Let’s say composite A has got 10 portfolios: #1 thru #10. Each portfolio has got it’s 12 monthly valuations (which is ok before 2010), and hence 12 monthly returns. In other words, you’ve got 10 port x12 = 120 monthly returns in front of you.
For GIPS and internal disperson, you calc the annual return of EACH portfolio first. That is, you calc for r1, r2, … r10. eg. Annual return for portfolio 1, r1, is calculated based on the 12 valuations for portfolio 1.
Now you have r1 thru r10 for the 10 portfolios and you say you want to group them under composite A. Composite return will be weighted averaged from r1 thru r10. The required (internal) dispersion of composite A will be the SD of r1 thru r10.
The (wrong) (external?) dispersion will be involving something like:
- getting SD of the monthly returns of JUST portfolio 1, OR
- getting SD of all the 120 monthly returns of all the 10 portfolios.
Not 100% sure of the external dispersion part but hope this helps.
- sticky