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趋向指标DMI计算及详解

作者:高考题库网
来源:https://www.bjmy2z.cn/gaokao
2021-02-06 04:14
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2021年2月6日发(作者:批改)


DMI


技术指标的计算方法



DMI(Directional Movement Index)


指标,中文名称为趋向指标,



由技术分析大师威尔斯




威尔




(J?Wells?Wilder ?Jr.)


发明,被认为是最有成就、



最实用的一套技术分析工具。



本指标最大



的特点

< br>是它能准确地告诉我们行情是否启动。在技术分析领域中,很多技术指标必须搭配



DMI


指标来研判某只股票的涨跌。本指标的基本原理为,寻求 股票价格涨跌、买卖双方力量



的均衡点


(Iquilibrium Point)

< p>
,


及价格在双方互动下波动循环的过程。



DMI


指标是由四条线来组成一幅美丽的图表。这四条线分别为



(


下降动向线


)< /p>



ADX


(


方向 线


)



ADXR


(


评估线


)




DMI


公式原理:



计算


DMI


第一项工作,便是确认其基本的动向变动 值



来表示涨与跌动向变动值。



动向变动值为当日价格波动幅度大于前一日价格的部分最大值。也就是说,动向变动值



已能表示


出价格波动的涨跌幅度。



1


.


零动向


(Zero Directional Movement)


经过计算


+D M



-DM


的值均为零。发生这种现象 的情况有两种:



a.


移日


(


Inside Day)


当日最高价小于或等于前一交易日最高价,当日最低价大于或等于前一交易日的最低



价,即为移


日,这时


+DM



-DM


值为零。



b.


买卖双方均衡日



当日最高价大于前一交易日最高价,其差的绝对值正好等于当日最低价与前一交易日最< /p>



低价差额绝对值,这时买卖双方处于均衡之势,



2.


上升动向


+DM


如果当日最高价比前一交易日最高价更高,且当日最低价大于前一交易日最低价,则出



现上升现


象,动向值等于当日最高价与前一交易日最 高价的差颁绝对值。



3


.


下跌动向


-DM

< br>如果当日最低价比前一交易日最低价更低,且当日最高价小于前一交易日最高价,则出


现下降动




值,此值等于当日最低价与前一交易日最低价的差额绝对值。



4.


如果当日最高价大于或等于前一交易日最高价,而且当日最 低价小于前一交易日最



低价,若前者差额绝对值大于后者差额 绝对值时,取前者差额绝对值



对值小于后者差额绝对值时,取后者差额绝对值为



第一项工作完成后,我们还要找出真正的波幅



作。



真正波幅


(


TR),


是当日价格与前一交易日收盘价格比较之后的最大 变动值。



计算方式:



(1)



日收盘价

< br>-


当日最低价



(2)



日最高价


-


前一交 易日收盘价



(3)



日最低价


-


前一交易日收盘价



1



2



3


种计算结果,三者差额绝对值最大者,即为当日的真正波幅< /p>



第一项工作完成了动向变动值



(DM),


第二项工作完成了真正波幅



成的是动向指数线



(Directional Indicator)





+DI


(


上升动向线


)



-


DI

< br>


(DM)


是上涨还是下跌。


+ DM



-DM



+DM



-DM


值为零。

< p>


+DM ;


若前者差额绝



-DM




(True Ram),


这是我们要完成的第二项工



(TRN


直。



(TR),


第三项工作要完



动向线


(


DI)


为检测 价格上涨或下跌的指标


,



来表小


O



上升或下跌动向线的计算方法如下:



+DI = +DM /TR


-DI = -DM / TR


上升动向线以



+DI


来母,下跌动向线用


-DI < /p>


要使动向线具有参考价值,必须进行一定时期的累计运算,威尔德认为最适当的周期是



14


天,笔者则认为在中国大陆股市中其 最具有使用价值的周期为



计算方法如下:



分别将


7


天的


+DM


< p>
-DM



TR


平均,所得 到的数值分别为




7


天的上升或下跌动向指数线的计算方法如下:



+D17 = +DM7 /TR7


-D17 = -DM7 / TR7





7


天。



+DM7



-DM7




TR7


。因



需要说明的是负的动向变动值并不是负数,负号仅代表下跌方


计算出正负动向指标



向,



(DI


)


的数值后,由于其数值永远介于



0



100


之间,因 此为了方便图表的绘制,



7


天上升动



向线


(+DI7


)


