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		<updated>2015-01-12T17:28:44Z</updated>

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		<updated>2014-03-04T21:51:28Z</updated>

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&lt;div&gt;The &#039;&#039;&#039;range expansion index&#039;&#039;&#039; (&#039;&#039;&#039;REI&#039;&#039;&#039;) is a [[technical indicator]] used in the [[technical analysis]] of [[financial market]]s. It is intended to chart the relative strength or weakness of a trading vehicle based on the comparison of the recent price changes and the overall price changes for the period.&lt;br /&gt;
&lt;br /&gt;
The REI can be classified as a momentum [[Oscillator (technical analysis)|oscillator]], measuring the velocity and magnitude of directional price movements. The REI shows overbought/oversold price conditions by measuring the relation between the sum of &amp;quot;strong&amp;quot; price changes (such that form a trend) and all price changes for the period.&lt;br /&gt;
&lt;br /&gt;
The REI is most typically used on a 8 day timeframe. It changes on a scale from −100 to +100, with the overbought and oversold levels marked at +60 and −60, respectively.&lt;br /&gt;
&lt;br /&gt;
The range expansion index was developed by [[Thomas DeMark]] and published in his 1994 book, &#039;&#039;The New Science of Technical Analysis&#039;&#039;.&amp;lt;ref&amp;gt;Thomas R. DeMark, &#039;&#039;The New Science of Technical Analysis&#039;&#039;, ISBN 0-471-03548-3&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Calculation==&lt;br /&gt;
Two sums are calculated for each day. One is the conditional sum of the &amp;quot;strong&amp;quot; price changes:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; S1 = \sum_{j=1}^{k} n_j m_j s_j&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the period of calculation (usually, 8), &amp;lt;math&amp;gt;n_j&amp;lt;/math&amp;gt; is a first condition:&lt;br /&gt;
&lt;br /&gt;
   &amp;lt;code&amp;gt;if ((High[j – 2] &amp;lt; Close[j - 7]) &amp;amp;&amp;amp; (High[j - 2] &amp;lt; Close[j - 8]) &amp;amp;&amp;amp; (High[j] &amp;lt; High[j - 5]) &amp;amp;&amp;amp; (High[j] &amp;lt; High[j - 6])) &amp;lt;math&amp;gt;n_j = 0&amp;lt;/math&amp;gt;&lt;br /&gt;
   else &amp;lt;math&amp;gt;n_j = 1&amp;lt;/math&amp;gt;&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;m_j&amp;lt;/math&amp;gt; is a second condition:&lt;br /&gt;
&lt;br /&gt;
   &amp;lt;code&amp;gt;if ((Low[j – 2] &amp;gt; Close[j – 7]) &amp;amp;&amp;amp; (Low[j – 2] &amp;gt; Close[j – 8]) &amp;amp;&amp;amp; (Low[j] &amp;gt; Low[j – 5]) &amp;amp;&amp;amp; (Low[j] &amp;gt; Low[j – 6])) &amp;lt;math&amp;gt;m_j = 0&amp;lt;/math&amp;gt;&lt;br /&gt;
   else &amp;lt;math&amp;gt;m_j = 1&amp;lt;/math&amp;gt;&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
and &amp;lt;math&amp;gt;s_j&amp;lt;/math&amp;gt; is the price change parameter:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; s_j = High[j] - High[j - 2] + Low[j] - Low[j - 2],\!&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The second sum is calculated as following:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; S2 = \sum_{j=1}^{k} |High[j] - High[j - 2]| + |Low[j] - Low[j - 2]|&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
For each trading day the value of the indicator is calculated:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; REI = \frac{S1}{S2} 100&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Interpretation==&lt;br /&gt;
According to [[Thomas DeMark]], price weakness is shown by the indicator when its value rises above level 60 and then declines below it. Price strength is shown when the REI goes below −60 and then rises above that level.&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
* [[Relative strength index]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
{{technical analysis}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Technical indicators]]&lt;/div&gt;</summary>
		<author><name>151.207.250.71</name></author>
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		<updated>2012-07-10T20:49:14Z</updated>

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