第三讲：MACD指标的应用
MACD是投机市场中应用较为广泛的一种技术指标，股市、汇市、期市都是该指标大显身手的领域。MACD的中文全称是平滑异同移动平均线，它是一项利用短期（常用为12日）移动平均线与长期（常用为26日）移动平均线之间的聚合与分离状况，对买进、卖出时机作出研判的技术指标。MACD通常由两部分构成，为了方便投资者直观的来理解，姑且将之称为曲线和柱状图。
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
上图中柱线与K线是一一对应的，每收出一根K线时就会产生一根新的柱线，同时曲线也发生移动，柱线与曲线通常不会相差很远，总是按同一个方向变化。MACD图形在一个狭长的区间内变化，中间贯穿着一条直线，称之为零轴。MACD的应用可以简单归纳为下面三种情况。
1.柱线的使用。当柱状图位于零轴上方时，表示市场短期做多动能占据一定优势，看涨的几率较大，位于零轴下方时，表示市场短期做空动能占据一定优势，下跌的几率较大。黄金/美元的日线图上得到印证，当图中的MACD在零轴上下不断切换，黄金价格呈现震荡态势，多空双方的力量也在不断的转换。
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