Document:

Exhibit 10.5

 

PRIVATE PLACEMENT WARRANTS PURCHASE AGREEMENT

 

THIS PRIVATE PLACEMENT WARRANTS PURCHASE AGREEMENT,
dated as of January 5, 2021 (as it may from time to time be amended, this “Agreement”), is entered into by and
between Kairos Acquisition Corp., a Cayman Islands exempted company (the “Company”), and HS Chronos LLC, a Delaware
limited liability company (“HS Chronos”).

 

WHEREAS:

 

The Company intends to consummate an initial
public offering of the Company’s units (the “Public Offering”), each unit consisting of one Class A
ordinary share of the Company, par value $0.0001 per share (each, a “Share”), and one-half of one redeemable
warrant;

 

Each whole warrant entitles the holder to
purchase one Share at an exercise price of $11.50 per Share; and

 

HS Chronos has agreed to purchase, at an average
price of approximately $1.04 per warrant, an aggregate of 4,802,498 warrants (or up to 5,293,264 warrants if the over-allotment
option in connection with the Public Offering is exercised in full) (the “Private Placement Warrants”), each
Private Placement Warrant entitling the holder to purchase one Share at an exercise price of $11.50 per Share.

 

NOW THEREFORE, in consideration of the mutual
promises contained in this Agreement and other good and valuable consideration, the receipt and sufficiency of which are hereby
acknowledged, the parties to this Agreement hereby, intending legally to be bound, agree as follows:

 

AGREEMENT

 

Section 1.  Authorization, Purchase and Sale; Terms
of the Private Placement Warrants.

 

A.   Authorization
of the Private Placement Warrants.  The Company has duly authorized the issuance and sale of the Private Placement Warrants
to HS Chronos.

 

B.    Purchase and
Sale of the Private Placement Warrants.

 

(i)  Simultaneously with the consummation
of the Public Offering or on such earlier time and date as may be mutually agreed by HS Chronos and the Company (the “Initial
Closing Date”), the Company shall issue and sell to HS Chronos, and HS Chronos shall purchase from the Company, an aggregate
of 4,802,498 Private Placement Warrants (the “Initial Warrants”) at an average price of approximately $1.04
per warrant for an aggregate purchase price of $4,986,620 (the “Purchase Price”). If the shoe is exercised,
then HS Chronos shall purchase from the Company, an aggregate of 5,293,264 Private Placement Warrants (the “Initial Warrants”)
at an average price of approximately $1.04 per warrant for an aggregate purchase price of $5,478,451 (the “Purchase Price”).
HS Chronos shall pay the Purchase Price by wire transfer of immediately available funds to the trust account (the “Trust
Account”) maintained by Continental Stock Transfer & Trust Company, acting as trustee (“Continental”),
at least one (1) business day prior to the date of effectiveness (the “Effective Date”) of the registration
statement relating to the Public Offering (the “Registration Statement”).  On the Initial Closing Date,
upon the payment by HS Chronos of the Purchase Price, the Company, at its option, shall deliver a certificate evidencing the Private
Placement Warrants purchased on such date duly registered in HS Chronos’ name to HS Chronos or effect such delivery in book-entry
form. The Initial Warrants shall be allocated between HS Chronos as set forth on Schedule A hereto.

 

(ii)  Simultaneously with the
consummation of the closing of the over-allotment option in connection with the Public Offering (the “Over-Allotment
Option”) or on such earlier time and date as may be mutually agreed by HS Chronos and the Company (each such date,
an “Over-allotment Closing Date,” and each Over-allotment Closing Date (if any) and the Initial Closing
Date being sometimes referred to herein as a “Closing Date”), the Company shall issue and sell to HS
Chronos, and HS Chronos shall purchase from the Company, an aggregate of up to 490,766 Private Placement Warrants (the
 “Over-Allotment Warrants”) at an average price of $1.00 per warrant for an aggregate purchase price of up
to $491,831 (if the over-allotment option in connection with the Public Offering is exercised in full) (the
 “Over-allotment Purchase Price”), so that if the Over-Allotment Option is exercised in full, then HS
Chronos shall purchase from the Company, an aggregate of 5,293,264 Private Placement Warrants at an average price of
approximately $1.04 per warrant for an aggregate purchase price of $5,478,451. HS Chronos shall pay the Over-allotment
Purchase Price by wire transfer of immediately available funds to the Trust Account maintained by Continental at least one
(1) business day prior to the Over-allotment Closing Date.  On the Over-allotment Closing Date, upon the payment by
HS Chronos of the Over-allotment Purchase Price to the Company, the Company shall, at its option, deliver a certificate
evidencing the Private Placement Warrants purchased on such date duly registered in HS Chronos’ name to HS Chronos or
effect such delivery in book-entry form.

