6533b837fe1ef96bd12a1d06
RESEARCH PRODUCT
Calibration of optimal execution of financial transactions in the presence of transient market impact
Enzo BussetiEnzo BussetiFabrizio LilloFabrizio Lillosubject
Statistics and ProbabilityMathematical optimizationQuantitative Finance - Trading and Market MicrostructureStatistical Finance (q-fin.ST)Financial market Econophysics stochastic processesFinancial assetComputer scienceVolume (computing)Efficient frontierQuantitative Finance - Statistical FinanceStatistical and Nonlinear PhysicsRisk neutralTrading and Market Microstructure (q-fin.TR)FOS: Economics and businessOrder (exchange)Financial transactionfinancial instruments and regulation models of financial markets risk measure and managementTransient (computer programming)Statistics Probability and UncertaintyMarket impactdescription
Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution strategy strongly depends on a careful modeling of market impact, i.e. how the price reacts to trades. In this paper we consider a recently introduced market impact model (Bouchaud et al., 2004), which has the property of describing both the volume and the temporal dependence of price change due to trading. We show how this model can be used to describe price impact also in aggregated trade time or in real time. We then solve analytically and calibrate with real data the optimal execution problem both for risk neutral and for risk averse investors and we derive an efficient frontier of optimal execution. When we include spread costs the problem must be solved numerically and we show that the introduction of such costs regularizes the solution.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 |