表示最近

< p>
7


天以来实际上涨力量的百分比,




7


天下跌动向线


(-D1 7)


表示最近


7


天以来下跌力


量的百分比。



如果股票价格持续下跌,



那么负动向变动值不断出现,



盘整时,上升与下跌动向线差异则非常小。



当上述情况出现时,就要借助动向平均线


动向值


(


DX)


计算方式为:



DX = DI



-DI




DI



=


+DI-(-DI)


DI



=


+DI+(-D1)


七天周期动向值的计算公式为:



DX7 = DI7



-DI7




D17



=


+DI7-(-DI7)


D17



=


+DI7+(-DI7)


由于动向值的变动性大,因此以



7


作为平滑计算,即可算出



ADX



ADXR


评比线的值:



(ADX


)


来研判。



将使下跌动向线的数值不断出现,



下 跌动向线的数值不断升高。若价格持续上涨,则上述情况的相反导向即将出现于图形上。



当股价在


ADX =


(


昨日动向平均值


+


今日动向值


)


/7



ADX


值算出后,方向就明显了,最后,我们将要计算



ADXR=


(


今日动向平均值



ADX+7


日前动向平均值



ADX)/2


DMI


技术指标的计算方法



DMI


指标的计算方法和过程比较复杂,



它涉及到


DM



T R



DX


等几个计算指标和

< p>
+DI


(




PDI,


下同


)


、一< /p>


DI


(



MDI ,


下同


)



aDX


aDXR



4

< br>个研判指标的运算。



■计算的基本程序■



以计算日


DMI


指标为例,其运算的基本程序主要为:



1




按一定的大数将



DX


累加后平均,求得



n


日的平均动向值


aDX




2




再通过当日的



aDX


与前面某一日的


aDX


相比较,计算出



aDX


的评估数值


aDXR




3




通过< /p>


n


的上升指标


+DI

和下降指标一


DI


之间的差和之比,计算出每日的动向值< /p>





4





n


的上升动向值和下降动向值分别除以


< /p>



+DI


和下降指标—

< br>DI




5




按一定 的规则比较每日股价波动产生的最高价、最低价和收盘价,计算出每日股价



的波动的真实波幅



TR



+DI



-DI,


在运算基准日基础上按一定的大数将其累加,以求



n





TR



+DM



DM


值。



■计算的具体过程■



【一】计算当日动向值



动向指数的当日动向值分为上升动向、



值只能是三种情况的一种。



a




上升动向(


+DM




+DM


代 表正趋向变动值即上升动向值,



其数值等于当日的最高价减去前一日的最低价。



上升动向值必须大于当日最低价减去前一日最低价的绝对值,否则



b




下降动 向(一


DM





DM


代表负趋向变动值即下降动向值,其数值等于当日的最 低价减去前一日的最低



价。下降动向值必须大于当日的最高价 减去前一日最低价的绝对值,否则—



c





动向



无动向代表当日动向值为



零”的情况 ,即当日的


+DM


和一


DM

< p>
同时等于零。有两种股



DM=0




+DM=0




下降动向和无动向等三种情况,



每日的当日动向



n


日的真实波幅值,从而求出



n


日的上升




DX


价波动情况下可能出现无动向。



一是当当日的最高价低于前一日的最高价并且当日的最低价


< /p>


高于前


一日的最低价,二是当上升动向值正好等于下降动向值。< /p>



【二】计算真实波幅(


TR

< p>



TR


代表真实波幅, 是当日价格较前一日价格的最大变动值。取以下三项差额的数值中



的最大值(取绝对值)为当日的真实波幅:



当日的最高价减去前一日的收盘价的价差。


< br>TR



a


b



c


中的数值最大者

< p>


a


、当日的最高价减去当日的最低价的价差。< /p>



c


、当日的最低价减去前一日的收盘价 的价差。



b




【四】计算方向线



DI



方向线


DI


是衡量股价上涨或下跌的指标,分为



上升指标”和下降指标”。在有的股市



分析软


件上,


+DI


代表上升方向线 ,



DI


代表下降方向线。其计算方法 如下:


+DI= (DM ^TR) X100



DI= (-


DM



R) X100;


要使方向线具有参考



价值


,


则必须运用平滑移动平均的原



理对其进行累积运算。



< p>
12


日作为计算



周期为 例


,


先将


12


日的


+DM




DM



TR


平均化,



所得数值分别为



+DM12 , -


DM12



TR12,


具体如下


+DI (12) = (+DM12



R12) X100



DI (12) = (- DM12 HR12) X100;


