Nikkei firms as output data fans optimism for recovery

* Industrial output beats strong expectations * Nikkei could make biggest monthly gains since Nov 2013 * Financial shares leading gains, Orix up By Hideyuki Sano TOKYO, Feb 27 (Reuters) - Tokyo share prices hit a fresh 15-year high on Friday on upbeat Japanese industrial output data, while the market awaited an announcement from the country's biggest pension fund on its latest asset allocations. The Nikkei share average rose 0.3 percent to 18,834.89. On the month, it is up 6