Mathematics – Optimization and Control
Scientific paper
2004-01-07
Mathematics
Optimization and Control
21 pages, 1 figure
Scientific paper
In this paper, we consider the nonconvex minimization problem of the value-at-risk (VaR) that arises from financial risk analysis. By considering this problem as a special linear program with linear complementarity constraints (a bilevel linear program to be more precise), we develop upper and lower bounds for the minimum VaR and show how the combined bounding procedures can be used to compute the latter value to global optimality. A numerical example is provided to illustrate the methodology.
Leyffer Sven
Pang Jong-Shi
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