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The present study has two objectives. First, one is to clarify the terms, “co-movement” and “co-integration” in the context of stock market indices. Second, to investigate empirically, whether an emerging stock market index represented by Nifty has moved together with DJI and N225 during the study period and whether they are co-integrated or not. This chapter tries to search out an answer for co-movement and co-integration staying within the theoretical framework through an extensive review of the literature. Moreover, the present study is unique because it tries to focus mostly on the pros and cons of financial integration and trade liberalization and the contributing factors responsible for trade and financial integrations leading to co-movement and co-integration among the countries considered in this study. India is taken as a proxy for an emerging economy. Furthermore, this chapter considers America and Japan as proxies for the developed countries around the globe and a significant country among the APAC nations, respectively. The empirical results reveal that not only three indices are highly correlated but they also possess a co-integrating relationship. This establishes the fact that neither is there any scope of international diversification in the short run nor in the long run. However, the Granger causality test results point out the fact that Nifty granger causes DJI and N225 during the study period.