Inducement Letter, dated as of May 20, 2024

Exhibit 10.3

EXECUTION VERSION

INHIBIKASE THERAPEUTICS, INC.

3350 Riverwood Parkway SE, Suite 1900

Atlanta, Georgia 30339

May 20, 2024

To the Holder of January 2023 Common Stock Purchase Warrants

Re: Inducement Offer to Exercise Existing Common Stock Purchase Warrants

Dear Holder:

INHIBIKASE THERAPEUTICS, INC. (the “Company”) is pleased to offer to you the opportunity to exercise the warrants to purchase shares of the Company’s common stock, par value $0.001 per share (the “Common Stock”), currently held by you (the “Holder,” “you” or similar terminology) and issued to you on January 27, 2023 (the “January 2023 Warrants”). The number of shares (the “Warrant Shares”) underlying January 2023 Warrants that the Holder agrees to exercise (the “Existing Warrants”) on terms set forth herein and as set forth on the signature page hereto are registered pursuant to registration statements (File Nos. 333-269521 and 333-262551) (each, a “Registration Statement”). Each Registration Statement is currently effective and, upon exercise of the Existing Warrants pursuant to this letter agreement, will be effective for the resale or issuance, as the case may be, of the Warrant Shares if sold pursuant thereto. Capitalized terms not otherwise defined herein shall have the meanings set forth in the New Warrants (as defined hereinafter).

In consideration for exercising the Existing Warrants held by you and set forth on the Holder’s signature page hereto (the “Warrant Exercise”) at the reduced exercise price per Warrant Share of $1.68 for the Existing Warrants, the Company hereby offers to issue to you or your designee:

In connection with the transactions contemplated by this letter agreement, the Company shall enter into with Milton H. Werner Ph.D. a support agreement, providing that, among other things, Dr. Werner will vote his shares in favor of this letter agreement and the transactions contemplated hereby (the “Support Agreement”).

The New Warrant certificates will be delivered within two (2) Trading Days following the Warrant Exercise, and such New Warrants, together with any underlying shares of Common Stock issued upon exercise of the New Warrants, shall, unless and until registered, contain customary restrictive legends and other language typical for an unregistered warrant and unregistered shares. Notwithstanding anything herein to the contrary, in the event that any Warrant Exercise would otherwise cause the Holder to exceed the beneficial ownership limitations (“Beneficial Ownership Limitation”) set forth in Section 2(e) of the Existing Warrants (or, if applicable and at the Holder’s election, 9.99%), the Company shall only issue such number of Warrant Shares to the Holder that would not cause the Holder

to exceed the maximum number of Warrant Shares permitted thereunder, as directed by the Holder, with the balance to be held in abeyance until notice from the Holder that the balance (or portion thereof) may be issued in compliance with such limitations, which abeyance shall be evidenced through the Existing Warrants which shall be deemed prepaid thereafter (including the payment in full of the exercise price), and exercised pursuant to a Notice of Exercise in the Existing Warrants (provided no additional exercise price shall be due and payable). The parties hereby agree that the Beneficial Ownership Limitation for purposes of the Existing Warrants is as set forth on the Holder’s signature page hereto.

In regards to the unexercised portion of the January 2023 Warrants after giving effect to the Warrant Exercise, the Company shall execute and deliver to the Holder an amended and restated Common Stock purchase warrant covering the remaining unexercised portion of the January 2023 Warrant at a reduced exercise price of $1.68 on the Closing Date (as hereinafter defined).

Expressly subject to the paragraph immediately following this paragraph below, the Holder may accept this offer by signing this letter below, with such acceptance constituting the Holder’s exercise in full of the Existing Warrants for an aggregate exercise price set forth on the Holder’s signature page hereto (the “Warrants Exercise Price”) on or before 5:00 p.m., Eastern Time, on May 20, 2024 (the “Execution Time”).

The Company agrees to the representations, warranties and covenants set forth on Annex A attached hereto.

Holder represents and warrants that, as of the date hereof it is, and on each date on which it exercises any New Warrants it will be, an “accredited investor” as defined in Rule 501 of Regulation D promulgated under the Securities Act, and agrees that the New Warrants will contain restrictive legends when issued, and neither the New Warrants nor the shares of Common Stock issuable upon exercise of the New Warrants will be registered under the Securities Act, except as provided in Annex A attached hereto. Also, Holder represents and warrants that it is acquiring the New Warrants as principal for its own account and has no direct or indirect arrangement or understandings with any other persons to distribute or regarding the distribution of the New Warrants or the New Warrant Shares (this representation is not limiting Holder’s right to sell the New Warrant Shares pursuant to an effective registration statement under the Securities Act or otherwise in compliance with applicable federal and state securities laws).

