Open AccessThe purpose of this study is to look at the relationship between the stock and the bond market of Russia. By using multivariate conditional volatility models, such as, Bollerslev (1990) CCC model, Engle (2002) the DCC model, we first examine whether the correlations between two classes of assets are constant or time varying. Secondly, to investigate the asymmetries in conditional variances, covariances, and correlations, an asymmetric version of the DCC model proposed by Cappiello et al. (2006) is adopted. The empirical results do not support the assumption of constant conditional correlation and there was clear evidence of time varying correlations between the Russian stocks and bond market. Both asset markets exhibit positive asymmetries.