Document:

Exhibit 10.2

EXHIBIT 10.2

RESOLUTION ADOPTED BY

GEORGIA-CAROLINA BANCSHARES, INC.

July 26, 2010

The following resolution is hereby unanimously adopted pertaining to the definition of the
fair value of the Company’s common stock for purposes of granting shares to eligible directors,
officers and key employees under the 1997 Stock Option Plan. This resolution results in
establishing a consistent definition of the fair value of the common stock as in the 2004 Incentive
Plan as amended per Board approval on April 26, 2010.

Presently, for purposes of grants under the 1997 Stock Option Plan, fair market price of the common
stock is defined as follows in Section 1(g) of the Plan:

“Market Price” shall mean the fair market value of the Company’s Common Stock as
determined by the Board of Directors or Committee, acting in good faith, under any
method consistent with the Code, or Treasury Regulations thereunder, which the Board
of Directors or the Committee shall in its discretion select and apply at the time of the
grant of the option concerned. Subject to the foregoing, the Board of Directors or
Committee, in fixing the market price, shall have full authority and discretion and be
Fully protected in doing so.

The new definition of the fair market value of the stock under the 1997 Option Plan is deemed to be
as follows:

BE
IT RESOLVED, “Fair Market Value” shall mean, as applicable, (i) the average closing price
of the Corporation’s common stock quoted on the Over-the-Counter Bulletin Board (or other national
quotation service) for the ten business days prior to the date of Board approval and grant. If the
Corporation’s shares of common stock are not traded on the Over-the-Counter Bulletin Board or
through any nationally recognized quotation service, the fair market value of the Corporation’s
common stock shall be determined by the Board, acting in good faith, under any method consistent
with the Code, or Treasury Regulations thereunder, as the Board shall in its discretion select and
apply at the time of the grant of the award concerned. Subject to the foregoing, the Board, in
fixing the Fair Market Value, shall have full authority and discretion and be fully protected in
doing so.exv10w1

Exhibit 10.1

WARRANT REPURCHASE AGREEMENT

          This WARRANT REPURCHASE AGREEMENT (this “Agreement”) is entered into as of August 13,
2010, by and between Allied World Assurance Company Holdings, Ltd, a company organized and existing
under the laws of Bermuda (the “Company”), and The Chubb Corporation, a New Jersey
corporation (“Seller”).

R E C I T A L S:

          WHEREAS, Seller owns a warrant (the “Warrant”) that was originally issued by the
Company to Seller on November 21, 2001, entitling Seller to purchase a total of 2,000,000 common
shares, par value $0.03 per share, of the Company (the “Warrant Shares”) (such number
reflects a 1 for 3 reverse stock split effected on July 7, 2006 (the “Stock Combination”)),
and which currently has an exercise price of $34.20 (such price reflects the Stock Combination) for
each Warrant Share purchased upon exercise; and

          WHEREAS, on the terms and subject to the conditions of this Agreement, the Company desires to
repurchase from Seller the Warrant, and Seller desires to have repurchased by the Company the
Warrant, for the consideration set forth below.

          NOW, THEREFORE, in consideration of the representations, warranties, covenants and agreements
herein contained, and intending to be legally bound hereby, the Company and Seller hereby agree as
follows:

Article I.

REPURCHASE OF THE WARRANT

     1.1. Repurchase. At the Closing (as hereinafter defined), upon the terms and subject
to the conditions of this Agreement, Seller will sell, transfer, convey, assign and deliver to the
Company, and the Company will purchase, acquire and accept from Seller, the Warrant, free and clear
of any and all Liens (as hereinafter defined). Seller acknowledges and agrees that, at the
Closing, (i) the Warrant shall be cancelled immediately (and, for the avoidance of doubt, Seller
shall have no further rights under and shall not be able to exercise the Warrant, which shall be
deemed cancelled) and (ii) Seller shall cease to be a party to, and shall no longer have any rights
under, the Registration Rights Agreement, dated as of July 17, 2006, by and among the Company, the
Seller and certain other shareholders of the Company (the “Registration Rights Agreement”).

