移動平均線（SMA/EMA）計算器
分類： UncategorizedCalculate Simple and Exponential Moving Averages to identify trends, potential support/resistance levels, and generate trading signals
價格數據輸入
Moving Average Parameters
Understanding Moving Averages
Moving averages are one of the most versatile and widely used technical indicators in financial markets. They smooth out price data to identify trends and potential trading opportunities.
簡單移動平均（SMA）
The Simple Moving Average (SMA) is calculated by taking the arithmetic mean of a given set of prices over a specific number of periods:
Where P represents prices and n is the number of periods.
- Advantages: Simple to calculate and understand; gives equal weight to all prices in the calculation period
- Disadvantages: Slower to react to price changes; older prices affect the average as much as recent prices
- Common Uses: Identifying trends, support/resistance levels, and trade signals when prices cross the SMA
指數移動平均（EMA）
The Exponential Moving Average (EMA) gives more weight to recent prices, making it more responsive to new information:
Where k = 2/(n+1), and n is the number of periods.
- Advantages: More responsive to recent price changes; reduces lag in trend identification
- Disadvantages: More complex to calculate; can generate more false signals in choppy markets
- Common Uses: Short-term trading strategies, identifying trend changes more quickly
Trading Strategies Using Moving Averages
MA Crossover Strategy
A bullish signal occurs when a shorter-period MA crosses above a longer-period MA. Conversely, a bearish signal occurs when a shorter-period MA crosses below a longer-period MA.
Example: Golden Cross (50-day SMA crosses above 200-day SMA) and Death Cross (50-day SMA crosses below 200-day SMA)
Price Crossover Strategy
A bullish signal occurs when price crosses above the MA. A bearish signal occurs when price crosses below the MA.
Example: Buy when price closes above the 20-day SMA; sell when price closes below the 20-day SMA
Support and Resistance
Moving averages often act as dynamic support (in uptrends) or resistance (in downtrends). Traders look for price reactions when approaching these levels.
Example: In an uptrend, buying when price pulls back to the 50-day MA and shows signs of bouncing
Trend Filter
Using MAs to determine the market direction before applying other trading strategies. Only take long positions when price is above the MA, and short positions when price is below the MA.
Example: Only considering long trades when price is above the 200-day MA
Tips for Using Moving Averages Effectively
- Choose appropriate periods - Shorter periods (5-20) are more suitable for short-term trading, while longer periods (50-200) are better for long-term trend identification
- Combine multiple MAs - Using multiple MAs with different periods can provide more reliable signals and filter out false ones
- Use with other indicators - Combine MAs with momentum indicators (RSI, MACD) or volume indicators for confirmation
- Understand market context - MAs work better in trending markets and may generate false signals in ranging or choppy markets
- 注意滯後 - All MAs have some degree of lag; EMAs reduce lag but may be more prone to whipsaws
Uncategorized 相關工具
沒有相關工具。
本工具計算什麼
計算價格序列的簡單移動平均線（SMA）及指數移動平均線（EMA）。
- 公式
SMA = 最近 N 個收市價總和 ÷ N；EMA = 現價 × k + 前一日 EMA ×（1 − k），其中 k = 2 ÷（N + 1）- 計算示例
- 10 日 SMA 即最近 10 個收市價相加除以 10。10 日 EMA 的權重 k = 2 ÷ 11 = 0.182，即最新收市價佔 18.2%。
- 何時使用
- 用以平滑價格波動，觀察底層趨勢方向。
- 常見錯誤
- 移動平均線必然滯後。週期越長，轉向越遲，它只能確認走勢，不能預測走勢。