随后


计算第



13


天的



+DI12



- DI12




TR12


时,只



要利用平滑移动平均



公式运算即可。 例如


:


当日的



TR12=11/12


颈一日


TR1 2+


当日


TR




升或下跌方向线的数值永远介于



0



100


之间。


【五】计算动向平均数



aDX



依据


DI


值可以计算出


DX


指标值。其计算 方法是将



+DI


和一


DI


间的差的绝对值除以总



和的百


分比得到动向指数


< p>
DX


。由于


DX


的波动幅 度比较大,一般以一定的周期的平滑计算,



DI suM


为上升指标和下降指标的总和;



aDX


就是


DX



得到平均动向指标



aDX


。具体过程如下:



DX= (DI DIf PI suM ) X100


。其中,


DI DIf


为上



升指标和


下降指标的价差的绝对值。



的一定周期


n


的移动平均值。



【六】计算评估数值



aDXR




DMI


指标中还可以添加



aDXR< /p>


指标,以便更有利于行情的研判。


aDXR


的计算公式为:



aDXR=


(


当日的


aDX +


前一日的


aDX) ^2


。和其他指标的计算一样,由于选用的计算周期



的不同,


DMI


指标也包括日

< br>


DMI


指标、周


DMI


指标、月


DMI


指标年


DMI


指标以及分钟



DMI


指标等各种类


型。经常被用于股市研判的是日



DMI


指标和周


DMI

< p>
指标。虽然它们的计算时



随着股市软件分析技术的发展,



投资者只



DMI



的取值有所不同,但基本的计算方法一样。另外,


< p>
需掌握


DMI


形成的基本原理和计算方法,无须去 计算指标的数值,更为重要的是利用



指标去分析、研判股票行情。



dmi


指标原理和计算方法



一、


dmi


指标的原理



dmi


指标是通过分析股票价格在涨跌过程中买卖双方力量均衡 点的变化情况


,


方的力量的变化受价格波动的影响而发生由均 衡到失衡的循环过程,



据的一种技术指标




dmi


指标的基本原理是在于寻找股票价格涨跌过程中,



股价藉以创新高价或新低价的功



在大



即多空双



从而提供对趋势判断依



能,研判多空 力量,进而寻求买卖双方的均衡点及股价在双方互动下波动的循环过程。



多数指标中,绝大部分都是以每一日的收盘价的



走势及涨跌幅的累计数来计算出不同的分析


< br>数据,


其不足之处在于忽略了每一日的高低之间的波动幅度。


比如某个股票的两日收盘价可



能是一样的,但其中一天上下波动的幅度不大,而另一大股价的震幅却在



10%


以上,那么这



dmi




两 日的行情走势的分析意义决然不同,这点在其他大多数指标中很难表现出来。而



标则是把每日的高低波动的幅度因素计算在,



从而更加准确的反应行情的走势及更好的预测



行情未来的发展变化。



二、


dmi


指标的计算方法



dmi


指标的计算方法和过程比较复杂,它涉及到



dm



tr



dx


等几个计算指标和


+di


(




pdi


,下



)


、一


di


(



m di


,下同


)



adx



adxr



4


个研判指标的运算。



1




计算的基本程序



以计算日

< p>
dmi


指标为例,其运算的基本程序主要为:



(1)


按一定的规则比较每日股价波动产生的最高价、最低价 和收盘价,计算出每日股



价的波动


的 真实波幅


tr



+di




di


,在运算基准日基础上按一定的大数将其累加,以求



n


日的


tr



+dm



dm


值。



(2)


< br>升指标


+di


和下降指标—


di






n


的上升动向值和下降动向值分别除以


n< /p>


日的真实波幅值,从而求出



n


日的上



(3)



通过


n


的上升指标


+di


和下降指标一< /p>


di


之间的差和之比,计算出每日的动向值



dx




(4)



按一定的大数将



dx


累加后平均,求得



n


日的平均动向值



adx




(5)


再通过当日的


adx


与前面某一日的



adx


相比较,计算出



adx


的评估数值


adxr




2




计算的具体过程



(1)



算当日动向值



动向指数的当日动向值分为上升动向、



下降动向和无动向等三种情况,



每日的当日动向



值只能是三种情况的一种。



a




上升动向


(


+dm )


