WASHINGTON — In response to industry criticism, the Federal Deposit Insurance Corp. revamped a rule Friday in an effort to open its liquidity guarantee to more banks and investors.

The new rule scraps a uniform 75-basis-point fee for senior debt covered by the program, which bankers had said was excessive, and replaces it with a tiered system that prices debt based on its maturity. Under the change, assessments for most participants would range between 50 and 100 basis points.

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