SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                ----------------

                                  SCHEDULE 13G
                                 (Rule 13d-102)

                                ----------------

    INFORMATION TO BE INCLUDED IN STATEMENTS PURSUANT TO RULES 13d-1(b), (c)
        AND (d) AND AMENDMENTS THERETO FILED PURSUANT TO 13d-2 UNDER THE
                        SECURITIES EXCHANGE ACT OF 1934

                          Armour Residential REIT, Inc.
                                (Name of Issuer)

                         Common Stock, $0.0001 Par Value
                         (Title of Class of Securities)

                                    042315101
                                 (CUSIP Number)

                                November 6, 2009
             (Date of Event Which Requires Filing of this Statement)

         Check the appropriate box to designate the rule pursuant to which this
Schedule is filed:

[ ] Rule 13d-1(b)

[X] Rule 13d-1(c)

[ ] Rule 13d-1(d)

-----------

         * The remainder of this cover page shall be filled out for a reporting
person's initial filing on this form with respect to the subject class of
securities, and for any subsequent amendment containing information which would
alter the disclosures provided in a prior cover page.

         The information required in the remainder of this cover page shall not
be deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).





Schedule 13G

CUSIP No.  042315101                                              PAGE 2 OF 9


------------------------------------------------------------------------------
(1)   NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

                                      Polar Securities Inc.
------------------------------------------------------------------------------
(2)   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP

                                                     (a)  [X]
                                                     (b)  [ ]
------------------------------------------------------------------------------
(3)   SEC USE ONLY
------------------------------------------------------------------------------
(4)   CITIZENSHIP OR PLACE OF ORGANIZATION
                                    Canada
------------------------------------------------------------------------------

NUMBER OF      (5) SOLE VOTING POWER
                                      -0-
SHARES             -----------------------------------------------------------

BENEFICIALLY   (6) SHARED VOTING POWER
                                      305,800
OWNED BY           -----------------------------------------------------------
EACH           (7) SOLE DISPOSITIVE POWER
                                      -0-
REPORTING          -----------------------------------------------------------

PERSON WITH    (8) SHARED DISPOSITIVE POWER
                                      305,800
------------------------------------------------------------------------------
         (9)   AGGREGATE AMOUNT BENEFICIALLY OWNED
               BY EACH REPORTING PERSON
                                      305,800
------------------------------------------------------------------------------
         (10)  CHECK BOX IF THE AGGREGATE AMOUNT
               IN ROW (9) EXCLUDES CERTAIN SHARES                      [   ]
------------------------------------------------------------------------------
         (11)  PERCENT OF CLASS REPRESENTED
               BY AMOUNT IN ROW (9)
                                      13.3%
------------------------------------------------------------------------------
         (12)  TYPE OF REPORTING PERSON
                                      IA
------------------------------------------------------------------------------





Schedule 13G

CUSIP No.  042315101                                              PAGE 3 OF 9


------------------------------------------------------------------------------
(1)   NAME OF REPORTING PERSON
      S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

                                      North Pole Capital Master Fund
------------------------------------------------------------------------------
(2)   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP

                                                     (a)  [X]
                                                     (b)  [ ]
------------------------------------------------------------------------------
(3)   SEC USE ONLY
------------------------------------------------------------------------------
(4)   CITIZENSHIP OR PLACE OF ORGANIZATION
                                    Cayman Islands
------------------------------------------------------------------------------

NUMBER OF      (5) SOLE VOTING POWER
                                      -0-
SHARES             -----------------------------------------------------------

BENEFICIALLY   (6) SHARED VOTING POWER
                                      305,800
OWNED BY           -----------------------------------------------------------

EACH           (7) SOLE DISPOSITIVE POWER
                                      -0-
REPORTING          -----------------------------------------------------------

