Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
Feld Peter A
   2. Issuer Name and Ticker or Trading Symbol
INSPERITY, INC. [NSP] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
__X__ Director __X__ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
777 THIRD AVENUE, 18TH FLOOR		 3. Date of Earliest Transaction (Month/Day/Year)
05/23/2016
(Street)

NEW YORK, NY 10017		 4. If Amendment, Date Original Filed(Month/Day/Year)
 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)		 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)		 4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)		 5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)		 6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)		 7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock 05/23/2016   S   42,938 D $ 70.6838 1,944,020 I By Starboard Value and Opportunity Master Fund Ltd. (1)
Common Stock 05/23/2016   S   9,613 D $ 70.6838 435,207 I By Starboard Value and Opportunity S LLC (2)
Common Stock 05/23/2016   S   5,215 D $ 70.6838 236,109 I By Starboard Value and Opportunity C LP (3)
Common Stock 05/23/2016   S   14,325 D $ 70.6838 648,549 I By Managed Account of Starboard Value LP (4)
Common Stock 05/23/2016   S   10,290 D $ 70.3501 1,933,730 I By Starboard Value and Opportunity Master Fund Ltd. (1)
Common Stock 05/23/2016   S   2,303 D $ 70.3501 432,904 I By Starboard Value and Opportunity S LLC (2)
Common Stock 05/23/2016   S   1,250 D $ 70.3501 234,859 I By Starboard Value and Opportunity C LP (3)
Common Stock 05/23/2016   S   3,433 D $ 70.3501 645,116 I By Managed Account of Starboard Value LP (4)
Common Stock 05/23/2016   S   4,527 D $ 70.7592 1,929,203 I By Starboard Value and Opportunity Master Fund Ltd. (1)
Common Stock 05/23/2016   S   1,013 D $ 70.7592 431,891 I By Starboard Value and Opportunity S LLC (2)
Common Stock 05/23/2016   S   550 D $ 70.7592 234,309 I By Starboard Value and Opportunity C LP (3)
Common Stock 05/23/2016   S   1,510 D $ 70.7592 643,606 I By Managed Account of Starboard Value LP (4)
Common Stock 05/23/2016   S   74,886 D $ 70.1144 1,854,317 I By Starboard Value and Opportunity Master Fund Ltd. (1)
Common Stock 05/23/2016   S   16,765 D $ 70.1144 415,126 I By Starboard Value and Opportunity S LLC (2)
Common Stock 05/23/2016   S   9,095 D $ 70.1144 225,214 I By Starboard Value and Opportunity C LP (3)
Common Stock 05/23/2016   S   24,983 D $ 70.1144 618,623 I By Managed Account of Starboard Value LP (4)
Common Stock 05/24/2016   S   143,893 D $ 70.1763 1,710,424 I By Starboard Value and Opportunity Master Fund Ltd. (1)
Common Stock 05/24/2016   S   32,213 D $ 70.1763 382,913 I By Starboard Value and Opportunity S LLC (2)
Common Stock 05/24/2016   S   17,476 D $ 70.1763 207,738 I By Starboard Value and Opportunity C LP (3)
Common Stock 05/24/2016   S   48,005 D $ 70.1763 570,618 I By Managed Account of Starboard Value LP (4)
Common Stock 05/24/2016   S   82,141 D $ 70.3657 1,628,283 I By Starboard Value and Opportunity Master Fund Ltd. (1)
Common Stock 05/24/2016   S   18,389 D $ 70.3657 364,524 I By Starboard Value and Opportunity S LLC (2)
Common Stock 05/24/2016   S   9,977 D $ 70.3657 197,761 I By Starboard Value and Opportunity C LP (3)
Common Stock 05/24/2016   S   27,403 D $ 70.3657 543,215 I By Managed Account of Starboard Value LP (4)
Common Stock               2,910 D  

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)		 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)		 5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)		 6. Date Exercisable and Expiration Date
(Month/Day/Year)		 7. Title and Amount of Underlying Securities
(Instr. 3 and 4)		 8. Price of Derivative Security
(Instr. 5)		 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)		 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)		 11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
Feld Peter A
777 THIRD AVENUE, 18TH FLOOR
NEW YORK, NY 10017		   X   X    

Signatures

 /s/ Peter A. Feld   05/25/2016
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) Shares of common stock directly held by Starboard Value and Opportunity Master Fund Ltd ("Starboard V&O Fund"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP LLC ("Starboard Value GP"), the general partner of the investment manager of Starboard V&O Fund, and as a member and member of the Management Committee of Starboard Principal Co GP LLC ("Principal GP"), the general partner of the member of Starboard Value GP, may be deemed to beneficially own the shares directly held by Starboard V&O Fund for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such shares except to the extent of his pecuniary interest therein.
(2) Shares of common stock directly held by Starboard Value and Opportunity S LLC ("Starboard S LLC"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of the manager of Starboard S LLC, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the shares directly held by Starboard S LLC for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such shares except to the extent of his pecuniary interest therein.
(3) Shares of common stock directly held by Starboard Value and Opportunity C LP ("Starboard C LP"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of the investment manager of Starboard C LP, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the shares directly held by Starboard C LP for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such shares except to the extent of his pecuniary interest therein.
(4) Shares of common stock held in an account managed by Starboard Value LP (the "Managed Account"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of Starboard Value LP, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the shares held in the Managed Account for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such shares except to the extent of his pecuniary interest therein.

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