UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM N-CSR

CERTIFIED SHAREHOLDER REPORT OF REGISTERED

MANAGEMENT INVESTMENT COMPANIES

Investment Company Act File Number:    811-22707                                         

Cohen & Steers Limited Duration Preferred and Income Fund, Inc.

(Exact name of registrant as specified in charter)

280 Park Avenue, New York, NY 10017

(Address of principal executive offices) (Zip code)

Dana A. DeVivo

Cohen & Steers Capital Management, Inc.

280 Park Avenue

New York, New York 10017

(Name and address of agent for service)

Registrant’s telephone number, including area code:    (212) 832-3232                                         

Date of fiscal year end:    December 31                                         

Date of reporting period:    June 30, 2019                                        

Item 1. Reports to Stockholders.

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

To Our Shareholders:

We would like to share with you our report for the six months ended June 30, 2019. The total returns for Cohen & Steers Limited Duration Preferred and Income Fund, Inc. (the Fund) and its comparative benchmarks were:

	Six Months Ended June 30, 2019
Cohen & Steers Limited Duration Preferred and Income Fund at Net Asset Valuea		12.87	%
Cohen & Steers Limited Duration Preferred and Income Fund at Market Valuea		18.64	%
ICE BofAML US Capital Securities Indexb		11.13	%
Blended Benchmark—60% ICE BofAML US IG Institutional Capital Securities Index/20% ICE BofAML 7% Constrained Adjustable Rate Preferred Securities Index/20% Bloomberg Barclays Developed Market USD Contingent Capital Indexb		11.72	%
Bloomberg Barclays US Aggregate Bond Indexb		6.11	%

The performance data quoted represent past performance. Past performance is no guarantee of future results. The investment return and the principal value of an investment will fluctuate and shares, if sold, may be worth more or less than their original cost. Current performance may be lower or higher than the performance data quoted. Performance results reflect the effects of leverage, resulting from borrowings under a credit agreement. Current total returns of the Fund can be obtained by visiting our website at cohenandsteers.com. The Fund’s returns assume the reinvestment of all dividends and distributions at prices obtained under the Fund’s dividend reinvestment plan. Index performance does not reflect the deduction of any fees, taxes or expenses. An investor cannot invest directly in an index. Performance figures for periods shorter than one year are not annualized.

Managed Distribution Policy

The Fund, acting in accordance with an exemptive order received from the U.S. Securities and Exchange Commission (SEC) and with approval of its Board of Directors (the Board), adopted a managed distribution policy under which the Fund intends to include long-term capital gains, where applicable, as part of the regular monthly cash distributions to its shareholders (the Plan). The Plan gives the Fund greater flexibility to realize long-term capital gains and to distribute those gains on a regular monthly basis. In accordance with the Plan, the Fund currently distributes $0.156 per share on a monthly basis.

The Fund may pay distributions in excess of the Fund’s investment company taxable income and net realized gains. This excess would be a return of capital distributed from the Fund’s assets. Distributions of capital decrease the Fund’s total assets and, therefore, could have the effect of increasing the Fund’s expense ratio. In addition, in order to make these distributions, the Fund may have to sell portfolio securities at a less than opportune time.

^a  As a closed-end investment company, the price of the Fund’s exchange-traded shares will be set by market forces and can deviate from the net asset value (NAV) per share of the Fund.

^b  For benchmark descriptions, see page 4.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Shareholders should not draw any conclusions about the Fund’s investment performance from the amount of these distributions or from the terms of the Fund’s Plan. The Fund’s total return based on net asset value is presented in the table above as well as in the Financial Highlights table.

The Plan provides that the Board may amend or terminate the Plan at any time without prior notice to Fund shareholders; however, at this time, there are no reasonably foreseeable circumstances that might cause the termination. The termination of the Plan could have the effect of creating a trading discount (if the Fund’s stock is trading at or above NAV) or widening an existing trading discount.

