In this paper we study the problem of the optimal portfolio selection with transaction costs for a decision-maker who is faced with Knightian uncertainty. The decision-maker's portfolio consists of one risky and one risk-free asset, and we assume that the transaction costs are proportional to...

High frequency arbitrage opportunities sometimes arise when the price of one asset follows, with a lag, changes in the value of another related asset due to information arrival. These opportunities are toxic because they expose liquidity suppliers to the risk of being picked off by arbitrageurs....