 

     

     

    

 

C.  Terms of the
Private Placement Warrants.

 

(i)  Each Private Placement Warrant
shall have the terms set forth in a Warrant Agreement to be entered into by the Company and a warrant agent, in connection with
the Public Offering (the “Warrant Agreement”).

 

(ii)  On the Effective Date, the Company
and HS Chronos shall enter into a registration rights agreement (the “Registration Rights Agreement”) pursuant
to which the Company will grant certain registration rights to HS Chronos relating to the Private Placement Warrants and the Shares
underlying the Private Placement Warrants.

 

(iii) The Private Placement Warrants
shall be terminated upon the dissolution of the Company or in the event that the Company does not consummate an initial business
combination within the time period set forth in the Company’s memorandum and articles of association, as the same may be
amended from time to time.

 

Section 2.  Representations and Warranties of the
Company.  As a material inducement to HS Chronos to enter into this Agreement and purchase the Private Placement Warrants,
the Company hereby represents and warrants to HS Chronos (which representations and warranties shall survive each Closing Date)
that:

 

A.  Incorporation
and Corporate Power.  The Company is an exempted company duly incorporated, validly existing and in good standing under
the laws of the Cayman Islands and is qualified to do business in every jurisdiction in which the failure to so qualify would reasonably
be expected to have a material adverse effect on the financial condition, operating results or assets of the Company.  The
Company possesses all requisite corporate power and authority necessary to carry out the transactions contemplated by this Agreement
and the Warrant Agreement.

 

B.  Authorization;
No Breach.

 

(i)  The execution, delivery and performance
of this Agreement and the Private Placement Warrants have been duly authorized by the Company as of the Closing Date.  This
Agreement constitutes the valid and binding obligation of the Company, enforceable in accordance with its terms.  Upon issuance
in accordance with, and payment pursuant to, the terms of the Warrant Agreement and this Agreement, the Private Placement Warrants
will constitute valid and binding obligations of the Company, enforceable in accordance with their terms as of the Closing Dates.

 

(ii)  The execution and delivery by
the Company of this Agreement and the Private Placement Warrants, the issuance and sale of the Private Placement Warrants, the
issuance of the Shares upon exercise of the Private Placement Warrants and the fulfillment, of and compliance with, the respective
terms hereof and thereof by the Company, do not and will not as of the Closing Dates (a) conflict with or result in a breach
of the terms, conditions or provisions of, (b) constitute a default under, (c) result in the creation of any lien, security
interest, charge or encumbrance upon the Company’s share capital or assets under, (d) result in a violation of, or (e) require
any authorization, consent, approval, exemption or other action by or notice or declaration to, or filing with, any court or administrative
or governmental body or agency pursuant to the memorandum and articles of association of the Company (in effect on the date hereof
or as may be amended prior to completion of the contemplated Public Offering), or any material law, statute, rule or regulation
to which the Company is subject, or any agreement, order, judgment or decree to which the Company is subject, except for any filings
required after the date hereof under federal or state securities laws.

 

     

     

    

 

C.  Title to Securities. 
Upon issuance in accordance with, and payment pursuant to, and registration in the register of members of the Company, the terms
hereof, the Warrant Agreement and the memorandum and articles of association of the Company, the Shares issuable upon exercise
of the Private Placement Warrants will be duly and validly issued as fully paid and nonassessable. On the date of issuance of the
Private Placement Warrants, the Shares issuable upon exercise of the Private Placement Warrants shall have been reserved for issuance.
Upon issuance in accordance with, and payment pursuant to, the terms hereof and the Warrant Agreement, HS Chronos will have good
title to the Private Placement Warrants and the Shares issuable upon exercise of such Private Placement Warrants, free and clear
of all liens, claims and encumbrances of any kind, other than (i) transfer restrictions hereunder and under the other agreements
contemplated hereby, (ii) transfer restrictions under federal and state securities laws, and (iii) liens, claims or encumbrances
imposed due to the actions of HS Chronos.

 

D.  Governmental
Consents.  No permit, consent, approval or authorization of, or declaration to or filing with, any governmental authority
is required in connection with the execution, delivery and performance by the Company of this Agreement or the consummation by
the Company of any other transactions contemplated hereby.