The Holder understands that the New Warrants and the New Warrant Shares are not, and may never be, registered under the Securities Act, or the securities laws of any state and, accordingly, each certificate, if any, representing such securities shall bear a legend substantially similar to the following:

THIS SECURITY HAS NOT BEEN REGISTERED WITH THE SECURITIES AND EXCHANGE COMMISSION OR THE SECURITIES COMMISSION OF ANY STATE IN RELIANCE UPON AN EXEMPTION FROM REGISTRATION UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE “SECURITIES ACT”), AND, ACCORDINGLY, MAY NOT BE OFFERED OR SOLD EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OR PURSUANT TO AN AVAILABLE EXEMPTION FROM, OR IN A TRANSACTION NOT SUBJECT TO, THE REGISTRATION REQUIREMENTS OF THE SECURITIES ACT AND IN ACCORDANCE WITH APPLICABLE STATE SECURITIES LAWS.

Upon the Holder’s exercise of the New Warrants, certificates evidencing the New Warrant Shares shall not contain any legend (including the legend set forth above), (i) while a registration statement covering the resale of such New Warrant Shares is effective under the Securities Act, (ii) following any sale of such New Warrant Shares pursuant to Rule 144 under the Securities Act, (iii) if such New Warrant Shares are eligible for sale under Rule 144 (assuming cashless exercise of the New Warrants), without the requirement for the Company to be in compliance with the current public information requirement under Rule 144 as to such New Warrant Shares and without volume or manner-of-sale restrictions, (iv) if such New Warrant Shares may be sold under Rule 144 (assuming cashless exercise of the New Warrants) and the Company is then in compliance with the current public information requirement under Rule 144 as to such New Warrant Shares, or (v) if such legend is not required under applicable requirements of the Securities Act (including judicial interpretations and pronouncements issued by the staff of the Securities and Exchange Commission (the “Commission”) and the earliest of clauses (i) through (v), the “Delegend Date”)). The Company shall cause its counsel to issue a legal opinion to the Transfer Agent promptly after the Delegend Date if required by the Company

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and/or the Transfer Agent to effect the removal of the legend hereunder, or at the request of the Holder, which opinion shall be in form and substance reasonably acceptable to the Holder. From and after the Delegend Date, such New Warrant Shares shall be issued free of all legends, provided that, upon request of the Company (which request shall also include a form of customary representation letter), the Holder has delivered in advance to the Company a customary representation letter that is reasonably satisfactory to the Company and its counsel. The Company agrees that following the Delegend Date or at such time as such legend is no longer required under this Section, it will, no later than two (2) Trading Days following the delivery by the Holder to the Company or the Transfer Agent of a certificate representing the New Warrant Shares issued with a restrictive legend (such second (2nd) Trading Day, the “Legend Removal Date”), deliver or cause to be delivered to the Holder a certificate representing such shares that is free from all restrictive and other legends or, at the request of the Holder, shall credit the account of the Holder’s prime broker with the Depository Trust Company System as directed by the Holder.

In addition to the Holder’s other available remedies, the Company shall pay to a Holder, in cash, (i) as partial liquidated damages and not as a penalty, for each $1,000 of New Warrant Shares (based on the VWAP of the Common Stock on the date such New Warrant Shares are submitted to the Transfer Agent) delivered for removal of the restrictive legend, $10 per Trading Day (increasing to $20 per Trading Day five (5) Trading Days after such damages have begun to accrue) for each Trading Day after the Legend Removal Date until such certificate is delivered without a legend and (ii) if the Company fails to (a) issue and deliver (or cause to be delivered) to the Holder by the Legend Removal Date a certificate representing the New Warrant Shares free from all restrictive and other legends and (b) if after the Legend Removal Date the Holder purchases (in an open market transaction or otherwise) shares of Common Stock to deliver in satisfaction of a sale by the Holder of all or any portion of the number of shares of Common Stock, or a sale of a number of shares of Common Stock equal to all or any portion of the number of shares of Common Stock that the Holder anticipated receiving from the Company without any restrictive legend, then, an amount equal to the excess of the Holder’s total purchase price (including brokerage commissions and other out-of-pocket expenses, if any) for the shares of Common Stock so purchased (including brokerage commissions and other out-of-pocket expenses, if any) (the “Buy-In Price”) over the product of (A) such number of New Warrant Shares that the Company was required to deliver to the Holder by the Legend Removal Date and for which the Holder was required to purchase shares to timely satisfy delivery requirements, multiplied by (B) the weighted average price at which the Holder sold that number of shares of Common Stock.

