Exhibit (a)(5)

CERTIFICATE OF AMENDMENT TO THE

RESTATED CERTIFICATE OF INCORPORATION OF

FIFTH STREET FINANCE CORP.

Fifth Street Finance Corp. (the “Corporation”), a corporation organized and existing under and by virtue of the General Corporation Law of the State of Delaware (the “DGCL”), does hereby certify as follows:

FIRST: The Corporation’s Restated Certificate of Incorporation is hereby amended by deleting Article IV thereof in its entirety and replacing the following in lieu thereof:

The total number of shares of all classes of capital stock that the Corporation shall have authority to issue is 250,000,000 shares, par value $0.01 per share, of common stock (the “Common Stock”).

(A) Common Stock. Except as (1) otherwise required by laws of the State of Delaware or (2) expressly provided in this Certificate of Incorporation (as amended from time to time), each share of Common Stock shall have the same powers, rights and privileges and shall rank equally, share ratably and be identical in all respects as to all matters. The shares of Common Stock shall not have any preemptive rights whatsoever.

(1) Dividends. Subject to the provisions of the laws of the State of Delaware, and to the other provisions of this Certificate of Incorporation (as amended from time to time), holders of shares of Common Stock shall be entitled to receive equally, on a per share basis, such dividends and other distributions in cash, securities or other property of the Corporation as may be declared thereon by the Board of Directors from time to time out of assets or funds of the Corporation legally available therefor.

(2) Voting Rights. At every annual or special meeting of stockholders of the Corporation, each record holder of Common Stock shall be entitled to cast one (1) vote for each share of Common Stock standing in such holder’s name on the stock transfer records of the Corporation for the election of directors and on matters submitted to a vote of stockholders of the Corporation. Except as provided with respect to any other class or series of capital stock of the Corporation hereafter classified or reclassified, the exclusive voting power for all purposes shall solely be vested with the holders of Common Stock. There shall be no cumulative voting.

(3) Liquidation Rights. In the event of any liquidation, dissolution or winding up of the affairs of the Corporation, whether voluntary or involuntary, after payment or provision for payment of the Corporation’s debts and other liabilities, upon such dissolution, liquidation or winding up, the remaining net assets of the Corporation shall be distributed among holders of shares of Common Stock equally on a per share basis. A merger or consolidation of the Corporation with or into any other corporation or other entity, or a sale or conveyance of all or any part of the assets of the Corporation (which shall not in fact result in the liquidation of the Corporation and the distribution of assets to its stockholders) shall not be deemed to be a voluntary or involuntary liquidation or dissolution or winding up of the Corporation within the meaning of this Paragraph (A)(3).

SECOND: The Corporation’s original Certificate of Incorporation was filed with the Secretary of State of the State of Delaware on October 9, 2007.

Exhibit (a)(5)

THIRD: The foregoing amendment has been duly adopted by the Board of Directors and stockholders in accordance with the provisions of Section 242 of the DGCL.

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Exhibit (a)(5)

IN WITNESS WHEREOF, Fifth Street Finance Corp. has caused this Certificate of Amendment to the Restated Certificate of Incorporation to be signed by its President this 19^th day of March, 2013.

/s/ Bernard D. Berman

Bernard D. Berman

President