Converg\303\252ncia / diverg\303\252ncia de m\303\251dia m\303\263vel (MACD)
Conceito PrincipalUma m\303\251dia m\303\263vel \303\251 um tipo de m\303\251dia para dados de s\303\251rie temporal LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYnLUYjNi4tSSVtc3ViR0YkNiUtSSNtaUdGJDYmUSJQRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2Ji1GNDYmUSJpRidGN0Y6Rj1GN0Y6Rj0vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y6L0Y+USdub3JtYWxGJy8lJmZlbmNlR0Y8LyUqc2VwYXJhdG9yR0Y8LyUpc3RyZXRjaHlHRjwvJSpzeW1tZXRyaWNHRjwvJShsYXJnZW9wR0Y8LyUubW92YWJsZWxpbWl0c0dGPC8lJ2FjY2VudEdGPC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmhuLUZJNi5RIixGJ0Y6RkxGTi9GUUY5RlJGVEZWRlhGWkZmbi9Gam5RLDAuMzMzMzMzM2VtRidGSEZCLUZJNi5RIj1GJ0Y6RkxGTkZQRlJGVEZWRlhGWi9GZ25RLDAuMjc3Nzc3OGVtRicvRmpuRmVvLUkjbW5HRiQ2JVEiMUYnRjpGTC1GSTYuUSMuLkYnRjpGTEZORlBGUkZURlZGWEZaL0ZnblEsMC4yMjIyMjIyZW1GJ0ZpbkZILUY0NiZRIk5GJ0Y3RjpGPUY6RkxGOkZMLyUlb3BlbkdRInxmckYnLyUmY2xvc2VHUSJ8aHJGJ0Y6Rkw= que \303\251 atualizado continuamente \303\240 medida que novos dados s\303\243o adicionados \303\240 s\303\251rie.
<Text-field bookmark="bkmrk0" style="Heading 3" layout="Heading 3"><Font bold="true" encoding="UTF-8" italic="true">Tipos de m\303\251dias m\303\263veis</Font></Text-field>Uma m\303\251dia m\303\263vel simples (SMA) obt\303\251m a m\303\251dia dos dados n anteriores:
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 m\303\251dia m\303\263vel cumulativa (CMA) obt\303\251m a m\303\251dia de todos os dados:
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 m\303\251dia m\303\263vel ponderada (WMA) \303\251 projetada para pesar os dados mais recentes mais fortemente:
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, where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEid0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiYtSSNtbkdGJDYlUSIwRidGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdGQC1JI21vR0YkNi5RLyZHcmVhdGVyRXF1YWw7RidGNUZBLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNy8lKGxhcmdlb3BHRjcvJS5tb3ZhYmxlbGltaXRzR0Y3LyUnYWNjZW50R0Y3LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGWS1GLDYlRi4tRiM2Ji1GPjYlUSIxRidGNUZBRjJGNUY4RkNGRS1GRjYuUSJ+RidGNUZBRklGS0ZNRk9GUUZTRlUvRlhRJjAuMGVtRicvRmVuRmFvLUZGNi5RIy4uRidGNUZBRklGS0ZNRk9GUUZTRlUvRlhRLDAuMjIyMjIyMmVtRidGYm8tRkY2LlEiLkYnRjVGQUZJRktGTUZPRlFGU0ZVRmBvRmJvRl1vRkVGXW8tRiw2JUYuLUYjNigtRi82JlEibkYnRjJGNUY4LUZGNi5RKCZtaW51cztGJ0Y1RkFGSUZLRk1GT0ZRRlNGVUZmby9GZW5GZ29Gam5GMkY1RjhGQ0Y1RkE=Normalmente, o termo m\303\251dia m\303\263vel ponderada se refere ao caso espec\303\255fico em que os pesos diminuem em uma progress\303\243o aritm\303\251tica: 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, embora WMAs mais gerais sejam poss\303\255veis.Uma m\303\251dia m\303\263vel exponencial (EMA) \303\251 um tipo de WMA em que os pesos diminuem exponencialmente, mas nunca chegam a zero: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, onde 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.
<Text-field bookmark="bkmrk1" style="Heading 3" layout="Heading 3"><Font bold="true" encoding="UTF-8" italic="true">Converg\303\252ncia / diverg\303\252ncia da m\303\251dia m\303\263vel (MACD)</Font></Text-field>A converg\303\252ncia / diverg\303\252ncia da m\303\251dia m\303\263vel (MACD) \303\251 um indicador comum usado na an\303\241lise t\303\251cnica de a\303\247\303\265es. A linha MACD \303\251 gerada subtraindo a MME de 26 dias da MME de 12 dias. Essa linha \303\251 ent\303\243o comparada \303\240 linha de sinal, que \303\251 uma MME de 9 dias da linha MACD. Quando a linha MACD sobe acima da linha de sinal, deve ser interpretado como um sinal de compra e, quando a linha MACD cai abaixo da linha de sinal, deve ser um bom momento para vender. Para facilitar ainda mais as interpreta\303\247\303\265es das linhas, os programas de an\303\241lise geralmente exibem um assim chamado histograma MACD, que \303\251 a diferen\303\247a entre o MACD e a linha de sinal. Quando o histograma \303\251 positivo, o mercado est\303\241 em alta, e quando o histograma \303\251 negativo, o mercado est\303\241 em baixa.Na figura abaixo, a linha vermelha \303\251 o MACD e a linha azul \303\251 a linha de sinal. Quando o MACD ultrapassa o tempo do sinal, o histograma torna-se positivo e isso indica um sinal de 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Apr.~16"%(DEFAULTG-%&TITLEG6%-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q/MACD~Indicador6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#156"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%%FONTG6$%&TIMESG"#:-%-TRANSPARENCYG6#$""!!""-%*AXESSTYLEG6#%$BOXG-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$?%!""-%)BOUNDS_YG6#$"$!H!""-%-BOUNDS_WIDTHG6#$"%IV!""-%.BOUNDS_HEIGHTG6#$"%]B!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+!)!""-%.BOUNDS_HEIGHTG6#$"%+?!""-%)CHILDRENG6"Ig==Figura 1: Indicador MACD para os pre\303\247os das a\303\247\303\265es da Apple de janeiro a abril de 2011.
Escolha uma empresa e ajuste os pontos inicial e final para ver o pre\303\247o das a\303\247\303\265es e os indicadores MACD no per\303\255odo de tempo escolhido.
Companhia S&P 500,Apple,Microsoft,Westjet,HersheyMovingAvg:-loadStock();Ano de in\303\255cioMovingAvg:-loadStock();Fim de anoMovingAvg:-loadStock();