Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/194719 
Year of Publication: 
2017
Citation: 
[Journal:] Cogent Economics & Finance [ISSN:] 2332-2039 [Volume:] 5 [Issue:] 1 [Publisher:] Taylor & Francis [Place:] Abingdon [Year:] 2017 [Pages:] 1-14
Publisher: 
Taylor & Francis, Abingdon
Abstract: 
A trader wishes to execute a given number of shares of an illiquid asset. Since the asset price also depends on the trading behaviour, the trader main aim is to find the execution strategy that minimizes the related expected costs. We solve this problem in a discrete time framework, by modeling the asset price dynamic as an arithmetic random walk with drift and volatility both modeled as Markov stochastic processes. The market impact is assumed to follow a Markov process. We found the unique execution strategy minimizing the implementation shortfall when short selling is allowed. This optimal strategy is given as solution of a forward-backward system of stochastic equations depending on conditional expectations of future values of model parameters. In the opposite case, namely when short selling is prohibited, we numerically obtain the solution for the associated Bellman equation that an optimal trading strategy must satisfy.
Subjects: 
pricing model
liquid / illiquid market
forward-backward stochastic differential equations
Bellman equation
optimal execution strategy
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article

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