Edgar Filing: BLACKROCK CORE BOND TRUST

UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM N-Q

QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED
MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number 811-10543

Name of Fund: BlackRock Core Bond Trust (BHK)

Fund Address: 100 Bellevue Parkway, Wilmington, DE 19809

Name and address of agent for service: John M. Perlowski, Chief Executive Officer, BlackRock Core Bond Trust, 55 East 52^nd Street, New York, NY 10055

Registrant’s telephone number, including area code: (800) 882-0052, Option 4

Date of fiscal year end: 08/31/2013

Date of reporting period: 05/31/2013

Item 1 – Schedule of Investments

Schedule of Investments May 31, 2013 (Unaudited)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Asset-Backed Securities

Asset-Backed Securities — 7.6%
321 Henderson Receivables I LLC, Series 2010-3A, Class A, 3.82%, 12/15/48 (a)		USD	698			$	746,776
ACAS CLO Ltd., Series 2013-1A, Class C, 3.24%, 4/20/25 (a)(b)			500			488,000
AmeriCredit Automobile Receivables Trust, Series 2011-5, Class C, 3.44%, 10/08/17			400			416,528
Apidos CDO XI, Series 2012-11A, Class D, 4.74%, 1/17/23 (a)(b)			600			597,900
Atrium CDO Corp., Series 9A, Class D, 3.96%, 2/28/24 (a)(b)			500			479,064
Babson CLO Ltd., Series 2012-1X, Class B, 2.78%, 4/15/22 (b)			500			490,000
Brookside Mill CLO Ltd., Series 2013-1A, Class C1, 2.92%, 4/17/25 (a)(b)			500			498,400
CarMax Auto Owner Trust, Series 2012-1:
	Class B, 1.76%, 8/15/17		210			213,607
	Class C, 2.20%, 10/16/17		125			127,537
	Class D, 3.09%, 8/15/18		155			159,517
Cavalry CLO Ltd., Series 2A (a)(b):
	Class C, 3.23%, 1/17/24		1,035			1,019,475
	Class D, 4.38%, 1/17/24		770			754,600
CenterPoint Energy Transition Bond Co. LLC, Series 2012-1, Class A3, 3.03%, 10/15/25			1,105			1,129,880
CIFC Funding Ltd. (a)(b):
	Series 2012-1A, Class B1L, 5.53%, 8/14/24		750			757,500
	Series 2013-1A, Class B, 3.09%, 4/16/25		500			500,150
	Series 2013-1A, Class C, 3.88%, 4/16/25		500			490,650
Countrywide Asset-Backed Certificates, Series 2006-13, Class 3AV2, 0.34%, 1/25/37 (b)			1,013			892,435
Credit Acceptance Auto Loan Trust, Series 2010-1, Class B, 3.63%, 10/15/18 (a)			1,980			1,987,453
DT Auto Owner Trust (a):
	Series 2011-2A, Class C, 3.05%, 2/16/16		504			504,704
	Series 2011-3A, Class C, 4.03%, 2/15/17		255			257,408
Duane Street CLO IV Ltd., Series 2007-4A, Class D, 2.53%, 11/14/21 (a)(b)			500			481,500
Figueroa CLO Ltd., Series 2013-1A, Class C, 3.93%, 3/21/24 (a)(b)			500			481,000
				Par (000)	Value
Asset-Backed Securities
Asset-Backed Securities (continued)
Ford Credit Floorplan Master Owner Trust:
	Series 2012-1, Class B, 1.10%, 1/15/16 (b)	USD	180			$	180,629
	Series 2012-1, Class C, 1.70%, 1/15/16 (b)		475			477,409
	Series 2012-1, Class D, 2.30%, 1/15/16 (b)		445			447,111
	Series 2012-2, Class B, 2.32%, 1/15/19		245			250,799
	Series 2012-2, Class C, 2.86%, 1/15/19		105			109,328
	Series 2012-2, Class D, 3.50%, 1/15/19		200			209,098
Galaxy CLO Ltd., Series 2013-15A, Class C, 2.88%, 4/15/25 (a)(b)			500			494,375
Home Equity Asset Trust, Series 2007-2, Class 2A1, 0.30%, 7/25/37 (b)			19			18,790
ING IM CLO Ltd., Series 2012-2A, Class C, 3.73%, 10/15/22 (a)(b)			750			750,000
Nelnet Student Loan Trust (b):
	Series 2006-1, Class A5, 0.38%, 8/23/27		525			515,433
	Series 2008-3, Class A4, 1.92%, 11/25/24		615			654,289
OZLM Funding Ltd. (a)(b):
	Series 2013-3A, Class B, 3.35%, 1/22/25		750			754,575
	Series 2013-3A, Class C, 4.15%, 1/22/25		500			491,650
PFS Financing Corp., Series 2012-AA, Class A, 1.40%, 2/15/16 (a)(b)			480			482,542
Santander Consumer Acquired Receivables Trust (a):
	Series 2011-S1A, Class B, 1.66%, 8/15/16		441			442,672
	Series 2011-S1A, Class C, 2.01%, 8/15/16		293			294,848
	Series 2011-S1A, Class D, 3.15%, 8/15/16		307			309,314
	Series 2011-WO, Class C, 3.19%, 10/15/15		580			592,413
Santander Drive Auto Receivables Trust:
	Series 2010-2, Class B, 2.24%, 12/15/14		493			494,187
	Series 2010-2, Class C, 3.89%, 7/17/17		1,010			1,038,537
	Series 2010-B, Class B, 2.10%, 9/15/14 (a)		78			77,595
	Series 2010-B, Class C, 3.02%, 10/17/16 (a)		740			749,451
	Series 2011-1, Class D, 4.01%, 2/15/17		940			981,185

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Asset-Backed Securities

Asset-Backed Securities (concluded)
Santander Drive Auto Receivables Trust (concluded):
	Series 2011-S1A, Class B, 1.48%, 5/15/17 (a)	USD	165			$	165,084
	Series 2011-S1A, Class D, 3.10%, 5/15/17 (a)		93			93,719
	Series 2011-S2A, Class C, 2.86%, 6/15/17 (a)		431			433,456
	Series 2012-1, Class B, 2.72%, 5/16/16		240			245,214
	Series 2012-1, Class C, 3.78%, 11/15/17		325			339,720
SLM Student Loan Trust:
	Series 2004-B, Class A2, 0.48%, 6/15/21 (b)		160			157,829
	Series 2008-5, Class A3, 1.58%, 1/25/18 (b)		515			523,247
	Series 2008-5, Class A4, 1.98%, 7/25/23 (b)		615			645,738
	Series 2012-A, Class A1, 1.60%, 8/15/25 (a)(b)		277			281,568
	Series 2012-A, Class A2, 3.83%, 1/17/45 (a)		345			374,021
Small Business Administration, Class 1:
	Series 2003-P10B, 5.14%, 8/10/13		41			41,302
	Series 2004-P10B, 4.75%, 8/10/14		87			88,831
Structured Asset Securities Corp., Series 2002-AL1, Class A2, 3.45%, 2/25/32			1,174			1,173,607
Symphony CLO VII Ltd., Series 2011-7A, Class E, 3.88%, 7/28/21 (a)(b)			750			727,500
World Financial Network Credit Card Master Trust, Series 2012-C, Class C, 4.55%, 8/15/22			1,180			1,266,693
						30,847,843
Interest Only Asset-Backed Securities — 0.2%
Sterling Bank Trust, Series 2004-2, Class Note, 2.08%, 3/30/30 (a)			3,333			259,377
Sterling Coofs Trust, Series 2004-1, Class A, 2.36%, 4/15/29 (b)			5,417			389,379
						648,756
Total Asset-Backed Securities – 7.8%					31,496,599

				Shares		Value
Common Stocks (c)
Paper & Forest Products — 0.0%
NewPage Corp.			1,720				$	163,400
Software — 0.0%
Bankruptcy Management Solutions, Inc.			135				—
Total Common Stocks – 0.0%					163,400

				Par (000)
Corporate Bonds
Aerospace & Defense — 0.6%
Huntington Ingalls Industries, Inc., 7.13%, 3/15/21		USD	230				252,425
United Technologies Corp. (d):
	4.88%, 5/01/15		1,125				1,217,774
	6.13%, 7/15/38		700				886,894
							2,357,093
Airlines — 0.7%
Continental Airlines Pass-Through Trust:
	Series 2010-1, Class B, 6.00%, 1/12/19		571				593,959
	Series 2012-3, Class C 6.13%, 4/29/18		500				525,000
US Airways Pass-Through Trust, Series 2012-1, Class C, 9.13%, 10/01/15			1,552				1,679,847
							2,798,806
Auto Components — 0.5%
Icahn Enterprises LP, 8.00%, 1/15/18			1,450				1,537,000
Schaeffler Finance BV, 4.75%, 5/15/21 (a)			590				579,675
							2,116,675
Automobiles — 0.5%
Ford Motor Co., 4.75%, 1/15/43			1,995				1,856,016
Beverages — 0.0%
Crown European Holdings SA, 7.13%, 8/15/18 (a)		EUR	50				70,349
Building Products — 0.2%
Cemex SAB de CV, 5.88%, 3/25/19 (a)		USD	200				199,000
Momentive Performance Materials, Inc., 8.88%, 10/15/20			255				274,763
Texas Industries, Inc., 9.25%, 8/15/20			324				358,830
							832,593

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Corporate Bonds
Capital Markets — 3.6%
CDP Financial, Inc., 5.60%, 11/25/39 (a)(d)		USD	2,935			$	3,516,740
The Goldman Sachs Group, Inc. (d):
	5.38%, 3/15/20		1,220			1,386,839
	5.25%, 7/27/21		3,165			3,525,937
	5.75%, 1/24/22		1,800			2,060,541
Morgan Stanley:
	4.20%, 11/20/14		490			510,459
	4.00%, 7/24/15		410			431,463
	6.25%, 8/28/17 (d)		1,930			2,226,635
Murray Street Investment Trust I, 4.65%, 3/09/17			825			899,195
						14,557,809
Chemicals — 1.4%
Axiall Corp., 4.88%, 5/15/23 (a)			152			152,760
The Dow Chemical Co., 4.13%, 11/15/21			350			372,141
Eagle Spinco, Inc., 4.63%, 2/15/21 (a)			527			530,952
Huntsman International LLC, 4.88%, 11/15/20			414			418,140
Methanex Corp., 3.25%, 12/15/19			2,074			2,078,109
Nufarm Australia Ltd., 6.38%, 10/15/19 (a)			245			251,125
PetroLogistics LP/PetroLogistics Finance Corp., 6.25%, 4/01/20 (a)			161			162,208
Rockwood Specialties Group, Inc., 4.63%, 10/15/20			1,486			1,515,720
Tronox Finance LLC, 6.38%, 8/15/20 (a)			182			178,815
US Coatings Acquisition, Inc./Flash Dutch 2 BV, 7.38%, 5/01/21 (a)			151			159,305
						5,819,275
Commercial Banks — 3.1%
CIT Group, Inc.:
	5.50%, 2/15/19 (a)		280			303,100
	5.38%, 5/15/20		1,650			1,777,875
	5.00%, 8/15/22		174			185,310
Depfa ACS Bank, 5.13%, 3/16/37 (a)			3,775			3,378,625
HSBC Bank Brasil SA - Banco Multiplo, 4.00%, 5/11/16 (a)			1,400			1,459,500
HSBC Bank Plc, 3.10%, 5/24/16 (a)(d)			700			740,118
HSBC Holdings Plc, 6.10%, 1/14/42 (d)			305			378,267
Rabobank Nederland (d):
	3.88%, 2/08/22		1,390			1,443,432
	3.95%, 11/09/22		1,500			1,492,956
Wells Fargo & Co., 3.50%, 3/08/22 (d)			1,390			1,440,964
						12,600,147
				Par (000)	Value
Corporate Bonds
Commercial Services & Supplies — 1.3%
ADS Waste Holdings, Inc., 8.25%, 10/01/20 (a)		USD	246			$	263,835
Aviation Capital Group Corp. (a):
	4.63%, 1/31/18		650			671,489
	7.13%, 10/15/20		900			1,023,750
The Hertz Corp.:
	4.25%, 4/01/18 (a)		236			242,490
	5.88%, 10/15/20		230			242,650
	7.38%, 1/15/21		620			685,100
	6.25%, 10/15/22		385			418,206
Mobile Mini, Inc., 7.88%, 12/01/20			320			354,400
UR Merger Sub Corp.:
	5.75%, 7/15/18		194			207,095
	7.38%, 5/15/20		495			543,263
	7.63%, 4/15/22		452			500,590
						5,152,868
Communications Equipment — 1.2%
ADC Telecommunications, Inc., 3.50%, 7/15/15 (e)			4,330			4,405,775
Zayo Group LLC/Zayo Capital, Inc., 8.13%, 1/01/20			530			588,300
						4,994,075
Construction & Engineering — 0.1%
ABB Finance USA, Inc., 4.38%, 5/08/42			192			194,556
Safway Group Holding LLC/Safway Finance Corp., 7.00%, 5/15/18 (a)			200			201,000
						395,556
Construction Materials — 1.0%
HD Supply, Inc.:
	8.13%, 4/15/19		1,815			2,014,650
	7.50%, 7/15/20 (a)		1,544			1,636,640
	11.50%, 7/15/20		255			299,625
Lafarge SA, 7.13%, 7/15/36			135			146,137
						4,097,052
Consumer Finance — 0.8%
Discover Financial Services, 3.85%, 11/21/22			250			251,774
Ford Motor Credit Co. LLC:
	8.13%, 1/15/20		1,265			1,593,934
	4.25%, 9/20/22		800			822,239
SLM Corp., 6.25%, 1/25/16			661			702,337
						3,370,284
Containers & Packaging — 1.0%
Ardagh Packaging Finance Plc/Ardagh MP Holdings USA, Inc. (a):
	7.38%, 10/15/17	EUR	425			593,823
	4.88%, 11/15/22	USD	209			208,477