     1.2. Closing. The closing of the repurchase of the Warrant under this Agreement (the
“Closing”) shall take place simultaneously with the signing of this Agreement at the
offices of Willkie Farr & Gallagher LLP, 787 Seventh Avenue, New York, NY. At the Closing, (i) the
Company shall pay to Seller for the Warrant, an amount equal to the product of (a) 2,000,000
multiplied by (b) the difference between (x) U.S. $50.6095 and (y) U.S. $34.2000, or THIRTY-TWO
MILLION EIGHT HUNDRED NINETEEN THOUSAND DOLLARS ($32,819,000.00) (the “Sale Price”), by
wire transfer of immediately available funds to the account specified in writing in Schedule
1.2 hereto (the “Seller’s Account”) and (ii) upon receipt of confirmation that the Sale
Price is in the Seller’s Account, Seller shall deliver to the Company for cancellation the

 

 

original certificate representing the Warrant being purchased hereunder duly endorsed for
transfer or accompanied by an appropriate transfer instrument duly executed in blank. The Company
and Seller hereby agree that the repurchase of the Warrant by the Company in accordance with the
terms of this Agreement fully complies with the transfer provisions of the Warrant, to the extent
applicable.

     1.3 Transfer Taxes. Seller will pay, and will indemnify and hold harmless the Company
from and against, any and all stamp taxes, stock transfer taxes or other similar taxes, and any and
all penalties, additions to tax and interest attributable to any such taxes, imposed on the
repurchase of the Warrant (collectively, “Transfer Taxes”), and any and all costs and
expenses with respect to the Transfer Taxes. Seller will prepare and timely file all necessary tax
returns and other documentation with respect to the Transfer Taxes and shall timely pay the
Transfer Taxes to the applicable taxing authorities.

Article II.

REPRESENTATIONS AND WARRANTIES OF THE COMPANY

          As of the date hereof, the Company represents and warrants to Seller as follows:

     2.1. Organization. The Company is an exempted company duly organized, validly
existing and in good standing under the laws of Bermuda.

     2.2. Authorization. The Company has the absolute and unrestricted right, power,
capacity (legal or otherwise) to execute and deliver this Agreement and to consummate the
transactions contemplated hereby. The execution and delivery of this Agreement and the
consummation of the transactions contemplated hereby have been duly and validly authorized by all
necessary corporate action by the Company and no other corporate actions on the part of the Company
are necessary to authorize this Agreement or to consummate the transactions contemplated hereby.

     2.3. Validity. This Agreement has been duly and validly executed by the Company and
constitutes a valid and binding obligation of the Company, enforceable against the Company in
accordance with its terms.

     2.4. No Violation. The execution, delivery and performance by the Company of this
Agreement do not, and the consummation by the Company of the transactions contemplated hereby will
not, (i) violate or conflict with any provision of the Company’s memorandum of association or
bye-laws (the “Organizational Documents”); (ii) violate any provision of any statute, law,
code, ordinance, treaty, policy, judgment, order, injunction, decree, rule, consent, writ,
determination, arbitration award, rule or regulation (collectively, “Laws”) of or by any
federal, state, foreign or other governmental or public body, agency or authority, or subdivision
thereof, instrumentality, subdivision, court, administrative agency, commission, official or other
authority of the United States, Bermuda or any other country or any state, province, prefect,
municipality, locality or other government or political subdivision thereof, or any
quasi-governmental or private body exercising any regulatory, taxing, importing or other
governmental or quasi-governmental authority (collectively, “Governmental or Regulatory
Entity”), applicable

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to the Company or any of its properties or assets; or (iii) violate, conflict with, result in
a breach of or the loss of any benefit under, constitute (with due notice or lapse of time or both)
a default under, result in the termination of or a right of termination or cancellation under,
accelerate the performance required by or rights or obligations under, any of the terms, conditions
or provisions of any contract, note, bond, lease, loan agreement, mortgage, security agreement,
indenture, deed or trust, license, agreement or instrument to which the Company is a party or by
which it is bound or to which any of its properties, assets or business is subject.

