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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012 Number 2, Pages 29–34 (Mi vmumm476)

Mathematics

Some properties of Kagi and Renko moments for Brownian motion

M. A. Spiryaev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The probabilistic characteristics of Kagi and Renko techniques are studied in the paper. Within the framework of the Bachelier model, a formula for expected gain of a trader following the Kagi strategy is derived. In addition, some properties of the “range” and ‘downfall’' of the Brownian motion are obtained.

Key words: Brownian motion, “downfall” and “range” of Brownian motion, Kagi and Renko strategies, Kagi and Renko stopping times.

UDC: 511

Received: 08.07.2011


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2012, 67:2, 74–78

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