Some properties of Kagi and Renko moments for Brownian motion / M. A. Spiryaev. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. ? 2. P. 29-34 [Moscow Univ. Math. Bulletin. Vol. 67, N 2, 2012.].

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.