     2.5. Approvals or Consents. No consents, authorizations, waivers, filings,
registrations or approvals are required in connection with the execution and delivery of this
Agreement by the Company, the consummation of the transactions contemplated hereby or the
performance by the Company of its obligations hereunder.

     2.6. Disclosure. None of the officers of the Company identified on Schedule
2.6 hereto believes that he or she is in possession of any material non-public information
about the Company which has not otherwise been disclosed to Seller.

Article III.

REPRESENTATIONS AND WARRANTIES OF SELLER

          As of the date hereof, Seller represents, warrants and agrees with the Company as follows:

     3.1. Organization. Seller is duly organized, validly existing, and in good standing
under the laws of the State of New Jersey.

     3.2. Ownership of Warrant. Seller is the sole record, legal and beneficial owner of
the Warrant. The Warrant has not been exercised, in whole or in part. There are no (a) securities
convertible into or exchangeable for the Warrant (other than pursuant to the exercise of the
Warrant itself) or any of the Warrant Shares; (b) options, warrants or other rights to purchase or
subscribe for the Warrant or any of the Warrant Shares; or (c) contracts, commitments, agreements,
understandings or arrangements of any kind (contingent or otherwise) relating to the issuance, sale
or transfer of the Warrant or any of the Warrant Shares, other than the Registration Rights
Agreement.

     3.3. Title. Seller has, and the Company will receive, good and marketable title to
the Warrant, free and clear of any and all liens, security interests, mortgages, rights of first
refusal, agreements, limitation on voting rights, restrictions, levies, claims, pledges, equities,
options, contracts assessments, conditional sale agreements, charges and other encumbrances or
interests of any nature whatsoever, including, without limitation, voting trusts or agreements or
proxies (collectively, “Liens”) excluding any Liens created by the Company, its
Organizational Documents, the Registration Rights Agreement, or applicable securities laws.

     3.4. Authorization. Seller has the absolute and unrestricted right, power, capacity
(legal or otherwise) and authority to execute and deliver this Agreement and to consummate the
transactions contemplated hereby. The execution and delivery of this Agreement and the

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consummation of the transactions contemplated hereby have been duly and validly authorized by
all necessary corporate action by Seller and no other corporate actions on the part of Seller are
necessary to authorize, execute and deliver this Agreement or to consummate the transactions
contemplated hereby.

     3.5. Validity. This Agreement has been duly and validly executed and delivered by
Seller and constitutes a valid and binding obligation of Seller, enforceable against it in
accordance with its terms.

     3.6. No Violation. The execution, delivery and performance by Seller of this
Agreement does not, and the consummation by Seller of the transactions contemplated hereby will
not, (i) violate or conflict with any provision of Seller’s certificate of incorporation, by-laws
or any other organizational documents; (ii) violate any provision of any Laws of or by Governmental
or Regulatory Entity applicable to Seller or any of its properties or assets; or (iii) violate,
conflict with, result in a breach of or the loss of any benefit under, constitute (with due notice
or lapse of time or both) a default under, result in the termination of or a right of termination
or cancellation under, accelerate the performance required by or rights or obligations under, any
of the terms, conditions or provisions of any contract, note, bond, lease, loan agreement,
mortgage, security agreement, indenture, deed or trust, license, agreement or instrument to which
Seller or any of its affiliates is a party or by which it or any of its affiliates is bound or to
which any of its or its affiliates’ properties, assets or business is subject.

     3.7. Approvals and Consents. No consents, authorizations, waivers, filings,
registrations or approvals are required in connection with the execution and delivery of this
Agreement by Seller, the consummation of the transactions contemplated hereby or the performance by
Seller of its obligations hereunder.