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Corporate Bonds
Containers & Packaging (concluded)
Crown Americas LLC/Crown Americas Capital Corp. III, 6.25%, 2/01/21		USD	91			$	99,418
Crown Americas LLC/Crown Americas Capital Corp. IV, 4.50%, 1/15/23 (a)			143			139,783
Sealed Air Corp. (a):
	6.50%, 12/01/20		550			611,875
	8.38%, 9/15/21		225			259,875
Smurfit Kappa Acquisitions (a):
	7.25%, 11/15/17	EUR	725			989,434
	4.88%, 9/15/18	USD	410			424,350
	7.75%, 11/15/19	EUR	410			583,544
						3,910,579
Diversified Consumer Services — 0.3%
APX Group, Inc., 6.38%, 12/01/19 (a)		USD	636			634,410
Rent-A-Center, Inc., 4.75%, 5/01/21 (a)			431			422,380
						1,056,790
Diversified Financial Services — 7.4%
Aircastle Ltd., 6.25%, 12/01/19			708			766,410
Ally Financial, Inc.:
	8.30%, 2/12/15		1,500			1,650,000
	5.50%, 2/15/17		1,500			1,605,000
	6.25%, 12/01/17		160			176,088
	8.00%, 3/15/20		560			666,400
	8.00%, 11/01/31		300			387,000
Bank of America Corp. (d):
	5.63%, 7/01/20		1,100			1,270,617
	3.30%, 1/11/23		4,990			4,833,758
Citigroup, Inc., Series D, 5.35%(b)(f)			1,050			1,036,875
FMR LLC, 4.95%, 2/01/33 (a)(d)			1,150			1,172,602
General Electric Capital Corp. (d):
	6.15%, 8/07/37		2,150			2,550,650
	6.88%, 1/10/39		135			172,381
General Motors Financial Co., Inc., 4.25%, 5/15/23 (a)			182			177,450
GETCO Financing Escrow LLC, 8.25%, 6/15/18 (a)(g)			185			180,837
Jefferies Finance LLC/JFIN Co-Issuer Corp., 7.38%, 4/01/20 (a)			500			502,500
Jefferies LoanCore LLC/JLC Finance Corp., 6.88%, 6/01/20 (a)			626			627,565
JPMorgan Chase & Co.:
	3.70%, 1/20/15 (d)		3,425			3,580,468
	6.30%, 4/23/19		2,000			2,406,546
JPMorgan Chase Bank NA, 6.00%, 10/01/17			800			933,795
Macquarie Bank Ltd., 10.25%, 6/20/57 (b)			900			1,017,990
Moody's Corp., 4.50%, 9/01/22			900			932,994

				Par (000)	Value
Corporate Bonds
Diversified Financial Services (concluded)
Reynolds Group Issuer, Inc.:
	7.13%, 4/15/19	USD	200			$	213,000
	7.88%, 8/15/19		560			613,200
	5.75%, 10/15/20		1,000			1,015,000
	6.88%, 2/15/21		680			725,900
WMG Acquisition Corp., 11.50%, 10/01/18			562			663,160
						29,878,186
Diversified Telecommunication Services — 2.4%
CenturyLink, Inc., Series V, 5.63%, 4/01/20			400			413,500
Level 3 Financing, Inc.:
	8.13%, 7/01/19		698			755,585
	8.63%, 7/15/20		650			715,000
Lynx I Corp., 5.38%, 4/15/21 (a)			395			410,800
Telecom Italia Capital SA:
	4.95%, 9/30/14		1,075			1,119,649
	6.00%, 9/30/34		1,550			1,487,980
Verizon Communications, Inc. (d):
	3.50%, 11/01/21		500			516,938
	6.40%, 2/15/38		3,483			4,201,330
Windstream Corp., 7.88%, 11/01/17			40			46,000
						9,666,782
Electric Utilities — 6.0%
The Cleveland Electric Illuminating Co.:
	8.88%, 11/15/18		121			158,693
	5.95%, 12/15/36		217			242,935
CMS Energy Corp., 5.05%, 3/15/22			915			1,033,146
Duke Energy Carolinas LLC:
	6.10%, 6/01/37		315			386,682
	6.00%, 1/15/38 (d)		825			1,023,030
	4.25%, 12/15/41 (d)		375			368,659
E.ON International Finance BV, 6.65%, 4/30/38 (a)(d)			1,525			2,020,189
Electricite de France SA, 5.60%, 1/27/40 (a)			1,400			1,568,668
Florida Power Corp.:
	6.35%, 9/15/37		1,325			1,709,385
	6.40%, 6/15/38 (d)		430			552,399
Hydro-Quebec (d):
	9.40%, 2/01/21		390			562,557
	8.40%, 1/15/22		730			1,023,775
	8.05%, 7/07/24		1,900			2,708,353
Jersey Central Power & Light Co., 7.35%, 2/01/19			245			304,573
Nisource Finance Corp.:
	6.40%, 3/15/18		280			332,542
	5.25%, 2/15/43		500			518,735
Ohio Power Co., Series D, 6.60%, 3/01/33			1,500			1,887,627
PacifiCorp., 6.25%, 10/15/37 (d)			575			741,777

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Corporate Bonds
Electric Utilities (concluded)
Public Service Co. of Colorado, Series 17, 6.25%, 9/01/37		USD	1,200			$	1,573,069
Southern California Edison Co. (d):
	5.63%, 2/01/36		625			749,796
	Series 08-A, 5.95%, 2/01/38		1,075			1,353,620
The Tokyo Electric Power Co., Inc., 4.50%, 3/24/14		EUR	850			1,123,568
Virginia Electric and Power Co., Series A, 6.00%, 5/15/37		USD	2,000			2,514,206
						24,457,984
Electrical Equipment — 0.1%
GrafTech International Ltd., 6.38%, 11/15/20 (a)			580			603,200
Energy Equipment & Services — 3.0%
Calfrac Holdings LP, 7.50%, 12/01/20 (a)(d)			565			581,950
Ensco Plc:
	3.25%, 3/15/16		160			169,127
	4.70%, 3/15/21 (d)		1,745			1,925,152
EOG Resources, Inc., 2.63%, 3/15/23 (d)			1,902			1,832,490
FTS International Services LLC/FTS International Bonds, Inc., 8.13%, 11/15/18 (a)			807			859,455
Genesis Energy LP/Genesis Energy Finance Corp., 5.75%, 2/15/21 (a)			71			72,420
Noble Holding International Ltd., 5.25%, 3/15/42			350			340,651
Peabody Energy Corp.:
	6.00%, 11/15/18		1,251			1,338,570
	6.25%, 11/15/21		1,349			1,409,705
Seadrill Ltd., 5.63%, 9/15/17 (a)			1,590			1,629,750
Tervita Corp., 8.00%, 11/15/18 (a)			516			534,060
Transocean, Inc.:
	5.05%, 12/15/16		850			941,644
	6.50%, 11/15/20		350			406,335
						12,041,309
Food Products — 1.0%
Kraft Foods Group, Inc.:
	5.38%, 2/10/20		1,570			1,828,213
	5.00%, 6/04/42		997			1,045,065
Pinnacle Foods Finance LLC/Pinnacle Foods Finance Corp., 4.88%, 5/01/21 (a)			224			224,840
Post Holdings, Inc., 7.38%, 2/15/22			749			834,199
						3,932,317

				Par (000)	Value
Corporate Bonds
Gas Utilities — 0.6%
CenterPoint Energy Resources Corp., 5.85%, 1/15/41		USD	1,600			$	1,988,274
Suburban Propane Partners LP/Suburban Energy Finance Corp., 7.50%, 10/01/18			380			408,025
						2,396,299
Health Care Equipment & Supplies — 0.6%
Boston Scientific Corp., 6.25%, 11/15/15			1,251			1,392,128
DJO Finance LLC/DJO Finance Corp., 7.75%, 4/15/18			735			760,725
Teleflex, Inc., 6.88%, 6/01/19			385			415,800
						2,568,653
Health Care Providers & Services — 4.2%
Aviv Healthcare Properties LP, 7.75%, 2/15/19			175			191,188
CHS/Community Health Systems, Inc., 5.13%, 8/15/18			400			417,000
ConvaTec Healthcare E SA, 7.38%, 12/15/17 (a)		EUR	494			687,022
HCA, Inc.:
	6.50%, 2/15/20	USD	2,118			2,388,045
	7.88%, 2/15/20		205			223,450
	7.25%, 9/15/20		350			385,000
	4.75%, 5/01/23		1,161			1,158,097
IASIS Healthcare LLC/IASIS Capital Corp., 8.38%, 5/15/19			412			430,540
INC Research LLC, 11.50%, 7/15/19 (a)			465			499,875
inVentiv Health, Inc., 9.00%, 1/15/18 (a)			310			330,150
Omnicare, Inc., 7.75%, 6/01/20			805			891,537
Symbion, Inc., 8.00%, 6/15/16			455			481,163
Tenet Healthcare Corp.:
	6.25%, 11/01/18		859			951,342
	4.50%, 4/01/21 (a)		383			376,298
	4.38%, 10/01/21 (a)		1,765			1,712,050
UnitedHealth Group, Inc., 2.88%, 3/15/22 (d)			2,000			1,986,892
WellPoint, Inc., 4.65%, 1/15/43 (d)			4,005			3,976,440
						17,086,089
Health Care Technology — 0.6%
Amgen, Inc. (d):
	6.40%, 2/01/39		750			912,718
	5.15%, 11/15/41		1,500			1,591,288
						2,504,006
Hotels, Restaurants & Leisure — 1.7%
Caesars Operating Escrow LLC/Caesars Escrow Corp., 9.00%, 2/15/20 (a)			398			383,075
MCE Finance Ltd., 5.00%, 2/15/21 (a)			935			935,000