PERSON WITH    (8) SHARED DISPOSITIVE POWER
                                      305,800
------------------------------------------------------------------------------
      (9)      AGGREGATE AMOUNT BENEFICIALLY OWNED
               BY EACH REPORTING PERSON
                                      305,800
------------------------------------------------------------------------------
      (10)     CHECK BOX IF THE AGGREGATE AMOUNT
               IN ROW (9) EXCLUDES CERTAIN SHARES                      [   ]
------------------------------------------------------------------------------
      (11)     PERCENT OF CLASS REPRESENTED
               BY AMOUNT IN ROW (9)
                                      13.3%
------------------------------------------------------------------------------
      (12)     TYPE OF REPORTING PERSON
                                      CO
------------------------------------------------------------------------------






Schedule 13G

CUSIP No.  042315101                                              PAGE 4 OF 9

ITEM 1(a).   NAME OF ISSUER:

             Armour Residential REIT, Inc. (the "Company")

ITEM 1(b).   ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES:

             6800 Broken Sound Parkway Suite 200
             Boca Raton, FL 33487


ITEMS 2(a), 2(b) and 2(c). NAME OF PERSON FILING, ADDRESS OF PRINCIPAL BUSINESS
OFFICE AND CITIZENSHIP:

     This statement is filed by the entities and persons listed below, all of
whom together are referred to herein as the "Reporting Persons":

          (i)  North Pole Capital Master Fund ("North Pole"), a Cayman Islands
               exempted company, with respect to the Shares (defined in item
               2(d) below) reported in this Schedule 13G directly owned by it.

          (ii) Polar Securities Inc. ("Polar Securities"), a company
               incorporated under the laws on Ontario, Canada, with respect to
               the Shares reported in this Schedule 13G directly owned by North
               Pole and certain discretionary accounts managed by Polar
               Securities.

The citizenship of each of the Reporting Persons is set forth above.

The address of the principal business office of each of the Reporting Persons is
372 Bay Street, 21st floor, Toronto, Ontario M5H 2W9, Canada.

ITEM 2(d). TITLE OF CLASS OF SECURITIES: Common Stock $0.0001 Par Value (the
"Shares")

ITEM 2(e). CUSIP NUMBER: 042315101





Schedule 13G

CUSIP No.  042315101                                              PAGE 5 OF 9


ITEM 3. IF THIS STATEMENT IS FILED PURSUANT TO 13d-1(b) OR 13d-2(b) OR (c),
CHECK WHETHER THE PERSON FILING IS A:

        (a) [ ]  Broker or dealer registered under Section 15 of the Act;

        (b) [ ]  Bank as defined in Section 3(a)(6) of the Act;

        (c) [ ]  Insurance Company as defined in Section 3(a)(19) of the Act;

        (d) [ ]  Investment Company registered under Section 8 of the
                 Inv estment Company Act of 1940;

        (e) [ ]  Investment Adviser registered under Section 203 of the
                 Investment Advisers Act of 1940: see Rule 13d-1(b)(1)(ii)(E);

        (f) [ ]  Employee Benefit Plan, Pension Fund which is subject to the
                 pro visions of the Employee Retirement Income Security Act of
                 1974 or Endowment Fund; see Rule 13d-1(b)(1)(ii)(F);

        (g) [ ]  Parent Holding Company, in accordance with Rule
                 13d -1(b)(ii)(G);

        (h) [ ]  Savings Associations as defined in Section 3(b) of the
                 Fed eral Deposit Insurance Act;

        (i) [ ]  Church Plan that is excluded from the definition of an
                 investment company under Section 3(c)(14) of the Investment
                 Company Act of 1940;

        (j) [ ]  Group, in accordance with Rule 13d-1(b)(1)(ii)(J).

     IF THIS STATEMENT IS FILED PURSUANT TO Rule 13d-1(c), CHECK THIS BOX. [x]





Schedule 13G

CUSIP No.  042315101                                              PAGE 6 OF 9

ITEM 4. OWNERSHIP.

     Polar Securities Inc. serves as the investment manager to North Pole and a
number of discretionary accounts with respect to which it has voting and
dispositive authority over the Shares reported in this Schedule 13G.

