ONE N. WACKER DRIVE, SUITE 3500 CHICAGO, IL 60606 P) 312 ###-###-#### WWW.STERNEAGEE.COM Investments since 1901

Exhibit 1.1

September 11, 2014

Ben Franklin Financial, Inc.

830 E. Kensington Road

Arlington Heights, IL 60004

Attention: C. Steven Sjogren

                  Chairman & Chief Executive Officer

Ladies and Gentlemen:

The purpose of this letter agreement (the “Agreement”) is to confirm the engagement of Sterne, Agee & Leach, Inc. (“Sterne Agee”) to act as the exclusive financial advisor to Ben Franklin Financial (“MHC”), Ben Franklin Financial, Inc. (“BFFI”) and Ben Franklin Bank of Illinois (the “Bank”) in connection with the MHC’s reorganization from a mutual holding company form of organization to a stock holding company form of organization (the “Reorganization”). In order to effect the Reorganization, it is contemplated that all of BFFI’s common stock to be outstanding after giving effect to the Reorganization will be issued to a newly formed stock holding company (“NewCo” and, together with MHC, BFFI and the Bank, the “Company”) to be formed by BFFI, and that NewCo will offer and sell shares of its common stock first to eligible persons pursuant to a Plan of Conversion and Reorganization (the “Plan”) in a Subscription Offering (the “Subscription Offering”) and any remaining shares to the general public in a Direct Community Offering and/or a Syndicated Community Offering (the “Community Offering” and, together with the Subscription Offering, the “Offering”). This letter sets forth the terms and conditions agreed to between the Company and Sterne Agee with respect to the Reorganization, the Plan and the Offering.

As the Company’s financial advisor, Sterne Agee will provide financial advice to the Company and will assist the Company in connection with the Reorganization, the Plan, the Offering and related matters. In this regard, Sterne Agee’s services will include the following:

ONE N. WACKER DRIVE, SUITE 3500 Ÿ CHICAGO, IL 60606

P) 312 ###-###-#### Ÿ WWW.STERNEAGEE.COM

Investments since 1901

In connection with the Offering, the Company agrees that Sterne Agee will also serve as Records Agent for the Company. As Records Agent, and as the Bank may reasonably request, Sterne Agee will provide the following services:

The Company acknowledges and agrees that, as Records Agent hereunder, Sterne Agee (a) shall have no duties or obligations other than those specifically set forth herein; (b) shall be regarded as making no representations and having no responsibilities as to the validity, sufficiency, value or genuineness of any order form or any stock certificates or the shares represented thereby, and shall not be required to and shall make no representations as to the validity, value or genuineness of the offer; (c) shall not be liable to any person, firm or corporation including the Company by reason of any error of judgment or for any act done by it in good faith, or for any mistake of law or fact in connection with this Agreement and the performance hereof unless caused by or arising out of its own willful misconduct, bad faith or gross negligence; (d) shall not be obliged to take any legal action hereunder which might in its judgment involve any expense or liability, unless it shall have been furnished with reasonable indemnity satisfactory to it; and (e) may rely on and shall be protected in acting in reliance upon any certificate, instrument, opinion, notice, letter, telex, telegram, or other document or security delivered to it and in good faith believed by it to be genuine and to have been signed by the proper party or parties.

The Company agrees to compensate Sterne Agee for its services hereunder as follows:

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The Company will pay all of its fees, disbursements and expenses in connection with the Offering customarily borne by issuers, including without limitation, (a) the cost of obtaining all securities and bank regulatory approvals, including any required Securities and Exchange Commission (“SEC”) or Financial Industry Regulatory Authority (“FINRA”) filing fees; (b) the cost of printing and distributing the offering materials; (c) the costs of blue sky qualification (including fees and expenses of blue sky counsel) of the shares in the various states; (d) listing fees; (e) all fees and disbursements of the Company’s counsel, accountants and other advisors; (f) the establishment and operational expenses for the Stock Information Center and (g) Syndicated Community Offering expenses associated with the Offering. In the event Sterne Agee incurs any such fees and expenses on behalf of the Company, the Company will reimburse Sterne Agee for such fees and expenses whether or not the Offering is consummated.