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Corporate Bonds
Hotels, Restaurants & Leisure (concluded)
Six Flags Entertainment Corp., 5.25%, 1/15/21 (a)		USD	865			$	869,325
The Unique Pub Finance Co. Plc:
	Series A3, 6.54%, 3/30/21	GBP	900			1,415,320
	Series A4, 5.66%, 6/30/27		1,327			1,975,918
	Series N, 6.46%, 3/30/32		1,195			1,425,310
						7,003,948
Household Durables — 0.9%
Beazer Homes USA, Inc., 6.63%, 4/15/18		USD	580			628,575
Standard Pacific Corp., 10.75%, 9/15/16			2,100			2,593,500
Taylor Morrison Communities, Inc./Monarch Communities, Inc., 5.25%, 4/15/21 (a)			372			376,650
						3,598,725
Household Products — 0.2%
Ontex IV SA, 7.50%, 4/15/18 (a)		EUR	190			259,300
Spectrum Brands Escrow Corp. (a):
	6.38%, 11/15/20	USD	200			214,750
	6.63%, 11/15/22		275			297,000
						771,050
Independent Power Producers & Energy Traders — 0.7%
The AES Corp., 4.88%, 5/15/23			37			36,353
Calpine Corp., 7.50%, 2/15/21 (a)			78			84,630
Energy Future Intermediate Holding Co. LLC:
	10.00%, 12/01/20		922			1,049,927
	10.00%, 12/01/20 (a)		890			1,009,037
GenOn REMA LLC, Series C, 9.68%, 7/02/26			415			452,350
NRG Energy, Inc., 6.63%, 3/15/23 (a)			19			20,093
						2,652,390
Industrial Conglomerates — 0.0%
Smiths Group Plc, 3.63%, 10/12/22 (a)			180			174,086
Insurance — 4.6%
A-S Co-Issuer Subsidiary, Inc./A-S Merger Sub LLC, 7.88%, 12/15/20 (a)			613			642,117
Allianz Finance II BV, 5.75%, 7/08/41 (b)		EUR	500			745,761
American International Group, Inc. (d):
	3.80%, 3/22/17	USD	5,580			5,963,128
	5.45%, 5/18/17		800			902,241
AXA SA, 5.25%, 4/16/40 (b)		EUR	250			340,890
Hartford Financial Services Group, Inc.:
	6.00%, 1/15/19	USD	345			406,535
	5.13%, 4/15/22		930			1,060,212
Hartford Life Global Funding Trusts, 0.46%, 6/16/14 (b)			425			424,871
Liberty Mutual Group, Inc., 6.50%, 5/01/42 (a)			1,000			1,169,150
				Par (000)	Value
Corporate Bonds
Insurance (concluded)
Lincoln National Corp., 6.25%, 2/15/20		USD	630			$	748,688
Manulife Financial Corp., 3.40%, 9/17/15 (d)			1,630			1,721,115
MetLife Global Funding I, 5.13%, 6/10/14 (a)(d)			775			810,459
Montpelier Re Holdings Ltd., 4.70%, 10/15/22			450			456,447
MPL 2 Acquisition Canco, Inc., 9.88%, 8/15/18 (a)			340			350,200
Muenchener Rueckversicherungs AG, 6.00%, 5/26/41 (b)		EUR	200			305,378
Prudential Financial, Inc. (d):
	7.38%, 6/15/19	USD	250			318,508
	5.38%, 6/21/20		250			292,462
	4.50%, 11/15/20		450			500,120
	5.90%, 3/17/36		500			578,399
	5.70%, 12/14/36		675			759,675
						18,496,356
Internet Software & Services — 0.1%
Equinix, Inc., 4.88%, 4/01/20			86			87,505
VeriSign, Inc., 4.63%, 5/01/23 (a)			345			346,725
						434,230
IT Services — 0.8%
Ceridian Corp., 11.00%, 3/15/21 (a)			440			502,700
First Data Corp. (a):
	7.38%, 6/15/19		775			817,625
	6.75%, 11/01/20		680			710,600
	8.25%, 1/15/21		27			28,620
SunGard Data Systems, Inc., 7.38%, 11/15/18			1,080			1,150,200
						3,209,745
Life Sciences Tools & Services — 0.1%
Agilent Technologies, Inc., 3.20%, 10/01/22			250			241,362
Machinery — 0.1%
Navistar International Corp., 8.25%, 11/01/21			379			386,106
Marine — 0.3%
Nakilat, Inc., Series A, 6.07%, 12/31/33 (a)(d)			1,050			1,268,600
Media — 6.4%
Affinion Group, Inc., 7.88%, 12/15/18			507			390,390
AMC Networks, Inc.:
	7.75%, 7/15/21		320			362,400
	4.75%, 12/15/22		343			342,143
Cinemark USA, Inc., 5.13%, 12/15/22			175			177,625

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Corporate Bonds
Media (concluded)
Clear Channel Communications, Inc., 9.00%, 12/15/19 (a)		USD	305			$	306,525
Clear Channel Worldwide Holdings, Inc. (a):
	6.50%, 11/15/22		674			707,700
	6.50%, 11/15/22		1,821			1,921,155
Comcast Cable Communications Holdings, Inc., 9.46%, 11/15/22 (d)			600			890,745
Comcast Corp., 6.45%, 3/15/37 (d)			790			994,024
Cox Communications, Inc., 8.38%, 3/01/39 (a)			1,740			2,527,186
DIRECTV Holdings LLC:
	6.38%, 3/01/41		260			289,996
	5.15%, 3/15/42		2,100			2,040,301
Intelsat Luxembourg SA, 7.75%, 6/01/21 (a)			455			478,319
Interactive Data Corp., 10.25%, 8/01/18			1,330			1,492,925
NBC Universal Media LLC (d):
	5.15%, 4/30/20		1,983			2,341,776
	4.38%, 4/01/21		1,015			1,132,611
The New York Times Co., 6.63%, 12/15/16			1,070			1,186,363
News America, Inc., 7.63%, 11/30/28			385			492,074
Omnicom Group, Inc., 3.63%, 5/01/22 (d)			2,355			2,366,537
Sirius XM Radio, Inc. (a):
	4.25%, 5/15/20		559			547,820
	4.63%, 5/15/23		275			264,000
TCI Communications, Inc., 7.88%, 2/15/26			610			830,234
Time Warner Cable, Inc., 7.30%, 7/01/38			930			1,151,207
Time Warner, Inc.:
	4.70%, 1/15/21		350			389,203
	6.10%, 7/15/40		215			246,588
Unitymedia Hessen GmbH & Co. KG, 5.50%, 1/15/23 (a)			255			260,100
Univision Communications, Inc., 5.13%, 5/15/23 (a)			1,153			1,129,940
Virgin Media Secured Finance Plc, 6.50%, 1/15/18			525			552,563
						25,812,450
Metals & Mining — 4.3%
Alcoa, Inc., 5.40%, 4/15/21			1,450			1,470,285
ArcelorMittal:
	9.50%, 2/15/15		410			455,100
	4.25%, 2/25/15		174			178,785
	4.25%, 8/05/15		233			240,573
	4.25%, 3/01/16		175			181,563
	5.00%, 2/25/17		243			252,720
				Par (000)	Value
Corporate Bonds
Metals & Mining (concluded)
ArcelorMittal (concluded):
	6.13%, 6/01/18	USD	313			$	331,780
Barrick Gold Corp., 2.90%, 5/30/16 (d)			1,690			1,740,472
Commercial Metals Co., 4.88%, 5/15/23			534			508,635
Corp. Nacional del Cobre de Chile, 3.00%, 7/17/22 (a)			1,565			1,493,711
Freeport-McMoRan Copper & Gold, Inc.:
	3.55%, 3/01/22		540			525,704
	5.45%, 3/15/43 (a)		450			432,420
New Gold, Inc. (a):
	7.00%, 4/15/20		105			111,300
	6.25%, 11/15/22		440			453,200
New World Resources NV, 7.88%, 5/01/18		EUR	165			171,567
Newcrest Finance Property Ltd., 4.45%, 11/15/21 (a)		USD	475			471,360
Novelis, Inc., 8.75%, 12/15/20			4,120			4,604,100
Teck Resources Ltd., 5.38%, 10/01/15			2,359			2,580,996
Xstrata Canada Corp., 6.20%, 6/15/35			1,250			1,301,542
						17,505,813
Multiline Retail — 0.8%
Dollar General Corp., 3.25%, 4/15/23			2,000			1,940,640
Dufry Finance SCA, 5.50%, 10/15/20 (a)			1,260			1,326,150
						3,266,790
Oil, Gas & Consumable Fuels — 11.3%
Access Midstream Partners LP/ACMP Finance Corp., 6.13%, 7/15/22			400			428,000
Anadarko Petroleum Corp., 5.95%, 9/15/16			1,916			2,183,899
Athlon Holdings LP/Athlon Finance Corp., 7.38%, 4/15/21 (a)			159			165,360
Bonanza Creek Energy, Inc., 6.75%, 4/15/21 (a)			59			61,655
BP Capital Markets Plc, 3.13%, 10/01/15 (d)			330			347,772
Burlington Resources Finance Co., 7.40%, 12/01/31 (d)			875			1,193,370
Carrizo Oil & Gas, Inc., 7.50%, 9/15/20			400			432,000
Cenovus Energy, Inc., 6.75%, 11/15/39			750			955,207
Chesapeake Energy Corp., 5.75%, 3/15/23			780			811,200
ConocoPhillips Canada Funding Co., 5.95%, 10/15/36 (d)			535			653,110
Continental Resources, Inc.:
	5.00%, 9/15/22		486			503,010