 

E. Regulation D Qualification.
Neither the Company nor, to its actual knowledge, any of its officers, directors or beneficial shareholders of 20% or more of its
outstanding securities, has experienced a disqualifying event as enumerated pursuant to Rule 506(d) of Regulation D under
the Securities Act of 1933, as amended (the “Securities Act”).

 

Section 3.  Representations and Warranties of HS
Chronos.  As a material inducement to the Company to enter into this Agreement and issue and sell the Private Placement
Warrants to HS Chronos, HS Chronos hereby represents and warrants to the Company, separately but not jointly, (which representations
and warranties shall survive each Closing Date) that:

 

A.  Organization
and Requisite Authority.  HS Chronos possesses all requisite power and authority necessary to carry out the transactions
contemplated by this Agreement.

 

B.  Authorization;
No Breach.

 

(i) This Agreement constitutes a valid
and binding obligation of HS Chronos, enforceable in accordance with its terms, subject to bankruptcy, insolvency, fraudulent conveyance,
reorganization, moratorium and other laws of general applicability relating to or affecting creditors’ rights and to general
equitable principles (whether considered in a proceeding in equity or law).

 

(ii) The execution and delivery by
HS Chronos of this Agreement and the fulfillment of and compliance with the terms hereof by HS Chronos do not and shall not as
of each Closing Date conflict with or result in a breach by HS Chronos of the terms, conditions or provisions of any agreement,
instrument, order, judgment or decree to which HS Chronos is subject.

 

C.  Investment Representations.

 

(i) HS Chronos is acquiring the Private
Placement Warrants and, upon exercise of the Private Placement Warrants, the Shares issuable upon such exercise (collectively,
the “Securities”), for HS Chronos’ own account, for investment purposes only and not with a view towards,
or for resale in connection with, any public sale or distribution thereof.

 

(ii) HS Chronos is an “accredited
investor” as such term is defined in Rule 501(a)(3) of Regulation D under the Securities Act and HS Chronos has
not experienced a disqualifying event as enumerated pursuant to Rule 506(d) of Regulation D under the Securities Act.

 

(iii) HS Chronos understands that
the Securities are being offered and will be sold to it in reliance on specific exemptions from the registration requirements
of the United States federal and state securities laws and that the Company is relying upon the truth and accuracy of, and HS
Chronos’ compliance with, the representations and warranties of HS Chronos set forth herein in order to determine the
availability of such exemptions and the eligibility of HS Chronos to acquire such Securities.

 

     

     

    

 

(iv) HS Chronos decided to enter into
this Agreement not as a result of any general solicitation or general advertising within the meaning of Rule 502(c) under
the Securities Act.

 

(v) HS Chronos has been furnished with
all materials relating to the business, finances and operations of the Company and materials relating to the offer and sale of
the Securities which have been requested by HS Chronos.  HS Chronos has been afforded the opportunity to ask questions of
the executive officers and directors of the Company.  HS Chronos understands that its investment in the Securities involves
a high degree of risk and it has sought such accounting, legal and tax advice as it has considered necessary to make an informed
investment decision with respect to the acquisition of the Securities.

 

(vi) HS Chronos understands that no
United States federal or state agency or any other government or governmental agency has passed on or made any recommendation or
endorsement of the Securities or the fairness or suitability of the investment in the Securities by HS Chronos nor have such authorities
passed upon or endorsed the merits of the offering of the Securities.

 

(vii) HS Chronos understands that:
(a) the Securities have not been and are not being registered under the Securities Act or any state securities laws, and may
not be offered for sale, sold, assigned or transferred unless (1) subsequently registered thereunder or (2) sold in reliance
on an exemption therefrom; and (b) except as specifically set forth in the Registration Rights Agreement, neither the Company
nor any other person is under any obligation to register the Securities under the Securities Act or any state securities laws or
to comply with the terms and conditions of any exemption thereunder.  The Private Placement Warrants will bear a legend and
appropriate “stop transfer” instructions (or an appropriate notation if the warrants are issued in book entry form)
relating to the foregoing. HS Chronos further understands that the Securities and Exchange Commission (the “SEC”)
has taken the position that promoters or affiliates of a blank check company and their transferees, both before and after an initial
business combination, are deemed to be “underwriters” under the Securities Act when reselling the securities of a blank
check company.  Based on that position, Rule 144 adopted pursuant to the Securities Act would not be available for resale
transactions of the Securities until the one-year anniversary following consummation of an initial business combination despite
technical compliance with the requirements of such Rule.

