Exponential Versus Simple Moving Averages

Hi Tom - I am a subscriber of yours and was wondering if you had a "conversion" chart for converting trend value % into period exponential MAs. for example, 10% Trend is roughly equal to a 19-period EMA, 1% TV to 200EMA etc. Thank you in advance.The formula for converting an exponential moving average (EMA) smoothing constant to a number of days is:

   2
-------
 n + 1

where n is the number of days.  Thus, a 19-day EMA would fit into the formula as follows:

    2             2
--------- =  ------- = 0.10, or 10%
 19 + 1        20

You can read one of the original pieces ever written about this concept by going to http://www.mcoscillator.com/reports/special/McClellan_MTAaward.pdf.  There, we excerpt from P.N. Haurlan's pamphlet, "Measuring Trend Values".  Haurlan was one of the first people to use exponential moving averages to track stock prices back in the 1960s, and we still prefer his original terminology of a XX% Trend, rather than calling an exponential moving average by some number of days.  One big reason for this is that with a simple moving average (SMA), you are only looking back a certain number of days.  Anything older than that lookback period does not factor into the calculation.  But with an EMA, the old data never disappears; it just becomes less and less important to the value of the moving average.

To understand why technicians care about EMAs versus SMAs, a quick look at this chart provides some an illustration of the difference.  During trending moves upward or downward,smaema_400 a 10% Trend and a 19-day SMA will largely be right together.  It is during periods when prices are choppy, or when the trend direction is changing, that we see the two start to move apart.
 
In those cases, the 10% Trend will usually hug the price action more closely, and thus be in a better position to signal a change when the price crosses it.  To many people, this property makes EMAs "better" than SMAs, but "better" is in the eye of the beholder.
 
The reason why engineers have used EMAs for years, especially in electronics, is that they are easier to calculate.  To determine today's new EMA value, you only need yesterday's EMA value, the smoothing constant, and today's new closing price (or other datum).  But to calculate a SMA, you have to know every value back in time for the whole lookback period.   
 
 

 

Tom McClellan
Editor
McClellan Market Report




Keywords: exponential moving average EMA simple SMA measuring trend values haurlan McClellan Oscillator smoothing constant

Related Articles

article Exponential Moving Averages Calculation
Can you help me understand how to convert trend value % into period exponential moving averages (EMAs)?  For example, you say that a 10% Trend...

article TC2000 Charting Package and Exponential Moving Averages
I am a TC2000 user, and have a question concerning their treatment of the indicators you have originated and use.  Below is a description of...

article Trend Indicator calculation
Dear Tom: I am a current subscriber. I would like to have more information on a few indicators you are using as I do not understand them yet very...

Home
Contact Us
About Us
Market Reports
Subscriptions
Products
Managed Accounts
The Oscillator
Learning Center
Oscillator Data
Special Reports
Links