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Corporate Bonds
Oil, Gas & Consumable Fuels (continued)
Continental Resources, Inc. (concluded):
	4.50%, 4/15/23 (a)	USD	113			$	114,130
Denbury Resources, Inc., 4.63%, 7/15/23			623			602,752
El Paso Natural Gas Co. LLC, 8.38%, 6/15/32			275			386,214
El Paso Pipeline Partners Operating Co. LLC, 6.50%, 4/01/20			240			288,020
Energy Transfer Partners LP, 7.50%, 7/01/38			500			617,416
Energy XXI Gulf Coast, Inc., 9.25%, 12/15/17			455			505,050
Enterprise Products Operating LLC:
	4.05%, 2/15/22 (d)		1,250			1,331,995
	6.13%, 10/15/39		700			817,570
	Series L, 6.30%, 9/15/17		575			682,203
KeySpan Gas East Corp., 5.82%, 4/01/41 (a)(d)			505			615,216
Kinder Morgan Energy Partners LP:
	5.95%, 2/15/18		1,300			1,538,816
	6.50%, 9/01/39		3,000			3,533,475
	6.55%, 9/15/40		110			131,616
	6.38%, 3/01/41		150			176,609
Kodiak Oil & Gas Corp., 8.13%, 12/01/19			110			123,750
LBC Tank Terminals Holding Netherlands BV, 6.88%, 5/15/23 (a)			200			207,750
Linn Energy LLC, 6.25%, 11/01/19 (a)			355			357,663
Marathon Petroleum Corp., 6.50%, 3/01/41			997			1,198,820
MarkWest Energy Partners LP:
	6.25%, 6/15/22		98			105,840
	5.50%, 2/15/23		188			196,460
Memorial Production Partners LP, 7.63%, 5/01/21 (a)			212			213,060
MidAmerican Energy Co., 5.80%, 10/15/36			700			852,125
MidAmerican Energy Holdings Co.:
	5.95%, 5/15/37		800			951,306
	6.50%, 9/15/37		1,900			2,410,063
Newfield Exploration Co., 5.63%, 7/01/24			101			106,050
Nexen, Inc., 7.50%, 7/30/39			1,000			1,376,455
Offshore Group Investment Ltd., 7.13%, 4/01/23 (a)			232			239,540
Pacific Drilling SA, 5.38%, 6/01/20 (a)(g)			368			364,320
PBF Holding Co. LLC, 8.25%, 2/15/20			110			121,550
PDC Energy, Inc., 7.75%, 10/15/22 (a)			300			327,000
				Par (000)	Value
Corporate Bonds
Oil, Gas & Consumable Fuels (concluded)
Petrobras International Finance Co.:
	3.88%, 1/27/16	USD	1,340			$	1,398,135
	5.75%, 1/20/20		1,725			1,876,060
Pioneer Natural Resources Co., 3.95%, 7/15/22			350			361,103
Plains Exploration & Production Co., 6.88%, 2/15/23			488			552,050
Premier Oil Plc, 5.11%, 6/09/18			1,900			2,002,125
Range Resources Corp.:
	5.75%, 6/01/21		847			895,702
	5.00%, 8/15/22		88			89,320
Regency Energy Partners LP, 4.50%, 11/01/23 (a)			249			246,510
Rosetta Resources, Inc., 5.63%, 5/01/21			239			239,598
Sabine Pass Liquefaction LLC (a):
	5.63%, 2/01/21		1,787			1,793,701
	5.63%, 4/15/23		468			468,000
Sabine Pass Liquified Natural Gas LP:
	7.50%, 11/30/16		1,475			1,644,625
	6.50%, 11/01/20 (a)		475			497,563
SandRidge Energy, Inc.:
	8.75%, 1/15/20		35			37,625
	7.50%, 2/15/23		407			419,210
Tennessee Gas Pipeline Co. LLC, 7.50%, 4/01/17			1,040			1,258,577
Western Gas Partners LP:
	5.38%, 6/01/21		710			800,022
	4.00%, 7/01/22		200			204,105
The Williams Cos., Inc., Series A, 7.50%, 1/15/31			2,500			3,029,205
						46,040,653
Paper & Forest Products — 0.3%
Boise Paper Holdings LLC:
	9.00%, 11/01/17		180			191,700
	8.00%, 4/01/20		155			172,050
International Paper Co.:
	7.50%, 8/15/21		75			96,578
	4.75%, 2/15/22		420			463,909
	6.00%, 11/15/41		435			502,706
NewPage Corp., 11.38%, 12/31/14 (c)(h)			397			—
						1,426,943
Pharmaceuticals — 0.8%
Capsugel Finance Co. SCA, 9.88%, 8/01/19 (a)		EUR	200			294,393
Elan Finance Plc/Elan Finance Corp., 6.25%, 6/15/21 (a)		USD	1,610			1,618,050
Jaguar Holding Co. II/Jaguar Merger Sub, Inc., 9.50%, 12/01/19 (a)			520			593,450

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)		Value
Corporate Bonds
Pharmaceuticals (concluded)
Valeant Pharmaceuticals International, 6.38%, 10/15/20 (a)		USD	575		$			603,750
							3,109,643
Real Estate Investment Trusts (REITs) — 0.7%
Felcor Lodging LP, 5.63%, 3/01/23			247				251,323
Simon Property Group LP, 4.75%, 3/15/42			835				868,975
Ventas Realty LP/Ventas Capital Corp., 4.75%, 6/01/21			275				300,477
Vornado Realty LP, 5.00%, 1/15/22			1,185				1,305,013
							2,725,788
Real Estate Management & Development — 0.8%
Lennar Corp., 4.75%, 11/15/22 (a)			440				440,000
Punch Taverns Finance Plc, Series A2R, 6.82%, 7/15/20		GBP	686				1,074,203
The Realogy Corp. (a):
	3.38%, 5/01/16	USD	476				472,430
	7.88%, 2/15/19 (d)		374				410,465
	7.63%, 1/15/20 (d)		520				588,900
WEA Finance LLC, 4.63%, 5/10/21 (a)			305				334,999
							3,320,997
Road & Rail — 0.3%
Burlington Northern Santa Fe LLC, 5.75%, 5/01/40			950				1,108,792
Semiconductors & Semiconductor Equipment — 0.2%
NXP BV/NXP Funding LLC, 5.75%, 2/15/21 (a)			470				493,500
Spansion LLC, 7.88%, 11/15/17			390				405,600
							899,100
Software — 0.6%
IAC/InterActiveCorp, 4.75%, 12/15/22 (a)			598				587,535
Nuance Communications, Inc., 5.38%, 8/15/20 (a)			1,085				1,098,563
Oracle Corp., 5.38%, 7/15/40 (d)			775				898,802
							2,584,900
Specialty Retail — 0.8%
The ADT Corp., 4.88%, 7/15/42			539				495,164
The Home Depot, Inc., 5.88%, 12/16/36 (d)			830				1,013,305
New Academy Finance Co. LLC, 8.00%, 6/15/18 (a)(i)			244				251,320
QVC, Inc. (a):
	7.50%, 10/01/19		395				434,921
				Par (000)		Value
Corporate Bonds
Specialty Retail (concluded)
QVC, Inc. (a) (concluded):
	7.38%, 10/15/20	USD	975		$			1,077,357
							3,272,067
Textiles, Apparel & Luxury Goods — 0.2%
PVH Corp., 4.50%, 12/15/22			490				488,775
SIWF Merger Sub, Inc./Springs Industries, Inc., 6.25%,6/01/21 (a)(g)			402				399,990
							888,765
Thrifts & Mortgage Finance — 0.4%
Radian Group, Inc., 5.38%, 6/15/15			1,400				1,449,000
Tobacco — 1.2%
Altria Group, Inc.:
	9.95%, 11/10/38		800				1,254,482
	10.20%, 2/06/39		1,388				2,210,230
Lorillard Tobacco Co., 7.00%, 8/04/41			500				579,321
Reynolds American, Inc., 4.75%, 11/01/42			1,050				984,570
							5,028,603
Wireless Telecommunication Services — 2.3%
America Movil SAB de CV, 2.38%, 9/08/16			795				816,340
Crown Castle International Corp., 5.25%, 1/15/23			465				470,813
Crown Castle Towers LLC, 6.11%, 1/15/20 (a)			1,560				1,844,731
Digicel Group Ltd., 8.25%, 9/30/20 (a)			460				489,900
Digicel Ltd., 6.00%, 4/15/21 (a)			750				746,250
MetroPCS Wireless, Inc., 6.63%, 11/15/20			504				539,280
Rogers Communications, Inc., 7.50%, 8/15/38			1,150				1,572,788
SBA Tower Trust, 5.10%, 4/15/42 (a)			360				397,058
Softbank Corp., 4.50%, 4/15/20 (a)			550				558,092
Sprint Capital Corp., 6.88%, 11/15/28			570				570,000
Sprint Nextel Corp. (a):
	9.00%, 11/15/18		530				642,625
	7.00%, 3/01/20		770				866,250
							9,514,127
Total Corporate Bonds – 83.1%						337,311,821

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
Foreign Agency Obligations
Italy Government International Bond, 5.38%, 6/15/33		USD	455			$	474,656
Slovenia Government Bond,Series RS65, 4.38%, 4/02/14		EUR	1,600			2,095,342
Slovenia Government International Bond, 5.85%, 5/10/23 (a)		USD	432			427,680
Total Foreign Agency Obligations – 0.7%					2,997,678

Non-Agency Mortgage-Backed Securities
Collateralized Mortgage Obligations — 2.4%
Banc of America Funding Corp., Series 2007-2, Class 1A2, 6.00%, 3/25/37			903			830,182
Countrywide Alternative Loan Trust:
	Series 2005-64CB, Class 1A15, 5.50%, 12/25/35		1,286			1,221,292
	Series 2006-OA21, Class A1, 0.39%, 3/20/47 (b)		738			561,279
	Series 2007-HY4, Class 4A1, 4.94%, 6/25/47 (b)		624			521,784
Countrywide Home Loan Mortgage Pass-Through Trust:
	Series 2006-OA5, Class 2A1, 0.39%, 4/25/46 (b)		300			233,862
	Series 2007-10, Class A22, 6.00%, 7/25/37		499			459,353
Credit Suisse Mortgage Capital Certificates, Series 2011-2R,Class 2A1, 2.63%, 7/27/36 (a)(b)			1,162			1,161,181
GMAC Mortgage Corp. Loan Trust, Series 2005-AR3, Class 5A1, 5.19%, 6/19/35 (b)			833			845,228
GSR Mortgage Loan Trust:
	Series 2006-4F, Class 1A1, 5.00%, 5/25/36		405			395,610
	Series 2007-4F, Class 3A1, 6.00%, 7/25/37		599			575,616
Homebanc Mortgage Trust, Series 2006-2, Class A1, 0.37%, 12/25/36 (b)			540			465,558
IndyMac IMJA Mortgage Loan Trust, Series 2007-A1, Class A4, 6.00%, 8/25/37			720			648,185
JPMorgan Mortgage Trust, Series 2006-S3, Class 1A12, 6.50%, 8/25/36			220			204,607
Merrill Lynch Mortgage Investors, Inc., Series 2006-A3, Class 3A1, 2.89%, 5/25/36 (b)			605			512,667
Monastery BV, Series 2004-I, Class A2, 0.54%, 3/17/37 (b)		EUR	923			1,031,102
				Par (000)	Value
Non-Agency Mortgage-Backed Securities
Collateralized Mortgage Obligations (concluded)
Wells Fargo Mortgage-Backed Securities Trust, Series 2007-10, Class 1A21, 6.00%, 7/25/37		USD	40			$	39,049
						9,706,555
Commercial Mortgage-Backed Securities — 12.0%
Banc of America Commercial Mortgage Trust:
	Series 2007-1, Class A4, 5.45%, 1/15/49		500			562,049
	Series 2007-2, Class A4, 5.79%, 4/10/49 (b)		750			852,820
Bear Stearns Commercial Mortgage Securities Trust, Series 2005-PWR9, Class A4A, 4.87%, 9/11/42			800			857,719
Citigroup Commercial Mortgage Trust, Series 2008-C7, Class A4, 6.34%, 12/10/49 (b)			1,370			1,600,492
Citigroup/Deutsche Bank Commercial Mortgage Trust, Series 2006-CD3, Class AM, 5.65%, 10/15/48			1,093			1,227,078
Commercial Mortgage Pass-Through Certificates:
	Series 2006-C7, Class AM, 5.77%, 6/10/46 (b)		1,750			1,917,312
	Series 2013-LC6, Class B, 3.74%, 1/10/46		695			699,588
	Series 2013-LC6, Class D, 4.43%, 1/10/46 (a)(b)		835			767,828
Credit Suisse Mortgage Capital Certificates:
	Series 2006-C3, Class AM, 5.99%, 6/15/38 (b)		1,000			1,111,022
	Series 2006-C5, Class AM, 5.34%, 12/15/39		1,750			1,920,263
	Series 2010-RR2, Class 2A, 5.95%, 9/15/39 (a)(b)		1,010			1,143,747
CS First Boston Mortgage Securities Corp., Series 2005-C3, Class AJ, 4.77%, 7/15/37			705			738,424
DBRR Trust, Series 2011-C32, Class A3A, 5.94%, 6/17/49 (a)(b)			365			415,584
Greenwich Capital Commercial Funding Corp.:
	Series 2006-GG7, Class A4, 6.06%, 7/10/38 (b)		1,165			1,305,504
	Series 2007-GG9, Class A4, 5.44%, 3/10/39		2,190			2,465,467
GS Mortgage Securities Trust:
	Series 2007-GG10, Class A4 5.98%, 8/10/45 (b)		435			492,868

