NEW YORK — Prime Minister Naoto Kan’s wish for a weaker yen is coming true as the strengthening global economy encourages Japanese investors to send more of their money overseas in search of higher yields.

The yen has depreciated 8 percent from its August peak against a basket of nine developed-nation peers, according to the Bloomberg Correlation-Weighted Currency Indexes. The lower exchange rate marks a turnaround from early 2010, when global investors demanding a refuge from Europe’s sovereign-debt crisis propelled it to a 15-year high versus the dollar.

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