+dm


代表正趋向变动值即上升动向值,



其数值等于当日的最高价减去前一日的最低价。



上升动向值必须大于当日最低价减去前一日最低价的绝对值,否则



+dm=0




b




下降动 向


(



dm)




dm


代表负趋向变动值即下降动向值 ,



其数值等于当日的最低价减去前一日的最低价。



下降动向值必须大于当日的最高价减去前一日最低价的绝对值,否则一



dm=0




c


、无动向



无动向代表当日动向值为“零”的情况,即当日的


+dm


和一< /p>


dm


同时等于零。有两种股价



波动


情况下可能出现无动向。



一是当当日的最高价低于前一日的最高价并且当日的最低价高



于前一日的


最低价,二是当上升动向值正好等于下降动向值。< /p>



(2)


计算真实波幅


(


tr)


tr


代表真实波幅,是当日价格较前一日价格的最大变动值。



最大值


(


取绝对值


)


为当日的真实波幅:



a





日的最高价减去当日的最低价的价差。



b





日的最高价减去前一日的收盘价的价差。



c





日的最低价减去前一日的收盘价的价差。



取以下三项差额的数值中的



tr



a



b



c


中的数值最大者



(3)


计算方向线


di

< p>
方向线


di


是衡量股价上涨或下跌的指标,分为“ 上升指标”和“下降指标”。在有的



股市分




软 件上,


+di


代表上升方向线,—


di


代表下降方向线。其计算方法如下:



+di= (dm -Hr) X100



di= (



dm -Hr) X100


要使 方向线具有参考价值,则必须运用平滑移动平均的原理对其进行累积运算。以



12



日作为计算周期为例,先将



12


日的


+dm



—< /p>


dm



tr


平 均化,所得数值分别为



+dm12 ,




dm12



tr12 ,


具体如下:



+di (12) = (+dm12 +tr12) X100



di (12) = (- dm12 +tr12) X100


随后计算第


1 3


天的


+di12


、—



di12



tr12


时,只要利用平滑移动平均公式运算即可。



例如


:


当日的


tr12=11/12


+


前一日


tr12


+


当日


tr


上升或下跌方向线的数值永远介于



0



100


之间。



(4)


计算动向平均数



adx


依据


di

值可以计算出


dx


指标值。其计算方法是将



+di


和一


di

< p>
间的差的绝对值除以总和



的百分


比得到动向指数



dx


。由于


dx


的波动幅度 比较大,一般以一定的周期的平滑计算,得



到平均动向指标



adx


。具体过程如下:



dx=(didif Fisum) x 100


其中,


didif


为上升指标和下降指标的价差的绝对值

< br>


disum


为上升指标和下降指标的总和



adx


就是


dx


的一定周期


n


的移动平均值。

< br>


(5)


计算评估数值


adxr


< p>
dmi


指标中还可以添加



adxr


指标,以便更有利于行情的研判。



adxr


的计算公式为:


< p>
adxr=


(


当日的



adx +


前一日的



adx) +2


和其他指标的计算一样,



由于选用的计算周期的不同,



dmi


指标也包括日


dmi


指标、周



dmi


指标、月


dm i


指标年


dmi


指标以及分钟


dmi


指标等各种类型。经常被用于股市研判的



是日


dmi



标和周


dmi


指标。虽然它们的计算时的取值有所不同,



另外,随着股市软件分析技术的发展,



但基本的计算方法一样。



投资者只需 掌握


dmi


形成的基本原理和计算方法,



dmi


指标去分析、研判股票行情。




无须去计算指标的数值,更为重要的是利用



Directional Movement Index (DMI)



Description


The Directional Movement Index (also known as DMI) is a momentum indicator that


was developed by J. Welles Wilder. It is calculated using the price, compares the


current price with the previous price range, and displays the result as an upward


movement line (+DI), and a downward movement line (-DI), between 0 and 100.


The DMI also calculates the strength of the upward or downward movement, and


displays the result as a trend strength line (ADX).


The DMI is displayed on its own chart, separate from the price bars, and is the


lower section in the chart shown above.


Calculation


Description: The DMI is the ratio of exponential moving averages of the greater of the


upward (U) and downward (D) price movements, and the true range (TR).


