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class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><p>The <b>mass index</b> is an indicator, developed by Donald Dorsey, used in <a href="/wiki/Technical_analysis" title="Technical analysis">technical analysis</a> to predict trend reversals. It is based on the notion that there is a tendency for reversal when the price range widens, and therefore compares previous trading ranges (highs minus lows). </p><p>Mass index for a commodity is obtained by calculating its <a href="/wiki/Moving_average_(finance)#Exponential_moving_average" class="mw-redirect" title="Moving average (finance)">exponential moving average</a> over a 9-day period and the exponential moving average of this average (a "double" average), and summing the ratio of these two over a given number of days (usually 25). </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Mass=Sum[25]\;of\;{EMA[9]\;of\;(high-low) \over EMA[9]\,of\,EMA[9]\;of\;(high-low)}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>a</mi> <mi>s</mi> <mi>s</mi> <mo>=</mo> <mi>S</mi> <mi>u</mi> <mi>m</mi> <mo stretchy="false">[</mo> <mn>25</mn> <mo stretchy="false">]</mo> <mspace width="thickmathspace" /> <mi>o</mi> <mi>f</mi> <mspace width="thickmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>E</mi> <mi>M</mi> <mi>A</mi> <mo stretchy="false">[</mo> <mn>9</mn> <mo stretchy="false">]</mo> <mspace width="thickmathspace" /> <mi>o</mi> <mi>f</mi> <mspace width="thickmathspace" /> <mo stretchy="false">(</mo> <mi>h</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mo>−</mo> <mi>l</mi> <mi>o</mi> <mi>w</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>E</mi> <mi>M</mi> <mi>A</mi> <mo stretchy="false">[</mo> <mn>9</mn> <mo stretchy="false">]</mo> <mspace width="thinmathspace" /> <mi>o</mi> <mi>f</mi> <mspace width="thinmathspace" /> <mi>E</mi> <mi>M</mi> <mi>A</mi> <mo stretchy="false">[</mo> <mn>9</mn> <mo stretchy="false">]</mo> <mspace width="thickmathspace" /> <mi>o</mi> <mi>f</mi> <mspace width="thickmathspace" /> <mo stretchy="false">(</mo> <mi>h</mi> <mi>i</mi> <mi>g</mi> <mi>h</mi> <mo>−</mo> <mi>l</mi> <mi>o</mi> <mi>w</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Mass=Sum[25]\;of\;{EMA[9]\;of\;(high-low) \over EMA[9]\,of\,EMA[9]\;of\;(high-low)}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83bb4433603a5b6024fd56b65f0996a9e504a190" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:58.414ex; height:6.509ex;" alt="{\displaystyle Mass=Sum[25]\;of\;{EMA[9]\;of\;(high-low) \over EMA[9]\,of\,EMA[9]\;of\;(high-low)}}"></span></dd></dl> <p>Generally the EMA and the re-smoothed EMA of EMA are fairly close, making their ratio is roughly 1 and the sum around 25. </p><p>According to Dorsey, a so-called "reversal bulge" is a probable signal of trend reversal (regardless of the trend's direction). Such a bulge takes place when a 25-day mass index reaches 27.0 and then falls to below 26 (or 26.5). A 9-day prime moving average is usually used to determine whether the bulge is a buy or sell signal. </p><p>This formula uses intraday range values: not the "true range," which adjusts for full and partial gaps. Also, the "bulge" does not indicate direction. </p> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mass_index&action=edit&section=1" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><br /> </p> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol 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</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Charts</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Candlestick_chart" title="Candlestick chart">Candlestick</a></li> <li><a href="/wiki/Renko_chart" title="Renko chart">Renko</a></li> <li><a href="/wiki/Kagi_chart" title="Kagi chart">Kagi</a></li> <li><a href="/wiki/Line_chart" title="Line chart">Line</a></li> <li><a href="/wiki/Open-high-low-close_chart" title="Open-high-low-close chart">Open-high-low-close</a></li> <li><a href="/wiki/Point_and_figure_chart" title="Point and figure chart">Point and figure</a></li> <li><a href="/wiki/Line_break_chart" title="Line break