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[STUDY] MACD Dashboard: Comparison of all three MACD time series

FX:SPX500   Chỉ số S&P 500
This is the final overview of my research into the MACD (Moving Average Convergence/Divergence) indicator, which is showing part 1, part 2 to part 3 all together in just one chart.

Overall there are nine MACD indicator variations on this chart, because each of the three parts is a comparisons of three different calculation methods (simple moving average vs exponential moving average vs weighted moving average) of each the three different MACD time series components:

Part 1: MACD histogram (difference between MACD and signal line)

Part 2: MACD (difference between fast and slow moving average)

Part 3: MACD signal line (moving average of the difference between the fast and slow moving averages)


P.S. Here is the mathematical interpretation of the MACD indicator:

  • First derivative: fast moving average (12) and slow moving average (26)
  • Second derivative: MACD (fast moving average (12) less the slow moving average (26))
  • Third derivative: MACD signal line (moving average (9) of MACD)
  • Fourth derivative: MACD-Histogram (MACD less MACD signal line)
Source: stockcharts.com...school/doku.php?id=chart_s...

According to Wikipedia "for the standard MACD filter time constants of 12 and 26 periods, the MACD derivative estimate is filtered approximately by the equivalent of a low-pass moving average filter of 38 data periods. The time derivative estimate (per period) is the MACD value divided by 14."

Source: en.wikipedia.org/wiki/MACD
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