CDaR.alpha | R Documentation |
The difference between the actual rate of return and the rate of
return of the instrument estimated via the conditional drawdown beta
is called CDaR.alpha
and it is the equivalent of the typical CAPM
alpha but focusing on market drawdowns.
Positive CDaR.alpha
implies that the instrument performed better than it was
predicted, and consequently, CDaR.alpha
can be used as a performance
measure to rank instrument who overperform under market drawdowns.
CDaR.alpha(R, Rm, p = 0.95, weights = NULL, geometric = TRUE, type = NULL, ...)
R |
an xts, vector, matrix, data frame, timeSeries or zoo object of asset returns |
Rm |
an xts, vector, matrix, data frame, timeSeries or zoo object of benchmark returns |
p |
confidence level for calculation ,default(p=0.95) |
weights |
portfolio weighting vector, default NULL |
geometric |
utilize geometric chaining (TRUE) or simple/arithmetic chaining (FALSE) to aggregate returns, default TRUE |
type |
(Optional) Overrides the p parameter. If "average" then p = 0 and if "max" then p = 1 |
... |
any passthru variable |
The annualized alpha (input data are assumed to be of monthly frequency)
Tasos Grivas <tasos@openriskcalculator.com>, Pulkit Mehrotra
Zabarankin, M., Pavlikov, K., and S. Uryasev. Capital Asset Pricing Model (CAPM) with Drawdown Measure.Research Report 2012-9, ISE Dept., University of Florida,September 2012.
CDaR
CDaR.beta
data(edhec)
CDaR.alpha(edhec[,1],edhec[,2])
CDaR.alpha(edhec[,1],edhec[,2],type="max")
CDaR.alpha(edhec[,1],edhec[,2],type="average")
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