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Exhibit 4.5

DESCRIPTION OF THE REGISTRANTS SECURITIES

REGISTERED PURSUANT TO SECTION 12 OF THE

SECURITIES EXCHANGE ACT OF 1934

The following description sets forth certain material terms and provisions of the securities of Milestone Pharmaceuticals Inc. (the Company) that are registered under Section 12 of the Securities Exchange Act of 1934, as amended. The following description of our securities is intended as a summary only and is qualified in its entirety by reference to our articles of incorporation and amendments thereto and our bylaws, each of which are filed as exhibits to the Annual Report on Form 10-K of which this description is a part, and to the applicable provisions of the Business Corporations Act (Québec) (BCA).

General

Our authorized share capital consists of an unlimited number of common shares, no par value per share, and an unlimited number of preferred shares, no par value per share, which are issuable in one or more series.

Common Shares

Voting Rights

Under our articles of incorporation, the holders of common shares are entitled to one vote for each share held at any meeting of our shareholders.

Dividends

Subject to the prior rights of holders of our preferred shares, if applicable, the holders of common shares are entitled to receive dividends as and when declared by our board of directors. We have never declared or paid cash dividends on our share capital, and we do not currently intend to pay any cash dividends on our share capital in the foreseeable future. We currently intend to retain all available funds and any future earnings, if any, to fund the development and expansion of our business. Any future determination related to dividend policy will be made at the discretion of our board of directors, subject to applicable laws, and will depend upon, among other factors, our results of operations, financial condition, contractual restrictions and capital requirements. In addition, our ability to pay cash dividends on our share capital in the future may be limited by the terms of any future debt or preferred securities we issue or any credit facilities we enter into.

Liquidation

Subject to the prior payment to holders of our preferred shares, if any, in the event of our liquidation, dissolution or winding-up or other distribution of our assets among our shareholders, the holders of common shares are entitled to share pro rata in the distribution of the balance of our assets.

Rights and Preferences

The holders of common shares have no preemptive, conversion rights or other subscription rights. There are no redemption or sinking fund provisions applicable to our common shares. There is no provision in our articles of incorporation requiring the holders of common shares to contribute additional capital or permitting or restricting the issuance of additional securities or any other material restrictions. The rights, preferences and privileges of the holders of common shares may be subject to, and adversely affected by, the rights of the holders of any series of preferred shares that we may designate in the future.

Preferred Shares

We do not have any preferred shares outstanding. Under our articles of incorporation, we are authorized to issue, without shareholder approval, an unlimited number of preferred shares, issuable in one or more


series, and, subject to the provisions of the BCA, having such designations, rights, privileges, restrictions and conditions, including dividend and voting rights, as our board of directors may determine, and such rights and privileges, including dividend and voting rights, may be superior to those of the common shares. The issuance of preferred shares, while providing flexibility in connection with possible acquisitions and other corporate purposes, could, among other things, have the effect of delaying, deferring or preventing a change in control of our company and might adversely affect the market price of our common shares and the voting and other rights of the holders of common shares. We have no current plans to issue any preferred shares.

Warrants to Purchase Common Shares

Common Stock Warrants

On July 11, 2025, we issued (i) Series A common warrants (the “Series A Common Warrants”) to purchase an aggregate of 31,500,000 common shares and (ii) Series B common warrants (the “Series B Common Warrants” and, together with the Series A Common Warrants, the “Common Warrants”) to purchase an aggregate of 31,500,000 common shares.

Form

The form of Series A Common Warrants was filed as Exhibit 4.2 to our Current Report on Form 8-K filed with the SEC on July 14, 2025. The form of Series B Common Warrants was filed as Exhibit 4.3 to our Current Report on Form 8-K filed with the SEC on July 14, 2025.

Fractional Shares

No fractional shares will be issued in connection with any the exercise the Common Warrants. In lieu of any fractional shares that would otherwise be issuable, the number of common shares to be issued shall be rounded down to the next whole number and we shall pay the holder of the Common Warrants in cash the fair market value based on the closing sale price for any such fractional shares.

Exercise Limitations

Under the terms of the Common Warrants, we may not give effect to the exercise of any such Common Warrant, and a holder will not be entitled to exercise any portion of any such Common Warrants, if, upon giving effect to such exercise, the aggregate number of common shares beneficially owned by the holder (together with its affiliates, any other persons acting as a group together with the holder or any of the holder’s affiliates, and any other persons whose beneficial ownership of common shares would or could be aggregated with the holder’s for purposes of Section 13(d) or Section 16 of the Securities Exchange Act of 1934, as amended, or the Exchange Act) would exceed 4.99% or 9.99%, as elected by the purchaser, of the number of common shares outstanding immediately after giving effect to such exercise. By giving written notice to us, a holder may increase or decrease the maximum percentage to any other percentage specified not in excess of 19.99%; provided that any such increase will not be effective until the sixty-first day after such notice is delivered to us.

