The total assets of tax-free money market funds thinned to $341.34 billion following outflows of $4.99 billion during the week ending Aug. 16, according to the Money Fund Report, a service of

Last week, the funds ended with $346.33 billion after inflows of $941.5 million. That inflow helped them rebound from a $760.2 million exodus in the week ending Aug. 2.

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