If your New Year's wish is for more yen weakness, get ready to celebrate.

After sliding more than 36 percent since the end of 2011, the median estimate of economists and strategists surveyed by Bloomberg is for an additional drop of almost 4 percent through the end of 2015 from recent levels of ¥120 to the dollar.

A fourth straight annual decline would be the yen's longest losing streak on record, or at least since the global monetary system broke from the gold standard in 1971.