chart">Line break</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Patterns</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chart_pattern" title="Chart pattern">Chart</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Broadening_top" title="Broadening top">Broadening top</a></li> <li><a href="/wiki/Cup_and_handle" title="Cup and handle">Cup and handle</a></li> <li><a href="/wiki/Double_top_and_double_bottom" title="Double top and double bottom">Double top and double bottom</a></li> <li><a href="/wiki/Flag_and_pennant_patterns" title="Flag and pennant patterns">Flag and pennant</a></li> <li><a href="/wiki/Gap_(chart_pattern)" title="Gap (chart pattern)">Gap</a></li> <li><a href="/wiki/Head_and_shoulders_(chart_pattern)" title="Head and shoulders (chart pattern)">Head and shoulders</a></li> <li><a href="/wiki/Island_reversal" title="Island reversal">Island reversal</a></li> <li><a href="/wiki/Price_channels" title="Price channels">Price channels</a></li> <li><a href="/wiki/Triangle_(chart_pattern)" title="Triangle (chart pattern)">Triangle</a></li> <li><a href="/wiki/Triple_top_and_triple_bottom" title="Triple top and triple bottom">Triple top and triple bottom</a></li> <li><a href="/wiki/Wedge_pattern" title="Wedge pattern">Wedge pattern</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Candlestick_pattern" title="Candlestick pattern">Candlestick</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Candlestick_pattern#Simple_patterns" title="Candlestick pattern">Simple</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Doji" title="Doji">Doji</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Candlestick_pattern#Complex_patterns" title="Candlestick pattern">Complex</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Hikkake_pattern" title="Hikkake pattern">Hikkake pattern</a></li> <li><a href="/wiki/Morning_star_(candlestick_pattern)" title="Morning star (candlestick pattern)">Morning star</a></li> <li><a href="/wiki/Three_black_crows" title="Three black crows">Three black crows</a></li> <li><a href="/wiki/Three_white_soldiers" title="Three white soldiers">Three white soldiers</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Point_and_figure_chart" title="Point and figure chart">Point and figure</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bull_trap" title="Bull trap">Bull trap</a></li> <li><a href="/wiki/Bear_market" class="mw-redirect" title="Bear market">Bear trap</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Technical_indicator" title="Technical indicator">Indicators</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Support_and_resistance" title="Support and resistance">Support &<br />resistance</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Fibonacci_retracement" title="Fibonacci retracement">Fibonacci retracement</a></li> <li><a href="/wiki/Pivot_point_(technical_analysis)" title="Pivot point (technical analysis)">Pivot point</a> (PP)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Market_trend" title="Market trend">Trend</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Average_directional_movement_index" title="Average directional movement index">Average directional index</a> (A.D.X.)</li> <li><a href="/wiki/Commodity_channel_index" title="Commodity channel index">Commodity channel index</a> (CCI)</li> <li><a href="/wiki/Detrended_price_oscillator" title="Detrended price oscillator">Detrended price oscillator</a> (DPO)</li> <li><a href="/wiki/KST_oscillator" title="KST oscillator">Know sure thing oscillator</a> (KST)</li> <li><a href="/wiki/Ichimoku_Kink%C5%8D_Hy%C5%8D" title="Ichimoku Kinkō Hyō">Ichimoku Kinkō Hyō</a></li> <li><a href="/wiki/MACD" title="MACD">Moving average convergence/divergence</a> (MACD)</li> <li><a class="mw-selflink selflink">Mass index</a></li> <li><a href="/wiki/Moving_average" title="Moving average">Moving average</a> (MA)</li> <li><a href="/wiki/Parabolic_SAR" title="Parabolic SAR">Parabolic SAR</a> (SAR)</li> <li><a href="/wiki/Smart_money_index" title="Smart money index">Smart money index</a> (SMI)</li> <li><a href="/wiki/Trend_line_(technical_analysis)" title="Trend