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Re: [amibroker] Re: Convexity, Concavity and their use



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Andrew,
 
This "change" has a very queer effect on my charts. As I click 
through a group of charts, the 'change' curve remains full scale, but the other 
curves 'Y' and 'C' shrink in the vertical plane to become straight lines 
eventually!
 
Anyone else see this?
 
Steve
<BLOCKQUOTE 
>
  ----- Original Message ----- 
  <DIV 
  >From: 
  <A title=a.perrin@xxxxxxxxxxxxxxx 
  href="">Andrew 
  To: <A title=amibroker@xxxxxxxxxxxxxxx 
  href="">amibroker@xxxxxxxxxxxxxxx 
  Sent: Saturday, September 27, 2003 
  01:12
  Subject: [amibroker] Re: Convexity, 
  Concavity and their use
  To measure how "deep" the concave/convex is you could 
  insert these 2 lines of code into DT's afl.  The greater the upward 
  concave the higher the value of positive value of "change", The greater 
  the downward concave the more negative the value of 
  "change".Change =((y-Ref(y,-t))/t) - ((y-Ref(y,-(t+1)))/(t+1))  
  ;Plot(Change,"Change",colorYellow,32770);Andrew--- In 
  amibroker@xxxxxxxxxxxxxxx, "sidleysh" <steves@xxxx> wrote:> OK - 
  I will try and be more articulate.> > The code you generously 
  developed identified concave and convex > shapes in the chart, after 
  some initial smoothing. This indicates > areas where the chart was 
  accelarating or decelerating in either > an 'up' direction or a'down' 
  direction. You identified these as > bullstart, bearstart, etc.> 
  > I optmizied on both your K paraneter (for smoothing) and T 
  parameter > (for lookback period) and was able to get nice resutls 
  for indivdual > stocks, but could not find a robust set of 
  paramters for a basket (in > this case the NDX100).> 
  > This led to a suggestion for 2 possible improvements to the 
  code:> > 1) A way to identify only 'deep' concaves and convexes 
  - which would > signal fast acceleration/deceleration, which, 
  presumably would signal > the start of a short trend. For 'shallow' 
  concaves and convexes, the > strategy would be to hold 
  position.> 2) A more adaptive smoothing algorithm> > 
  > Cheers,> > Steve> > > --- In 
  amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS" <TSOKAKIS@xxxx> 
  > wrote:> > If you have the time, it would be better to give 
  more specific > > descriptions/codes. This would help the [more than 
  1000] readers to > > understand better your text ["optimize", 
  "delta" etc]> > This would also help the progress of this [hopefully 
  interesting] > > thread.> > Dimitris Tsokakis> 
  > --- In amibroker@xxxxxxxxxxxxxxx, "sidleysh" <steves@xxxx> 
  wrote:> > > DT - thanks, good stuff. Obviously the smoothing 
  algorithm causes > a > > > lag in signal, so I am 
  finding good results when I optimize, but > I > > > 
  fear I am curve fitting.  (I cannot find a set of coefficents for 
  > K > > > and T that work reasonably over the whole 
  market). > > > > > > This could be vastly improved 
  by only trading on 'serious' > > covexities > > > and 
  concavities, and staying out for the shallow ones. The > serious 
  > > > ones could be defined as when today delta is greater than 
  2* > > > yesterday's delta, which is greater than 2* the previous 
  day's > > delta > > > (or some such). You then stay in 
  the trade (long) until it starts > > to > > > 
  descend. > > > > > > --- In 
  amibroker@xxxxxxxxxxxxxxx, "Dimitris Tsokakis" > > 
  <TSOKAKIS@xxxx> > > > wrote:> > > > An 
  ideal sinusoidal has 4 phases:> > > > > > > > 
  Convex AND Ascending;// colorDarkGreen> > > > Concave AND 
  Ascending;// colorTurquoise> > > > Concave AND Descending;// 
  colorDarkRed> > > > Convex AND Descending;// colorPink> 
  > > > The IB code illustrates the example > > > > 
  > > > > // The 4 phases of an ideal sinusoidal> > 
  > > freq = 1;> > > > y=sin( Cum( freq/10 ) );> 
  > > > t=1;> > > > 
  Convex=(y-Ref(y,-t))/t>=(y-Ref(y,-(t+1)))/(t+1);> > > > 
  Concave=NOT(Convex);> > > > Ascending=y>=Ref(y,-1);> 
  > > > Descending=NOT(ascending);> > > > 
  Bullstart=Convex AND Ascending;> > > > Bullend=Concave AND 
  ascending;> > > > Bearstart=Concave AND Descending;> 
  > > > Bearend=Convex AND Descending;> > > > 
  Color=IIf(Bullstart,colorDarkGreen,IIf> 
  (Bullend,colorTurquoise,IIf> > > 
  (Bearstart,colorDarkRed,colorPink)));> > > > 
  Plot(y,"",Color,8);> > > > > > > > [see 
  sin.gif]> > > > We shall use a smoothing procedure [IIR2 
  filter] as close to > the > > > sinusoidal as possible. 
  [see IIR2.gif]> > > > Of course the trend characteristics do 
  not give the [-1, +1] > > > oscillation, but the 
  convexity/concavity are still detectable.> > > > The 
  superimpose of actual price candles gives a more > descriptive > 
  > > picture of the 4 phases.> > > > [see 
  4phases.gif]> > > > The full code is> > > > 
  > > > > // The 4 phases of a stock graph> > > 
  > // A. Smothing procedure> > > > function IIR2( input, f0, 
  f1, f2 )> > > > {> > > > result[ 0 ] = input[ 
  0 ];result[ 1 ] = input[ 1 ]; > > > > for( i = 2; i < 
  BarCount; i++ )> > > > {> > > > result[ i ] = 
  f0 * input[ i ] + f1 * result[ i - 1 ] + f2 * > result> > [ 
  > > > i - 2 ]; > > > > }> > > > 
  return result;> > > > }> > > > C1=C;> 
  > > > k=0.3;> > > > RD=IIR2( C1, 0.3, 1.2+K, 
  -0.5-K);> > > > // B. Convexity definition> > > 
  > y=RD;> > > > t=1;> > > > 
  Convex=(y-Ref(y,-t))/t>=(y-Ref(y,-(t+1)))/(t+1);> > > > 
  Concave=NOT(Convex);> > > > Ascending=y>=Ref(y,-1);> 
  > > > Descending=NOT(ascending);> > > > // C. Trend 
  phases> > > > Bullstart=Convex AND Ascending;// from A to 
  B> > > > Bullend=Concave AND ascending;// from B to C> 
  > > > Bearstart=Concave AND Descending;// from C to D> > 
  > > Bearend=Convex AND Descending;// from D to E> > > > 
  // D. Application> > > > 
  Color=IIf(Bullstart,colorDarkGreen,IIf> 
  (Bullend,colorTurquoise,IIf> > > 
  (Bearstart,colorDarkRed,colorPink)));> > > > 
  Plot(y,"",Color,8+styleThick);> > > > 
  Plot(C,"",47,64);GraphXSpace=5;Send 
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