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

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_school:technical_indicators:macd-histogram

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