Market Review

Limited-duration preferred securities advanced in the first six months of 2019, though with more modest returns than longer-duration bonds. Central banks signaled a willingness to ease monetary conditions in the face of weak economic data, an uncertain trade outlook and declining inflation. With economies slowing but still relatively healthy, credit markets generally responded positively to the expected stimulus. Returns for limited-duration preferreds exceeded those of 1-3 year investment-grade corporate bonds, another low-duration fixed income category. However, they generally trailed longer-duration fixed income assets, notably longer-dated U.S. Treasuries and longer maturity investment-grade corporate bonds.

Sovereign bond yields broadly declined in response to weaker economic forecasts. The yield on the 10-year U.S. Treasury fell to 2.0% from a high of 2.6% at the start of the year, and the entire yield curve inverted relative to overnight lending rates. Yields on 10-year German and Japanese sovereign bonds both fell below zero for the first time since 2016, while the French equivalent dropped to zero for the first time. U.K. 10-year government bond yields also ended lower, showing volatility in response to shifting sentiment toward Brexit.

The U.S. Federal Reserve left rates unchanged at its June meeting but strongly suggested that rate cuts were in the offing, with seven Federal Open Market Committee (FOMC) members projecting rate cuts via the “dot plot” showing their forward rate expectations. As well, European Central Bank (ECB) President Mario Draghi set the stage for further easing to combat the decline in inflation expectations, including the possibility of additional rate cuts and greater quantitative easing measures. With economies slowing but still relatively healthy, credit markets responded positively to the anticipated stimulus.

Fund Performance

The Fund had a positive total return in the six months ended June 30, 2019, and outperformed its blended benchmark on both a NAV and market price basis. Declining interest rates and a record amount of negative-yielding debt helped fuel demand for preferreds and other higher-yielding securities during the period. The Fund’s allocation to longer-duration and credit-sensitive perpetual securities contributed to relative performance.

Central banks’ dovish turn was seen as a positive for corporate credit fundamentals, benefiting lower-quality securities. With sovereign yields falling and credit spreads contracting, the Fund’s allocations to securities with higher amounts of call protection added to the Fund’s relative performance, as prices of these securities rose more significantly as yields fell. This included choosing not to own certain issues with shorter time periods before issuers’ call dates or resets, as well as overweight positions in certain securities with longer-dated calls or resets.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Contingent capital securities (CoCos) were strong performers, aided in part by expectations of further easing actions by the ECB. However, the Fund’s security selection in CoCos detracted from relative performance. The Fund held overweight positions in certain CoCos that we believed were of higher quality, but which underperformed.

At the sector level, security selection in utilities contributed to relative performance, due in part to a non-allocation in high-quality, shorter-dated issues from Dominion Resources, and an overweight in a long-dated issue from Enel that benefited from European spread tightening.

The Fund’s security selection in the banking, insurance and finance sectors detracted from relative performance. The Fund held out-of-index or overweight positions in several securities with limited call protection and therefore only modest upside potential. Security selection in pipelines further detracted. The Fund did not own certain long-duration securities with low resets from pipeline issuers that outperformed as credit spreads narrowed.

Impact of Leverage on Fund Performance

The Fund employs leverage as part of a yield-enhancement strategy. Leverage, which can increase total return in rising markets (just as it can have the opposite effect in declining markets), significantly contributed to the Fund’s performance for the six-month period ended June 30, 2019.

Impact of Derivatives on Fund Performance

In connection with its use of leverage, the Fund pays interest on borrowings based on a floating rate under the terms of its credit agreement. To reduce the impact that an increase in interest rates could have on the performance of the Fund with respect to these borrowings, the Fund used interest rate swaps to exchange a significant portion of the floating rate for a fixed rate. The Fund’s use of swaps detracted from the Fund’s performance for the six-month period ended June 30, 2019.

The Fund used derivatives in the form of currency options for hedging purposes, as well as forward foreign currency exchange contracts for managing currency risk on certain Fund positions denominated in foreign currencies. These instruments did not have a material effect on the Fund’s total return for the six-month period ended June 30, 2019.

