(Updates with closing prices) NEW YORK, Oct 16 (Reuters) - Arabica coffee futures on ICE rallied to a one-month high on Friday as market participants grew nervous that critically low exchange stocks will not be replenished as soon as previously expected. * Arabica coffee settled up 10.8 cents, or 3.7%, at $3.056 per lb​​. It earlier hit a one-month high of $3.1130. * ICE-certified stocks were last at 238,976 bags, not far off last month's 27-year-low of 217,646 bags.