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

					Par (000)		Value
Non-Agency Mortgage-Backed Securities
Commercial Mortgage-Backed Securities (concluded)
GS Mortgage Securities Trust (concluded):
		Series 2013-GC10, Class B, 3.68%, 2/10/46 (a)	USD	1,250					$	1,240,585
JPMorgan Chase Commercial Mortgage Securities Corp., Series 2004-CB8, Class A1A, 4.16%, 1/12/39 (a)				2,043					2,076,603
JPMorgan Chase Commercial Mortgage Securities Trust:
		Series 2004-LN2, Class A2, 5.12%, 7/15/41		820					853,039
		Series 2006-CB14, Class AM, 5.63%, 12/12/44 (b)		330					361,766
LB-UBS Commercial Mortgage Trust (b):
		Series 2004-C8, Class C, 4.93%, 12/15/39		1,385					1,437,522
		Series 2007-C6, Class A4, 5.86%, 7/15/40		5,201					5,850,111
		Series 2007-C7, Class A3, 5.87%, 9/15/45		1,403					1,589,638
Morgan Stanley Capital I Trust:
		Series 2007-HQ11, Class A4, 5.45%, 2/12/44 (b)		4,000					4,510,540
		Series 2007-XLC1, Class A2, 0.56%, 7/17/17		85					82,586
Morgan Stanley Reremic Trust, Series 2011, Class A, 2.50%, 3/23/51 (a)				496					500,913
RCMC LLC, Series 2012-CRE1, Class A, 5.62%, 11/15/44 (a)				920					918,189
Titan Europe Plc, Series 2007-1X, Class A, 0.75%, 1/20/17 (b)			GBP	1,607					2,088,118
Wachovia Bank Commercial Mortgage Trust:
		Series 2006-C28, Class A2, 5.50%, 10/15/48	USD	4,203					4,235,083
		Series 2007-C33, Class A4, 6.12%, 2/15/51 (b)		2,185					2,469,452
WF-RBS Commercial Mortgage Trust:
		Series 2012-C8, Class B, 4.31%, 8/15/45		695					735,766
		Series 2012-C8, Class C, 5.04%, 8/15/45 (b)		895					966,098
		Series 2013-C11, Class D, 4.32%, 3/15/45 (a)(b)		800					731,374
									48,725,148
Interest Only Commercial Mortgage-Backed Securities — 1.3%
Morgan Stanley Bank of America Merrill Lynch Trust, Series 2012-C5, Class XA, 2.08%, 8/15/45 (a)(b)				15,799					1,707,970
					Par (000)		Value
Non-Agency Mortgage-Backed Securities
Interest Only Commercial Mortgage-Backed Securities (concluded)
Morgan Stanley Capital I Trust, Series 2012-C4, Class XA, 2.87%, 3/15/45 (a)(b)			USD	9,513		$			1,327,614
WF-RBS Commercial Mortgage Trust (a)(b):
		Series 2012-C8, Class XA, 2.41%, 8/15/45		6,045					792,302
		Series 2012-C9, Class XA, 2.43%, 11/15/45		10,792					1,494,805
									5,322,691
Total Non-Agency Mortgage-Backed Securities – 15.7%								63,754,394

Preferred Securities
Capital Trusts
Capital Markets — 0.4%
The Bank of New York Mellon Corp., Series D, 4.50%(b)(f)				1,698					1,704,367
State Street Capital Trust IV, 1.28%, 6/01/77 (b)				70					58,975
									1,763,342
Commercial Banks — 0.9%
BNP Paribas SA, 7.20% (a)(b)(f)				1,000					1,063,750
BPCE SA, 12.50% (a)(b)(f)				800					1,016,000
Fifth Third Capital Trust IV, 6.50%, 4/15/67 (b)				505					506,263
Wachovia Capital Trust III, 5.57% (b)(f)				1,025					1,026,281
									3,612,294
Diversified Financial Services — 1.9%
Capital One Financial Corp., 4.75%, 7/15/21				960					1,071,344
General Electric Capital Corp., Series B, 6.25% (b)(f)				900					996,750
JPMorgan Chase & Co. (b)(f):
	Series 1, 7.90%			3,500					4,086,250
	Series Q, 5.15%			1,500					1,515,000
									7,669,344
Electric Utilities — 0.5%
Electricite de France SA,5.25% (a)(b)(f)				2,100					2,107,875
Insurance — 3.5%
The Allstate Corp., 6.50%, 5/15/67 (b)(d)				1,950					2,198,625
American International Group, Inc., 8.18%, 5/15/68 (b)				970					1,270,700
AXA SA, 6.46%(a)(b)(f)				1,025					1,042,937

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

								Par (000)		Value
Capital Trusts
Insurance (concluded)
Genworth Holdings, Inc., 6.15%, 11/15/66 (b)		USD			1,150								$	1,081,000
Liberty Mutual Group, Inc., 7.00%, 3/07/67 (a)(b)					975								1,018,875
Lincoln National Corp., 6.05%, 4/20/67 (b)					675								688,500
MetLife Capital Trust IV, 7.88%, 12/15/67 (a)					640								808,000
MetLife, Inc., 6.40%, 12/15/66					3,500								3,955,000
Swiss Re Capital I LP, 6.85%(a)(b)(f)					1,060								1,137,401
XL Group Plc, Series E,6.50%(b)(f)					815								817,038
													14,018,076
Total Capital Trusts – 7.2%										29,170,931

								Shares
Preferred Stocks
Capital Markets — 0.3%
The Goldman Sachs Group, Inc., Series J, 5.50% (b)						46,000							1,181,740
Commercial Banks — 1.0%
US Bancorp, Series G, 6.00% (b)						150,000							4,020,000
Total Preferred Stocks – 1.3%										5,201,740

Trust Preferreds
Commercial Banks — 0.1%
Citigroup Capital XIII, 7.88%, 10/30/40 (b)					14,773								412,388
Total Preferred Securities – 8.6%										34,785,059

									Par (000)
Taxable Municipal Bonds
City of Detroit Michigan, GO, Taxable Capital Improvement, Limited Tax, Series A-2, 8.00%, 4/01/14				USD			1,525				1,468,438
District of Columbia, Refunding RB, Howard University, Series B, 7.63%, 10/01/35							1,000			1,195,290
									Par (000)			Value
Taxable Municipal Bonds
East Bay Municipal Utility District, RB, Build America Bonds, 5.87%, 6/01/40			USD				950			$				1,207,184
Indianapolis Local Public Improvement Bond Bank, RB, Build America Bonds, 6.12%, 1/15/40							1,275			1,606,015
Iowa Finance Authority, Refunding RB, Iowa Fertilizer Co. Project, 5.25%, 12/01/25							500			514,645
Metropolitan Transportation Authority, RB, Build America Bonds, 7.34%, 11/15/39							625			908,888
Municipal Electric Authority of Georgia Plant Vogtle Units 3 & 4, Refunding RB, Build America Bonds, 7.06%, 4/01/57							1,000			1,089,260
New York City Municipal Water Finance Authority:
	Refunding RB, Second General Resolution, Build America Bonds, Series GG, 5.72%, 6/15/42		700										876,638
	Refunding RB, Second General Resolution, Series EE, 5.38%, 6/15/43		385										436,729
	Refunding RB, Second General Resolution, Series EE, 5.50%, 6/15/43		465										531,927
New York State Dormitory Authority:
	RB, Build America Bonds, 5.63%, 3/15/39		550										655,358
	RB, Build America Bonds, 5.60%, 3/15/40		950										1,148,702
Port Authority of New York & New Jersey, RB, Consolidated, 159th Series, 6.04%, 12/01/29							385			486,729
State of California, GO:
	Build America Bonds, 7.63%, 3/01/40		860										1,249,236
	Various Purpose, 7.55%, 4/01/39		140										201,489
State of Illinois, GO, Taxable-Pension, 5.10%, 6/01/33							1,000			1,007,650
University of California, RB, Build America Bonds, 5.95%, 5/15/45							445			526,840
Total Taxable Municipal Bonds – 3.7%										15,111,018

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

(Percentages shown are based on Net Assets)

				Par (000)	Value
US Government Sponsored Agency Securities
Agency Obligations — 2.6%
Fannie Mae (d):
	2.26%, 10/09/19 (j)	USD	7,055			$	6,120,156
	5.63%, 7/15/37 (k)		775			1,044,408
Federal Home Loan Bank (d):
	5.25%, 12/09/22		675			838,063
	5.37%, 9/09/24		1,075			1,346,717
Resolution Funding Corp. (j):
	1.32%, 7/15/18		525			489,527
	1.37%, 10/15/18		525			489,362
						10,328,233
Collateralized Mortgage Obligations — 0.2%
Fannie Mae Mortgage-Backed Securities, Series 2005-5, Class PK, 5.00%, 12/25/34			431			461,202
Freddie Mac Mortgage-Backed Securities, Series 2825, Class VP, 5.50%, 6/15/15			408			418,286
						879,488
Commercial Mortgage-Backed Securities — 0.7%
Freddie Mac Mortgage-Backed Securities (b):
	Series 2012-K706, Class C, 4.02%, 11/25/44 (a)		165			166,414
	Series 2013-K24, Class B, 3.50%, 11/25/45 (a)		1,750			1,706,024
	Series K013, Class A2, 3.97%, 1/25/21		940			1,035,877
						2,908,315
Interest Only Collateralized Mortgage Obligations — 2.8%
Fannie Mae Mortgage-Backed Securities:
	Series 2010-126, Class UI, 5.50%, 10/25/40		4,950			690,646
	Series 2012-47, Class NI, 4.50%, 4/25/42		5,545			899,774
	Series 2012-96, Class DI, 4.00%, 2/25/27		8,106			932,586
	Series 2012-M9, Class X1, 4.25%, 12/25/17 (b)		13,244			2,011,941
Freddie Mac Mortgage-Backed Securities:
	Series 2611, Class QI, 5.50%, 9/15/32		1,222			125,466
	Series K021, Class X1, 1.51%, 6/25/22 (b)		7,072			761,513
	Series K707, Class X1, 1.56%, 12/25/18 (b)		2,499			187,273
	Series K710, Class X1, 1.78%, 5/25/19 (b)		8,627			784,421

				Par (000)		Value
US Government Sponsored Agency Securities
Interest Only Collateralized Mortgage Obligations (concluded)
Ginnie Mae Mortgage-Backed Securities (b):
	Series 2009-78, Class SD, 6.00%, 9/20/32	USD	6,390				$	1,143,495
	Series 2009-116, Class KS, 6.27%, 12/16/39		4,172			554,936
	Series 2011-52, Class NS, 6.47%, 4/16/41		17,480			3,198,775
						11,290,826
Mortgage-Backed Securities — 8.3%
Fannie Mae Mortgage-Backed Securities:
	3.00%, 6/15/43 (l)		16,300			16,371,312
	4.00%, 12/01/41 (d)		3,601			3,800,613
	4.50%, 7/01/41 (d)		4,738			5,072,370
	5.00%, 8/01/34 (d)		3,278			3,561,212
	5.50%, 6/01/38 (d)		2,129			2,320,875
	6.00%, 12/01/38 (d)		1,825			1,988,080
Freddie Mac Mortgage-Backed Securities, 6.00%, 11/01/13- 12/01/2018			406			435,285
Ginnie Mae Mortgage-Backed Securities, 5.50%, 8/15/33			65			71,676
						33,621,423
Total US Government Sponsored Agency Securities – 14.6%							59,028,285

US Treasury Obligations
US Treasury Bonds (d):
	8.13%, 8/15/21		1,550			2,308,531
	6.25%, 8/15/23		5,085			7,018,886
	3.50%, 2/15/39		330			347,325
	4.25%, 5/15/39		6,045			7,193,550
	4.38%, 5/15/40		6,375			7,736,662
	4.75%, 2/15/41		1,630			2,095,569
	4.38%, 5/15/41		800			971,250
	3.13%, 11/15/41		9,930			9,653,827
	3.13%, 2/15/42		6,268			6,088,773
	3.00%, 5/15/42		2,730			2,582,837
	3.13%, 2/15/43		2,337			2,262,024
US Treasury Notes:
	2.25%, 7/31/18 (d)		495			523,965
	2.00%, 2/15/22 (d)		1,826			1,834,987
	1.75%, 5/15/22		156			152,880
Total US Treasury Obligations – 12.5%					50,771,066

