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A successive SDP-NSDP approach to a robust optimization problem in finance

机译:连续SDP-NSDP方法解决金融中的稳健优化问题

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摘要

The robustification of trading strategies is of particular interest in financial market applications. In this paper we robustify a portfolio strategy recently introduced in the literature against model errors in the sense of a worst case design. As it turns out, the resulting optimization problem can be solved by a sequence of linear and nonlinear semidefinite programs (SDP/NSDP), where the nonlinearity is introduced by the parameters of a parabolic differential equation. The nonlinear semidefinite program naturally arises in the computation of the worst case constraint violation which is equivalent to an eigenvalue minimization problem. Further we prove convergence for the iterates generated by the sequential SDP-NSDP approach.
机译:交易策略的稳固在金融市场应用中特别重要。在本文中,我们针对最坏情况设计意义上的模型错误,对最近在文献中引入的投资组合策略进行了稳健处理。事实证明,可以通过一系列线性和非线性半定程序(SDP / NSDP)来解决由此产生的优化问题,其中非线性是由抛物型微分方程的参数引入的。非线性半定程序自然会出现在最坏情况约束违规的计算中,这等效于特征值最小化问题。此外,我们证明了由顺序SDP-NSDP方法生成的迭代的收敛性。

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