Quant Nugget 4: Annualization and General Projection of Skewness, Kurtosis and All Summary Statistics
GARP Risk Professional - "The Quant Classroom," pp. 59-63, August 2010
8 Pages Posted: 14 Jul 2010 Last revised: 11 Oct 2010
If the distribution of a financial variable is highly non-normal, as is the case for the monthly return of some hedge funds or options, how do we compute the projected annualized skewness and kurtosis? We address this question in greater generality, projecting all the summary statistics of the financial variables, in addition to skewness and kurtosis, to arbitrary horizons, in addition to one year. Fully documented MATLAB code is also provided.
Keywords: Square-Root Rule, Higher Moments, Cumulants
JEL Classification: C1, G11
Suggested Citation: Suggested Citation