JFE (version 2.5.6)

PainRatio: Pain ratio of the return distribution

Description

To calculate Pain ratio we divide the difference of the portfolio return and the risk free rate by the Pain index

Usage

PainRatio(R, Rf = 0)

Arguments

R

an xts, vector, matrix, data frame, timeSeries or zoo object of asset returns

Rf

risk free rate, in same period as your returns

Author

Ho Tsung-wu <[e-mail]>, College of Management, National Taiwan Normal University.

Details

$$Pain ratio = \frac{r_P - r_F}{\sum^{n}_{i=1} \frac{\mid D'_i \mid}{n}}$$

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

References

Carl Bacon, Practical portfolio performance measurement and attribution, second edition 2008 p.91
See also package PerformanceAnalytics.

Examples

  data(assetReturns)
	assetReturns=assetReturns["2011::2018"] #short sample for fast example
	R=assetReturns[, -29]
  PainRatio(R)