If this offer is accepted and the transaction documents are executed by the Execution Time, then on or before 8:30 a.m., Eastern Time, on the Trading Day following the date hereof, the Company shall issue a press release and/or file a Current Report on Form 8-K with the Commission disclosing all material terms of the transactions contemplated hereunder, including this letter agreement as an exhibit thereto with the Commission within the time required by the Exchange Act. From and after the issuance of such press release or filing of such of such Current Report on Form 8-K, as applicable, the Company represents to you that it shall have publicly disclosed all material, non-public information delivered to you by the Company, or any of its respective officers, directors, employees or agents in connection with the transactions contemplated hereunder. In addition, effective upon the issuance of such press release and/or filing of such Current Report on Form 8-K, the Company acknowledges and agrees that any and all confidentiality or similar obligations under any agreement, whether written or oral, between the Company, any of its Subsidiaries or any of their respective officers, directors, agents, employees or Affiliates on the one hand, and you and your Affiliates on the other hand, shall terminate. The Company represents, warrants and covenants that, upon acceptance of this offer, and upon issuance of the Warrant Shares, the Warrant Shares shall be issued free of any legends or restrictions on resale by Holder.

No later than the second (2nd) Trading Day following the date hereof, the closing (“Closing”) shall occur at such location as the parties shall mutually agree. Unless otherwise directed by Maxim Group LLC (the “Placement Agent”), settlement of the Warrant Shares shall occur via “Delivery Versus Payment” (i.e., on the Closing Date, the Company shall issue the Warrant Shares registered in the Holder’s name and address provided to the Company in writing and released by the Transfer Agent directly to the account(s) at the Placement Agent identified by the Holder; upon receipt of such Warrant Shares, the Placement Agent shall promptly electronically deliver such Warrant Shares to the Holder, and payment therefor shall concurrently be made to the Company by the Placement Agent (or its clearing firm) by wire transfer to the Company). The date of the Closing of the exercise of the Existing Warrants shall be referred to as the “Closing Date.”

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[Holder Signature Page Follows]

[Signature Page to IKT Inducement Letter]

Accepted and Agreed to:

Name of Holder:                        

Signature of Authorized Signatory of Holder:                        

Name of Authorized Signatory:                        

Title of Authorized Signatory:                        

Number of Existing Warrants:                        

Aggregate Warrant Exercise Price at the Reduced Exercise Price being exercised contemporaneously with signing this letter agreement:                        

Existing Warrants Beneficial Ownership Blocker: 4.99% or 9.99%

New Warrants:                        

New Warrants Beneficial Ownership Blocker: 4.99% or 9.99%

DTC Instructions:                        

[Signature Page to IKT Inducement Letter]

Annex A

Representations, Warranties and Covenants of the Company. The Company hereby makes the following representations and warranties to the Holder:

a)  SEC Reports. The Company has filed all reports, schedules, forms, statements and other documents required to be filed by the Company under the Exchange Act, including pursuant to Section 13(a) or 15(d) thereof, for the two years preceding the date hereof (or such shorter period as the Company was required by law or regulation to file such material) (the foregoing materials, including the exhibits thereto and documents incorporated by reference therein “SEC Reports”). As of their respective dates, the SEC Reports complied in all material respects with the requirements of the Exchange Act and none of the SEC Reports, when filed, contained any untrue statement of a material fact or omitted to state a material fact required to be stated therein or necessary in order to make the statements therein, in the light of the circumstances under which they were made, not misleading except as otherwise noted in a subsequent SEC Report. The Company has never been an issuer subject to Rule 144(i) under the Securities Act.

b)  Authorization; Enforcement. The Company has the requisite corporate power and authority to enter into and to consummate the transactions contemplated by this letter agreement and otherwise to carry out its obligations hereunder. The execution and delivery of this letter agreement by the Company and the consummation by the Company of the transactions contemplated hereby have been duly authorized by all necessary action on the part of the Company, and no further action is required by the Company, its board of directors or its stockholders in connection herewith other than the Stockholder Approval. This letter agreement has been duly executed by the Company and, when delivered in accordance with the terms hereof, will constitute the valid and binding obligation of the Company enforceable against the Company in accordance with its terms, except (i) as limited by general equitable principles and applicable bankruptcy, insolvency, reorganization, moratorium and other laws of general application affecting enforcement of creditors’ rights generally, (ii) as limited by laws relating to the availability of specific performance, injunctive relief or other equitable remedies and (iii) insofar as indemnification and contribution provisions may be limited by applicable law.

