Tax-exempt money market funds had $411 million inflow in the week ended June 3 as total net assets settled at $257.84 billion, according to The Money Fund Report, a service of iMoneyNet.com.

Tax-exempt money market funds continue to struggle to recoup the billions that exited the industry since the beginning of the year — particularly the $17.21 billion it shed during the four-week tax-season that began on April 1.

This week's inflows contrast with the $1.84 billion outflow last week.

The average, seven-day simple yield for the 423 reporting tax-exempt money funds remained at 0.01%, while the average maturity decreased by one day to 28 days.

The 1,026 reporting taxable money market funds, took in $9.36 billion in the week ended June 4 as total net assets increased to $2.339 trillion. That compares to the prior week's $5.48 billion of inflows that brought total net assets to $2.330 trillion.

The average, seven-day simple yield for the taxable money funds held at 0.01%, while the average maturity decreased by one day to 48 days.

Overall, the combined assets of the 1,449 reporting money funds grew by $9.77 billion as total net assets increased to $2.597 trillion in the week ended June 4, versus inflows of $3.64 billion in the prior week when total net assets closed at $2.587 trillion.