MeanAbsoluteDeviation | R Documentation |
To calculate Mean absolute deviation we take the sum of the absolute value of the difference between the returns and the mean of the returns and we divide it by the number of returns.
MeanAbsoluteDeviation(R, ...)
R |
an xts, vector, matrix, data frame, timeSeries or zoo object of asset returns |
... |
any other passthru parameters |
MeanAbsoluteDeviation = \frac{\sum^{n}_{i=1}\mid r_i - \overline{r}\mid}{n}
where n
is the number of observations of the entire series, r_i
is the
return in month i and \overline{r}
is the mean return
Matthieu Lestel
Carl Bacon, Practical portfolio performance measurement and attribution, second edition 2008 p.62
data(portfolio_bacon)
print(MeanAbsoluteDeviation(portfolio_bacon[,1])) #expected 0.0310
data(managers)
print(MeanAbsoluteDeviation(managers['1996']))
print(MeanAbsoluteDeviation(managers['1996',1]))
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