Sincerely,

WILLIAM F. SCAPELL	ELAINE ZAHARIS-NIKAS
Portfolio Manager	Portfolio Manager

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Benchmark Descriptions

The ICE BofAML US Capital Securities Index is a subset of ICE BofAML US Corporate Index including securities with deferrable coupons. The ICE BofAML US IG Institutional Capital Securities Index tracks the performance of US dollar denominated investment-grade hybrid capital corporate and preferred securities publicly issued in the US domestic market. The ICE BofAML 7% Constrained Adjustable Rate Preferred Securities Index tracks the performance of US dollar-denominated investment-grade floating-rate preferred securities publicly issued in the US domestic market, but with issuer exposure capped at 7%. The Bloomberg Barclays Developed Market USD Contingent Capital Index includes hybrid capital securities in developed markets with explicit equity conversion or write down loss absorption mechanisms that are based on an issuer’s regulatory capital ratio or other explicit solvency-based triggers. The Bloomberg Barclays US Aggregate Bond Index is a broad-market measure of the U.S. dollar-denominated investment-grade fixed-rate taxable bond market. The index includes Treasuries, government-related and corporate securities, mortgage-backed securities, asset-backed securities, and commercial mortgage-backed securities. Benchmark returns are shown for comparative purposes only and may not be representative of the Fund’s portfolio.

The views and opinions in the preceding commentary are subject to change without notice and are as of the date of the report. There is no guarantee that any market forecast set forth in the commentary will be realized. This material represents an assessment of the market environment at a specific point in time, should not be relied upon as investment advice and is not intended to predict or depict performance of any investment.

Visit Cohen & Steers online at cohenandsteers.com

For more information about the Cohen & Steers family of mutual funds, visit cohenandsteers.com. Here you will find fund net asset values, fund fact sheets and portfolio highlights, as well as educational resources and timely market updates.

Our website also provides comprehensive information about Cohen & Steers, including our most recent press releases, profiles of our senior investment professionals and their investment approach to each asset class. The Cohen & Steers family of mutual funds specializes in liquid real assets, including real estate securities, listed infrastructure and natural resource equities, as well as preferred securities and other income solutions.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Our Leverage Strategy

(Unaudited)

Our current leverage strategy utilizes borrowings up to the maximum permitted by the Investment Company Act of 1940 to provide additional capital for the Fund, with an objective of increasing the net income available for shareholders. As of June 30, 2019, leverage represented 30% of the Fund’s managed assets.

It has been our philosophy to utilize interest rate swap transactions to seek to reduce the interest rate risk inherent in our utilization of leverage. Considering that the Fund’s borrowings have variable interest rate payments, we seek to lock in those rates on a significant portion of this additional capital through interest rate swap agreements (where we effectively convert our variable rate obligations to fixed-rate obligations for the term of the swap agreements). Locking in a significant portion of our leveraging costs is designed to protect the dividend-paying ability of the Fund. The use of leverage increases the volatility of the Fund’s NAV in both up and down markets. However, we believe that locking in a portion of the Fund’s leveraging costs for the term of the swap agreements partially protects the Fund’s expenses from an increase in short-term interest rates.

Leverage Facts^a,b

Leverage (as a % of managed assets)	30%
% Fixed Rate	86%
% Variable Rate	14%
Weighted Average Rate on Swaps:
Fixed Rate (Payer)	1.3%
Floating Rate (Receiver)	2.4%
Weighted Average Term on Swaps	3.4 years
Current Rate on Debt	3.2%

The Fund seeks to enhance its dividend yield through leverage. The use of leverage is a speculative technique and there are special risks and costs associated with leverage. The NAV of the Fund’s shares may be reduced by the issuance and ongoing costs of leverage. So long as the Fund is able to invest in securities that produce an investment yield that is greater than the total cost of leverage, the leverage strategy will produce higher current net investment income for shareholders. On the other hand, to the extent that the total cost of leverage exceeds the incremental income gained from employing such leverage, shareholders would realize lower net investment income. In addition to the impact on net income, the use of leverage will have an effect of magnifying capital appreciation or depreciation for shareholders. Specifically, in an up market, leverage will typically generate greater capital appreciation than if the Fund were not employing leverage. Conversely, in down markets, the use of leverage will generally result in greater capital depreciation than if the Fund had been unlevered. To the extent that the Fund is required or elects to reduce its leverage, the Fund may need to liquidate investments, including under adverse economic conditions which may result in capital losses potentially reducing returns to shareholders. There can be no assurance that a leveraging strategy will be successful during any period in which it is employed.

