RachevRatio | R Documentation |
RachevRatio
computation with standard errors.
RachevRatio(
R,
alpha = 0.1,
beta = 0.1,
rf = 0,
SE = FALSE,
SE.control = NULL,
...
)
R |
Data of returns for one or multiple assets or portfolios. |
alpha |
Lower tail probability. |
beta |
Upper tail probability. |
rf |
Risk-free interest rate. |
SE |
TRUE/FALSE whether to ouput the standard errors of the estimates of the risk measures, default FALSE. |
SE.control |
Control parameters for the computation of standard errors. Should be done using the |
... |
Additional parameters. |
The Rachev ratio, introducted in Rachev et al. (2008), is a non-parametric estimator of the upper tail reward potential relative to the
lower tail risk in a non-Gaussian setting, and as such, it is particularly useful when returns have a fat-tailed and possibly skewed distribution.
For small \alpha
and \beta
, it is a measure of the potential of extreme positive returns to risk of extremel negative returns.
For lower tail parameter \alpha
and lower tail parameter \beta
, the Rachev ratio is given by
\frac{ETL_{\alpha}(R_{f}-R_{a})}{ETL_{\beta}(R_{a}-R_{f})}
.
A vector or a list depending on se.method
.
Anthony-Alexander Christidis, anthony.christidis@stat.ubc.ca
Rachev, Svetlozar T. et al. (2008). Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization (1st ed.)
# Loading data from PerformanceAnalytics
data(edhec, package = "PerformanceAnalytics")
class(edhec)
# Changing the data colnames
names(edhec) = c("CA", "CTA", "DIS", "EM", "EMN",
"ED", "FIA", "GM", "LS", "MA",
"RV", "SS", "FOF")
# Compute Rachev ratio for managers data
RachevRatio(edhec)
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