The study of international integration of equity markets has received a great deal of interest. This paper investigates whether returns of 41 closed-end country funds share a common volatility process with three comparable return-series: the underlying net asset value (NAV), the U.S., and the foreign stock market returns. Country funds provide a natural setting to test for international market integration as they are traded in the U.S. market while their underlying assets are traded in foreign stock markets. Our results indicate that only a few emerging markets’ country funds share common volatility processes with their comparable asset returns. This, in turn, suggests weak linkages through the second moment of related assets.