^a  Data as of June 30, 2019. Information is subject to change.

^b  See Note 7 in Notes to Financial Statements.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

June 30, 2019

Top Ten Holdings^a

(Unaudited)

Security	Value		% of Managed Assets
Wells Fargo & Co., 6.18%, Series K (FRN)	$	30,088,768		2.9
Mellon Capital IV, 4.00%, Series 1 (FRN)		27,175,098		2.6
General Electric Co., 5.00%, Series D		21,789,530		2.1
BAC Capital Trust XIV, 4.00%, Series G (FRN)		19,482,514		1.9
GMAC Capital Trust I, 8.303%, due 2/15/40, Series 2 (TruPS) (FRN)		19,263,585		1.9
JPMorgan Chase & Co., 6.053%, Series I (FRN)		19,000,261		1.8
Meiji Yasuda Life Insurance Co., 5.20%, due 10/20/45, 144A (Japan)		18,683,085		1.8
Prudential Financial, Inc., 5.625%, due 6/15/43		17,169,540		1.7
Credit Agricole SA, 8.125%, 144A (France)		16,870,609		1.6
BHP Billiton Finance USA Ltd., 6.75%, due 10/19/75, 144A (Australia)		15,652,524		1.5

^a Top ten holdings are determined on the basis of the value of individual securities held. The Fund may also hold positions in other types of securities issued by the companies listed above. See the Schedule of Investments for additional details on such other positions.

Sector Breakdown

(Based on Managed Assets)

(Unaudited)

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS

June 30, 2019 (Unaudited)

		Shares		Value
PREFERRED SECURITIES—$25 PAR VALUE	16.7%
BANKS	4.6%
Citizens Financial Group, Inc., 6.35% to 4/6/24, Series Da,b			100,000	$	2,680,000
GMAC Capital Trust I, 8.303% (3 Month US LIBOR + 5.785%), due 2/15/40, Series 2 (TruPS) (FRN)c			737,221		19,263,585
Goldman Sachs Group, Inc./The, 4.00% (3 Month US LIBOR + 0.67%), Series D (FRN)a,c			131,650		2,642,215
Regions Financial Corp., 5.70% to 5/15/29, Series Ca,b			220,000		5,687,000
Synovus Financial Corp., 5.875% to 7/1/24, Series Ea,b			122,000		3,159,800
					33,432,600
FINANCIAL—INVESTMENT BANKER/BROKER	2.6%
Morgan Stanley, 4.00% (3 Month US LIBOR + 7.00%), Series A (FRN)a,c			365,254		7,436,571
Morgan Stanley, 6.875% to 1/15/24, Series Fa,b			222,375		6,101,970
Morgan Stanley, 6.375% to 10/15/24, Series Ia,b			210,980		5,658,484
					19,197,025
INDUSTRIALS—CHEMICALS	2.1%
CHS, Inc., 7.10% to 3/31/24, Series 2a,b			287,664		7,551,180
CHS, Inc., 6.75% to 9/30/24, Series 3a,b			192,523		4,972,869
CHS, Inc., 7.50%, Series 4a			100,000		2,721,000
					15,245,049
INSURANCE	2.6%
LIFE/HEALTH INSURANCE	1.6%
MetLife, Inc., 4.00%, (3 Month US LIBOR + 1.000%, Floor 4.00%), Series A (FRN)a,c			206,431		4,853,193
Athene Holding Ltd., 6.35% to 6/30/29, Series Aa,b			251,925		6,650,820
					11,504,013
LIFE/HEALTH INSURANCE—FOREIGN	1.0%
Aegon NV, 4.00%, (3 Month US LIBOR + 0.875%, Floor 4.00%), Series I (FRN) (Netherlands)a,c			339,074		7,537,615
TOTAL INSURANCE					19,041,628
PIPELINES	2.1%
Energy Transfer Operating LP, 7.375% to 5/15/23, Series Ca,b			184,952		4,379,663
Energy Transfer Operating LP, 7.625% to 8/15/23, Series Da,b			201,925		4,931,009