     3.8. Information Concerning Company. Pursuant to that certain Confidentiality
Agreement, dated as of August 12, 2010, by and between the Company and Seller (the
“Confidentiality Agreement”), the Company has made available certain information (the
“Confidential Information”) to Seller and Seller has had the opportunity to discuss the
plans, operations and financial condition of the Company with its officers and have received all
information requested by Seller relating to the Confidential Information to enable Seller to
evaluate the decision to sell the Warrant (collectively, the “Provided Information”).
Notwithstanding the foregoing, Seller acknowledges that the Company may be in possession of
material non-public information about the Company not known to Seller (“Excluded
Information”). Seller hereby waives any and all claims and causes of action now or
hereafter arising against the Company based upon or relating to any alleged non-disclosure of
Excluded Information or the disclosure of the Provided Information (other than claims based upon
gross negligence, fraud or intentional malfeasance) and further covenants not to assert any claims
against or to sue the Company or any of its directors, officers, employees, partners, agents or
affiliates for any loss, damage or liability arising from or relating to its sale of the Warrant
pursuant to this Agreement based upon or relating to any alleged non-disclosure of Excluded
Information or the disclosure of the Provided Information (other than claims based upon gross
negligence, fraud or intentional malfeasance). It is understood and agreed that neither the
Company nor Seller makes any representation or warranty to the other whatsoever with respect to the
business, condition (financial

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or otherwise), properties, prospects, creditworthiness, status or affairs of the Company, or
with respect to the value of the Warrant or the Warrant Shares.

     3.9. No Brokers or Finders. Seller has not retained, employed or used any broker or
finder in connection with the transactions provided for herein or in connection with the
negotiation thereof.

Article IV.

MISCELLANEOUS

     4.1. Expenses. The Company and Seller shall each bear their own expenses incurred in
connection with this Agreement and the consummation of the transactions contemplated hereby.

     4.2. Further Assurance. From time to time, at the Company’s request and without
further consideration, Seller will execute and deliver to the Company such documents and take such
other action as the Company may reasonably request in order to consummate the transactions
contemplated hereby.

     4.3. No Third-Party Beneficiaries. This Agreement is for the sole benefit of the
Company and Seller and their respective successors and permitted assigns and nothing herein,
express or implied, is intended to or shall confer upon any other person or entity any legal or
equitable right, benefit or remedy of any nature whatsoever under or by reason of this Agreement.

     4.4. Delays or Omissions. It is agreed that no delay or omission to exercise any
right, power or remedy accruing to either party upon any breach or default of the other party
hereto shall impair any such right, power or remedy, nor shall it be construed to be a waiver of
any such breach or default, or any acquiescence therein, or of any similar breach or default
thereafter occurring; nor shall any waiver of any single breach or default be deemed a waiver of
any other breach or default theretofore or thereafter occurring.

     4.5. Notices. All notices and other communications required hereunder shall be in
writing and sent by facsimile, delivered personally, delivered by a recognized next-day courier
service or mailed by registered or certified mail. All such notices and communications shall be
delivered as set forth below, or pursuant to such other instructions as may be designated in
writing by the party to receive such notice:

(a) if to the Company, to:

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Allied World Assurance Company Holdings, Ltd

27 Richmond Road

Pembroke HM 08, Bermuda

Attention: Wesley D. Dupont

Facsimile: 441-295-5117

with a copy to:

Willkie Farr & Gallagher LLP

787 Seventh Avenue

New York, NY 10019

Attention: Steven A. Seidman

                    Jeffrey Hochman

Facsimile: 212-728-8111

(b) if to Seller, to:

The Chubb Corporation

15 Mountain View Road

Warren, NJ 07059

Attention: Robert Witkoff

Facsimile: (908) 903-5020

with a copy to:

The Chubb Corporation

15 Mountain View Road

Warren, NJ 07059

Attention: Scott Strobridge, Esq.

Facsimile: (908) 903-3607

     4.6. Entire Agreement; Amendments. This Agreement contains the entire understanding
of the parties relating to the subject matter hereof, other than the Confidentiality Agreement.
This Agreement may be amended only by a written instrument duly signed by the Company and Seller.

     4.7. Binding Effect. This Agreement shall be binding upon and inure to the benefit of
the Company and Seller and their respective successors and permitted assigns.

