By Dan Fitzpatrick 

Vanguard Group will have to wait at least another month before it can claim the world's largest bond mutual fund.

A Vanguard fund managed by Joshua Barrickman is $1 billion away from surpassing Pacific Investment Management Co.'s Total Return fund after clients pulled $7.3 billion from Pimco's flagship product in March, according to data released Thursday by both money managers.

Total Return ended March with $117.4 billion in assets as compared with $116.4 billion for the Vanguard Total Bond Market Index fund, excluding an ETF share class. Pimco's Total Return became the industry's largest by assets in 1997.

Vanguard's competition for the throne marks a significant turning point for the industry, as investors flock to plain-vanilla funds that follow market indexes rather than relying on money managers to pick winners. Vanguard, based in Malvern, Pa., is known for its hands-off approach to investing.

Pimco, based in Newport Beach, Calif., has been attempting to keep clients following a tumultuous 2014 and the acrimonious departure of Total Return manager Bill Gross at the end of September . The fund is down 60% from its peak of $293 billion in April 2013.

The exit of $7.3 billion in March was the lowest since Mr. Gross's departure, but it marked the 23rd consecutive month of withdrawals from Total Return.

No one in the bond world has benefited more from this shift than Mr. Barrickman, a reserved and soft-spoken manager who oversees the Vanguard Total Bond Market Index fund and is the opposite in many ways of Mr. Gross, who now runs another bond fund for rival Janus Capital Group Inc.

While Mr. Gross is a regular fixture on financial television and well-known for his long monthly letters to investors discussing everything from his dead cat to his body fat, Mr. Barrickman doesn't often communicate with his clients or the outside world. His desk is the same size as his colleagues, while Mr. Gross operated from a desk at Pimco that was among the largest on the trading floor.

Mr. Barrickman's fund won the scramble for cash that followed Mr. Gross's surprise exit without any advertising or sales pitches. His fund, which tracks a version of the Barclays U.S. Aggregate Bond Index, gained nearly $15 billion in client commitments during 2014, while Pimco Total Return lost roughly $103 billion, according to fund research firm Morningstar Inc. Investors added another $1.4 billion in March, excluding an ETF share class.

"We do not view this as an asset gathering horse race, but are gratified that investors continue to invest in the fund," a Vanguard spokesman said via email.

Outflows from the Total Return fund are expected to vary from month to month, but in early December one of three new Total Return managers said the firm had moved past the "knee-jerk reaction in terms of flows that you would expect to happen."

The slowdown in withdrawals during March came as Total Return posted strong performance as compared with rivals. The fund earned a return of 2.22% after fees for the year to date through the end of March and 3.56% for the six months ended March 31, beating the Morningstar Intermediate Term Bond Average and the company's internal benchmarks.

Write to Dan Fitzpatrick at dan.fitzpatrick@wsj.com

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