology. He has authored and edited many books, three of which were coauthored with Nobel laureates, Franco Modigliani and Harry Markowitz. He has been the editor of the Journal of Portfolio Management since 1986 and is on the board of directors of the BlackRock complex of closed-end funds.
In statistics, a forecast error is the difference between the actual or real and the predicted or forecast value of a time series or any other phenomenon of interest. Since the forecast error is derived from the same scale of data, comparisons between the forecast errors of different series can only be made when the series are on the same scale.
The following outline is provided as an overview of and topical guide to finance:
John Hamal Hubbard is an American mathematician and professor at Cornell University and the Université de Provence. He is well known for the mathematical contributions he made with Adrien Douady in the field of complex dynamics, including a study of the Mandelbrot set. One of their most important results is that the Mandelbrot set is connected.
In mathematics, the tricorn, sometimes called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping instead of used for the Mandelbrot set. It was introduced by W. D. Crowe, R. Hasson, P. J. Rippon, and P. E. D. Strain-Clark. John Milnor found tricorn-like sets as a prototypical configuration in the parameter space of real cubic polynomials, and in various other families of rational maps.
Newton–Cartan theory is a geometrical re-formulation, as well as a generalization, of Newtonian gravity first introduced by Élie Cartan and Kurt Friedrichs and later developed by Dautcourt, Dixon, Dombrowski and Horneffer, Ehlers, Havas, Künzle, Lottermoser, Trautman, and others. In this re-formulation, the structural similarities between Newton's theory and Albert Einstein's general theory of relativity are readily seen, and it has been used by Cartan and Friedrichs to give a rigorous formulation of the way in which Newtonian gravity can be seen as a specific limit of general relativity, and by Jürgen Ehlers to extend this correspondence to specific solutions of general relativity.
Risk parity is an approach to investment management which focuses on allocation of risk, usually defined as volatility, rather than allocation of capital. The risk parity approach asserts that when asset allocations are adjusted to the same risk level, the risk parity portfolio can achieve a higher Sharpe ratio and can be more resistant to market downturns than the traditional portfolio. Risk parity is vulnerable to significant shifts in correlation regimes, such as observed in Q1 2020, which led to the significant underperformance of risk-parity funds in the Covid-19 sell-off.
In mathematics and theoretical physics, the Eguchi–Hanson space is a non-compact, self-dual, asymptotically locally Euclidean (ALE) metric on the cotangent bundle of the 2-sphere T*S2. The holonomy group of this 4-real-dimensional manifold is SU(2), as it is for a Calabi-Yau K3 surface. The metric is generally attributed to the physicists Tohru Eguchi and Andrew J. Hanson; it was discovered independently by the mathematician Eugenio Calabi around the same time.
In mathematics, the Bernstein–Zelevinsky classification, introduced by Bernstein and Zelevinsky (1977) and Zelevinsky (1980), classifies the irreducible complex smooth representations of a general linear group over a local field in terms of cuspidal representations.
In mathematics, a Demazure module, introduced by Demazure, is a submodule of a finite-dimensional representation generated by an extremal weight space under the action of a Borel subalgebra. The Demazure character formula, introduced by Demazure, gives the characters of Demazure modules, and is a generalization of the Weyl character formula. The dimension of a Demazure module is a polynomial in the highest weight, called a Demazure polynomial.
Macro risk is financial risk that is associated with macroeconomic or political factors. There are at least three different ways this phrase is applied. It can refer to economic or financial risk found in stocks and funds, to political risk found in different countries, and to the impact of economic or financial variables on political risk. Macro risk can also refer to types of economic factors which influence the volatility over time of investments, assets, portfolios, and the intrinsic value of companies.
Robert Murdoch Anderson is Professor of Economics and of Mathematics at the University of California, Berkeley. He is director of the Center for Risk Management Research, University of California, Berkeley and he was chair of the University of California Academic Senate 2011-12. He is also the Co-Director for the Consortium for Data Analytics in Risk at UC Berkeley.
In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by Demazure (1974, p. 83). The conjecture implies that many of the results of his paper can be extended from complex algebraic groups to algebraic groups over fields of other characteristics or over the integers. V. Lakshmibai, C. Musili, and C. S. Seshadri (1979) showed that Demazure's conjecture follows from their work on standard monomial theory, and Peter Littelmann extended this to all reductive algebraic groups.
Raphael Douady is a French mathematician and economist. He holds the Robert Frey Endowed Chair for Quantitative Finance at Stony Brook, New York. He is a fellow of the Centre d’Economie de la Sorbonne, Paris 1 Pantheon-Sorbonne University, and academic director of the Laboratory of Excellence on Financial Regulation.
In algebraic geometry, a Newton–Okounkov body, also called an Okounkov body, is a convex body in Euclidean space associated to a divisor on a variety. The convex geometry of a Newton–Okounkov body encodes (asymptotic) information about the geometry of the variety and the divisor. It is a large generalization of the notion of the Newton polytope of a projective toric variety.
In mathematics, infinitesimal cohomology is a cohomology theory for algebraic varieties introduced by Grothendieck (1966). In characteristic 0 it is essentially the same as crystalline cohomology. In nonzero characteristic p Ogus (1975) showed that it is closely related to etale cohomology with mod p coefficients, a theory known to have undesirable properties.