Salim Ramji is betting the path to Vanguard Group customers’ hearts is still through their wallets. In the first major initiative in Ramji’s six-month run as chief executive, Vanguard on Monday slashed the fees on nearly half of its U.

Vanguard Group has cut fees on 87 of its 428 investment funds. The Malvern, Pennsylvania-based investment giant says the reductions will save some of the company’s more than 50 million stock and bond fund investors a total of more than $350 million this year,

Vanguard Group has slashed the fees for dozens of its mutual funds and ETFs in a record move that’s likely to send a shock wave through the asset management industry.Most Read from BloombergNew York’s