See accompanying notes to financial statements.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Shares			Value
Energy Transfer Operating LP, 7.60% to 5/15/24, Series Ea,b			225,325		$	5,617,352
						14,928,024
PIPELINES—FOREIGN	0.8%
Enbridge, Inc., 6.375% to 4/15/23, due 4/15/78, Series B (Canada)b			234,857			6,129,768
REAL ESTATE—NET LEASE	0.8%
VEREIT, Inc., 6.70%, Series Fa			227,627			5,738,476
UTILITIES	1.1%
MULTI-UTILITIES	0.4%
NiSource, Inc., 6.50% to 3/15/24, Series Ba,b			104,000			2,730,000
MULTI-UTILITIES—FOREIGN	0.7%
Algonquin Power & Utilities Corp., 6.875% to 10/17/23, due 10/17/78 (Canada)b			40,750			1,096,583
Algonquin Power & Utilities Corp., 6.20% to 7/1/24, due 7/1/79, Series 19-A (Canada)b			155,225			4,001,700
						5,098,283
TOTAL UTILITIES						7,828,283
TOTAL PREFERRED SECURITIES—$25 PAR VALUE (Identified cost—$118,369,648)						121,540,853
		Principal Amount
PREFERRED SECURITIES—CAPITAL SECURITIES	123.0%
BANKS	36.5%
AgriBank FCB, 6.875% to 1/1/24a,b			36,200	†		3,859,825
BAC Capital Trust XIV, 4.00% (3 Month US LIBOR + 0.40%, Floor 4.00%), Series G (FRN)a,c		$	23,430,000			19,482,514
Bank of America Corp., 6.10% to 3/17/25, Series AAa,b			3,925,000			4,241,806
Bank of America Corp., 5.875% to 3/15/28, Series FFa,b			9,980,000			10,426,106
Bank of America Corp., 6.25% to 9/5/24, Series Xa,b			8,410,000			9,168,456
Bank of America Corp., 6.50% to 10/23/24, Series Za,b			6,582,000			7,299,997
Citigroup, Inc., 5.90% to 2/15/23a,b			10,600,000			10,993,832
Citigroup, Inc., 5.95% to 8/15/20, Series Qa,b			750,000			771,401
Citigroup, Inc., 6.125% to 11/15/20, Series Ra,b			5,129,000			5,271,843
Citigroup, Inc., 6.25% to 8/15/26, Series Ta,b			5,932,000			6,520,128
Citizens Financial Group, Inc., 6.375% to 4/6/24, Series Ca,b			2,900,000			2,991,408
CoBank ACB, 6.25% to 10/1/22, Series Fa,b			117,000	†		12,219,187

See accompanying notes to financial statements.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

