交易多重均值回归
Trading multiple mean reversion
摘要:
如何从多个均值回归资产构建投资组合?即使一项资产的均值回归为零,我们是否应该将该资产添加到投资组合中?我们考虑一个代理人交易多个均值回复资产的头寸管理问题。我们解决了一个代理的最优控制问题的权力效用,并提出了一个半显式的解决方案。几乎明确的性质的解决方案,使我们能够研究的影响,参数误指定,并得出一些最优解的属性。
英文摘要:
How should one construct a portfolio from multiple mean-reverting assets? Should one add an asset to portfolio even if the asset has zero mean reversion? We consider a position management problem for an agent trading multiple mean-reverting assets. We solve an optimal control problem for an agent with power utility, and present a semi-explicit solution. The nearly explicit nature of the solution allows us to study the effects of parameter mis-specification, and derive a number of properties of the optimal solution.
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