M2Sortino | R Documentation |
M squared for Sortino is a M^2 calculated for Downside risk instead of Total Risk
M2Sortino(Ra, Rb, MAR = 0, ...)
Ra |
an xts, vector, matrix, data frame, timeSeries or zoo object of asset return |
Rb |
return vector of the benchmark asset |
MAR |
the minimum acceptable return |
... |
any other passthru parameters |
M^2 (Sortino) = Rp + Sortino ratio * (DownsideRiskBenchmark - DownsideRiskPortfolio)
where M^2_S is MSquared for Sortino, r_P is the annualised portfolio return, σ_{DM} is the benchmark annualised downside risk and D is the portfolio annualised downside risk
Ho Tsung-wu <tsungwu@ntnu.edu.tw>, College of Management, National Taiwan Normal University.
Carl Bacon, Practical portfolio performance measurement
and attribution, second edition 2008 p.102-103
See aslo package PerformanceAnalytics
.
data(assetReturns) Ra=assetReturns[, -29] Rb=assetReturns[,29] #DJI M2Sortino(Ra, Rb, MAR=0)
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