Calculation:


U = Hn - Hn-1 D = Ln-1 - Ln TR = (Hn - Ln) | (Hn - Cn-1) | (Cn-1 - Ln) EMAUP = EMAUn-1 + ((2 / (n


+


1))


*


(Un


-


EMAUn-1))


EMADOWN


=


EMADn-1


+


((2


/


(n


+


1))


*


(Dn


-


EMADn-1))


EMATR


=


EMATRn-1 + ((2 / (n + 1)) * (TRn - EMATRn-1)) +DI = EMAUP / EMATR -DI = EMADOWN / EMATR


DX = ABS(+DI - -DI) / (+DI + -DI)


ADX = EMADXn-1 + ((2 / (n + 1)) * (DXn - EMADXn-1))


Trading Use


The Directional Movement Index can be used in


both ranging and trending markets. In general, when the +DI line is above the -DI


line, the market is moving upwards, and when the -DI line is above the +DI line, the


market is moving downwards. The ADX line shows the strength of the move, and


the market is considered to be trending when the ADX line is above 30, and ranging


when the ADX line is below 30. There are several trading systems that use the DMI,


so there are several alternative uses of both the DI lines, and the ADX line.


(ranging and trending markets


Definition:


Day trading markets are referred to as either ranging or trending depending upon the


type of price movement that is currently occurring. The descriptions of these types of


markets are as follows :


Ranging


A ranging market is a market where the price is moving back and forth between a higher


price and a lower price. The higher price would be acting as resistance because it


prevents the price from moving above it, and the lower price would be acting as support


because it prevents the price from moving below it.


The price range of a ranging market can be small or large, and if the range is very small


the market would be considered to be in chop (moving sideways with very little upward or


downward movement).


Trending


A trending market is a market where the price is moving in a single direction, either up or


down, but not sideways.


There may be several small price reversals, but nothing large enough to prevent the


price movement from continuing in its original direction. A day trading trend may last for a


few minutes or a few hours, and longer term trends


may last for several weeks or


months.


)


DMI Points The Way To Profits


By Candy Schaap


A


A


A


|


The primary objective of the trend trader is to enter a trade in the direction of


the trend . Reading directional signals from price alone can be difficult and is


often misleading because price normally swings in both directions and changes


character between periods of low versus high volatility.


The directional movement indicator (also known as the directional movement


index - DMI) is a valuable tool for assessing price direction and strength. This


indicator was created in 1978 by J. Welles Wilder, who also created the popular


relative strength index . DMI tells you when to be long or short. It is especially


useful for trend trading strategies because it differentiates between strong and


weak trends, allowing the trader to enter only the strongest trends. DMI works


on all time frames and can be applied to any underlying vehicle (stocks, mutual


funds, exchange-traded funds , futures, commodities and currencies). Here,


we'll cover the DMI indicator in detail and show you what information it can


reveal to help you achieve better profits. (For background reading, see


Momentum And The Relative Strength Index


.)


DMI Characteristics


DMI is a moving average of range expansion over a given period (default 14).


The positive directional movement indicator (+DMI) measures how strongly


price moves upward; the negative directional movement indicator (-DMI)


measures how strongly price moves downward. The two lines reflect the


respective strength of the bulls versus the bears. Each DMI is represented by a


separate line (Figure 1). First, look to see which of the two DMI lines is on top.


Some short-term traders refer to this as the


dominant


DMI. The dominant DMI


is stronger and more likely to predict the direction of price. For the buyers and


sellers to change dominance, the lines must cross over.


A crossover occurs when the DMI on bottom crosses up through the dominant


DMI on top. Crossovers may seem like an obvious signal to go long/short, but


many short-term traders will wait for other indicators to confirm the entry or exit


signals to increase their chances of making a profitable trade. Crossovers of


the DMI lines are often unreliable because they frequently give false signals


when volatility is low and late signals when volatility is high. Think of crossovers


as the first indication of a


potential


change in direction. (For more insight, read


the


Moving Averages


tutorial.)




Source: TDAmeritrade Strategy Desk


Figure 1: The +DMI and -DMI are shown as separate lines. There are several false


crossovers ( Point 1) and one crossover at Point 2 that leads to an uptrend with


+DMI dominant. Note:The calculations for DMI are complicated and are referenced


elsewhere. Also, DMI is normally plotted in the same window with the ADX indicator,


which is not shown.



DMI is used to confirm price action (see Figure 2). The +DMI generally moves


in sync with price, which means that the +DMI rises when price rises, and it falls


when price falls. It is important to note that the -DMI behaves in the opposite


manner and moves counter-directional to price. The -DMI rises when price falls,


and it falls when price rises. This takes a little getting used to. Just remember


that the strength of a price move up or down is always recorded by a peak in


the respective DMI line.


