Century Bancorp Inc.'s second-quarter earnings rose 7%, as a lower tax rate and higher net interest income helped offset an increase in loan trouble and a larger assessment for deposit insurance.

The $2 billion-asset Medford, Mass., company said after the market closed Tuesday that it had net income of $2 million, or 36 cents a share, for the second quarter, up from $1.88 million, or 34 cents a share, a year earlier.

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