Exhibit 4(k)


Form of Amendment No. 2 to the Investment
Management Agreement


This Amendment No.
2 dated as of [ ], 2014 to the Investment Management Agreement (the “Amendment”) is entered into by and between BlackRock
Variable Series Funds, Inc., a Maryland corporation (the “Corporation”) and BlackRock Advisors, LLC, a Delaware limited
liability company (the “Advisor”). Capitalized terms used herein and not otherwise defined shall have the meaning as
set forth in the Management Agreement (as defined below).


WHEREAS,
the Corporation and the Advisor have entered into an Investment Management Agreement dated September 29, 2006 (the “Management
Agreement”) pursuant to which the Corporation appointed the Advisor to act as investment advisor to certain investment portfolios
of the Corporation; and


WHEREAS,
the Management Agreement provides that the Management Agreement may be amended by the parties to the Management Agreement only
if the amendment is specifically approved by a vote of the Board of Directors of the Corporation, including a majority of those
Directors who are not parties to the Management Agreement or interested persons of any such party cast in person at a meeting called
for the purpose of voting on such approval, and, where required by the Investment Company Act of 1940, by a vote of the majority
of the outstanding voting securities of each Fund (as defined in the Management Agreement); and


WHEREAS, the Board
of Directors, including a majority of those Directors who are not interested persons of the Corporation, specifically approved
the establishment of BlackRock iShares® Alternative Strategies V.I. Fund, BlackRock iShares® Dynamic
Allocation V.I. Fund, BlackRock iShares® Dynamic Fixed Income V.I. Fund and BlackRock iShares® Equity
Appreciation V.I. Fund (each, a “New Fund” and collectively, the “New Funds”) and the appointment of the
Advisor to act as investment advisor therefor at an in-person meeting held on February 11, 2014;


NOW,
THEREFORE, the parties hereto, intending to be legally bound, hereby agree as follows:


		1.	Appointment. The Corporation hereby appoints the
Advisor to act as investment advisor to each New Fund for the period and on the terms set forth in the Management Agreement. The
Advisor hereby accepts such appointment and agrees to render the services set forth in the Management Agreement with respect to
each New Fund for the compensation herein provided.





		2.	Compensation. The Advisor shall receive any compensation
from the New Funds at the annual rates set forth on Schedule A for the services provided and the expenses assumed pursuant to
the Management Agreement.



		3.	Capitalized Terms. From and after the date hereof,
the term “Fund” as used in the Management Agreement shall be deemed to include BlackRock iShares® Alternative
Strategies V.I. Fund, BlackRock iShares® Dynamic Allocation V.I. Fund, BlackRock iShares® Dynamic
Fixed Income V.I. Fund and BlackRock iShares® Equity Appreciation V.I. Fund.





		4.	Miscellaneous. Except to the extent supplemented
hereby, the Management Agreement shall remain unchanged and in full force and effect, and is hereby ratified and confirmed in
all respects as supplemented hereby. Without limiting the generality of the foregoing, it is understood that the Advisor may employ
one or more sub-advisers for each New Fund pursuant to Section 6 of the Management Agreement.







    	 



    	 



    


IN WITNESS WHEREOF, the parties hereto
have caused this Amendment No. 2 to the Investment Management Agreement to be executed by their officers designated below as of
the day and year first above written.


	 	BLACKROCK VARIABLE SERIES FUNDS, INC.

on behalf of

BlackRock iShares® Alternative Strategies V.I. Fund

BlackRock iShares® Dynamic Allocation V.I. Fund

BlackRock iShares® Dynamic Fixed Income V.I. Fund

BlackRock iShares® Equity Appreciation V.I. Fund
	 	 	 	 
	 	 	 	 
	 	By:	 
	 	 	Name:	[  ]
	 	 	Title:	[  ]
	 	 	 	 
	 	 	 	 
	 	BLACKROCK ADVISORS, LLC
	 	 	 	 
	 	 	 	 
	 	By:	 
	 	 	Name:	[  ]
	 	 	Title:	[  ]


	 




    	 



    	 



    


Schedule
A


Investment
Advisory Fee


	BlackRock iShares® Alternative Strategies V.I. Fund	 
	Portion of Average Daily Value of Net Assets	Investment Advisory Fee
	Not exceeding $1 billion	0.250%
	In excess of $1 billion but not exceeding $3 billion	0.240%
	In excess of $3 billion but not exceeding $5 billion	0.225%
	In excess of $5 billion but not exceeding $10 billion	0.220%
	In excess of $10 billion	0.210%
	BlackRock iShares® Dynamic Allocation V.I. Fund	 
	Portion of Average Daily Value of Net Assets	Investment Advisory Fee
	Not exceeding $1 billion	0.150%
	In excess of $1 billion but not exceeding $3 billion	0.140%
	In excess of $3 billion but not exceeding $5 billion	0.135%
	In excess of $5 billion	0.130%
	BlackRock iShares® Dynamic Fixed Income V.I. Fund	 
	Portion of Average Daily Value of Net Assets	Investment Advisory Fee
	Not exceeding $1 billion	0.150%
	In excess of $1 billion but not exceeding $3 billion	0.140%
	In excess of $3 billion but not exceeding $5 billion	0.135%
	In excess of $5 billion	0.130%
	BlackRock iShares® Equity Appreciation V.I. Fund	 
	Portion of Average Daily Value of Net Assets	Investment Advisory Fee
	Not exceeding $1 billion	0.150%
	In excess of $1 billion but not exceeding $3 billion	0.140%
	In excess of $3 billion but not exceeding $5 billion	0.135%
	In excess of $5 billion	0.130%