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 2/20 Day EMA Breakout System  Alan Hull's Rate of Return Indicator, translated from TradeStation code ATR - True & Reverse 2-point plot

## 2/20 Day EMA Breakout System

To create the 2/20-Day EMA Breakout System by David Landry in MetaStock for Windows, choose System Tester from the Tools menu. Now choose new and enter the following system test rules and options:

Signal Formulas
 Enter Long Alert(Cross(Sum(L > Mov(C,20,E),2) = 2,.5),10) AND HIGH >= Peak(1,Cross(Sum(L > Mov(C,20,E),2) = 2,.5) * HHV(H,2),1) + .001{10 ticks} AND BarsSince(Cross(Sum(L > Mov(C,20,E),2) = 2,.5)) < BarsSince(LOW <= Mov(C,20,E)) Close Long LOW <= Mov(C,20,E) Enter Short Alert(Cross(Sum(H < Mov(C,20,E),2) = 2,.5),10) AND LOW <= Peak(1,Cross(Sum(H < Mov(C,20,E),2) = 2,.5) * LLV(L,2),1) - .001{10 ticks} AND BarsSince(Cross(Sum(H < Mov(C,20,E),2) = 2,.5)) < BarsSince(HIGH >= Mov(C,20,E)) Close Short HIGH >= Mov(C,20,E)
• Initial equity Points Only
• Positions Long and short
• Trade price Close
• Trade delay 0

Please note the {10 ticks} comment in the system rules. The value used in these rules is for most currencies. You should change this value based upon the commodity your testing.

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## Alan Hull's Rate of Return Indicator, translated from TradeStation code

MetaStock -> Tools -> Indicator Builder -> New
Copy and paste all formulae below.  Plot only last formula.

RorPlot1

If(Round(
(6.854*LinearReg(C,13)
+4.236*LinearReg(LinearReg(C,13),11)
+2.618*LinearReg(LinearReg(LinearReg(C,13),11),7)
+1.618*LinearReg(LinearReg(LinearReg(LinearReg(C,13),11),7),5)
+LinearReg(LinearReg(LinearReg(LinearReg(LinearReg(C,13),11),7),5),3))
/16.326*100)/100 > PREV
,If(Round(
(6.854*LinearReg(C,13)
+4.236*LinearReg(LinearReg(C,13),11)
+2.618*LinearReg(LinearReg(LinearReg(C,13),11),7)
+1.618*LinearReg(LinearReg(LinearReg(LinearReg(C,13),11),7),5)
+LinearReg(LinearReg(LinearReg(LinearReg(LinearReg(C,13),11),7),5),3))
/16.326*100)/100 - (2.5*ATR(13)) > PREV
,Round(
(6.854*LinearReg(C,13)
+4.236*LinearReg(LinearReg(C,13),11)
+2.618*LinearReg(LinearReg(LinearReg(C,13),11),7)
+1.618*LinearReg(LinearReg(LinearReg(LinearReg(C,13),11),7),5)
+LinearReg(LinearReg(LinearReg(LinearReg(LinearReg(C,13),11),7),5),3))
/16.326*100)/100 - (2.5*ATR(13))
,PREV)
,LinearReg(C,13))

RorPlot2

Tperiod:=13;
CFlow:=100000;

If(
Sum(WC()*V,13) > CFlow
AND (LinearReg(WC(),13)
+LinearReg(LinearReg(WC(),8),13)
+LinearReg(LinearReg(LinearReg(WC(),5),8),13)
+LinearReg(LinearReg(LinearReg(LinearReg(WC(),3),5),8),13)
+LinearReg(LinearReg(LinearReg(LinearReg(LinearReg(WC(),2),3),5),8),13))/5
> (LinearReg(Ref(WC(),-1),13)
+LinearReg(LinearReg(Ref(WC(),-1),8),13)
+LinearReg(LinearReg(LinearReg(Ref(WC(),-1),5),8),13)
+LinearReg(LinearReg(LinearReg(LinearReg(Ref(WC(),-1),3),5),8),13)
+LinearReg(LinearReg(LinearReg(LinearReg(LinearReg(Ref(WC(),-1),2),3),5),8),13))/5
AND LLVBars(WC(),Tperiod) = Tperiod-1
AND PREV = 0
AND Mov(WC(),13,S) > Mov(WC(),21,S)
,Tperiod-1
,If(PREV > Tperiod-2
AND Mov(WC(),13,S) > Mov(WC(),21,S)
{AND Ref(Fml("RorPlot3"),-1) > 24} {Invalid circular reference!}
AND Fml("RorPlot1") >= Ref(Fml("RorPlot1"),-1)
,PREV+1
,If(Mov(WC(),21,S) >= Mov(WC(),13,S)
OR Sum(WC()*V,13) > CFlow
OR Ref(Fml("RorPlot1"),-1) > Fml("RorPlot1")
{OR Ref(Fml("RorPlot3"),-1) < 25} {Invalid circular reference!}
,0,PREV)))

RorPlot3

Round(
If(Fml("RorPlot2")>0,
If(Fml("RorPlot2")<52,
(5200/(Fml("RorPlot2")+1))*((LinearReg(WC(),13)
{-Ref(WC(),-Fml("RorPlot2")) <--MS cannot handle variables in Ref function!}
-Ref(WC(),-20)) {<-- replaced with 20 period Ref function!}
/LinearReg(WC(),13)),
100*((LinearReg(WC(),13)-LinearReg(Ref(WC(),-51),13))/LinearReg(WC(),13))),0))

