A different approach to Gerald Appel’s classical Moving Average Convergence Divergence.
Appel originaly set MACD with exponential moving averages. In this version users can apply 11 different types of moving averages which they can benefit from their smoothness and vice versa sharpnesses…
Built in Moving Average type defaultly set as VAR but users can choose from 11 different Moving Average types like:
SMA : Simple Moving Average EMA : Exponential Moving Average WMA : Weighted Moving Average DEMA : Double Exponential Moving Average TMA : Triangular Moving Average VAR : Variable Index Dynamic Moving Average a.k.a. VIDYA WWMA : Welles Wilder’s Moving Average ZLEMA : Zero Lag Exponential Moving Average TSF : True Strength Force HULL : Hull Moving Average TILL : Tillson T3 Moving Average
In shorter time frames backtest results shows us TILL, WWMA, VIDYA (VAR) could be used to overcome whipsaws because they have less numbers of signals. In longer time frames like daily charts WMA , Volume Weighted MACD V2, and MACDAS and SMA are more accurate according to backtest results.
backtest
/*backtest start: 2022-04-23 00:00:00 end: 2022-05-22 23:59:00 period: 30m basePeriod: 15m exchanges: [{"eid":"Futures_Binance","currency":"BTC_USDT"}] */ //@version=4 // This source code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/ // © KivancOzbilgic //developer: Gerald Appel //author: @kivancozbilgic strategy("MACD ReLoaded","MACDRe", overlay=true) src = input(close, title="Source") length=input(12, "Short Moving Average Length", minval=1) length1=input(26, "Long Moving Average Length", minval=1) length2=input(9, "Trigger Length", minval=1) T3a1 = input(0.7, "TILLSON T3 Volume Factor", step=0.1) barcoloring = input(title="Bar Coloring On/Off ?", type=input.bool, defval=true) mav = input(title="Moving Average Type", defval="VAR", options=["SMA", "EMA", "WMA", "DEMA", "TMA", "VAR", "WWMA", "ZLEMA", "TSF", "HULL", "TILL"]) Var_Func(src,length)=> valpha=2/(length+1) vud1=src>src[1] ? src-src[1] : 0 vdd1=src<src[1] ? src[1]-src : 0 vUD=sum(vud1,9) vDD=sum(vdd1,9) vCMO=nz((vUD-vDD)/(vUD+vDD)) VAR=0.0 VAR:=nz(valpha*abs(vCMO)*src)+(1-valpha*abs(vCMO))*nz(VAR[1]) VAR=Var_Func(src,length) DEMA = ( 2 * ema(src,length)) - (ema(ema(src,length),length) ) Wwma_Func(src,length)=> wwalpha = 1/ length WWMA = 0.0 WWMA := wwalpha*src + (1-wwalpha)*nz(WWMA[1]) WWMA=Wwma_Func(src,length) Zlema_Func(src,length)=> zxLag = length/2==round(length/2) ? length/2 : (length - 1) / 2 zxEMAData = (src + (src - src[zxLag])) ZLEMA = ema(zxEMAData, length) ZLEMA=Zlema_Func(src,length) Tsf_Func(src,length)=> lrc = linreg(src, length, 0) lrc1 = linreg(src,length,1) lrs = (lrc-lrc1) TSF = linreg(src, length, 0)+lrs TSF=Tsf_Func(src,length) HMA = wma(2 * wma(src, length / 2) - wma(src, length), round(sqrt(length))) T3e1=ema(src, length) T3e2=ema(T3e1,length) T3e3=ema(T3e2,length) T3e4=ema(T3e3,length) T3e5=ema(T3e4,length) T3e6=ema(T3e5,length) T3c1=-T3a1*T3a1*T3a1 T3c2=3*T3a1*T3a1+3*T3a1*T3a1*T3a1 T3c3=-6*T3a1*T3a1-3*T3a1-3*T3a1*T3a1*T3a1 T3c4=1+3*T3a1+T3a1*T3a1*T3a1+3*T3a1*T3a1 T3=T3c1*T3e6+T3c2*T3e5+T3c3*T3e4+T3c4*T3e3 getMA(src, length) => ma = 0.0 if mav == "SMA" ma := sma(src, length) ma if mav == "EMA" ma := ema(src, length) ma if mav == "WMA" ma := wma(src, length) ma if mav == "DEMA" ma := DEMA ma if mav == "TMA" ma := sma(sma(src, ceil(length / 2)), floor(length / 2) + 1) ma if mav == "VAR" ma := VAR ma if mav == "WWMA" ma := WWMA ma if mav == "ZLEMA" ma := ZLEMA ma if mav == "TSF" ma := TSF ma if mav == "HULL" ma := HMA ma if mav == "TILL" ma := T3 ma ma MA12=getMA(src, length) Var_Func1(src,length1)=> valpha1=2/(length1+1) vud11=src>src[1] ? src-src[1] : 0 vdd11=src<src[1] ? src[1]-src : 0 vUD1=sum(vud11,9) vDD1=sum(vdd11,9) vCMO1=nz((vUD1-vDD1)/(vUD1+vDD1)) VAR1=0.0 VAR1:=nz(valpha1*abs(vCMO1)*src)+(1-valpha1*abs(vCMO1))*nz(VAR1[1]) VAR1=Var_Func1(src,length1) DEMA1 = ( 2 * ema(src,length1)) - (ema(ema(src,length1),length1) ) Wwma_Func1(src,length1)=> wwalpha1 = 1/ length1 WWMA1 = 0.0 WWMA1 := wwalpha1*src + (1-wwalpha1)*nz(WWMA1[1]) WWMA1=Wwma_Func1(src,length1) Zlema_Func1(src,length1)=> zxLag1 = length1/2==round(length1/2) ? length1/2 : (length1 - 1) / 2 zxEMAData1 = (src + (src - src[zxLag1])) ZLEMA1 = ema(zxEMAData1, length1) ZLEMA1=Zlema_Func1(src,length1) Tsf_Func1(src,length1)=> lrc1 = linreg(src, length1, 0) lrc11 = linreg(src,length1,1) lrs1 = (lrc1-lrc11) TSF1 = linreg(src, length1, 0)+lrs1 TSF1=Tsf_Func1(src,length1) HMA1 = wma(2 * wma(src, length1 / 2) - wma(src, length1), round(sqrt(length1))) T3e11=ema(src, length1) T3e21=ema(T3e11,length1) T3e31=ema(T3e21,length1) T3e41=ema(T3e31,length1) T3e51=ema(T3e41,length1) T3e61=ema(T3e51,length1) T3c11=-T3a1*T3a1*T3a1 T3c21=3*T3a1*T3a1+3*T3a1*T3a1*T3a1 T3c31=-6*T3a1*T3a1-3*T3a1-3*T3a1*T3a1*T3a1 T3c41=1+3*T3a1+T3a1*T3a1*T3a1+3*T3a1*T3a1 T31=T3c11*T3e61+T3c21*T3e51+T3c31*T3e41+T3c41*T3e31 getMA1(src, length1) => ma1 = 0.0 if mav == "SMA" ma1 := sma(src, length1) ma1 if mav == "EMA" ma1 := ema(src, length1) ma1 if mav == "WMA" ma1 := wma(src, length1) ma1 if mav == "DEMA" ma1 := DEMA1 ma1 if mav == "TMA" ma1 := sma(sma(src, ceil(length1 / 2)), floor(length1 / 2) + 1) ma1 if mav == "VAR" ma1 := VAR1 ma1 if mav == "WWMA" ma1:= WWMA1 ma1 if mav == "ZLEMA" ma1 := ZLEMA1 ma1 if mav == "TSF" ma1 := TSF1 ma1 if mav == "HULL" ma1 := HMA1 ma1 if mav == "TILL" ma1 := T31 ma1 ma1 MA26=getMA1(src, length1) src2=MA12-MA26 Var_Func2(src2,length2)=> valpha2=2/(length2+1) vud12=src2>src2[1] ? src2-src2[1] : 