Pain ratio of the return distribution
To calculate Pain ratio we divide the difference of the portfolio return and the risk free rate by the Pain index
PainRatio(R, Rf = 0, ...)
R |
an xts, vector, matrix, data frame, timeSeries or zoo object of asset returns |
Rf |
risk free rate, in same period as your returns |
... |
any other passthru parameters |
Pain ratio = (rp - rf) / Pain index
where r_P is the annualized portfolio return, r_F is the risk free rate, n is the number of observations of the entire series, D'_i is the drawdown since previous peak in period i
Matthieu Lestel
Carl Bacon, Practical portfolio performance measurement and attribution, second edition 2008 p.91
data(portfolio_bacon) print(PainRatio(portfolio_bacon[,1])) #expected 2.66 data(managers) print(PainRatio(managers['1996'])) print(PainRatio(managers['1996',1]))
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