     4.8. Assignment. Neither the Company nor Seller shall transfer or assign this
Agreement or any of their rights, interests, or obligations hereunder, in whole or in part, whether
voluntarily, by operation of law or otherwise, without the prior written approval of the other
party.

     4.9. Headings. The article and section headings contained in this Agreement are for
reference purposes only and will not affect in any way the meaning or interpretation of any
provision of this Agreement.

     4.10. Severability. The invalidity of any term or terms of this Agreement will not
affect any other term of this Agreement, which will remain in full force and effect.

     4.11. Governing Law, Jurisdiction; Waiver Of Jury Trial.

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     (a) This Agreement shall be construed, performed and enforced in
accordance with, and governed by, the laws of the State of New York, without
giving effect to the principles of conflicts of laws thereof. Each of the
parties hereto irrevocably elects as the sole judicial forums for the
adjudication of any matters arising under or in connection with this
Agreement, and consents to the jurisdictions of, the courts of the County of
New York, State of New York or the United States of America for the Southern
District of New York.

     (b) EACH PARTY ACKNOWLEDGES AND AGREES THAT ANY CONTROVERSY WHICH MAY
ARISE UNDER THIS AGREEMENT IS LIKELY TO INVOLVE COMPLICATED AND DIFFICULT
ISSUES, AND THEREFORE EACH SUCH PARTY HEREBY IRREVOCABLY AND UNCONDITIONALLY
WAIVES ANY RIGHT SUCH PARTY MAY HAVE TO A TRIAL BY JURY IN RESPECT OF ANY
LITIGATION DIRECTLY OR INDIRECTLY ARISING OUT OF OR RELATING TO THIS
AGREEMENT, OR THE TRANSACTIONS CONTEMPLATED BY THIS AGREEMENT. EACH PARTY
CERTIFIES AND ACKNOWLEDGES THAT (i) NO REPRESENTATIVE, AGENT OR ATTORNEY OF
ANY OTHER PARTY HAS REPRESENTED, EXPRESSLY OR OTHERWISE, THAT SUCH OTHER PARTY
WOULD NOT, IN THE EVENT OF LITIGATION, SEEK TO ENFORCE THE FOREGOING WAIVER,
(ii) EACH PARTY UNDERSTANDS AND HAS CONSIDERED THE IMPLICATIONS OF THIS
WAIVER, (iii) EACH PARTY MAKES THIS WAIVER VOLUNTARILY, AND (iv) EACH PARTY
HAS BEEN INDUCED TO ENTER INTO THIS AGREEMENT BY, AMONG OTHER THINGS, THE
MUTUAL WAIVERS AND CERTIFICATIONS IN THIS SECTION 4.11.

     4.12. Public Announcements. The parties agree that no party shall make any press
release or public announcement concerning this transaction without the prior approval of the other
party, unless a press release or public announcement is required by law, judicial or administrative
process or by obligations pursuant to any listing agreement with any national securities exchange.
Before a party makes any such announcement or other disclosure, it agrees to give the other parties
reasonable prior notice and a reasonable opportunity to comment on the proposed disclosure.

     4.13. Counterparts. This Agreement may be executed simultaneously in counterparts,
both of which shall be deemed an original, but all counterparts so executed will constitute one and
the same agreement.

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     IN WITNESS WHEREOF, this Agreement has been duly executed on behalf of each of the parties
hereto as of the day and year first above written.

	 	 	 	 	 
	 	ALLIED WORLD ASSURANCE COMPANY HOLDINGS, LTD

 	 
	 	By:  	                                              /s/ Wesley D. Dupont
 	 
	 	 	Name:  	Wesley D. Dupont 	 
	 	 	Title:  	Executive Vice President, General Counsel
& Secretary 	 
	 

	 	 	 	 	 
	 	THE CHUBB CORPORATION

 	 
	 	By:  	                   /s/ Robert Whitkoff
 	 
	 	 	Name:  	Robert Whitkoff 	 
	 	 	Title:  	Executive Vice President

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