c)  No Conflicts. The execution, delivery and performance of this letter agreement by the Company and the consummation by the Company of the transactions contemplated hereby do not and will not: (i) conflict with or violate any provision of the Company’s certificate or articles of incorporation, bylaws or other organizational or charter documents; or (ii) conflict with, or constitute a default (or an event that with notice or lapse of time or both would become a default) under, result in the creation of any liens, claims, security interests, other encumbrances or defects upon any of the properties or assets of the Company in connection with, or give to others any rights of termination, amendment, acceleration or cancellation (with or without notice, lapse of time or both) of, any material agreement, credit facility, debt or other material instrument (evidencing Company debt or otherwise) or other material understanding to which such Company is a party or by which any property or asset of the Company is bound or affected; or (iii) conflict with or result in a violation of any law, rule, regulation, order, judgment, injunction, decree or other restriction of any court or governmental authority to which the Company is subject (including federal and state securities laws and regulations), or by which any property or asset of the Company is bound or affected, except, in the case of each of clauses (ii) and (iii), such as could not have or reasonably be expected to result in a material adverse effect upon the business, prospects, properties, operations, condition (financial or otherwise) or results of operations of the Company, taken as a whole, or in its ability to perform its obligations under this letter agreement.

d)  Registration Obligations. As soon as practicable (and in any event within 30 calendar days of the date hereof), the Company shall file a registration statement on Form S-1 or Form S-3 providing for the resale by the Holder of the New Warrant Shares issued and issuable upon exercise of the New Warrants. The Company shall use commercially reasonable efforts to cause such registration to become effective within 60 days (90 days in the event the Commission elects to review such registration statement) following the filing date of such registration statement and to keep such registration statement effective at all times until the Holder does not own any New Warrants or New Warrant Shares issuable upon exercise thereof. The Holder agrees to properly notify the Company if it no longer owns any New Warrants or New Warrant Shares issuable upon exercise thereof.

e)  Trading Market. The transactions contemplated under this letter agreement comply with all the rules and regulations of the Nasdaq Capital Market.

f)  Filings, Consents and Approvals. The Company is not required to obtain any consent, waiver, authorization or order of, give any notice to, or make any filing or registration with, any court or other federal, state, local or other governmental authority or other Person in connection with the execution, delivery and performance by the Company of this letter agreement, other than: (i) the filings required pursuant to this letter agreement; (ii) application(s) or notice to each applicable Trading Market for the listing of the New Warrants and New Warrant Shares for trading thereon in the time and manner required thereby, (iii) the filing of form D with the Commission and such filings as are required to be made under applicable state securities laws, and (iv) the Stockholder Approval.

g)  Listing of Common Stock. The Company agrees, if the Company applies to have the Common Stock traded on any other Trading Market, it will then include in such application all of the New Warrant Shares, and will take such other action as is necessary to cause all of the New Warrant Shares to be listed or quoted on such other Trading Market as promptly as possible. The Company will then take all action reasonably necessary to continue the listing and trading of its Common Stock on a Trading Market and will comply in all respects with the Company’s reporting, filing and other obligations under the bylaws or rules of the Trading Market. The Company agrees to maintain the eligibility of the Common Stock for electronic transfer through the Depository Trust Company or another established clearing corporation, including, without limitation, by timely payment of fees to the Depository Trust Company or such other established clearing corporation in connection with such electronic transfer.

