A sweeping approach to relationship management it started implementing two years ago is a big reason Allstate Life Insurance Co. of Northbrook, Ill., now tops the list of fixed annuity sellers through banks, an executive said.

The Allstate Corp. unit, which uses the marketing name Allstate Financial, posted $1.16 billion of second-quarter bank sales of the annuities, enough to bump American International Group Inc. from the top slot, according to the research firm Kehrer-Limra.

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