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Prospect ratio is a ratio used to penalise loss since most people feel loss greater than gain
ProspectRatio(R, MAR)
an xts, vector, matrix, data frame, timeSeries or zoo object of asset returns
the minimum acceptable return
Ho Tsung-wu <tsungwu@ntnu.edu.tw>, College of Management, National Taiwan Normal University.
$$ProspectRatio(R) = \frac{\frac{1}{n}*\sum^{n}_{i=1}(Max(r_i,0)+2.25*Min(r_i,0) - MAR)}{\sigma_D}$$
where \(n\) is the number of observations of the entire series, MAR is the minimum acceptable return and \(\sigma_D\) is the downside risk
Carl Bacon, Practical portfolio performance measurement and attribution, second edition 2008 p.100 See also package PerformanceAnalytics.
PerformanceAnalytics
data(assetReturns) R=assetReturns[, -29] ProspectRatio(R, MAR=0)
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