line (technical analysis)">Trend line</a></li> <li><a href="/wiki/Trix_(technical_analysis)" title="Trix (technical analysis)">Trix</a></li> <li><a href="/wiki/Vortex_indicator" title="Vortex indicator">Vortex indicator</a> (VI)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Momentum_(finance)" title="Momentum (finance)">Momentum</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Money_flow_index" title="Money flow index">Money flow index</a> (MFI)</li> <li><a href="/wiki/Relative_strength_index" title="Relative strength index">Relative strength index</a> (RSI)</li> <li><a href="/wiki/Stochastic_oscillator" title="Stochastic oscillator">Stochastic oscillator</a></li> <li><a href="/wiki/True_strength_index" title="True strength index">True strength index</a> (TSI)</li> <li><a href="/wiki/Ultimate_oscillator" title="Ultimate oscillator">Ultimate oscillator</a></li> <li><a href="/wiki/Williams_%25R" title="Williams %R">Williams %R</a> (%R)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Volume_(finance)" title="Volume (finance)">Volume</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Accumulation/distribution_index" title="Accumulation/distribution index">Accumulation/distribution line</a></li> <li><a href="/wiki/Ease_of_movement" title="Ease of movement">Ease of movement</a> (EMV)</li> <li><a href="/wiki/Force_index" title="Force index">Force index</a> (FI)</li> <li><a href="/wiki/Negative_volume_index" title="Negative volume index">Negative volume index</a> (NVI)</li> <li><a href="/wiki/On-balance_volume" title="On-balance volume">On-balance volume</a> (OBV)</li> <li><a href="/wiki/Put/call_ratio" title="Put/call ratio">Put/call ratio</a> (PCR)</li> <li><a href="/wiki/Volume%E2%80%93price_trend" title="Volume–price trend">Volume–price trend</a> (VPT)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Volatility_(finance)" title="Volatility (finance)">Volatility</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Average_true_range" title="Average true range">Average true range</a> (ATR)</li> <li><a href="/wiki/Bollinger_Bands" title="Bollinger Bands">Bollinger Bands</a> (BB)</li> <li><a href="/wiki/Donchian_channel" title="Donchian channel">Donchian channel</a></li> <li><a href="/wiki/Keltner_channel" title="Keltner channel">Keltner channel</a></li> <li><a href="/wiki/VIX" title="VIX">CBOE Market Volatility Index</a> (VIX)</li> <li><a href="/wiki/Standard_deviation" title="Standard deviation">Standard deviation</a> (σ)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Breadth_of_market" title="Breadth of market">Breadth</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Advance%E2%80%93decline_line" title="Advance–decline line">Advance–decline line</a> (ADL)</li> <li><a href="/wiki/TRIN_(finance)" title="TRIN (finance)">Arms index</a> (TRIN)</li> <li><a href="/wiki/McClellan_oscillator" title="McClellan oscillator">McClellan oscillator</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Coppock_curve" title="Coppock curve">Coppock curve</a></li> <li><a href="/wiki/Ulcer_index" title="Ulcer index">Ulcer index</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Analysts</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/John_Bollinger" title="John Bollinger">John Bollinger</a></li> <li><a href="/wiki/Ned_Davis_(analyst)" title="Ned Davis (analyst)">Ned Davis</a></li> <li><a href="/wiki/Charles_Dow" title="Charles Dow">Charles Dow</a></li> <li><a href="/wiki/Ralph_Nelson_Elliott" title="Ralph Nelson Elliott">Ralph Nelson Elliott</a></li> <li><a href="/wiki/Robert_Farrell_(technical_analyst)" class="mw-redirect" title="Robert Farrell (technical analyst)">Bob Farrell</a></li> <li><a href="/wiki/John_Murphy_(technical_analyst)" title="John Murphy (technical analyst)">John Murphy</a></li> <li><a href="/wiki/Mark_Hulbert" title="Mark Hulbert">Mark Hulbert</a></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Mass_index&oldid=1236765856">https://en.wikipedia.org/w/index.php?title=Mass_index&oldid=1236765856</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" 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