'European Stability Mechanism', sometimes seen in the news, is an

agency created by EU to deal with the impact of millions of refugees arriving from Middle East
agency of EU that provides financial assistance to eurozone countries
agency of EU to deal with all the bilateral and multilateral agreements on trade
agency of EU to deal with the conflicts arising among the member countries

Answer

agency of EU that provides financial assistance to eurozone countries

(a) Incorrect. The European Stability Mechanism (ESM) was not created for refugee management; it is a financial crisis-resolution mechanism.
(b) Correct. The ESM provides financial assistance to euro area (eurozone) countries facing severe financing problems, to safeguard eurozone stability.
(c) Incorrect. Trade agreements of the EU are handled through EU institutions like the European Commission, not the ESM.
(d) Incorrect. The ESM is not a conflict-resolution body among member states; its role is financial stabilization.

Therefore, the correct answer is (b).