Federated Hermes Premier Municipal Income Fund

DEF 14A 1 fpmif1889-form.htm

SCHEDULE 14A INFORMATION

Proxy Statement Pursuant to Section 14(a) of the Securities Exchange Act of 1934

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Federated Hermes Premier Municipal Income Fund

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Proxy Statement–Please Vote Today!

Federated Hermes Premier Municipal Income Fund

Time is of the essence… Voting only takes a few minutes and your participation is important! Act now to help avoid additional expense.

Federated Hermes Premier Municipal Income Fund (the “Fund”) will hold its annual meeting of shareholders on September 12, 2025. It is important for you to vote. We recommend that you read the Proxy Statement in its entirety.

Please note that this Proxy Statement relates to a meeting of the Fund’s shareholders. It is not a meeting of shareholders of Federated Hermes, Inc.

Why am I being asked to vote?

The Fund’s Common Shares are listed on the New York Stock Exchange (“NYSE”). The rules of the NYSE require that the Fund holdan annual meeting each year for the election of Trustees of the Fund.

What am I being asked to vote on?

The proposals include:

•

The election of Thomas M. O’Neill, Max F. Miller and Karen L. Larrimer as Class I Trustees of the Fund by the Fund’s Commonand Preferred Shareholders. The Board of Trustees of the Fund (the “Board”) has nominated Messrs. O’Neill and Miller and Ms. Larrimer for these positions.

•

The election of John G. Carson and John S. Walsh as Trustees of the Fund by the Fund’s Preferred Shareholders only. The Boardof the Fund has nominated Messrs. Carson and Walsh for these positions.

How do I vote my shares?

To vote, you may complete and return the enclosed proxy card, or vote in person at the meeting.

If you:

Sign and return the proxy card without indicating a preference, your vote will be cast “for” the election of the nominees namedin this Proxy Statement.

Do not respond at all, we may contact you by telephone to request that you cast your vote.

Whom do I call if I have questions about this Proxy Statement?

Call your Investment Professional or Service Representative at 1-800-730-6001.

Thank you in advance for your vote and your continued support of the Federated Hermes Funds.

After careful consideration, the Board of Trustees of the Fund has unanimously nominated the above-named individuals tocontinue to serve on the Board. The Board of Trustees of the Fund recommends that you read the enclosed materials carefully andvote FOR the election of these nominees.

NOTICE OF ANNUAL MEETING OF FUND SHAREHOLDERS

TO BE HELD SEPTEMBER 12, 2025

The Annual Meeting of the shareholders of FEDERATED HERMES PREMIER MUNICIPAL INCOME FUND(the“Fund”) will be held at 4000 Ericsson Drive, Warrendale, Pennsylvania 15086-7561, at 10:00 a.m. (Eastern time), on September 12, 2025, for the following purposes:

(1) To consider the election of Thomas M. O’Neill, Max F. Miller and Karen L. Larrimer as Class I Trustees ofthe Fund (Common and Preferred Shareholders).

(2) To consider the election of John G. Carson and John S. Walsh as Trustees of the Fund (Preferred Shareholders only).

(3) To transact such other business as may properly come before the meeting or any adjournment thereof.

The Board of Trustees has fixed June 30, 2025, as the record date for determination of shareholders entitled to vote atthe meeting.

By Order of the Trustees

Peter J. Germain

Secretary

July 17, 2025

PLEASE NOTE THAT THIS PROXY STATEMENT RELATES TO A MEETING OF THE FUND’S SHAREHOLDERS. IT ISNOT A MEETING OF SHAREHOLDERS OF FEDERATED HERMES, INC.

PLEASE COMPLETE, SIGN, DATE AND RETURN THE ENCLOSED PROXY CARD PROMPTLY.

YOU CAN HELP THE FUND AVOID THE NECESSITY AND EXPENSE OF SENDING

FOLLOW-UP LETTERS TO ENSURE A QUORUM BY PROMPTLY COMPLETING AND RETURNING

THE ENCLOSED PROXY CARD. IF YOU ARE UNABLE TO ATTEND THE MEETING, PLEASE COMPLETE,

SIGN, DATE AND RETURN THE ENCLOSED PROXY CARD SO THAT THE NECESSARY QUORUM

MAY BE REPRESENTED AT THE ANNUAL MEETING. THE ENCLOSED ENVELOPE

REQUIRES NO POSTAGE IF MAILED IN THE UNITED STATES.

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