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Portfolio modeling for an algorithmic trading based on control theory

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Abstract In the present paper, a mathematical model for a portfolio is proposed. This model is valid for operations of buying and selling shares of an asset in constant periods… Click to show full abstract

Abstract In the present paper, a mathematical model for a portfolio is proposed. This model is valid for operations of buying and selling shares of an asset in constant periods of time, additionally, it has a state space form which can be used to design a control law using control theory. The designed control law can be interpreted as a trading signal to reach a portfolio value desired. The mathematical model and control law proposed are validated by means simulations using real daily prices of Mexican stock exchange.

Keywords: portfolio modeling; portfolio; control; control theory; control law

Journal Title: IFAC-PapersOnLine
Year Published: 2018

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