Functions for risk budgeting.
sampleCOV(x)
normalVaR(x, alpha=0.05)
modifiedVaR(x, alpha=0.05)
sampleVaR(x, alpha=0.05)budgetsSampleCOV(x, weights, mu=NULL, Sigma=NULL)
budgetsNormalVAR(x, weights, alpha=0.05, mu=NULL, Sigma=NULL)
budgetsModifiedVAR(x, weights, alpha=0.05, mu=NULL, Sigma=NULL,
M3=NULL, M4=NULL)
budgetsNormalES(x, weights, alpha=0.05, mu=NULL, Sigma=NULL)
budgetsModifiedES(x, weights, alpha=0.05, mu=NULL, Sigma=NULL,
M3=NULL, M4=NULL)
x
weights
alpha
mean and covariance
M3 and M4
Wuertz, D., Chalabi, Y., Chen W., Ellis A. (2009); Portfolio Optimization with R/Rmetrics, Rmetrics eBook, Rmetrics Association and Finance Online, Zurich.