The aim of the research is to assess convergence processes of market financial depth indicators in states with low, lower middle, upper middle, and high incomes in the period 1993-2015. The relevance of the research is determined by the fact that the deepening of financial markets encourages the increase in the level of economic stability and security, making it possible to serve the growing streams of trans-border capital. Deeper markets are able to provide alternative sources of finance during crises of international liquidity limiting sharp fluctuations of asset prices and currency exchange rates. Globalization of the world economy determines qualitative changes in the development of the world financial market. This is reflected in the dissolving boundaries between its various segments, as a result of which, problems of certain states and segments of the economy significantly influence other states and segments.