Transferability

Subject to applicable laws, the Common Warrants may be offered for sale, sold, transferred or assigned without our consent.

Exchange Listing

There is no established trading market for the Common Warrants, and we do not expect a market to develop. We do not intend to apply for the listing of Common Warrants on the Nasdaq Stock Market, any other national securities exchange or any other nationally recognized trading system.


No Rights as a Shareholder

Except by virtue of such holder’s ownership of shares of our common shares, the holder of a Common Warrant does not have the rights or privileges of a holder of our common shares, including any voting rights, until such holder exercises the Common Warrant.

Registration of Shares Underlying Common Warrants

The common shares underlying the Common Warrants were registered on a Prospectus Supplement, which was filed on July 14, 2025, to the Prospectus included in the Form S-3 registration statement, which was declared effective on November 22, 2024.

Exercise Price and Term

Each Series A Common Warrant entitles the holder thereof to purchase one common share at an exercise price equal to $1.50 per share (or $1.499 per Pre-Funded Warrant), will be immediately exercisable and will expire on the date that is one year from the date of issuance. Each Series B Common Warrant entitles the holder thereof to purchase one common share at an exercise price equal to $1.875 per share (or $1.874 per Pre-Funded Warrant), will be immediately exercisable and will expire five years from the date of issuance. In addition, for so long as the volume weighted average price of the our common shares on each of the preceding 10 consecutive trading days is at least $3.50, we may force the exercise of the Series B Common Warrants, in whole or in part, in cash, by delivering a notice of mandatory exercise to the holders. In the event that we force the exercise of the Series B Common Warrants, to the extent that the holder would own more than the Beneficial Ownership Limitation (as defined in the Common Warrants), the holder would receive a Pre-Funded Warrant for those number of common shares underlying such Series B Common Warrant which would cause the holder to otherwise exceed the Beneficial Ownership Limitation.

Fundamental Transactions

Upon the consummation of a fundamental transaction (as described in the Common Warrants, and, among other things, including the sale, transfer or other disposition of all or substantially all of our properties or assets, our consolidation or merger with or into another person in which the Company is not the surviving person, the acquisition of more than 50% of our outstanding common shares, any person or group becoming the beneficial owner of 50% of the voting power of our outstanding common shares or any reorganization, recapitalization or reclassification of our common shares), the holders of the Common Warrants will be entitled to receive, upon exercise of the Common Warrant, the same amount and kind of securities, cash or property as the holder would have been entitled to receive upon the occurrence of such fundamental transaction if the holder had been, immediately prior to such fundamental transaction, the holder of the number of common shares underlying the Common Warrant then issuable upon exercise in full of the Common Warrant without regard to any limitations on exercise contained herein. Notwithstanding the foregoing, in the event of a fundamental transaction, and subject to certain exceptions, the holders of the Common Warrants have the right to require us or a successor entity to redeem the Common Warrants for cash in the amount of the Black-Scholes Value (as defined in the Common Warrants) of the unexercised portion of the Common Warrants. However, in the event of a fundamental transaction which is not in the Company’s control, including a fundamental transaction not approved by the Company’s board of directors, the holders of the Common Warrants will only be entitled to receive from the Company or its successor entity the same type or form of consideration (and in the same proportion) at the Black Scholes Value of the unexercised portion of the Common Warrants that is being offered and paid to the holders of the Company’s common shares in connection with the fundamental transaction, whether that consideration be in the form of cash, shares or any combination thereof, or whether the holders of the Company’s common shares are given the choice to receive from among alternative forms of consideration in connection with the fundamental transaction.

Pre-Funded Warrants

On March 4, 2024, we issued pre-funded warrants (the “2024 Pre-Funded Warrants”) to purchase 3,333,333 common shares and on July 11, 2025, we issued pre-funded warrants (the “2025 Pre-Funded Warrants”) to purchase 3,502,335 common stock.


Form

The Pre-Funded Warrants were issued as individual warrant agreements to certain investors. The form of 2024 Pre-Funded Warrant was filed as Exhibit 4.1 to our Current Report on Form 8-K filed with the SEC on March 4, 2024. The form of 2025 Pre-Funded Warrant was filed as Exhibit 4.1 to our Current Report on Form 8-K filed with the SEC on July 14, 2025.