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)
(Percentages shown are based on Net Assets)

			Shares			Value
Warrants (m)
Software — 0.0%
Bankruptcy Management Solutions, Inc., (Expires 9/28/17)	90						—
Total Long-Term Investments (Cost – $564,768,752) – 146.7%		$			595,419,320

						Value
Options Purchased
(Cost – $2,740,320) – 0.7%		$			2,907,466
Total Investments Before Options Written (Cost – $567,509,072*) – 147.4%					598,326,786

Options Written
(Premiums Received – $4,242,034) – (1.0)%					(3,979,406)
Total Investments, Net of Options Written – 146.4%					594,347,380
Liabilities in Excess of Other Assets – (46.4)%					(188,396,555)
Net Assets – 100.0%				$	405,950,825

As of May 31, 2013, gross unrealized appreciation and gross unrealized depreciation based on cost for federal income tax purposes were as follows:

Tax cost	$	568,321,095
Gross unrealized appreciation	$	36,690,238
Gross unrealized depreciation		(6,684,547)
Net unrealized appreciation	$	30,005,691

	Notes to Schedule of Investments
(a)	Security exempt from registration pursuant to Rule 144A under the Securities Act of 1933, as amended. These securities may be resold in transactions exempt from registration to qualified institutional investors.
(b)	Variable rate security. Rate shown is as of report date.
(c)	Non-income producing security.
(d)	All or a portion of security has been pledged as collateral in connection with open reverse repurchase agreements.
(e)	Convertible security.
(f)	Security is perpetual in nature and has no stated maturity date.
(g)	When-issued security. Unsettled when-issued transactions were as follows:

Counterparty		Value		Unrealized Depreciation
Jefferies & Co.	$	180,837	$	(4,163)
Goldman Sachs & Co.	$	364,320	$	(3,680)
Pershing LLC	$	399,990	$	(7,130)

(h)	Issuer filed for bankruptcy and/or is in default of principal and/or interest payments.
(i)	Represents a payment-in-kind security which may pay interest/dividends in additional par/shares.
(j)	Represents a zero-coupon bond. Rate shown reflects the current yield as of report date.
(k)	All or a portion of security has been pledged in connection with open financial futures contracts.
(l)	Represents or includes a TBA transaction. Unsettled TBA transactions as of May 31, 2013 were as follows:

Counterparty		Value		Unrealized Depreciation
Deutsche Bank Securities, Inc.	$	16,371,312	$	(669,828)

(m)

Warrants entitle the Trust to purchase a predetermined number of shares of common stock and are non-income producing. The purchase price and number of shares are subject to adjustment under certain conditions until the expiration date of the warrants, if any.

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

•

Investments in issuers considered to be an affiliate of the Trust during the period ended May 31, 2013, for purposes of Section 2(a)(3) of the Investment Company Act of 1940, as amended, were as follows:

	Affiliate		Shares Held at August 31, 2012		Net Activity		Shares Held at May 31, 2013	Income	Realized Gain
	BlackRock Liquidity Funds, TempFund, Institutional Class		534,025		(534,025)		–	$ 1,942	$72

•

For Trust compliance purposes, the Trust's industry classifications refer to any one or more of the industry sub-classifications used by one or more widely recognized market indexes or rating group indexes, and/or as defined by Trust management. These definitions may not apply for purposes of this report, which may combine such industry sub-classifications for reporting ease.

Portfolio Abbreviations
To simplify the listings of portfolio holdings in the Schedule of Investments, the names and descriptions of many of the securities have been abbreviated according to the following list:
EUR	Euro
EURIBOR	Euro Interbank Offered Rate
GBP	British Pound
GO	General Obligation Bonds
LIBOR	London Interbank Offered Rate
RB	Revenue Bonds
TBA	To Be Announced
USD	US Dollar

•	Reverse repurchase agreements outstanding as of May 31, 2013:
	Counterparty	Interest Rate	Trade Date	Maturity Date¹		Face Value		Face Value Including Accrued Interest
	BNP Paribas Securities Corp.	0.17%	7/18/12	Open	$	7,051,500	$	7,063,458
	Credit Suisse Securities (USA) LLC	0.25%	9/06/12	Open		1,903,605		1,907,148
	Barclays Capital, Inc.	0.35%	9/18/12	Open		3,346,987		3,355,318
	Deutsche Bank Securities, Inc.	(0.63)%	10/24/12	Open		345,482		344,163
	BNP Paribas Securities Corp.	0.35%	1/11/13	Open		4,741,000		4,747,499
	Credit Suisse Securities (USA) LLC	0.35%	1/14/13	Open		2,166,425		2,169,332
	UBS Securities LLC	(0.50)%	1/15/13	Open		496,600		495,662
	UBS Securities LLC	(0.25)%	1/15/13	Open		484,487		484,030
	UBS Securities LLC	0.28%	1/15/13	Open		3,529,338		3,533,071
	UBS Securities LLC	0.32%	1/15/13	Open		985,500		986,692
	UBS Securities LLC	0.32%	1/15/13	Open		1,571,500		1,573,400
	UBS Securities LLC	0.32%	1/15/13	Open		1,438,650		1,440,389
	UBS Securities LLC	0.32%	1/15/13	Open		1,421,275		1,422,993
	UBS Securities LLC	0.32%	1/15/13	Open		2,606,875		2,610,026
	UBS Securities LLC	0.32%	1/15/13	Open		2,375,000		2,377,871
	UBS Securities LLC	0.32%	1/15/13	Open		1,616,250		1,618,204
	UBS Securities LLC	0.32%	1/15/13	Open		2,622,000		2,625,170
	UBS Securities LLC	0.33%	1/15/13	Open		707,000		707,882
	UBS Securities LLC	0.33%	1/15/13	Open		1,223,250		1,224,775
	UBS Securities LLC	0.33%	1/15/13	Open		382,775		383,252
	UBS Securities LLC	0.33%	1/15/13	Open		170,100		170,312
	UBS Securities LLC	0.34%	1/15/13	Open		561,600		562,322
	UBS Securities LLC	0.34%	1/15/13	Open		4,466,948		4,472,685
	UBS Securities LLC	0.34%	1/15/13	Open		871,500		872,619

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

•	Reverse repurchase agreements outstanding as of May 31, 2013 (continued):
	Counterparty	Interest Rate	Trade Date	Maturity Date¹		Face Value		Face Value Including Accrued Interest
	UBS Securities LLC	0.34%	1/15/13	Open	$	1,950,000	$	1,952,505
	UBS Securities LLC	0.34%	1/15/13	Open		1,181,250		1,182,767
	UBS Securities LLC	0.34%	1/15/13	Open		1,354,500		1,356,240
	UBS Securities LLC	0.34%	1/15/13	Open		762,500		763,479
	UBS Securities LLC	0.34%	1/15/13	Open		733,125		734,067
	UBS Securities LLC	0.34%	1/15/13	Open		784,688		785,695
	UBS Securities LLC	0.34%	1/15/13	Open		904,812		905,975
	UBS Securities LLC	0.34%	1/15/13	Open		602,213		602,986
	UBS Securities LLC	0.34%	1/15/13	Open		1,473,750		1,475,643
	UBS Securities LLC	0.34%	1/15/13	Open		334,950		335,380
	UBS Securities LLC	0.34%	1/15/13	Open		1,179,062		1,180,577
	UBS Securities LLC	0.35%	1/15/13	Open		941,250		942,494
	BNP Paribas Securities Corp.	0.35%	1/22/13	Open		1,243,000		1,244,571
	BNP Paribas Securities Corp.	0.35%	1/22/13	Open		883,000		884,116
	Credit Suisse Securities (USA) LLC	0.35%	2/01/13	Open		1,875,750		1,877,938
	Credit Suisse Securities (USA) LLC	0.35%	2/01/13	Open		1,797,390		1,799,487
	Credit Suisse Securities (USA) LLC	0.10%	2/07/13	Open		2,418,000		2,418,759
	Deutsche Bank Securities, Inc.	0.15%	2/07/13	Open		2,194,387		2,195,421
	Deutsche Bank Securities, Inc.	0.16%	2/07/13	Open		6,155,488		6,158,579
	UBS Securities LLC	0.34%	2/07/13	Open		1,095,375		1,096,554
	UBS Securities LLC	0.34%	2/07/13	Open		642,000		642,691
	BNP Paribas Securities Corp.	0.32%	2/08/13	Open		505,000		505,507
	BNP Paribas Securities Corp.	0.32%	2/08/13	Open		1,968,000		1,969,977
	BNP Paribas Securities Corp.	0.15%	2/14/13	Open		9,942,413		9,946,845
	BNP Paribas Securities Corp.	0.33%	2/14/13	Open		1,020,000		1,021,000
	BNP Paribas Securities Corp.	0.34%	2/28/13	Open		2,269,000		2,270,993
	BNP Paribas Securities Corp.	0.34%	2/28/13	Open		1,109,000		1,109,974
	BNP Paribas Securities Corp.	0.33%	3/07/13	Open		2,313,000		2,314,824
	BNP Paribas Securities Corp.	0.33%	3/07/13	Open		1,228,000		1,228,968
	BNP Paribas Securities Corp.	0.33%	3/07/13	Open		1,884,000		1,885,485
	BNP Paribas Securities Corp.	0.33%	3/07/13	Open		1,704,000		1,705,343
	BNP Paribas Securities Corp.	0.33%	3/11/13	Open		879,000		879,661
	BNP Paribas Securities Corp.	0.33%	3/11/13	Open		983,000		983,739
	Citigroup Global Markets, Inc.	0.00%	3/20/13	Open		450,225		450,225
	Bank of America Merrill Lynch	0.20%	4/02/13	Open		7,563,807		7,566,328
	Bank of America Merrill Lynch	0.20%	4/02/13	Open		7,246,125		7,248,540
	Bank of America Merrill Lynch	0.22%	4/02/13	Open		875,812		876,134
	Bank of America Merrill Lynch	0.22%	4/02/13	Open		1,097,844		1,098,246
	Barclays Capital, Inc.	0.35%	4/02/13	Open		553,137		553,455
	Barclays Capital, Inc.	0.35%	4/02/13	Open		727,819		728,236
	Barclays Capital, Inc.	0.35%	4/02/13	Open		304,000		304,174
	Barclays Capital, Inc.	0.35%	4/02/13	Open		5,725,080		5,728,364
	Barclays Capital, Inc.	0.35%	4/02/13	Open		369,609		369,821
	Barclays Capital, Inc.	0.35%	4/02/13	Open		480,938		481,213
	Barclays Capital, Inc.	0.35%	4/02/13	Open		280,250		280,411
	Barclays Capital, Inc.	0.35%	4/02/13	Open		544,531		544,843
	Barclays Capital, Inc.	0.35%	4/02/13	Open		995,362		995,934
	BNP Paribas Securities Corp.	0.19%	4/02/13	Open		2,719,762		2,720,624
	BNP Paribas Securities Corp.	0.20%	4/02/13	Open		533,362		533,540
	BNP Paribas Securities Corp.	0.19%	4/03/13	Open		851,537		851,803
	Credit Suisse Securities (USA) LLC	0.35%	4/03/13	Open		2,020,500		2,021,639
	Credit Suisse Securities (USA) LLC	0.35%	4/03/13	Open		1,700,969		1,701,928
	Credit Suisse Securities (USA) LLC	0.35%	4/03/13	Open		1,648,500		1,649,430
	Credit Suisse Securities (USA) LLC	0.35%	4/03/13	Open		3,437,844		3,439,782

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

•	Reverse repurchase agreements outstanding as of May 31, 2013 (concluded):
	Counterparty	Interest Rate	Trade Date	Maturity Date¹		Face Value		Face Value Including Accrued Interest

	UBS Securities LLC	0.32%	4/11/13	Open	$	1,630,000	$	1,630,808
	UBS Securities LLC	0.40%	4/11/13	Open		4,055,063		4,057,360
	Bank of America Merrill Lynch	0.14%	4/25/13	Open		8,430,938		8,432,151
	BNP Paribas Securities Corp.	0.00%	4/29/13	Open		377,850		377,850
	BNP Paribas Securities Corp.	0.00%	4/29/13	Open		1,039,000		1,039,000
	HSBC Securities (USA), Inc.	0.23%	5/09/13	Open		16,313,000		16,314,980
	BNP Paribas Securities Corp.	0.34%	5/24/13	Open		1,342,000		1,342,101
	Morgan Stanley & Co.	0.12%	5/31/13	Open		2,310,214		2,310,222
	Deutsche Bank Securities, Inc.	0.35%	5/31/13	Open		1,974,375		1,974,394
	Total				$	180,996,003	$	181,130,049

¹Certain agreements have no stated maturity and can be terminated by either party at any time.

