Investors looking for alternatives amid the global slump would do well to check out Bangladesh. Exports rose to a record last month even as other regional economies reported continued declines, and economists say shipments will increase as Americans rush to buy cheap clothes. Bangladesh’s central bank forecasts inflation will slow and the World Bank predicts growth will accelerate to 6.7 percent this year, making it one of the world’s fastest-growing economies. “Over the medium-to-long term, we are bullish on the growth prospects of Bangladesh’s industrial and export sectors,” Raphael Mok, Asia analyst at Fitch unit BMI Research, said by e-mail. “The country boasts a large and youthful population, as well as relatively low labor costs.”