Fractional Shares

No fractional shares will be issued in connection with any the exercise the Pre-Funded Warrants. In lieu of any fractional shares that would otherwise be issuable, the number of common shares to be issued shall be rounded down to the next whole number and we shall pay the holder of the Pre-Funded Warrant in cash the fair market value based on the closing sale price for any such fractional shares.

Exercise Limitations

Under the terms of the Pre-Funded Warrants, we may not give effect to the exercise of any such Pre-Funded Warrant, and a holder will not be entitled to exercise any portion of any such Pre-Funded Warrant, if, upon giving effect to such exercise, the aggregate number of common shares beneficially owned by the holder (together with its affiliates, any other persons acting as a group together with the holder or any of the holder’s affiliates, and any other persons whose beneficial ownership of common shares would or could be aggregated with the holder’s for purposes of Section 13(d) or Section 16 of the Securities Exchange Act of 1934, as amended, or the Exchange Act, would exceed 4.99% or 9.99%, as elected by the purchaser, of the number of common shares outstanding immediately after giving effect to such exercise. By giving written notice to us, a holder may increase or decrease the maximum percentage to any other percentage specified not in excess of 19.99%; provided that any such increase will not be effective until the sixty-first day after such notice is delivered to us.

Transferability

Subject to applicable laws, the Pre-Funded Warrants may be offered for sale, sold, transferred or assigned without our consent.

Exchange Listing

There is no established trading market for the Pre-Funded Warrants, and we do not expect a market to develop. We do not intend to apply for the listing of Pre-Funded Warrants on the Nasdaq Stock Market, any other national securities exchange or any other nationally recognized trading system.

No Rights as a Shareholder

Except by virtue of such holder’s ownership of shares of our common shares, the holder of a Pre-Funded Warrant does not have the rights or privileges of a holder of our common shares, including any voting rights, until such holder exercises the Pre-Funded Warrant.

Registration of Shares Underlying Pre-Funded Warrants

The common shares underlying the 2024 Pre-Funded Warrants were registered on a Prospectus Supplement, which was filed on February 28, 2024, to the Prospectus included in the Form S-3 registration statement, which was declared effective on February 2, 2022. The common shares underlying the 2025 Pre-Funded Warrants were registered on a Prospectus Supplement, which was filed on July 14, 2025, to the Prospectus included in the Form S-3 registration statement, which was declared effective on November 22, 2024.

Exercise Price

Each Pre-Funded Warrant has an exercise price of $0.001 per share. In lieu of making the cash payment otherwise contemplated to be made to the Company upon exercise of a Pre-Funded Warrant in payment


of the aggregate exercise price, the holder may elect instead to receive upon such exercise (either in whole or in part) the net number of common shares determined according to a formula set forth in the Pre-Funded Warrants.

Term

Each Pre-Funded Warrant is exercisable immediately and is exercisable until the Pre-Funded Warrant is exercised in full.

Fundamental Transactions

Upon the consummation of a fundamental transaction (as described in the Pre-Funded Warrants, and, among other things, including the sale, transfer or other disposition of all or substantially all of our properties or assets, our consolidation or merger with or into another person in which the Company is not the surviving person, the acquisition of more than 50% of our outstanding common shares, any person or group becoming the beneficial owner of 50% of the voting power of our outstanding common shares or any reorganization, recapitalization or reclassification of our common shares), the holders of the Pre-Funded Warrants will be entitled to receive, upon exercise of the Pre-Funded Warrant, the same amount and kind of securities, cash or property as the holder would have been entitled to receive upon the occurrence of such fundamental transaction if the holder had been, immediately prior to such fundamental transaction, the holder of the number of common shares underlying the Pre-Funded Warrant then issuable upon exercise in full of the Pre-Funded Warrant without regard to any limitations on exercise contained herein.

Transfer Agent and Registrar

Our transfer agent and registrar for our common shares is Computershare Investor Services Inc., with an address of 650 de Maisonneuve Blvd W., 7th Floor, Montréal, Quebec H3A 3T2.

Nasdaq Global Market Listing

Our common shares are listed on The Nasdaq Global Market under the trading symbol MIST.

Advance Notice Procedures and Shareholder Proposals

Under the BCA, shareholders may make proposals for matters to be considered at the annual general meeting of shareholders. Such proposals must be sent to us in advance of any proposed meeting by delivering a timely written notice in proper form to our registered office in accordance with the requirements of the BCA. The notice must include information on the business the shareholder intends to bring before the meeting.

In addition, our bylaws require that shareholders provide us with advance notice of their intention to nominate any persons, other than those nominated by management, for election to our board of directors at a meeting of shareholders.

These provisions could have the effect of delaying the nomination of certain persons for director that are favored by the holders of a majority of our outstanding voting securities.