Dimension Reduction in the Computation of Value‐at‐Risk

Emerald - 2002
CLAUDIOALBANESE1, KENJACKSON2, PETTERWIBERG3
1Associate professor of mathematics at the University of Toronto in Ontario, Canada
2Professor of computer science at the University of Toronto in Ontario, Canada
3Ph.D. candidate in the department of computer science at the University of Toronto in Ontario, Canada

Tóm tắt

Regulators require banks to employ value‐at‐risk (VaR) to estimate the exposure of their trading portfolios to market risk, in order to establish capital requirements. However, portfolio‐level VaR analysis is a high‐dimensional problem and hence computationally intensive. This article presents two new portfolio‐based approaches to reducing the dimensionality of the VaR analysis.

Từ khóa


Tài liệu tham khảo

Albanese C, 2001, Working paper

Basle Committee on Banking Supervision., 1996, Bank for International Settlements

Beder T.S., 1995, Financial AnalystsJournal, 51, 12, 10.2469/faj.v51.n5.1932

Campbell J.Y., 1997, The Econometrics of Financial Markets, 10.1515/9781400830213

Duffie D., 1997, The Journal ofDerivatives, 4, 7, 10.3905/jod.1997.407971

Duffie D., 2001, Finance and Stochastics, 5, 155, 10.1007/PL00013531

El-Jahel L., 1999, TheJournal of Derivatives, 6, 7, 10.3905/jod.1999.319116

Embrechts P., 1999, Risk, 12

Feuerverger A., 2000, Journal ofRisk, 3, 37

Golub G.H., 1989, Matrix Computations, 2

Hull J.C., 2000, Futures and Other Derivatives, 4

Jackson P., 1997, TheJournal of Derivatives, 4, 73, 10.3905/jod.1997.407972

Jorion P., 1996, Financial Analysts Journal, 52, 47, 10.2469/faj.v52.n6.2039

Kreinin A., 1998, Algo Research Quarterly, 1, 21

Mina J., 1999, Delta-Gamma Four Ways

Morgan, 1996, RiskMetrics. Technical Document, 4

Reimers M., 1998, Algo Research Quarterly, 1, 43

Stambaugh F., 1996, European ManagementJournal, 14, 612

Stewart G.W., 1990, Matrix Perturbation Theory

Wilmott P., 2000, Paul Wilmott on Quantitative Finance