Model of discrete dynamics of asset price relations based on the minimal arbitrage principle

• Autorzy: Zvonko Kostanjčar , Kristian Hengster-Movrić , Branko Jeren
• Języki publikacji: EN

Abstrakty

EN

In this paper we present a deterministic and a probabilistic model of the dynamics of the price relations for a number of assets on the market. The formalism is based on the asset space introduced in a theory by Illinski. We derive, from an action functional for the system of price relations in that space, the corresponding difference equations, which constitute the deterministic description. Furthermore, we obtain the probability density function of the probabilistic model of market dynamics from the same action functional. The deterministic solution corresponds to a geometric sequence for the interest, whereas the derived probability density describes the probability of the next value of the price relations in dependence on their prior value. The formalism is completely developed for systems (markets) with two and three assets, but exactly the same approach is applicable to the systems consisting of an arbitrary number of assets.

Słowa kluczowe

EN

complex systems; financial markets; equilibrium dynamics; variation principle

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 3
• Strony: 865-873

Daty

wydano

2011-06-01

online

2011-02-26

Twórcy

autor

Zvonko Kostanjčar

• Department of Electronic Systems and Information Processing, University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, HR-10000, Zagreb, Croatia,

autor

Kristian Hengster-Movrić

• Advanced Controls and Sensors Group, University of Texas at Arlington, 701 S. Nedderman Drive, Arlington, TX, 76019, USA,

autor

Branko Jeren

• Department of Electronic Systems and Information Processing, University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, HR-10000, Zagreb, Croatia,

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Identyfikatory

DOI

10.2478/s11534-010-0093-x