Author: Andrey N. Bolkonsky

Stochastic Momenum (Stochastic Momentum, SM) by William Blau (see Momentum, Direction, and Divergence: Applying the Latest Momentum Indicators for Technical Analysis).

The q-period Stochastic Momentum is defined as a distance of the current close from the midpoint of q bars.

• The value of Stochastic Momentum indicates the distance between the midpoint of q-period price range.
• The sign of Stochastic Momentum indicates the price position relative to the midpoint of price range: the positive values if the price is higher than midpoint, the negative if the price is lower than midpoint of price range.

Definition of Stochastic Momentum by William Blau

• WilliamBlau.mqh must be placed in terminal_data_folder\MQL5\Include\
• Blau_SM.mq5 must be placed in terminal_data_folder\MQL5\Indicators\

Calculation:

The formula for calculation of q-period Stochastic Momentum is following:

where:

• price - close price;
• q - number of bars, used in calculation of Stochastic Momentum;
• LL(q) - minimal price (q bars);
• HH(q) - maximal price (q bars);
• 1/2*[LL(q)+HH(q)] - midpoint of the q-period price range.

The smoothed q-period Stochastic Momentum is calculated by formula:

where:

• price - close price;
• q - number of bars, used in calculation of Stochastic Momentum;
• sm(price,q)=price-1/2*[LL(q)+HH(q)] - q-period Stochastic Momentum;
• EMA(sm(price,q),r) - 1st smoothing- exponentially smoothed moving average with period r, applied to q-period Stochastic Momentum;
• EMA(EMA(...,r),s) - 2nd smoothing - EMA of period s, applied to result of the 1st smoothing;
• EMA(EMA(EMA(sm(q),r),s),u) - 3rd smoothing - EMA of period u, applied to result of the 2nd smoothing.

Input parameters:

• q - period of Stochastic Momentum (by default q=5);
• r - period of the 1st EMA, applied to Stochastic Momentum (by default r=20);
• s - period of the 2nd EMA, applied to result of the 1st smoothing (by default s=5);
• u - period of the 3rd EMA, applied to result of the 2nd smoothing (by default u=3);
• AppliedPrice - price type (by default AppliedPrice=PRICE_CLOSE).

Note:

• q>0;
• r>0, s>0, u>0. If r, s or u =1, smoothing is not used;
• Min. rates =(q-1+r+s+u-3+1).