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The exponential moving average (EMA) is a weighted moving average (MA) that gives greater weight and importance to the latest data points. The exponential moving average is also called the exponentially weighted moving average.
The exponential moving average (EMA) is a weighted moving average (MA) that gives greater weight and importance to the latest data points. The exponential moving average is also called the exponentially weighted moving average. The EMA reacts more significantly to recent price changes than the simple moving average (SMA), which gives equal weight to all observations during the period.
Although there are many possibilities for the choice of smoothing factor, the most common choices are:
This gives greater weight to the latest observations. If the smoothing factor increases, the influence of recent observations on the EMA will also increase.
Calculating EMA requires one more observation than SMA. Suppose you want to use 20 days as the number of days to observe the EMA. Well, you have to wait until day 20 to get the SMA. On day 21, you can use the previous day's SMA as yesterday's first EMA.
The calculation of SMA is relatively simple. It is simply the sum of the stock's closing prices during that time period divided by the number of observations during that period. For example, the 20-day SMA is the sum of the closing prices of the past 20 trading days divided by 20.
Next, you need to calculate the multiplier for the smoothed (weighted) EMA, usually calculated according to the formula: [2 ÷ (number of observations + 1)]. For the 20-day moving average, the multiplier is [2/(20+1)]= 0.0952.
Finally, use the following formula to calculate the current EMA:
EMA gives higher weight to recent prices, while SMA gives equal weight to all values. For the short-term EMA, the latest price is weighted more than the long-term EMA. For example, for the 10-period EMA, the multiplier for the latest price data is 18.18%, while for the 20-period EMA, the weight is only 9.52%.
There is also a slight variation in the EMA calculated using the open, high, low or median price instead of the closing price.
The 12-day and 26-day exponential moving averages (EMA) are often the short-term averages that are cited and analyzed. The 12-day and 26-day EMA are used to create indicators such as the Moving Average Convergence Divergence (MACD) and the Percent Price Oscillator (PPO). Generally speaking, the 50-day and 200-day EMA are used as indicators of long-term trends. When a stock's price crosses its 200-day moving average, it is often viewed as a technical signal of a price reversal.
Traders who use technical analysis find moving averages to be very useful and insightful when applied correctly. However, they also realize that these signals can cause confusion if used incorrectly or misinterpreted. All moving averages commonly used in technical analysis are lagging indicators.
Therefore, conclusions based on the application of moving averages to a specific market chart should be aimed at confirming market movements or indicating their strength. Often, the best time to enter the market has been missed before the moving average shows that the trend has changed.
EMA alleviates the negative impact of lag to a certain extent. Because the EMA calculation gives more weight to the latest data, it "fits" the price action more closely and reacts more quickly. This is especially important when using EMA to generate trade entry signals.
Like all moving average indicators, EMA is more suitable for trending markets. When the market is in a strong and sustained uptrend, the EMA indicator line will also show an uptrend and vice versa. An alert trader will focus on the direction of the EMA line and its rate of change from one bar to the next. For example, let's say price action in a strong uptrend begins to flatten out and reverses. From an opportunity cost perspective, it may be time to switch to a more bullish investment.
EMA is often used in conjunction with other indicators to identify important market changes and evaluate their effectiveness. EMA is more suitable for traders who trade intraday and in fast-moving markets. Traders often use EMA to determine trade bias. If the EMA on the daily chart shows a strong uptrend, the day trader's strategy may be to trade only in the bull direction.
The main difference between EMA and SMA is their sensitivity to changes in the data used in the calculation.
Specifically, EMA gives higher weight to recent prices, while SMA gives equal weight to all values. These two moving averages are similar in that they are interpreted in the same way and are commonly used by technical traders to smooth price movements.
Because EMAs weight more recent data than older data, they react more quickly to the latest price changes than SMAs. This makes EMA results more timely and explains why many traders prefer to use EMA.
It is not clear whether more emphasis should be given to the latest days in the time period. Many traders believe that the new data better reflects the security's current trends. At the same time, some believe that focusing too much on recent data can lead to bias, leading to more false positives.
Again, EMA relies entirely on historical data. Many economists believe that markets are efficient, meaning that current market prices already reflect all available information. If markets are indeed efficient, then using historical data should provide no guidance on the direction of future asset prices.
Long-term EMAs such as the 50-day and 200-day are more likely to be used by long-term investors, while short-term investors tend to use the 8-day and 20-day EMA.
The EMA focuses more on recent price movements, which means it reacts to price changes more quickly than the SMA.
