Company: TVRD
Filing Date: 2025-02-14
Form Type: 424B3
Source: 0001104659-25-014310
Chunk: 4

Company: Tvardi Therapeutics, Inc.
Filing Date: 2025-02-14
Form: 424B3
Chunk 4
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 fair to, advisable and in the best interests of Cara and its stockholders; (ii) authorized, approved and declared advisable the Merger Agreement and the transactions contemplated therein, including the Merger, the issuance of shares of Cara common stock to the stockholders of Tvardi common stock pursuant to the terms of Merger Agreement and the change of control of Cara resulting from the Merger; and (iii) determined to recommend, upon the terms and subject to the conditions set forth in the Merger Agreement, that the stockholders of Cara vote “ FOR ” each of the proposals set forth in this proxy statement/prospectus. More information about Cara, Tvardi and the proposed transactions is contained in this proxy statement/prospectus. Cara urges you to read this proxy statement/prospectus carefully and in its entirety. In particular, you should carefully consider the matters discussed under “Risk Factors” beginning on page 27 . Cara is excited about the opportunities the Merger brings to Cara’s stockholders, and thank you for your consideration and continued support.

| ​ | Christopher PosnerPresident and Chief Executive OfficerCara Therapeutics, Inc. | ​ |

Neither the U.S. Securities and Exchange Commission nor any state securities commission has approved or disapproved of these securities or passed upon the adequacy or accuracy of this proxy statement/prospectus. Any representation to the contrary is a criminal offense. This proxy statement/prospectus is dated February 14, 2025 and is first being mailed to Cara’s stockholders on or about February 14, 2025.

TABLE OF CONTENTS

#### 400 Atlantic Street

#### Suite 500

#### Stamford, CT 06901

### NOTICE OF SPECIAL MEETING OF STOCKHOLDERS

#### To Be Held On April 1, 2025
Dear Stockholders of Cara:

The Cara Board is pleased to deliver this proxy statement/prospectus for the proposed Merger between a wholly owned subsidiary of Cara and Tvardi, for the purpose of, among other things, considering the approval of the issuance of Cara common stock pursuant to the Merger Agreement, among Cara, Merger Sub and Tvardi, pursuant to the Merger.

There will not be a physical meeting location. The Cara special meeting will be held exclusively online via live audio-only webcast on April 1, 2025, at 10:00 a.m. Eastern Time, and can be accessed by visiting www.virtualshareholdermeeting.com/CARA2025SM where you will be able