•	Financial futures contracts as of May 31, 2013 were as follows:
	Contracts Purchased (Sold)	Issue	Exchange	Expiration		Notional Value	Unrealized Appreciation (Depreciation)
	116	5-Year US Treasury Note	Chicago Board of Trade	September 2013	USD	14,200,031	$	(48,879	)
	390	30-Year US Treasury Bond	Chicago Board of Trade	September 2013	USD	54,612,188		(787,955	)
	81	Ultra Long US Treasury Bond	Chicago Board of Trade	September 2013	USD	12,322,125		(64,525	)
	(12)	90-Day Euro-Dollar	Chicago Mercantile	June 2013	USD	2,991,600		(4,680	)
	(166)	2-Year US Treasury Note	Chicago Board of Trade	September 2013	USD	36,543,344		7,140
	(501)	10-Year US Treasury Note	Chicago Board of Trade	September 2013	USD	64,738,594		498,854
	(12)	90-Day Euro-Dollar	Chicago Mercantile	September 2013	USD	2,990,550		(7,509	)
	(16)	90-Day Euro-Dollar	Chicago Mercantile	December 2013	USD	3,985,400		(12,942	)
	(12)	90-Day Euro-Dollar	Chicago Mercantile	March 2014	USD	2,987,400		(8,154	)
	(9)	90-Day Euro-Dollar	Chicago Mercantile	June 2014	USD	2,239,200		(3,998	)
	(9)	90-Day Euro-Dollar	Chicago Mercantile	September 2014	USD	2,237,512		(6,987	)
	(9)	90-Day Euro-Dollar	Chicago Mercantile	December 2014	USD	2,235,487		(7,486	)
	(49)	90-Day Euro-Dollar	Chicago Mercantile	March 2015	USD	12,157,513		21,943
	(40)	90-Day Euro-Dollar	Chicago Mercantile	June 2015	USD	9,911,500		(33,284	)
	(40)	90-Day Euro-Dollar	Chicago Mercantile	September 2015	USD	9,896,500		32,412
	(40)	90-Day Euro-Dollar	Chicago Mercantile	December 2015	USD	9,879,500		(35,610	)
	Total						$	(461,660	)

•	Foreign currency exchange contracts as of May 31, 2013 were as follows:
	Currency Purchased		Currency Sold			Counterparty		Settlement Date		Unrealized Appreciation (Depreciation)
	EUR	6,076		USD	7,882		Citigroup, Inc.		6/04/13	$	15
	GBP	1,626,000		USD	2,457,106		Deutsche Bank AG		7/17/13		12,712
	USD	10,122,450		GBP	6,612,000		Barclays Plc		7/17/13		79,134
	EUR	202,710		USD	260,821		Bank of New York Mellon Corp.		7/23/13		2,721
	EUR	261,000		USD	339,695		Goldman Sachs Group, Inc.		7/23/13		(370)
	USD	9,871,209		EUR	7,518,057		Citigroup, Inc.		7/23/13		97,023
	USD	175,976		EUR	135,000		Goldman Sachs Group, Inc.		7/23/13		463
	Total									$	191,698

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

• Over-the-counter interest rate swaptions purchased as of May 31, 2013 were as follows:

Description	Counterparty	Put/ Call	Exercise Rate	Pay/Receive Exercise Rate	Floating Rate Index	Expiration Date	Notional Amount (000)			Market Value
10-Year Interest Rate Swap	Barclays Plc	Call	1.70%	Receive	3-month LIBOR	8/09/13	USD	1,000	$	197
10-Year Interest Rate Swap	Deutsche Bank AG	Call	1.70%	Receive	3-month LIBOR	8/09/13	USD	600		118
10-Year Interest Rate Swap	JPMorgan Chase & Co.	Call	2.11%	Receive	3-month LIBOR	9/03/13	USD	5,200		23,653
30-Year Interest Rate Swap	JPMorgan Chase & Co.	Put	3.75%	Pay	3-month LIBOR	6/03/13	USD	2,400		—
10-Year Interest Rate Swap	JPMorgan Chase & Co.	Put	2.40%	Pay	3-month LIBOR	9/03/13	USD	5,200		90,300
10-Year Interest Rate Swap	Deutsche Bank AG	Put	3.75%	Pay	3-month LIBOR	2/16/16	USD	2,300		86,475
10-Year Interest Rate Swap	Deutsche Bank AG	Put	3.50%	Pay	3-month LIBOR	2/22/16	USD	5,000		228,327
10-Year Interest Rate Swap	Goldman Sachs Group, Inc.	Put	4.00%	Pay	3-month LIBOR	3/14/16	USD	15,000		483,090
10-Year Interest Rate Swap	Deutsche Bank AG	Put	4.50%	Pay	3-month LIBOR	3/16/17	USD	6,300		211,595
10-Year Interest Rate Swap	Deutsche Bank AG	Put	4.00%	Pay	3-month LIBOR	4/23/18	USD	2,500		145,121
10-Year Interest Rate Swap	Deutsche Bank AG	Put	4.00%	Pay	3-month LIBOR	4/24/18	USD	1,000		58,072
10-Year Interest Rate Swap	Deutsche Bank AG	Put	4.00%	Pay	3-month LIBOR	5/01/18	USD	2,500		145,607
10-Year Interest Rate Swap	Deutsche Bank AG	Put	4.00%	Pay	3-month LIBOR	5/17/18	USD	19,950		1,170,193
10-Year Interest Rate Swap	Deutsche Bank AG	Put	4.50%	Pay	3-month LIBOR	5/22/18	USD	6,000		264,718
Total									$	2,907,466

• Over-the-counter interest rate swaptions written as of May 31, 2013 were as follows:

Description	Counterparty	Put/ Call	Exercise Rate	Pay/ Receive Exercise Rate	Floating Rate Index	Expiration Date	Notional Amount (000)			Market Value
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Call	1.00%	Pay	3-month LIBOR	4/08/14	USD	15,200	$	(27,682)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Call	2.06%	Pay	3-month LIBOR	4/09/14	USD	16,100		(433,871)
5-Year Interest Rate Swap	BNP Paribas SA	Call	1.15%	Pay	3-month LIBOR	6/09/14	USD	30,300		(101,486)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Call	1.00%	Pay	3-month LIBOR	7/11/14	USD	15,500		(30,134)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Call	1.48%	Pay	3-month LIBOR	7/31/14	USD	10,000		(82,817)
5-Year Interest Rate Swap	Deutsche Bank AG	Call	1.00%	Pay	3-month LIBOR	8/01/14	USD	9,700		(19,117)
5-Year Interest Rate Swap	Goldman Sachs Group, Inc.	Call	1.25%	Pay	3-month LIBOR	2/04/15	USD	6,200		(26,700)
5-Year Interest Rate Swap	Deutsche Bank AG	Put	1.00%	Receive	6-month EURIBOR	8/21/13	EUR	10,000		(84,004)
5-Year Interest Rate Swap	Deutsche Bank AG	Put	1.05%	Receive	6-month EURIBOR	8/23/13	EUR	5,000		(35,410)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Put	2.00%	Receive	3-month LIBOR	4/08/14	USD	15,200		(139,188)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Put	2.06%	Receive	3-month LIBOR	4/09/14	USD	16,100		(136,101)
5-Year Interest Rate Swap	BNP Paribas SA	Put	2.15%	Receive	3-month LIBOR	6/09/14	USD	30,300		(300,167)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Put	2.00%	Receive	3-month LIBOR	7/11/14	USD	15,500		(209,281)
5-Year Interest Rate Swap	JPMorgan Chase & Co.	Put	1.48%	Receive	3-month LIBOR	7/31/14	USD	10,000		(260,110)
5-Year Interest Rate Swap	Deutsche Bank AG	Put	2.00%	Receive	3-month LIBOR	8/01/14	USD	9,700		(141,003)
3-Year Interest Rate Swap	Deutsche Bank AG	Put	1.30%	Receive	3-month LIBOR	4/15/15	USD	2,500		(46,530)
3-Year Interest Rate Swap	JPMorgan Chase Bank	Put	1.30%	Receive	3-month LIBOR	4/15/15	USD	2,500		(46,531)
3-Year Interest Rate Swap	Barclays Plc	Put	1.40%	Receive	3-month LIBOR	5/07/15	USD	2,500		(45,207)
5-Year Interest Rate Swap	Goldman Sachs Group, Inc.	Put	2.25%	Receive	3-month LIBOR	2/04/16	USD	6,200		(120,588)
10-Year Interest Rate Swap	Deutsche Bank AG	Put	6.00%	Receive	3-month LIBOR	3/16/17	USD	12,600		(167,882)
10-Year Interest Rate Swap	Deutsche Bank AG	Put	5.50%	Receive	3-month LIBOR	4/23/18	USD	5,000		(123,367)
10-Year Interest Rate Swap	Deutsche Bank AG	Put	5.50%	Receive	3-month LIBOR	4/24/18	USD	2,000		(49,375)
10-Year Interest Rate Swap	Deutsche Bank AG	Put	5.50%	Receive	3-month LIBOR	5/01/18	USD	5,000		(123,943)
10-Year Interest Rate Swap	Deutsche Bank AG	Put	5.50%	Receive	3-month LIBOR	5/17/18	USD	39,900		(998,709)
10-Year Interest Rate Swap	Deutsche Bank AG	Put	6.00%	Receive	3-month LIBOR	5/22/18	USD	12,000		(230,203)
Total									$	(3,979,406)

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

•

Credit default swaps - buy protection outstanding as of May 31, 2013 were as follows:

Issuer

Pay
Fixed
Rate

Counterparty

Expiration
Date

Notional
Amount
(000)

Unrealized Depreciation

Radian Group, Inc.

5.00%

Citigroup, Inc.

6/20/15

USD

1,400

(132,332)

The New York Times Co.

1.00%

Barclays Plc

12/20/16

USD

1,800

(59,135)

Australia & New Zealand Banking Group Ltd.

1.00%

Deutsche Bank AG

9/20/17

USD

(20)

Westpac Banking Corp.

1.00%

Deutsche Bank AG

9/20/17

USD

(21)

Total

(191,508)

•

Credit default swaps - sold protection outstanding as of May 31, 2013 were as follows:

Issuer

Receive
Fixed
Rate

Counterparty

Expiration
Date

Credit Rating¹

Notional
Amount
(000)²

Unrealized Appreciation

MetLife, Inc.

1.00%

Credit Suisse International

9/20/16

A-

USD

535

36,244

MetLife, Inc.

1.00%

Deutsche Bank AG

9/20/16

A-

USD

730

45,632

MetLife, Inc.

1.00%

Goldman Sachs Group, Inc.

9/20/16

A-

USD

500

30,513

MetLife, Inc.

1.00%

Morgan Stanley

9/20/16

A-

USD

900

55,294

MetLife, Inc.

1.00%

Morgan Stanley

9/20/16

A-

USD

275

15,295

MetLife, Inc.

1.00%

Citigroup, Inc.

12/20/16

A-

USD

298

16,964

MetLife, Inc.

