To calculate this statistic for a given return series r₁, ..., r_n, the program partitions the series in two parts, one made up of the positive returns, the other of the zero and negative returns. The average up and down returns are the respective averages of these two series.

Average Up Return =

Average Down Return =

where

    l = NumUpPeriods
    u₁, ..., u_l = the positive returns in r₁, ..., r_n
    m = NumDownPeriods
    d₁, ..., d_m = the non-positive returns in r₁, ..., r_n