In addition, whether or not the proposed Offering is consummated and in addition to any fees payable to Sterne Agee pursuant to Section 3 above, the Company will reimburse Sterne Agee for all of its reasonable out-of-pocket expenses incurred in connection with, or arising out of, Sterne Agee’s activities under, or contemplated by, its engagement hereunder, including without limitation Sterne Agee’s travel costs, meals and lodging, photocopying, data processing fees and expenses, advertising and communications expenses, which will not exceed $5,000. In addition, Sterne Agee will be reimbursed for

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its legal fees (excluding the reasonable out-of-pocket expenses of counsel) which will not exceed $75,000. These expenses assume no unusual circumstances or delays, or a re-solicitation in connection with the Offerings. Sterne Agee and the Company acknowledge that such expense cap may be increased by an additional amount not to exceed $30,000 by mutual consent, including in the event of a material delay of the Offering which would require an update of the financial information in tabular form to reflect a period later than set forth in the original filing of the offering document. All expense reimbursements to be made to Sterne Agee hereunder shall be made by the Company promptly upon submission by Sterne Agee to the Company of statements therefore.

In connection with the Offering:

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In consideration of Sterne Agee’s agreement to act on behalf of the Company in connection with the matters contemplated by this Agreement, except as otherwise provided herein, the Company agrees to indemnify and hold harmless Sterne Agee and its affiliates and its and their respective officers, directors, employees and agents and each other person, if any, controlling Sterne Agee or any of its affiliates (Sterne Agee and each such other person being an “Indemnified Person”) from and against any losses, claims, damages or liabilities reasonably related to, arising out of or in connection with, the engagement hereunder, and will reimburse each Indemnified Person for all costs and expenses (including reasonable fees and expenses of counsel) as they are incurred, in connection with investigating, preparing, pursuing or defending any action, claim, suit, investigation, inquiry or proceeding related to, arising out of or in connection with the engagement hereunder, whether in process, pending, or threatened, and whether or not any Indemnified Person is a party. The Company will not, however, be responsible for losses, claims, damages or liabilities (or fees and expenses relating thereto) that are finally judicially determined to have resulted from the bad faith, willful misconduct or gross negligence of any Indemnified Person, in which case Sterne Agee shall also repay any amounts reimbursed by the Company pursuant to the expense reimbursement provision above. The Company also agrees that no Indemnified Person shall have any liability (whether direct or indirect, in contract or tort or otherwise) to the Company for or in connection with the engagement hereunder, except for any such liability for losses, claims, damages or liabilities incurred by the Company that are finally judicially determined to have resulted solely from the bad faith, willful misconduct or gross negligence of such Indemnified Person.

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The Company will not, without Sterne Agee’s prior written consent, settle, compromise, consent to the entry of any judgment in or otherwise seek to terminate any action, claim, suit or proceeding in respect of which indemnification may be sought hereunder (whether or not any Indemnified Person is a party thereto) unless such settlement, compromise, consent or termination does not include a statement or acknowledgment as to, or an admission of, fault, culpability or failure to act by or on behalf of any indemnified party. No Indemnified Person seeking indemnification, reimbursement or contribution under this Agreement will, without the Company’s prior written consent, which consent may not be unreasonably withheld, settle, compromise, consent to the entry of any judgment in or otherwise seek to terminate any action, claim, suit, investigation or proceeding referred to in the preceding paragraph. Sterne Agee will not enter into any settlement for which the Company could be liable without the Company’s prior written consent, not to be unreasonably withheld or delayed.