1.00%

Citigroup, Inc.

12/20/16

A-

USD

285

17,486

Total

217,428

¹ Using Standard & Poor’s (“S&P”) rating of the issuer.

²The maximum potential amount the Trust may pay should a negative credit event take place as defined under the terms of the agreement.

•

Interest rate swaps outstanding as of May 31, 2013 were as follows:

Fixed
Rate

Floating
Rate

Counterparty/Clearing House

Expiration
Date

Notional
Amount
(000)

Unrealized Appreciation (Depreciation)

0.36%³

3-month LIBOR

Barclays Plc

4/26/15

USD

17,900

34,369

0.36%³

3-month LIBOR

JPMorgan Chase & Co.

4/26/15

USD

18,000

33,713

0.36%⁴

3-month LIBOR

Deutsche Bank AG

4/26/15

USD

18,000

(33,713)

0.45%⁴

3-month LIBOR

Bank of America NA

6/04/15

USD

18,000

(9,574)

1.41%⁴

3-month LIBOR

Bank of America NA

2/28/20

USD

4,000

(76,164)

1.75%³

3-month LIBOR

Goldman Sachs Group, Inc.

5/31/20

USD

24,900

27,899

2.06%⁴

3-month LIBOR

Deutsche Bank AG

2/25/23

USD

3,400

(71,092)

2.11%⁴

3-month LIBOR

Goldman Sachs Group, Inc.

3/14/23

USD

3,000

(51,499)

2.13%⁴

3-month LIBOR

Barclays Plc

3/15/23

USD

1,500

(23,126)

1.99%⁴

3-month LIBOR

Citigroup, Inc.

4/03/23

USD

4,700

(134,642)

2.29%³

3-month LIBOR

Chicago Mercantile Exchange

5/30/23

USD

2,323

10,369

2.21%⁴

3-month LIBOR

Deutsche Bank AG

4/26/24

USD

2,500

(105,603)

2.67%⁴

3-month LIBOR

Deutsche Bank AG

6/03/24

USD

2,500

(11,271)

2.52%³

3-month LIBOR

Citigroup, Inc.

9/04/42

USD

1,600

222,542

2.49%³

6-month EURIBOR

Citigroup, Inc.

1/15/43

EUR

500

(11,893)

2.49%⁴

6-month EURIBOR

Deutsche Bank AG

1/15/43

EUR

500

11,893

3.05%³

3-month LIBOR

Deutsche Bank AG

2/07/43

USD

4,800

174,967

3.04%³

3-month LIBOR

Deutsche Bank AG

3/28/43

USD

2,400

95,468

2.98%³

3-month LIBOR

Citigroup, Inc.

4/05/43

USD

100

4,993

2.88%³

3-month LIBOR

JPMorgan Chase & Co.

4/16/43

USD

5,100

364,721

2.85%³

3-month LIBOR

Deutsche Bank AG

4/29/43

USD

1,000

76,094

2.85%³

3-month LIBOR

JPMorgan Chase & Co.

4/29/43

USD

1,000

76,242

3.08%³

3-month LIBOR

Credit Suisse Group International

5/21/43

USD

2,500

75,966

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

•

Interest rate swaps outstanding as of May 31, 2013 (concluded):

Fixed
Rate

Floating
Rate

Counterparty/Clearing House

Expiration
Date

Notional
Amount
(000)

Unrealized Appreciation (Depreciation)

2.96%³

3-month LIBOR

Deutsche Bank AG

4/26/44

USD

1,100

89,615

3.36%³

3-month LIBOR

Deutsche Bank AG

6/03/44

USD

1,200

8,898

Total

779,172

Trust pays the fixed rate and receives the floating rate.

⁴

Trust pays the floating rate and receives the fixed rate.

•

Fair Value Measurements - Various inputs are used in determining the fair value of investments and derivative financial instruments. These inputs to valuation techniques are categorized into a disclosure hierarchy consisting of three broad levels for financial reporting purposes as follows:

•

Level 1 — unadjusted price quotations in active markets/exchanges for identical assets or liabilities that the Trust has the ability to access

•

Level 2 — other observable inputs (including, but not limited to, quoted prices for similar assets or liabilities in markets that are active, quoted prices for identical or similar assets or liabilities in markets that are not active, inputs other than quoted prices that are observable for the assets or liabilities (such as interest rates, yield curves, volatilities, prepayment speeds, loss severities, credit risks and default rates) or other market-corroborated inputs)

•

Level 3 — unobservable inputs based on the best information available in the circumstances, to the extent observable inputs are not available (including the Trust's own assumptions used in determining the fair value of investments and derivative financial instruments)

The hierarchy gives the highest priority to unadjusted quoted prices in active markets for identical assets or liabilities (Level 1 measurements) and the lowest priority to unobservable inputs (Level 3 measurements). Accordingly, the degree of judgment exercised in determining fair value is greatest for instruments categorized in Level 3. The inputs used to measure fair value may fall into different levels of the fair value hierarchy. In such cases, for disclosure purposes, the fair value hierarchy classification is determined based on the lowest level input that is significant to the fair value measurement in its entirety.

Changes in valuation techniques may result in transfers into or out of an assigned level within the disclosure hierarchy. In accordance with the Trust's policy, transfers between different levels of the fair value disclosure hierarchy are deemed to have occurred as of the beginning of the reporting period. The categorization of a value determined for investments and derivative financial instruments is based on the pricing transparency of the investment and derivative financial instrument and is not necessarily an indication of the risks associated with investing in those securities. For information about the Trust's policy regarding valuation of investments and derivative financial instruments, please refer to the Trust's most recent financial statements as contained in its semi-annual report.

The following tables summarize the Trust's investments and derivative financial instruments categorized in the disclosure hierarchy as of May 31, 2013:

			Level 1				Level 2					Level 3				Total
Assets:
Investments:
Long-Term Investments:
	Asset-Backed Securities			—	$			20,591,503		$		10,905,096		$		31,496,599
	Common Stocks			—				—				163,400				163,400
	Corporate Bonds			—				330,903,921				6,407,900				337,311,821
	Foreign Agency Obligations			—				2,997,678				—				2,997,678
	Non-Agency Mortgage-Backed Securities			—				63,671,808				82,586				63,754,394
	Preferred Securities	$		5,614,128				29,170,931				—				34,785,059
	Taxable Municipal Bonds			—				15,111,018				—				15,111,018
	US Government Sponsored Agency Securities			—				59,028,285				—				59,028,285
	US Treasury Obligations			—				50,771,066				—				50,771,066
Options Purchased:
	Interest Rate Contracts			—				2,907,466				—				2,907,466
Total		$		5,614,128		$			575,153,676		$		17,558,982		$	598,326,786

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (continued)

BlackRock Core Bond Trust (BHK)

		Level 1			Level 2		Level 3			Total
Derivative Financial Instruments¹
Assets
Credit contracts			—	$		217,428		—	$	217,428
Foreign currency exchange contracts			—			192,068		—		192,068
Interest rate contracts	$		560,349			1,307,749		—		1,868,098
Liabilities
Credit contracts			—			(191,508)		—		(191,508)
Foreign currency exchange contracts			—			(370)		—		(370)
Interest rate contracts			(1,022,009)			(4,507,786)		—		(5,529,795)
Total	$		(461,660)	$		(2,982,419)		—	$	(3,444,079)

Derivative financial instruments are swaps, financial futures contracts, foreign currency exchange contracts and options written. Swaps, financial futures contracts and foreign currency exchange contracts are valued at the unrealized appreciation/depreciation on the instrument and options written are shown at value.

Certain of the Trust’s assets and liabilities are held at carrying amount or face value, which approximates fair value for financial reporting purposes. As of May 31, 2013, such assets and liabilities are categorized within the disclosure hierarchy as follows:

			Level 1			Level 2		Level 3		Total
Assets:
	Foreign currency at value	$		2,255			—	—	$	2,255
	Cash pledged for financial futures contracts			1,041,000			—	—		1,041,000
	Cash pledged as collateral for reverse repurchase agreements			2,406,000			—	—		2,406,000
	Cash pledged as collateral for swaps			1,440,000			—	—		1,440,000
	Cash pledged as collateral for centrally cleared swaps			80,000			—	—		80,000
Liabilities:
	Bank overdraft			—	$		(844,486)	—		(844,486)
	Reverse repurchase agreements			—			(180,996,003)	—		(180,996,003)
	Cash received as collateral for swaps			—			(600,000)	—		(600,000)
Total		$		4,969,255	$		(182,440,489)	—	$	(177,471,234)

There were no transfers between Level 1 and Level 2 during the period ended May 31, 2013.

Certain of the Trust’s investments that are categorized as Level 3 were valued utilizing transaction prices or third party pricing information without adjustment. Such valuations are based on unobservable inputs. A significant change in third party information inputs could result in a significantly lower or higher value of such Level 3 investments.

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Schedule of Investments (concluded)

BlackRock Core Bond Trust (BHK)

A reconciliation of Level 3 investments is presented when the Trust had a significant amount of Level 3 investments at the beginning and/or end of the period in relation to net assets. The following table is a reconciliation of Level 3 investments for which significant unobservable inputs were used in determining fair value:

	Asset-Backed Securities		Common Stocks		Corporate Bonds		Non-Agency Mortgage-Backed Securities		Total
Assets:
Opening Balance, as of August 31, 2012	$	1,505,315	$	1	$	5,224,808	$	511,457	$	7,241,581
Transfers into Level 3¹		—		—		4,712,948		—		4,712,948
Transfers out of Level 3¹		(745,445)		—		—		—		(745,445)
Accrued discounts/premiums		(334,082)		—		(11,673)		2,443		(343,312)
Net realized gain (loss)		—		—		1,477		30,076		31,553
Net change in unrealized appreciation/depreciation²		337,407		163,399		(221,183)		(1,882)		277,741
Purchases		10,141,901		—		—		—		10,141,901
Sales		—		—		(3,298,477)		(459,508)		(3,757,985)

Closing Balance, as of May 31, 2013	$	10,905,096	$	163,400	$	6,407,900	$	82,586	$	17,558,982

Transfers into and transfers out of Level 3 represent the values as of the beginning of the reporting period. As of August 31, 2012, the Trust used observable inputs in determining the value of certain investments. As of May 31, 2013, the Trust used significant unobservable inputs in determining the value of the same investments. As a result, investments with a beginning of period value of $4,712,948 transferred from Level 2 to Level 3 in the disclosure hierarchy.

The change in unrealized appreciation/depreciation on investments still held as of May 31, 2013 was $280,475.

BLACKROCK CORE BOND TRUST

MAY 31, 2013

Item 2 – Controls and Procedures

2(a) – The registrant's principal executive and principal financial officers, or persons performing similar functions, have concluded that the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the ″1940 Act″)) are effective as of a date within 90 days of the filing of this report based on the evaluation of these controls and procedures required by Rule 30a-3(b) under the 1940 Act and Rule 13a-15(b) under the Securities Exchange Act of 1934, as amended.

2(b) – There were no changes in the registrant's internal control over financial reporting (as defined in Rule 30a-3(d) under the 1940 Act) that occurred during the registrant's last fiscal quarter that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting.

Item 3 – Exhibits

Certifications – Attached hereto

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

BlackRock Core Bond Trust

By:	/s/ John M. Perlowski
	John M. Perlowski
	Chief Executive Officer (principal executive officer) of
	BlackRock Core Bond Trust

Date: July 25, 2013

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed below by the following persons on behalf of the registrant and in the capacities and on the dates indicated.

By:	/s/ John M. Perlowski
	John M. Perlowski
	Chief Executive Officer (principal executive officer) of
	BlackRock Core Bond Trust

Date: July 25, 2013

By:	/s/ Neal J. Andrews
	Neal J. Andrews
	Chief Financial Officer (principal financial officer) of
	BlackRock Core Bond Trust

Date: July 25, 2013