Agent-Based Model in Directional-Change Intrinsic Time

30 Pages Posted: 10 Sep 2018 Last revised: 15 May 2020

See all articles by Vladimir Petrov

Vladimir Petrov

University of Zurich

Anton Golub

Flov technologies

Richard B. Olsen

Lykke Corp; Olsen & Associates

Date Written: August 29, 2018


We describe an agent-based model where trades happen in event-based time called directional-change intrinsic time. Events are defined as the reversal price moves of a directional-change threshold from a local extreme. The price impact of traded volumes is modelled according to the empirically observed squared root impact function. The time series generated by the agents is characterised by statistical properties typical for foreign exchange rates: low auto-correlation of returns, fat-tailed distribution of returns, aggregated normality, and the price jump scaling law. Furthermore, we introduce and use as a benchmark, the overshoot scaling law, which is an omnipresent feature of liquid markets and relates the expected length of price overshoots to the length of the corresponding directional-change threshold.

Keywords: Agent-Based Model, Stylized Facts, Forex, Directional-Change, Intrinsic Time, Scaling Laws

JEL Classification: G17, D47, C15

Suggested Citation

Petrov, Vladimir and Golub, Anton and Olsen, Richard B., Agent-Based Model in Directional-Change Intrinsic Time (August 29, 2018). Available at SSRN: or

Vladimir Petrov (Contact Author)

University of Zurich ( email )

Rämistrasse 71
Zürich, CH-8006

Anton Golub

Flov technologies ( email )

Gotthardstrasse 26
Zug, Zug 6300

Richard B. Olsen

Lykke Corp ( email )

Baarerstrasse 2
Zug, Zug 6300
41793368950 (Phone)


Olsen & Associates ( email )

Wehrenbachhalde 46
Zurich, 8053
+41 79 336 89 50 (Phone)
+41 (1) 422 22 82 (Fax)

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