If the indemnification provided for in this Section 6 is judicially determined to be unavailable (other than in accordance with the second sentence of the first paragraph hereof) to an Indemnified Person in respect of any losses, claims, damages or liabilities referred to herein, then, in lieu of indemnifying such Indemnified Person hereunder, the Company shall contribute to the amount paid or payable by such Indemnified Person as a result of such losses, claims, damages or liabilities (and expenses relating thereto) (i) in such proportion as is appropriate to reflect the relative benefits to Sterne Agee, on the one hand, and the Company, on the other hand, of this Agreement or (ii) if the allocation provided by clause (i) above is not available, in such proportion as is appropriate to reflect not only the relative benefits referred to in such clause (i) but also the relative fault of each of Sterne Agee, on the one hand, and the Company, on the other hand, as well as any other relevant equitable considerations; provided, however, in no event shall Sterne Agee’s aggregate contribution to the amount paid or payable exceed the aggregate amount of fees actually received by Sterne Agee under this Agreement. For the purposes of this Agreement, the relative benefits to the Company and Sterne Agee hereunder shall be deemed to be in the same proportion as (a) the total consideration received or contemplated to be received by the Company in the Offering, whether or not the Offering is consummated, bears to (b) the fees paid to Sterne Agee in connection with the Offering. No person guilty of fraudulent misrepresentation (within the meaning of Section 11(f) of the Securities Act of 1933, as amended) shall be entitled to contribution from any person who was not guilty of such fraudulent misrepresentation.

Sterne Agee may, at its own expense, place announcements or advertisements, in form customary in the industry, in financial and other newspapers, periodicals and websites describing its services to the Company hereunder.

This Agreement does not create, and will not be construed as creating, rights enforceable by any person or entity not a party hereto, except those entitled thereto by virtue of Section 6. The Company acknowledges and agrees that (a) Sterne Agee will act hereunder as an independent contractor and is being retained to assist the Company in its efforts to effect the Offering and not to advise the Company on, or to express any opinion as to, the wisdom, desirability or prudence of consummating the Offering, (b) Sterne Agee is not and will not be construed as a fiduciary of the Company or any of its subsidiaries or their respective affiliates and will have no duties or liabilities to the equityholders or creditors of the Company or to any other person or entity by virtue of this Agreement and the retention of Sterne Agee hereunder, all of which duties and liabilities are hereby expressly waived, and (c) nothing contained

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herein shall be construed to obligate Sterne Agee to purchase, as principal, any of the Securities offered for sale by the Company in the Offering. Neither equityholders nor creditors of the Company or any of its subsidiaries or of any of their respective affiliates are intended beneficiaries hereunder. The Company confirms that it and its subsidiaries and their respective affiliates will rely on their own counsel, accountants and other similar expert advisors for legal, accounting, tax and other similar advice.

Except as contemplated in connection with the performance of its services under this Agreement, as authorized by the Company or as required by law, regulation or legal process, Sterne Agee agrees that it will treat as confidential all material, non-public information relating to the Company obtained in connection with its engagement hereunder (the “Confidential Information”); provided, however, that Sterne Agee may disclose such information to its agents and advisors who are assisting or advising Sterne Agee in performing its services hereunder and who have agreed to be bound by the terms and conditions of this paragraph. As used in this paragraph, the term “Confidential Information” shall not include information which (a) is or becomes generally available to the public other than as a result of a disclosure by Sterne Agee, (b) was available to Sterne Agee on a non-confidential basis prior to its disclosure to Sterne Agee by the Company, or (c) becomes available to Sterne Agee on a non-confidential basis from a person other than the Company who is not otherwise known to Sterne Agee to be bound not to disclose such information pursuant to a contractual, legal or fiduciary obligation.

This Agreement reflects Sterne Agee’s present intention of proceeding to work with the Company on its proposed Offering. No legal and binding obligation is created on the part of the Company or Sterne Agee with respect to the subject matter hereof, except as to (i) the agreement to maintain the confidentiality of Confidential Information set forth in Section 9, (ii) the payment of certain fees as set forth in Section 3, (iii) the payment of expenses as set forth in Section 4, (iv) the representations set forth in Section 5, (v) the indemnification and contribution provisions set forth in Section 6 and (iv) those terms set forth in a mutually agreed upon Agency Agreement between Sterne Agee and the Company to be executed prior to commencement of the Offering, all of which shall constitute the binding obligations of the parties hereto and which shall survive the termination of this Agreement or the completion of the services furnished hereunder and shall remain operative and in full force and effect.

