Socially responsible investment has grown enormously and has expanded globally in recent years. It allows SRI investors to reduce their portfolio risk assumptions through international diversification. In this context, the aim of this paper is twofold to examine price and volatility linkages among the most representative SRI indexes for North America, Europe, and Asia-Pacific employing a multivariate approach and to provide the out-of-sample performance of an optimal portfolio constructed on the basis of time-varying return and volatility forecasts from this specification (...) approach. Our overall results show that using this technique, it is possible to reduce risk and out-perform the naïve rule, which is usually employed in this type of investment. These findings are relevant not only for academics but also for practitioners, especially for professional managers of SRI portfolios. (shrink)