We develop a theory for the market impact of large trading orders, which we call <italic>metaorders</italic> because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of metaorder size, i.e. the impact per share of large...

Market impact is the change in price due to initiating a trade. In this paper we develop a new theory for average market impact based on properties of order flow, efficiency of price returns and other empirically testable assumptions. Our approach differs from previous efforts in that our...

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of metaorder size, i.e., the impact per share of large...

We present a framework for optimal execution in presence of stochastic volatility. The theoretical model utilizes the fair pricing theory of market impact and the Heston model for volatility. We use computer optimization to solve common trading problems, including optimal execution schedules on...