* Investors eager for further easing from Fed * Financials, real estate companies in focus * Topix index at highest closing level since May 15 By Sophie Knight TOKYO, June 20 (Reuters) - Japan's Nikkei share average rose on Wednesday as investors bet on a new round of stimulus from the U.S. Federal Reserve to pep up a flagging U.S. recovery and offset the impact of a deepening euro zone debt crisis. The Nikkei climbed 1.1 percent to 8,752.31, its highest closing level since May 17, as risk sentiment picked up and spurred gains for insurance and real estate companies.