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## ATR - True & Reverse

{ True, Reverse & MetaStock ATR v3.0 }{ ©Copyright 2004 Jose Silva }{ josesilva22@yahoo.com }

{ Reverse True Range is the the *smallest*  of the following for each period:
* The distance from today's High  to today's Low;
* The distance from yesterday's Close to today's High;
* The distance from yesterday's Close to today's Low.}

{ user input }
plot:=Input("[1]True ATR,  [2]Reverse ATR,  [3]Both,  [4]MS-ATR",1,4,1);
pds:=Input("Average True Range periods",1,252,10);
pdsN:=Input("normalizing periods (1=none)",1,2520,1);
smooth:=Input("Sine-weighted smoothing?  [1]Yes,  [0]No",0,1,0);

{ define True Range }
x1:=ValueWhen(2,1,C);
TrueRange:=Max(H-L,Max(Abs(x1-H),Abs(x1-L)));
RevTrueRange:=Min(H-L,Min(Abs(x1-H),Abs(x1-L)));

{ average True Range }
ATRtrue:=Mov(TrueRange,pds,E);
ATRrev:=Mov(RevTrueRange,pds,E);
ATRmeta:=Mov(TrueRange,pds*2-1,E);

{ normalize ATR }
ATRraw:=If(plot=1,ATRtrue,If(plot=2,ATRrev,If(plot=4,ATRmeta,ATRtrue)));
ATRnorm:=100*(ATRraw-LLV(ATRraw,pdsN))/(HHV(ATRraw,pdsN)-LLV(ATRraw,pdsN)+.000001);
ATRplot:=If(pdsN<2,ATRraw,ATRnorm);
rATRnorm:=100*(ATRrev-LLV(ATRrev,pdsN))/(HHV(ATRrev,pdsN)-LLV(ATRrev,pdsN)+.000001);
rATRplot:=If(pdsN<2,RevTrueRange,rATRnorm);

{ optional sine-weighted smoothing }
ATRplot:=If(smooth=1,(Sin(30)*ATRplot
+Sin(60)*Ref(ATRplot,-1)
+Sin(90)*Ref(ATRplot,-2)
+Sin(60)*Ref(ATRplot,-3)
+Sin(30)*Ref(ATRplot,-4))
/(Sin(30)*2+Sin(60)*2+Sin(90)),ATRplot);
rATRplot:=If(smooth=1,(Sin(30)*rATRplot
+Sin(60)*Ref(rATRplot,-1)
+Sin(90)*Ref(rATRplot,-2)
+Sin(60)*Ref(rATRplot,-3)
+Sin(30)*Ref(rATRplot,-4))
/(Sin(30)*2+Sin(60)*2+Sin(90)),rATRplot);

{ plot ATR }
If(plot=3,rATRplot,ATRplot);
ATRplot

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## 2-point plot

{ 2-point plot, coding example v2.5 }{ Trendline choice 1: last High/Low in month }{ Trendline choice 2: lows at Jan/June 2004 }{ ©Copyright 2003-2004 Jose Silva }{ josesilva22@yahoo.com }

plot:=Input("choose event trend [1~2]",1,2,1);
choose:=Input("plot: trendline [1],  event points [2]",1,2,1);

{define events}
time1:=C=HHV(C,21);
time2:=C=LLV(C,21);
time2:=time2 AND time2<>time1;

{alternative events}
dateA:=Year()=2004 AND Month()=1;
dateA:=If(LastValue(Cum(dateA))=0,
Year()=LastValue(Year())-1
AND Month()=LastValue(Month()),dateA);
LoValA:=Lowest(ValueWhen(1,dateA,L));
timeA:=dateA AND L=LastValue(LoValA);

dateB:=Year()=2004 AND Month()=6;
dateB:=If(LastValue(Cum(dateB))=0,
Year()=LastValue(Year())
AND Month()=LastValue(Month()),dateB);
LoValB:=Lowest(ValueWhen(1,dateB,L));
timeB:=dateB AND L=LastValue(LoValB);
timeB:=timeB AND timeB<>timeA;

{choose events}
time1:=If(plot=1,time1,timeA);
time2:=If(plot=1,time2,timeB);
price1:=If(plot=1,C,L);
price2:=If(plot=1,C,L);

{restrict to last events}
time1:=time1
AND Cum(time1)=LastValue(Cum(time1));
time2:=time2
AND Cum(time2)=LastValue(Cum(time2));

{sort events}
t1pds:=LastValue(BarsSince(time1));
t2pds:=LastValue(BarsSince(time2));
x1:=If(t1pds>=t2pds,time1,time2);
x2:=If(t1pds>=t2pds,time2,time1);
y1:=If(t1pds>=t2pds,price1,price2);
y2:=If(t1pds>=t2pds,price2,price1);

{fix coordinates}
y1:=ValueWhen(1,x1,y1);
y2:=LastValue(ValueWhen(1,x2,y2));
b1:=LastValue(BarsSince(x1));
b2:=LastValue(BarsSince(x2));

{trendline definition}
plot:=y1+BarsSince(x1)*(y2-y1)/(b1-b2+.000001);
plot:=Ref(Ref(plot,-b2),b2);{rem to extend plot}

If(choose=1,plot,time1+time2)

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