(comneyoiai Correspondence qftAs Reeister.)
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 NEw-YoRK, Sept. 25, 1S41. This market has been in an interesting state since the arrival of the last packet at the date o my last he accounts of the condition of the foreign cotton markets, with the failures that had occurred there' tended greatly to increase the distrust which was previously felt for sterling bills drawn against coton' The demand for specie for shipment has consequent ly increased, and the exports have been as follows; By the Hawe packet $325, 900; London packet $2sO,OOO; by the Great Western $3OO,0OO, total Sl ,O55 900. Notwithstanding the panic in cotton bills, these movements of specie cause nS alarm, from the fact that for long time the banks have had ou hand more specie than desirable, and they were unable find sufficient safe paper to employ all their means consequently the departure ofthe specie is to them relief, il dimipishes the idle capital on hand. With the departurs of the Boston boat on the first prox, this demand will no doubt subside, and the rate of bills agaia fall. The following is a table of the closing for the Great Western, as compared with the previous packets.

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