Reading directional signals is easy. When the +DMI is dominant and rising,


price direction is up. When the -DMI is dominant and rising, price direction is


down. But the strength of price must also be considered. DMI strength ranges


from a low of 0 to a high of 100. The higher the DMI value, the stronger the


prices swing. DMI values over 25 mean price is directionally strong. DMI values


under 25 mean price is directionally weak.


Source: TDAmeritrade Strategy Desk


Figure 2: DMI is weak at Point 1 and price is choppy. The +DMI rises strongly above


25 at Point 2 and the uptrend follows. Note how +DMI moves with price at Point 3


and -DMI moves counter-directional to price at Point 4.



DMI Momentum


The great feature of DMI is the ability to see buying and selling pressure at the


same time, allowing the dominant force to be determined before entering a


trade. The strength of a swing high (bulls) is reflected in the +DMI peak, and the


strength of a swing low (bears) is seen in the -DMI peaks. The relative strength


of the DMI peaks tells the momentum of price and provides timely signals for


trading decisions. When the buyers are stronger than the sellers, the +DMI


peaks will be above 25 and the -DMI peaks will be below 25. This is seen in a


strong uptrend. But when the sellers are stronger than the buyers, the -DMI


peaks will be above 25 and the +DMI peaks will be below 25. In this case, the


trend will be down.


The ability of price to trend depends on continued strength in the dominant


DMI. A strong uptrend will show a series of rising +DMI peaks that remain


above the -DMI for extended periods of time (Figure 3). The opposite is true for


strong downtrends. When both DMI lines are below 25 and moving sideways,


there is no dominant force and trend trades are not appropriate. However, the


best trends begin after long periods where the DMI lines cross back and forth


under the 25 level. A low risk trade setup will occur after DMI expands above


the 25 level and price penetrates support/resistance.


Source: TDAmeritrade Strategy Desk


Figure 3: The +DMI crosses above 25 at Point 1 and remains above



the -DMI as the uptrend develops. Note the absence of any


crossover by -DMI during the uptrend. Here, the buyers are strong


(+DMI >25) and the sellers are weak (-DMI <25).


DMI Confirmation


DMI lines pivot, or change direction, when price changes direction. An


important concept of DMI pivots is they must correlate with structural pivots in


price. When price makes a pivot high, the +DMI will make a pivot high. When


price makes a pivot low, the -DMI will make a pivot high


(remember -DMI moves counter-directional to price).


The correlation between DMI pivots and price pivots is important for reading


price momentum. Many short-term traders watch for the price and the indicator


to move together in the same direction or times they diverge . One method of


confirming an asset's uptrend is to find scenarios when price makes a new pivot


high and the +DMI makes a new high. Conversely, a new pivot low combined


with a new high on the -DMI is used to confirm a downtrend. This is generally a


signal to trade in the direction of the trend or a trend breakout


Divergence, on the other hand is when the DMI and price


disagree


, or do not


confirm one another. An example is when price makes a new high, but the


+DMI makes a lower high. Divergence is generally a warning to manage risk


because it signals a change of swing strength and commonly precedes a


retracement or reversal. (For more on this topic, read


Divergences,


Momentum And Rate Of Change


.)


Source: TDAmeritrade Strategy Desk


Figure 4: This is an example of when the price and



indicator agree (Point 1), where price makes a new high


and +DMI makes a new high, signaling a long entry.


There is also an example of divergence (Point 2), where price makes a


new high and the +DMI makes a lower high; the result is a trend


retracement at Point 3.


DMI Contractions and Expansions


The DMI lines are a good reference for price volatility . Price goes through


repeated cycles of volatility in which a trend enters a period of consolidation


and then consolidation enters a period of trend. When price enters


consolidation, the volatility decreases. Buying pressure (demand) and selling


pressure (supply) are relatively equal, so the buyers and sellers generally agree


on the value of the asset. Once price has contracted into a narrow range, it will


expand as the buyers and sellers no longer agree on price. Supply and demand


is no longer in balance and consolidation changes to trend when price breaks


below support into a downtrend or above resistance into an uptrend. Volatility


increases as price searches for a new agreed value level.


Volatility cycles can be identified by comparing the slopes of the DMI lines that


move in opposite directions whenever range expansion or contraction occurs


(Figure 4). Many short-term traders will look for periods when the DMI lines


move away from one another and volatility increases. The farther the lines


separate, the stronger the volatility. Contractions occur when the

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