Company: MYI
Filing Date: 2025-07-15
Form Type: 425
Source: 0001193125-25-159406
Chunk: 0

Company: BLACKROCK MUNIYIELD QUALITY FUND III, INC.
Filing Date: 2025-07-15
Form: 425
Chunk 0
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Filed by BlackRock MuniYield Quality Fund III, Inc.

pursuant to Rule 425 under the Securities Act of 1933

and deemed filed pursuant to Rule 14a-12

under the Securities Exchange Act of 1934

Subject Company: BlackRock MuniVest Fund, Inc.

Investment Company Act File No.: 811-05611

Date: July 15, 2025

Offer to Purchase

Up to 2.5% of the Issued and Outstanding Shares of Common Stock

of

BlackRock MuniVest Fund, Inc.

at

98% of Net Asset Value Per Share

by

BlackRock MuniVest Fund, Inc.

in Exchange for Cash

THE OFFER TO PURCHASE WILL EXPIRE AT 5:00 P.M., EASTERN TIME,

ON AUGUST 15, 2025, UNLESS THE OFFER IS EXTENDED.

To the Common Stockholders of BlackRock MuniVest Fund, Inc.:

BlackRock MuniVest Fund, Inc., a diversified, closed-end management investment company, organized as a
Maryland Corporation (the “Fund”), is offering to purchase up to 2.5% of its issued and outstanding shares of common stock, par value $0.10 per share (the “Shares”) (the “Offer Amount”). The offer is to purchase Shares
in exchange for cash at a price equal to 98% of the net asset value (“NAV”) per Share (the “Purchase Price”) determined as of the close of the regular trading session of the New York Stock Exchange (the “NYSE”), the
principal market on which the Shares are traded, on the next day the NAV is calculated after the Expiration Date (as defined below) (the “Pricing Date”). The offer is being made upon the terms and subject to the conditions set forth in
this Offer to Purchase and the related Letter of Transmittal (which, together with any amendments or supplements thereto, collectively constitute the “Offer”). If more than the Offer Amount is tendered and not withdrawn, any purchases will
be made on a pro rata basis.

In order to participate, the materials described in the Offer must be delivered to Computershare Trust
Company, N.A. (the “Depositary”) by 5:00 p.m., Eastern time, on August 15, 2025, or such later date to which the Offer is extended (the “Expiration Date”). Should