Robust consumption-investment problem Under CRRA and CARA utilities with time-varying confidence sets

Zongxia Liang; Ming Ma

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arXiv · 1811.12149

Robust consumption-investment problem Under CRRA and CARA utilities with time-varying confidence sets

Zongxia Liang·Ming Ma

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Abstract

We consider a robust consumption-investment problem under CRRA and CARA utilities. The time-varying confidence sets are specified by $\Theta$, a correspondence from $[0,T]$ to the space of L\'{e}vy triplets, and describe priori information about drift, volatility and jump. Under each possible measure, the log-price processes of stocks are semimartingales and the triplet of their differential characteristics is a measurable selector from the correspondence $\Theta$ almost surely. By proposing and studying the global kernel, an optimal policy and a worst-case measure are generated from a saddle point of the global kernel, and they also constitute a saddle point of the objective function.

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BibTeX RIS

Zongxia Liang, Ming Ma. 2018-11-29. Robust consumption-investment problem Under CRRA and CARA utilities with time-varying confidence sets. https://arxiv.org/abs/1811.12149

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