I have a portfolio data as
Account Symbol ComponentVaR Acc1 MSFT CV1 Acc2 GOOG CV2 Acc1 FUT1 CV3 Acc2 FUT2 CV4
So, are following calculations correct.
Account ComponentVaR Acc1 CV1+CV3 Acc2 CV2+CV4
And portfolio VaR can be CV1+CV2+CV3+CV4
Yes and no :-)
Portfolio VaR = CV1 + CV2 + CV3 + CV4 is correct.
To safeguard my answer, I looked this up from thinxlabs.com
The individual component VaRs from the assets in the portfolio should add up tho the total portfolio VaR. The equation is as follows.
But you need to calculate another VaR for each account, if you want to use CV on those. The reason is that the asset weight, is not the same for a given asset when you look at a subset of the portfolio.