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Peter and others,
Whilst the EMA has influences beyond its intended lookback period, its
periodicity approximates SMA periodicity - it is not out by a factor
of two as in the MS ATR smoothing.
"I don't agree with the thinking behind the statement "should be .. an
average of the True Range over 10 periods" for the following reason."
In that case you are in disagreement with MetaStock Help:
"The Average True Range is simply the average of the true ranges over
the past x periods (where x is specified by the user)"
The MS Average True Range is simply *not* the average of True Ranges
over the past x periods. As used in MS, it is a smoothing mechanism
that in effect averages the True Range over almost twice the user's
intended lookback periodicity.
jose '-)
--- In Metastockusers@xxxxxxxxxxxxxxx, "Peter Kuskopf" <pkuskopf@xxxx>
wrote:
> We could argue that Wilders should have used a slightly different
name for his indicator, but I guess an inventor has the prerogative.
>
> I don't agree with the thinking behind the statement "should be ..
an average of the True Range over 10 periods" for the following
reason.
>
> Both Wilders and Exponential smoothing contain influences from
further back than the nominated periods. That is, "periods" is a
damping factor, not a limitation on the data to be included in the
calculation. There are probably many other indicators where the term
"periods" is used loosely in this way.
>
> I think it's just another little fact that we need to remember
if/when transferring code between trading platforms, Wilders original
definition of ATR used his own method of smoothing which probably
pre-dated computer calculation of the current common definition of an
EMA.
>
> At various times, I have used 3 different measures of volatility,
ATR(n), SMA(ATR(1),n), and EMA(ATR(1),n), and in my systems, I always
adjust "n" to sit inside a range of robust optimised values. I've
never noticed much difference between the variants when compared
against the differences caused by my own inadequacies.
>
>
> Peter
>
>
> ----- Original Message -----
> From: Jose
> To: Metastockusers@xxxxxxxxxxxxxxx
> Sent: Friday, February 27, 2004 8:44 PM
> Subject: [Metastockusers] Re: ATR - True & Reverse
>
>
> Hi Roy,
>
> Leaving Exponential Moving Averages aside for the moment, it's my
firm
> belief that any x-period averaging mechanism should do exactly
what it
> says.
> Again, it's my opinion that regardless of what Mr Wilder intended
in
> the application of Average True Range (ATR), a 10-period ATR
should be
> just that: an average of the True Range over 10 periods.
>
> The way ATR is implemented in MetaStock, a 10-period ATR is an
> exponential average of the True Range over 19 periods:
> ATR(10)=Mov(ATR(1),19,E)
>
> As Bill pointed out in the previous post, TradeStation computes
the
> correct simple average of True Range over x periods.
>
> How many of us thought until now, that we were using a 19-period
> average of the True Range in ATR(10)?
>
> In reality, using a Average True Range of x periods when we are
led to
> believe it's an average over (x+1)/2 periods, is simply
misleading.
> Why not call the smoothing something else rather than "periods"?
>
> The key word here is "Average" and its definition.
> Let's call a spade, a spade.
>
> jose '-)
>
>
> --- In Metastockusers@xxxxxxxxxxxxxxx, "Roy Larsen" <rlarsen@xxxx>
> wrote:
> > Hi Jose
> >
> > > Whilst coding the True/Reverse ATR indicator below, I've
noticed
> that
> > > MetaStock Pro v8.01 smooths ATR's erroneously. The MS
exponential
> > > smoothing is based on periods*2-1.
> >
> > The "periods*2-1" ratio is that used by Wilders Smoothing, the
form
> of exponential moving average
> > used in a number of indicators developed by Wilder.
> >
> > See the following code for similarities and differences. Notice
that
> Wilders Smoothing is seeded by
> > a Simple Moving Average for "n" periods while the EMA is seeded
on
> bar one by the value of the data
> > array being smoothed. The EMA code below does not have any N/A
plot
> (this can be created easily
> > enough) but it is still true to the standard MetaStock EMA.
> >
> > Since Wilder iss the author of the "Average True Range"
indicator I
> would think that Wilders
> > Smoothing is the intended form of smoothing. Of course I could
be
> wrong as you have seen more than
> > once in the past.
> >
> > {Exponential Moving Average}
> > n:=Input("Periods",1,999,10);
> > R:=2/(n+1); {ratio of new data added each bar}
> > If(Cum(1)=1,C,PREV*(1-R)+C*R);
> >
> > {Wilders Smoothing}
> > n:=Input("Periods",1,999,10);
> > R:=1/n; {ratio of new data added each bar}
> > If(Cum(1)<=n,Mov(C,n,S),PREV*(1-R)+C*R);
> >
> > Roy
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