h)  Subsequent Equity Sales

(i)  From the date hereof until sixty (60) days after the Closing Date, neither the Company nor any Subsidiary shall (i) issue, enter into any agreement to issue or announce the issuance or proposed issuance of any shares of Common Stock or Common Stock Equivalents or (ii) file any registration statement or any amendment or supplement thereto, in each case other than as contemplated by this letter agreement and that certain securities purchase agreement, even dated herewith, between the Company and investor signatories thereto. Notwithstanding the foregoing, this Section (h)(i) shall not apply in respect of an Exempt Issuance. “Exempt Issuance” means the issuance of (a) shares of Common Stock or options or other equity awards to employees, officers, consultants, members of its scientific advisory board or directors of the Company pursuant to any stock or option plan duly adopted for such purpose, by a majority of the non-employee members of the Board of Directors or a majority of the members of a committee of non-employee directors established for such purpose for services rendered to the Company, (b) securities upon the exercise or exchange of or conversion of any securities of the Company issued hereunder and/or other securities exercisable or exchangeable for or convertible into shares of Common Stock issued and outstanding on the date hereof, provided that such securities have not been amended since the date of this letter agreement to increase the number of such securities or to decrease the exercise price, exchange price or conversion price of such securities (other than in connection with stock splits or combinations) or to extend the term of such securities, (c) securities issued pursuant to acquisitions or strategic transactions approved by a majority of the non-employee members of the Board of Directors, provided that such securities are issued as “restricted securities” (as defined in Rule 144) and carry no registration rights that require the filing of any registration statement in connection therewith during the prohibition period in Section (h)(i) herein and provided that any such issuance shall only be to a Person (or to the equityholders of a Person) which is, itself or through its subsidiaries, an operating company or an owner of an asset in a business synergistic with the business of the Company and shall provide to the Company additional benefits in addition to the investment of funds, but shall not include a transaction in which the Company is issuing securities primarily for the purpose of raising capital or to an entity whose primary business is investing in securities, and (d) any securities pursuant to transactions that qualify as “exempt issuances” that are as defined and permitted pursuant to any currently outstanding agreements of the Company. “Person” means an individual or corporation, partnership, trust, incorporated or unincorporated association, joint venture, limited liability company, joint stock company, government (or an agency or subdivision thereof) or other entity of any kind, for purposes of this Section (h)(i).

(ii)  From the date hereof until six (6) months following the Closing Date, the Company shall be prohibited from effecting or entering into an agreement to effect any issuance by the Company or any of its Subsidiaries of Common Stock or Common Stock Equivalents (or a combination of units thereof) involving a Variable Rate Transaction. “Variable Rate Transaction” means a transaction in which the Company (i) issues or sells any debt or equity securities that are convertible into, exchangeable or exercisable for, or include the right to receive additional shares of Common Stock either (A) at a conversion price, exercise price or exchange rate or other price that is based upon and/or varies with the trading prices of or quotations for the shares of Common Stock at any time after the initial issuance of such debt or equity securities, or (B) with a conversion, exercise or exchange price that is subject to being reset at some future date after the initial issuance of such debt or equity security or upon the occurrence of specified

or contingent events directly or indirectly related to the business of the Company or the market for the Common Stock or (ii) enters into, or effects a transaction under, any agreement, including, but not limited to, an equity line of credit, whereby the Company may issue securities at a future determined price; provided, however, that, after three (3) months following the Closing Date, the issuance of shares of Common Stock in an “at-the-market” facility shall not be deemed a Variable Rate Transaction. Any Purchaser shall be entitled to obtain injunctive relief against the Company to preclude any such issuance, which remedy shall be in addition to any right to collect damages.

i)  Form D; Blue Sky Filings. If required, the Company agrees to timely file a Form D with respect to the New Warrants and New Warrant Shares as required under Regulation D and to provide a copy thereof, promptly upon request of any Purchaser. The Company shall take such action as the Company shall reasonably determine is necessary in order to obtain an exemption for, or to qualify the New Warrants and New Warrant Shares for, sale to the Holder at Closing under applicable securities or “Blue Sky” laws of the states of the United States, and shall provide evidence of such actions promptly upon request of any Holder.

j)  Stockholder Meeting. The Company covenants that it shall use its reasonable best efforts to hold an annual or special meeting of stockholders on or prior to the date that is ninety (90) days following the date of this letter agreement for the purpose of obtaining Stockholder Approval, with the recommendation of the Company’s Board of Directors that proposals subject to Stockholder Approval are approved, and the Company shall solicit proxies from its stockholders in connection therewith in the same manner as all other management proposals in such proxy statement. If the Company does not obtain Stockholder Approval at the first meeting, the Company shall call a meeting every ninety (90) days thereafter to seek Stockholder Approval until the earlier of the date on which Stockholder Approval is obtained or the New Warrants are no longer outstanding. The Company shall enforce the terms of the Support Agreement and shall not amend or waive any provision of the Support Agreement. The Company shall inform the Holder of the occurrence of the Stockholder Approval within two (2) Business Day of such Stockholder Approval, it being understood that the filing of a Current Report on Form 8-K reporting the Stockholder Approval shall be deemed sufficient to inform the Holder in respect thereof.

Exhibit A

FORM OF NEW 5-YEAR WARRANT

(See attached)

Exhibit B

FORM OF NEW 12-MONTH WARRANT

(See attached)