From our Commercial Correspondent. :.
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NEw-YoRK, May 20, lS4l

 The business for the packets sailing to-day has been large, and prices have generally improved Money is very plenty, and the feeling in the market seems to be that towards the close of the bills will run short and the price go up. This has caused a more active demand for bills and the rate for ster ing has been 10s l0sl Southern bills without city endorsements have sold at 74 7t per cent; on France f5 27l f5 25. The closing rates f5 264 1t is stated that more than 900 000fs have been sold since Saturday, and some demand for Mexican dol lars sprung up in consequence of the improved rate of bills, the premium the dollar rose a I, and ,he packet takes out SsO,00O. It is generally un- 5erstood that there has been far less fictitious draw ing this year. that cotton, tobacco and other produce have gone forward more regularly than for many years. The supply of bills furnished by these, it is apprehended, may fall short and cause demand for specie, without there being sufficient improvement in foreign markets to allow of supply of bills being based upon securities It is understood here that the business at the south is pretty much over for the sea- son, and that there will be but few more bills from that quarter. lfs,,ife ..f f fi

 There is but little of interest here. The rapid app uroach of the extra session absorbs the principal top- ;cs of conversation. Many efforts are making in fa- vor of National Bank, but the opposition is much