Optimization Methods in Finance - ku

Optimization Methods in Finance Gerard Cornuejols tu Reha Tu ncu . Carnegie Mellon University, Pittsburgh, PA 15213 USA. January 2006. 2. Foreword Optimization models play an increasingly important role in financial de- cisions. Many computational Finance problems ranging from asset allocation to risk management, from option pricing to model calibration can be solved efficiently using modern Optimization techniques. This course discusses sev- eral classes of Optimization problems (including linear, quadratic, integer, dynamic, stochastic, conic, and robust programming) encountered in finan- cial models. For each problem class, after introducing the relevant theory (optimality conditions, duality, etc.) and efficient solution Methods , we dis- cuss several problems of mathematical Finance that can be modeled within this problem class. In addition to classical and well-known models such as Markowitz' mean-variance Optimization model we present some newer Optimization models for a variety of financial problems.

imization) of a given objective function of several decision variables that satisfy functional constraints. A typical optimization model addresses the allocation of scarce resources among possible alternative uses in order to maximize an objective function such as total pro t. Decision variables, the objective function, and constraints are ...

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