 

(viii) HS Chronos has such knowledge
and experience in financial and business matters, knows of the high degree of risk associated with investments in the securities
of companies in the development stage such as the Company, is capable of evaluating the merits and risks of an investment in the
Securities and is able to bear the economic risk of an investment in the Securities in the amount contemplated hereunder for an
indefinite period of time.  HS Chronos has adequate means of providing for its current financial needs and contingencies and
will have no current or anticipated future needs for liquidity which would be jeopardized by the investment in the Securities. 
HS Chronos can afford a complete loss of its investment in the Securities.

 

Section 4.  Conditions of HS Chronos’ Obligations. 
The obligations of HS Chronos to purchase and pay for the Private Placement Warrants are subject to the fulfillment, on or before
each Closing Date, of each of the following conditions:

 

A. Representations and
Warranties.  The representations and warranties of the Company contained in Section 2 shall be true and correct at
and as of such Closing Date as though then made.

 

B. Performance. 
The Company shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that
are required to be performed or complied with by it on or before such Closing Date.

 

C. No Injunction. 
No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered, promulgated
or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having authority
over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement
or the Warrant Agreement.

 

     

     

    

 

D. Warrant Agreement
and Registration Rights Agreement.  The Company shall have entered into the Warrant Agreement with a warrant agent and
a registration rights agreement, in each case on terms satisfactory to HS Chronos.

 

E. Corporate Consents.
The Company shall have obtained the consent of its Board of Directors authorizing the execution, delivery and performance of this
Agreement and the Warrant Agreement and the issuance and sale of the Private Placement Warrants.

 

Section 5.  Conditions of the Company’s Obligations. 
The obligations of the Company to HS Chronos under this Agreement are subject to the fulfillment, on or before each Closing Date,
of each of the following conditions:

 

A.  Representations
and Warranties.  The representations and warranties of HS Chronos contained in Section 3 shall be true and correct
at and as of such Closing Date as though then made.

 

B.  Performance. 
HS Chronos shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that are
required to be performed or complied with by HS Chronos on or before such Closing Date.

 

C.  No Injunction. 
No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered, promulgated
or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having authority
over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement
or the Warrant Agreement.

 

D.  Warrant Agreement
and Registration Rights Agreement.  The Company shall have entered into the Warrant Agreement with a warrant agent, and
a registration rights agreement, in each case on terms satisfactory to the Company.

 

Section 6.  Termination.  This Agreement
may be terminated at any time after June 30, 2021 upon the election by either the Company or HS Chronos solely as to itself
upon written notice to the other party if the closing of the Public Offering does not occur prior to such date.

 

Section 7.  Survival of Representations and Warranties. 
All of the representations and warranties contained herein shall survive each Closing Date.

 

Section 8.  Definitions.  Terms used but
not otherwise defined in this Agreement shall have the meaning assigned to such terms in the Registration Statement.

 

Section 9.  Miscellaneous.

 

A.  Successors and
Assigns.  Except as otherwise expressly provided herein, all covenants and agreements contained in this Agreement by or
on behalf of any of the parties hereto shall bind and inure to the benefit of the respective successors of the parties hereto whether
so expressed or not.  Notwithstanding the foregoing or anything to the contrary herein, the parties may not assign this Agreement
without the prior written consent of the other parties hereto, other than assignments by HS Chronos to affiliates thereof.

 

B.  Severability. 
Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid under applicable
law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision shall be
ineffective only to the extent of such prohibition or invalidity, without invalidating the remainder of this Agreement.

 

C.  Counterparts. 
This Agreement may be executed simultaneously in two or more counterparts, none of which need contain the signatures of more than
one party, but all such counterparts taken together shall constitute one and the same agreement.

 

     

     

    

 

D.  Descriptive
Headings; Interpretation.  The descriptive headings of this Agreement are inserted for convenience only and do not constitute
a substantive part of this Agreement.  The use of the word “including” in this Agreement shall be by way
of example rather than by limitation.

 

E.  Governing Law. 
This Agreement shall be deemed to be a contract made under the laws of the State of New York and for all purposes shall be construed
in accordance with the internal laws of the State of New York, without regard to the conflicts of laws principles thereof.

 

F.  Amendments. 
This Agreement may not be amended, modified or waived as to any particular provision, except by a written instrument executed by
all parties hereto.

 

[Signature page follows]

 

     

     

    

 

IN WITNESS WHEREOF, the parties hereto
have executed this Agreement to be effective as of the date first set forth above.

 

	 	KAIROS ACQUISITION CORP.
	 	 