Sterne Agee’s execution of such Agency Agreement shall also be subject to (a) the satisfactory completion of Sterne Agee’s Due Diligence Review, (b) the preparation of Offering materials that are satisfactory to Sterne Agee, (c) compliance with all relevant legal and regulatory requirements to the reasonable satisfaction of Sterne Agee and its counsel, (d) receipt of internal approvals, (e) agreement that the price established by the independent appraiser for the Offering is reasonable under market conditions at the time of the proposed Offering, and (f) satisfactory market conditions at the time of the proposed Offering.

It is understood and agreed that Sterne Agee may, from time to time, make a market in, have a long or short position, buy and sell or otherwise effect transactions for customer accounts and for their own accounts in the securities of, or perform investment banking or other services for, the Company and other entities which are or may be the subject of the engagement contemplated by this Agreement. This is to confirm that possible investors identified or contacted by Sterne Agee in connection with the Offering could include entities in respect of which Sterne Agee may have rendered or may in the future render services.

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Neither party hereto may assign, in whole or in part, this Agreement or any rights or obligations hereunder, without the prior written consent of the other party hereto. Any attempted assignment in violation of this section shall be void.

This Agreement shall be governed as to validity, interpretation, construction, effect and in all other respects by the internal laws of the State of New York without giving effect to its conflicts of laws principles or rules. Each of Sterne Agee and the Company agrees that any dispute arising out of or relating to this Agreement and/or the transactions contemplated hereby or thereby, including, without limitation, any such dispute between the Company and any present or former officer, director, employee or agent of Sterne Agee, each of whom is intended to be a third-party beneficiary of the agreement contained in this paragraph, shall be resolved through litigation in the federal court located in the Borough of Manhattan, New York or, in the event such court lacks subject matter jurisdiction, in the state court located there, and the parties hereby irrevocably consent to personal jurisdiction in the courts thereto. Parties hereby waive, to the fullest extent permitted by applicable law, any right to trial by jury with respect to any action or proceeding arising out of or related to this Agreement.

For the convenience of the parties, Agreement may be executed in counterparts, each of which shall be, and shall be deemed to be, an original instrument and which, when taken together, shall constitute one and the same agreement.

All notices, requests, demands, claims, and other communications hereunder will be in writing. Any notice, request, demand, claim or other communication if addressed to the intended recipient as set forth below shall be deemed to be duly given either when personally delivered or two days after it is sent by registered or certified mail, return receipt requested, postage prepaid, or one day after it is delivered to a commercial overnight courier for next day delivery, or upon confirmation if delivered by facsimile:

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Any party may give any notice, request, demand, claim, or other communication hereunder using any other means, but no such notice, request, demand, claim, or other communication shall be deemed to have been duly given unless and until it is actually received by the party for whom it is intended. Any party may change the address to which such notices, requests, demands, claims, or other communications are to be delivered by giving the other parties notice in the manner herein set forth.

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This Agreement (a) may only be modified or amended in a writing executed by the Company and Sterne Agee, (b) contains the entire agreement between the Company and Sterne Agee with respect to the subject matter hereof and thereof and (c) supersedes any and all prior or contemporaneous arrangements, understandings and agreements, written or oral, between the Company and Sterne Agee relating to the subject matter hereof and thereof.

If the foregoing correctly sets forth our agreement, please so indicate by signing a copy of this Agreement and returning them, together with a check made payable to Sterne, Agee & Leach, Inc. in the amount of $17,500 in accordance with Sections 3(a) and (d) above, to Robert A. Kotecki at One N. Wacker Drive, Suite 3500, Chicago, IL 60606. We look forward to working with you towards the successful conclusion of this engagement and continuing to develop our long-term relationship with the Company.

ACCEPTED and AGREED as of the 11 day of September, 2014.

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