0 vdd12=src2<src2[1] ? src2[1]-src2 : 0 vUD2=sum(vud12,9) vDD2=sum(vdd12,9) vCMO2=nz((vUD2-vDD2)/(vUD2+vDD2)) VAR2=0.0 VAR2:=nz(valpha2*abs(vCMO2)*src2)+(1-valpha2*abs(vCMO2))*nz(VAR2[1]) VAR2=Var_Func2(src2,length2) DEMA2 = ( 2 * ema(src2,length2)) - (ema(ema(src2,length2),length2) ) Wwma_Func2(src2,length2)=> wwalpha2 = 1/ length2 WWMA2 = 0.0 WWMA2 := wwalpha2*src2 + (1-wwalpha2)*nz(WWMA2[1]) WWMA2=Wwma_Func2(src2,length2) Zlema_Func2(src2,length2)=> zxLag2 = length2/2==round(length2/2) ? length2/2 : (length2 - 1) / 2 zxEMAData2 = (src2 + (src2 - src2[zxLag2])) ZLEMA2 = ema(zxEMAData2, length2) ZLEMA2=Zlema_Func2(src2,length2) Tsf_Func2(src2,length2)=> lrc2 = linreg(src2, length2, 0) lrc12 = linreg(src2,length2,1) lrs2 = (lrc2-lrc12) TSF2 = linreg(src2, length2, 0)+lrs2 TSF2=Tsf_Func2(src2,length2) HMA2 = wma(2 * wma(src2, length2 / 2) - wma(src2, length2), round(sqrt(length2))) T3e12=ema(src2, length2) T3e22=ema(T3e12,length2) T3e32=ema(T3e22,length2) T3e42=ema(T3e32,length2) T3e52=ema(T3e42,length2) T3e62=ema(T3e52,length2) T3c12=-T3a1*T3a1*T3a1 T3c22=3*T3a1*T3a1+3*T3a1*T3a1*T3a1 T3c32=-6*T3a1*T3a1-3*T3a1-3*T3a1*T3a1*T3a1 T3c42=1+3*T3a1+T3a1*T3a1*T3a1+3*T3a1*T3a1 T32=T3c12*T3e62+T3c22*T3e52+T3c32*T3e42+T3c42*T3e32 getMA2(src2, length2) => ma2 = 0.0 if mav == "SMA" ma2 := sma(src2, length2) ma2 if mav == "EMA" ma2 := ema(src2, length2) ma2 if mav == "WMA" ma2 := wma(src2, length2) ma2 if mav == "DEMA" ma2 := DEMA2 ma2 if mav == "TMA" ma2 := sma(sma(src2, ceil(length2 / 2)), floor(length2 / 2) + 1) ma2 if mav == "VAR" ma2 := VAR2 ma2 if mav == "WWMA" ma2 := WWMA2 ma2 if mav == "ZLEMA" ma2 := ZLEMA2 ma2 if mav == "TSF" ma2 := TSF2 ma2 if mav == "HULL" ma2 := HMA2 ma2 if mav == "TILL" ma2 := T32 ma2 ma2 MATR=getMA2(MA12-MA26, length2) hist = src2 - MATR FromMonth = input(defval = 9, title = "From Month", minval = 1, maxval = 12) FromDay = input(defval = 1, title = "From Day", minval = 1, maxval = 31) FromYear = input(defval = 2018, title = "From Year", minval = 999) ToMonth = input(defval = 1, title = "To Month", minval = 1, maxval = 12) ToDay = input(defval = 1, title = "To Day", minval = 1, maxval = 31) ToYear = input(defval = 9999, title = "To Year", minval = 999) start = timestamp(FromYear, FromMonth, FromDay, 00, 00) finish = timestamp(ToYear, ToMonth, ToDay, 23, 59) window() => true buySignal = crossover(hist, 0) if (crossover(hist, 0)) strategy.entry("MacdLong", strategy.long, comment="MacdLong") sellSignal = crossunder(hist, 0) if (crossunder(hist, 0)) strategy.entry("MacdShort", strategy.short, comment="MacdShort") buy1= barssince(buySignal) sell1 = barssince(sellSignal) color1 = buy1[1] < sell1[1] ? color.green : buy1[1] > sell1[1] ? color.red : na barcolor(barcoloring ? color1 : na)