Optimal Investment under Block-Shaped Order Books (with Nan Chen, Min Dai, and Qiheng Ding).
- working paper.
+ working paper. [Abstract]
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+ We study an optimal investment problem of a CARA investor trading in a market operated with a block-shaped limited order book (LOB). The model synergizes three key features of market microstructure: the bid-ask spread, the market depth, and a finite market resilience. Under a Bachelier process for the dynamic of the fundamental value of the asset, we develop explicit characterization on the investor’s optimal trading strategy. As an important extension of this model, an asymptotic expansion of the optimal trading strategies in the presence of return-predicting signals are also derived. The theoretical and numerical results unveil how an investor should strike a balance among several competing goals such as achieving the optimal risk exposure currently, incorporating signals about the future, and minimizing trading costs. Contributing to the existing literature, our model helps to quantify significant impacts of the market resilience on the trading decisions.
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