     Each of the Reporting Persons hereby disclaims any beneficial ownership of
any such Shares.

     A. Polar Securities

        (a)  Amount beneficially owned: 305,800

        (b)  Percent of class: 13.3% (all percentages herein are based on
        2,299,050 Shares reported to be outstanding as of November 6, 2009
        as reflected in the Form 8-K filed by the Company on November 12, 2009)

        (c)  Number of shares as to which such person has:

             (i)   sole power to vote or to direct the vote: 0 Shares.

             (ii)  shared power to vote or to direct the vote: 305,800
                   Shares.

             (iii) sole power to dispose or to direct the disposition of: 0
                   Shares.

             (iv)  shared power to dispose or to direct the disposition of:
                   305,800 Shares

     B. North Pole

        (a)  Amount beneficially owned: 305,800

        (b)  Percent of class: 13.3%

        (c)  Number of shares as to which such person has:

             (i)   sole power to vote or to direct the vote: 0 Shares.

             (ii)  shared power to vote or to direct the vote: 305,800
                   Shares.

             (iii) sole power to dispose or to direct the disposition of: 0
                   Shares.

             (iv)  shared power to dispose or to direct the disposition of:
                   305,800 Shares





Schedule 13G

CUSIP No.  042315101                                              PAGE 7 OF 9


ITEM 5. OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS.

        Not applicable.

ITEM 6. OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON.

        See Item 4.

ITEM 7. IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH ACQUIRED THE
        SECURITY BEING REPORTED ON BY THE PARENT HOLDING COMPANY.

        Not applicable.

ITEM 8. IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP

        See Item 4.

ITEM 9. NOTICE OF DISSOLUTION OF GROUP

        Not applicable.

ITEM 10. CERTIFICATION (if filing pursuant to Rule 13d-1(c))

     Each of the Reporting Persons hereby makes the following certification:

By signing below each Reporting Person certifies that, to the best of its
knowledge and belief, the securities referred to above were not acquired and are
not held for the purpose of or with the effect of changing or influencing the
control of the issuer of the securities and were not acquired and not held in
connection with or as a participant in any transaction having that purpose or
effect.





Schedule 13G

CUSIP No.  042315101                                              PAGE 8 OF 9


                                   SIGNATURES

     After reasonable inquiry and to the best of our knowledge and belief, the
undersigned certify that the information set forth in this statement is true,
complete and correct.


DATED:  November 25, 2009               Polar Securities Inc.

                                        /s/ Paul Sabourin
                                        ------------------------------
                                        Paul Sabourin
                                        Chief Investment Officer

                                        North Pole Capital Master Fund
                                        By:  Polar Securities Inc.

                                        /s/ Paul Sabourin
                                        ------------------------------
                                        Paul Sabourin
                                        Chief Investment Officer





Schedule 13G

CUSIP No.  042315101                                              PAGE 9 OF 9


                                    EXHIBIT 1
                           JOINT ACQUISITION STATEMENT

                            PURSUANT TO RULE 13d-1(k)

     The undersigned acknowledge and agree that the foregoing statement on
Schedule 13G, is filed on behalf of each of the undersigned and that all
subsequent amendments to this statement on Schedule 13G, shall be filed on
behalf of each of the undersigned without the necessity of filing additional
joint acquisition statements. The undersigned acknowledge that each shall be
responsible for the timely filing of such amendments, and for the completeness
and accuracy of the information concerning him or it contained therein, but
shall not be responsible for the completeness and accuracy of the information
concerning the others, except to the extent that he or it knows or has reason to
believe that such information is inaccurate.

DATED:  November 25,  2009              Polar Securities Inc.
                                        /s/ Paul Sabourin
                                        ------------------------------
                                        Paul Sabourin
                                        Chief Investment Officer

                                        North Pole Capital Master Fund
                                        By:  Polar Securities Inc.

                                        /s/ Paul Sabourin
                                        ------------------------------
                                        Paul Sabourin
                                        Chief Investment Officer