Can splits create market liquidity? Theory and evidence

We present a market microstructure model of stock splits in the presence of minimum tick size rules. The key feature of the model is that discretionary trading is endogenously determined. There exists a tradeoff between adverse selection costs oil the one hand and discreteness related costs and opportunity costs of monitoring the market oil the other hand. Under certain parameter values, there exists an optimal price. We document all inverse relation between the coefficient of variation of intraday trading volume and the stock price level. This empirical evidence and other existing evidence are consistent with the model. (C) 2002 Elsevier Science B.V. All rights reserved.