	 	By:	/s/Peter Bang 
	 	 	Name:	Peter Bang
	 	 	Title:	Chief Executive Officer
	 	 
	 	HS CHRONOS LLC
	 	 
	 	By:	 /s/Vikas Singhal
	 	 	Name:	 Vikas Singhal
	 	 	Title:	 Partner

 

[Signature page to Private Placement
Warrants Purchase Agreement]Exhibit 10.6

 

KAIROS ACQUISITION CORP.

 

c/o Ellenoff Grossman & Schole
LLP

1345 Avenue of the Americas

New York, NY 10105

 

January 5, 2021

 

KAIROS ALPHA ACQUISITION LLC

50 Washington Street, Suite 921

Norwalk, CT 06854

 

Re: Administrative Services Agreement

 

Ladies and Gentlemen:

 

This letter agreement
by and between Kairos Acquisition Corp., a Cayman Islands exempted company (the “Company”), and Kairos Alpha Acquisition
LLC, dated as of the date hereof, will confirm our agreement that, commencing on the date the securities of the Company are first
listed on the Nasdaq Capital Market (the “Listing Date”), pursuant to a Registration Statement on Form S-1 and
prospectus filed with the Securities and Exchange Commission (the “Registration Statement”) and continuing until the
earlier of the consummation by the Company of an initial business combination or the Company’s liquidation (in each case
as described in the Registration Statement) (such earlier date hereinafter referred to as the “Termination Date”):

 

(i) Kairos
Alpha Acquisition LLC, the Company’s sponsor, shall make available, or cause to be made available, to the Company, at 1345
Avenue of the Americas, New York, NY 10105 (or any successor location of Kairos Alpha Acquisition LLC), office space and administrative
and support services, and the services of Jerry de St. Paer. In exchange therefor, the Company shall pay Kairos Alpha Acquisition
LLC the sum of $20,000 per month (of which $10,000 shall be payable to Mr. de St. Paer on the Listing Date and continuing
monthly thereafter until the Termination Date; and

 

(ii)  Kairos
Alpha Acquisition LLC hereby irrevocably waives any and all right, title, interest, causes of action and claims of any kind as
a result of, or arising out of, this letter agreement (each, a “Claim”) in or to, and any and all right to seek payment
of any amounts due to it out of, the trust account established for the benefit of the public shareholders of the Company and into
which substantially all of the proceeds of the Company’s initial public offering will be deposited (the “Trust Account”),
and hereby irrevocably waives any Claim it may have in the future, which Claim would reduce, encumber or otherwise adversely affect
the Trust Account or any monies or other assets in the Trust Account, and further agrees not to seek recourse, reimbursement,
payment or satisfaction of any Claim against the Trust Account or any monies or other assets in the Trust Account for any reason
whatsoever.

 

This
letter agreement constitutes the entire agreement and understanding of the parties hereto in respect of its subject matter and
supersedes all prior understandings, agreements, or representations by or among the parties hereto, written or oral, to the extent
they relate in any way to the subject matter hereof or the transactions contemplated hereby.

 

This letter agreement
may not be amended, modified or waived as to any particular provision, except by a written instrument executed by the parties hereto.

 

No party hereto may
assign either this letter agreement or any of its rights, interests, or obligations hereunder without the prior written approval
of the other party. Any purported assignment in violation of this paragraph shall be void and ineffectual and shall not operate
to transfer or assign any interest or title to the purported assignee.

 

     

     

    

 

This letter agreement
constitutes the entire relationship of the parties hereto, and any litigation between the parties (whether grounded in contract,
tort, statute, law or equity) shall be governed by, construed in accordance with, and interpreted pursuant to the laws of the State
of New York, without giving effect to its choice of laws principles.

 

This letter agreement
may be executed in one or more counterparts, each of which shall for all purposes be deemed to be an original but all of which
together shall constitute one and the same letter agreement.

 

[Signature Page Follows]

 

     

     

    

 

	 	Very truly yours,
	 	 
	 	KAIROS ACQUISITION CORP.
	 	 	 
	 	By:   	/s/
Peter Bang
	 	 	Name:    	Peter Bang
	 	 	Title:	Chief Executive Officer

 

	AGREED TO AND ACCEPTED BY:	 
	 	 
	KAIROS ALPHA ACQUISITION LLC	 
	 	 	 	 
	By:   	/s/
Peter Bang	 
	 	Name:   	 Peter Bang	 
	 	Title:	 Managing Member	 

 

[Signature Page to Administrative Services
Agreement]

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