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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1. Name and Address of Reporting Person * ARIZPE ARTHUR A   2. Issuer Name and Ticker or Trading Symbol INSPERITY, INC. [NSP] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) EVP of Client Services & COO (Last) (First) (Middle) 19001 CRESCENT SPRINGS DRIVE 3. Date of Earliest Transaction (Month/Day/Year) 06/03/2013 (Street) KINGWOOD, TX 77339 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 06/03/2013   M   3,966 A $ 17.17 130,457.911 D   Common Stock 06/03/2013   M   860 A $ 11.79 131,317.911 D   Common Stock 06/03/2013   S   4,826 D $ 30.4 126,491.911 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

Employee Stock Option

$ 17.17

06/03/2013

M

3,966

(1)

04/01/2014

Common Stock

3,966

$ 0

13,500

D

Employee Stock Option

$ 11.79

06/03/2013

M

860

(2)

10/01/2014

Common Stock

860

$ 0

25,836

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
ARIZPE ARTHUR A 19001 CRESCENT SPRINGS DRIVE KINGWOOD, TX 77339			EVP of Client Services & COO

Signatures

Daniel D. Herink, by power of attorney		06/04/2013
**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)	The options were scheduled to become exercisable in three equal annual installments beginning on April 1, 2005. However, on February 1, 2005, the Insperity board of directors accelerated the vesting of all unvested outstanding options with an exercise price greater than the January 31, 2005 closing market price of $14.59 per share.
(2)	The options were scheduled to become exercisable in three equal annual installments beginning on October 1, 2005. However, on February 18, 2005, the Insperity board of directors accelerated the vesting of all unvested outstanding options.

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