Optimal Off-Exchange Execution with Closing Price

Abstract

The purpose of this paper is to examine whether the closing price guaranteed execution is possible contract, and if possible, how an institutional investor who affects the security price allocates execution volumes to both traditional trading and off-exchange (over-the-counter, OTC) trading venues. With a generalized price model at the traditional venue which considers the permanent impact effect explicitly, we derive an optimal execution strategy in the traditional trading venue and the allocation of the order volume to both venues in the framework of dynamic programming. By proving that an optimal execution strategy is in the static class, we further show that the closing price guaranteed contract may be established and the trading volume at the time of agreement of the contract can be controlled. Moreover, by some numerical examples, we illustrate a possibility for the institutional investor to manipulate the market in order to seek a profit under some trading situation.