"When we look at what's happened since December, markets have been broadly calm. And that gives us some confidence that we might see a much more smooth process going forward," Andrew Burns, a top forecaster at the World Bank and chief author of its Global Economic Prospects report, told CNBC Wednesday.
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However, if a tapering of the Federal Reserve's asset purchase program is met with an abrupt market adjustment, capital flows could decline sharply, placing renewed stress on vulnerable developing economies, it warned. "In a scenario where long-term interest rates rise rapidly by 100 basis points, capital inflows could decline by as much as 50 percent for several quarters," it said.
While major tail-risks have subsided, fiscal policy uncertainty in the United States, a protracted recovery in the euro zone, and possible set-backs in China's restructuring continue to pose risks to global outlook.
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A successful rebalancing of the Chinese economy from investment-led to consumption-driven presents a "formidable challenge."
An involuntary and abrupt decline in investment rates could have a significant impact on growth in the world's number two economy, and knock-on effects in the region and among economies with close trading linkages including commodity producers, the World Bank said.
Nevertheless, it expects growth of 7.7 percent for the mainland economy in 2014, steady from an expected 7.7 percent last year.
—By CNBC's Ansuya Harjani. Follow her on Twitter