Combining Relative Strength Index, the stochastic oscillator, and MACD as slope filters

After a trend or smoothing plan is chosen, momentum and oscillators are the remaining timing layer for marking turning points that lagging average crossovers miss.

Slope and the lookback stand-in

On a linear-trend plus two-cycle price model, local peaks and troughs occur where the first derivative is zero. Momentum here is the lookback price difference used as a numerical stand-in for that slope.

Lengthening the momentum lookback reduces lead versus price and makes high-frequency swings more peaked.

Because momentum behaves as a high-pass filter, market noise multiplies extra zero-line crossings. The useful reading is direction and crossing, not the raw level. A center approach only says the local trend is stalling.

MACD as a smoothed difference

MACD is formed by differencing two moving averages of price so both legs of the momentum calculation are smoothed, which cuts noise at the cost of lead.

A construction recipe sets the short momentum window well below the dominant cycle, the first average at twice that window, and the second average at about two-and-a-half to three times that window. A daily walkthrough then used a five-bar raw momentum and a ten-versus-fifteen-bar MACD, with a lagged second MACD line so their crossover, not the zero line, supplied the timing mark.

Bounded oscillators and long trends

Relative Strength Index and the stochastic oscillator bound their output with a nonlinear range compression, whereas MACD and raw momentum stay scaled to the size of the price swing.

When a trend lasts longer than the Relative Strength Index lookback, the oscillator can remain pinned at an extreme until the trend itself turns, so fixed overbought or oversold thresholds do not by themselves give crisp entries or exits.

Three timing readings

Center crossings, indicator crossovers, and slope divergences among price, MACD, Relative Strength Index, and the stochastic oscillator are the three timing readings offered. A divergence is a short interval when price slope and oscillator slope have opposite signs. Their usefulness depends on matching parameters to the mix of cycle, trend, and volatility in the series.