Investors tend to view rising EMAs as support for price action and falling EMAs as resistance. From this explanation, investors look for buying opportunities when the price is close to the rising EMA and selling opportunities when the price is close to the falling EMA.
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虽然平滑因子的选择有许多可能，但最常见的选择是：
这使得最新的观察值具有更大的权重。如果平滑因子增加，最近的观察值对EMA的影响也会增大。
计算EMA需要比SMA多一个观察数据。假设你希望将20天作为EMA的观察天数。那么，你必须等到第20天才能获得SMA。在第21天，你可以使用前一天的SMA作为昨天的首个EMA。
SMA的计算相对简单。它只是该时间段内股票收盘价的总和除以该期间的观察次数。例如，20日SMA就是过去20个交易日收盘价的总和除以20。
接下来，你需要计算用于平滑（加权）EMA的乘数，通常按照公式：[2 ÷ （观察次数 + 1）]进行计算。对于20日移动平均线，该乘数为[2/(20+1)]= 0.0952。
最后，使用以下公式来计算当前的EMA：
EMA对近期价格赋予更高的权重，而SMA对所有值赋予相等的权重。对于短期EMA，最新价格的权重大于长期EMA。例如，对于10期EMA，最新价格数据的乘数为18.18%，而对于20期EMA，权重仅为9.52%。
使用开盘价、高价、低价或中位价而非收盘价计算的EMA也存在轻微的变化。
12日和26日的指数移动平均线（EMA）通常是被引用和分析的短期平均线。12日和26日EMA被用来创建移动平均收敛发散（MACD）和百分比价格振荡器（PPO）等指标。一般而言，50日和200日EMA被用作长期趋势的指标。当股票价格穿越200日移动平均线时，通常被视为价格反转的技术信号。
运用技术分析的交易者发现，移动平均线在正确应用时非常有用且富有洞察力。然而，他们也意识到，这些信号在错误使用或误解的情况下可能会造成混乱。所有在技术分析中常用的移动平均线都是滞后指标。
因此，根据移动平均线对特定市场图表的应用得出的结论应旨在确认市场走势或指示其强度。通常，在移动平均线显示趋势已经改变之前，进入市场的最佳时机已经错过。
EMA在一定程度上缓解了滞后所带来的负面影响。因为EMA计算对最新数据赋予更多权重，所以它更紧密地“贴合”价格走势，并更快地反应。这在利用EMA生成交易入场信号时尤其重要。
与所有移动平均线指标一样，EMA更适合于趋势市场。当市场处于强劲和持续的上涨趋势时，EMA指标线也会显示上涨趋势，反之亦然。一个警觉的交易者会关注EMA线的方向及其从一个柱状图到下一个柱状图变化率的关系。例如，假设强劲上涨趋势的价格行动开始变得平缓并逆转。从机会成本的角度来看，可能是时候转换为更看涨的投资。
EMA通常与其他指标结合使用，以确认重要的市场变化并评估其有效性。对于那些在日内交易和快速变动市场中交易的交易者来说，EMA更具适用性。交易者往往使用EMA来确定交易的偏向。如果日线图上的EMA显示出强劲的上升趋势，则日内交易者的策略可能是仅在多头方向进行交易。
EMA和SMA之间的主要区别在于它们对计算中使用的数据变化的敏感度。
具体来说，EMA对近期价格赋予更高的权重，而SMA对所有值赋予相等的权重。这两个平均线是相似的，因为它们的解释方式相同，并且技术交易者通常使用它们来平滑价格波动。
由于EMA对近期数据的权重高于对旧数据的权重，因此它们对最新价格变化的反应比SMA更为迅速。这使得EMA的结果更加及时，也解释了为什么许多交易者更倾向于使用EMA。
是否应该在时间段内给予最新几天更多重视并不明确。许多交易者认为，新的数据能够更好地反映证券的当前趋势。同时，也有人认为，过度关注近期数据会导致偏见，从而出现更多的误报。
同样，EMA完全依赖历史数据。许多经济学家认为市场是有效的，这意味着当前的市场价格已经反映了所有可用信息。如果市场确实有效，那么使用历史数据就不应对未来资产价格的方向提供任何指引。
长期的EMA（例如50日和200日）更倾向于被长期投资者使用，而短期投资者则倾向于使用8日和20日EMA。
EMA更侧重于近期价格变动，这意味着它对价格变化的反应比SMA更快。
投资者往往将上升的EMA视为价格行为的支撑，而将下降的EMA视为阻力。从这一解释来看，投资者在价格接近上升EMA时寻找买入机会，而在价格接近下降EMA时寻找卖出机会。
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