Uma abordagem diferente para a Divergência de Convergência da Média Móvel clássica de Gerald Appel.
Appel originalmente definiu o MACD com médias móveis exponenciais. Nesta versão, os utilizadores podem aplicar 11 tipos diferentes de médias móveis que podem beneficiar da sua suavidade e vice-versa de nitidez...
Construído no tipo de média móvel definido por padrão como VAR, mas os usuários podem escolher entre 11 tipos diferentes de média móvel como:
SMA: média móvel simples EMA: média móvel exponencial WMA: média móvel ponderada DEMA: média móvel exponencial dupla TMA: média móvel triangular VAR: índice variável média móvel dinâmica também conhecida como VIDYA WWMA: Welles Wilder's Moving Average ZLEMA: média móvel exponencial de atraso zero TSF: A verdadeira força da força HULL: média móvel do Hull TILL: média móvel de Tillson T3
Em prazos mais curtos, os resultados dos backtests mostram-nos que TILL, WWMA, VIDYA (VAR) podem ser usados para superar os whipsaws porque têm menos números de sinais. Em prazos mais longos, como gráficos diários WMA, MACD V2 ponderado por volume e MACDAS e SMA são mais precisos de acordo com os resultados do backtest.
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)