Based on Chen and Zhao's (2009) criticism of VAR based return de- compositions, we explain in detail the various limitations and pitfalls involved in such decompositions. First, we show that Chen and Zhao's interpretation of their excess bond return decomposition is wrong: the residual component in their analysis is not "cashflow news" but "inter- est rate news" which should not be zero. Consequently, in contrast to what Chen and Zhao claim, their decomposition does not serve as a valid caution against VAR based decompositions. Second, we point out that in order for VAR based decompositions to be valid, the asset price needs to be included as a state variable. In parts of Chen and Zhao's analysis the price does not appear as a state variable, thus rendering those parts of their analysis invalid. Finally, we clarify the intriguing issue of the role of the residual component in equity return decompositions. In a properly specified VAR, it makes no difference whether return news and dividend news are both computed directly or one of them is backed out as a residual.