	Principal Amount			Value
CoBank ACB, 6.125%, Series Ga		32,250	†	$	3,329,813
CoBank ACB, 6.25% to 10/1/26, Series Ia,b	$	6,255,000			6,591,206
Corestates Capital III, 3.088%, (3 Month US LIBOR + 0.57%), due 2/15/27, 144A (TruPS) (FRN)c,d		3,000,000			2,762,700
Dresdner Funding Trust I, 8.151%, due 6/30/31, 144A (Germany)d		3,530,280			4,768,526
Farm Credit Bank of Texas, 6.75% to 9/15/23, 144Aa,b,d		67,500	†		7,188,750
First Union Capital II, 7.95%, due 11/15/29, Series A		445,000			600,184
Goldman Sachs Capital II, 4.00%, (3 Month US LIBOR + 0.768%, Floor 4.00%) (FRN)a,c		1,102,000			891,882
Goldman Sachs Group, Inc./The, 6.429% (3 Month US LIBOR + 3.884%), Series L (FRN)a,c		4,125,000			4,125,206
Goldman Sachs Group, Inc./The, 5.50% to 8/10/24, Series Qa,b		3,470,000			3,556,750
JPMorgan Chase & Co., 6.053% (3 Month US LIBOR + 3.47%), Series I (FRN)a,c		19,013,000			19,000,261
JPMorgan Chase & Co., 6.75% to 2/1/24, Series Sa,b		10,900,000			12,054,801
KeyCorp Capital I, 3.059%, (3 Month US LIBOR + 0.740%), due 7/1/28, (TruPS) (FRN)c		3,525,000			3,175,673
Mellon Capital IV, 4.00%, (3 Month US LIBOR + 0.565%, Floor 4.00%), Series 1 (FRN)a,c		31,635,000			27,175,098
PNC Financial Services Group, Inc., 6.75% to 8/1/21, Series Oa,b		2,535,000			2,706,493
SunTrust Capital III, 3.06%, (3 Month US LIBOR + 0.650%), due 3/15/28 (FRN)c		3,185,000			2,909,179
SunTrust Preferred Capital I, 4.00% (3 Month US LIBOR + 0.645%) (FRN)a,c		4,000,000			3,306,080
US Bancorp, 3.617%, (3 Month US LIBOR + 1.020%, Floor 3.50%), Series A (FRN)a,c		16,150	†		12,672,703
USB Capital IX, 3.617%, (3 Month US LIBOR + 1.020%, Floor 3.50%) (FRN)a,c		9,878,000			8,090,280
Wachovia Capital Trust II, 3.097%, (3 Month US LIBOR + 0.50%), due 1/15/27 (FRN)c		3,550,000			3,269,195
Wells Fargo & Co., 6.18% (3 Month US LIBOR + 3.77%), Series K (FRN)a,c		29,890,000			30,088,768
Wells Fargo & Co., 5.875% to 6/15/25, Series Ua,b		6,375,000			6,935,331
Wells Fargo Capital X, 5.95%, due 12/1/36, (TruPS)		5,893,000			6,948,927
					265,394,309

See accompanying notes to financial statements.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Principal Amount		Value
BANKS—FOREIGN	41.6%
Australia & New Zealand Banking Group Ltd./United Kingdom, 6.75% to 6/15/26, 144A (Australia)a,b,d,e		$	3,000,000	$	3,313,815
Banco Bilbao Vizcaya Argentaria SA, 6.125% to 11/16/27 (Spain)a,b,e			2,800,000		2,638,020
Banco Bilbao Vizcaya Argentaria SA, 8.875% to 4/14/21 (Spain)a,b,e,f			2,800,000		3,553,927
Banco Mercantil del Norte SA/Grand Cayman, 7.50% to 6/27/29, 144A (Mexico)a,b,d,e			2,600,000		2,631,200
Banco Santander SA, 7.50% to 2/8/24 (Spain)a,b,e,f			1,800,000		1,927,125
Bank of China Hong Kong Ltd., 5.90% to 9/14/23, 144A (Hong Kong)a,b,d			6,400,000		6,828,575
Barclays PLC, 7.125% to 6/15/25 (United Kingdom)a,b,e			4,000,000		5,314,738
Barclays PLC, 7.875% to 3/15/22 (United Kingdom)a,b,e,f			5,200,000		5,453,500
Barclays PLC, 8.00% to 6/15/24 (United Kingdom)a,b,e			7,100,000		7,451,202
BNP Paribas SA, 6.625% to 3/25/24, 144A (France)a,b,d,e			4,600,000		4,793,039
BNP Paribas SA, 6.75% to 3/14/22, 144A (France)a,b,d,e			1,000,000		1,047,895
BNP Paribas SA, 7.00% to 8/16/28, 144A (France)a,b,d,e			1,800,000		1,923,120
BNP Paribas SA, 7.375% to 8/19/25, 144A (France)a,b,d,e			4,400,000		4,893,262
BNP Paribas SA, 7.625% to 3/30/21, 144A (France)a,b,d,e			8,900,000		9,425,990
Coventry Building Society, 6.875% to 9/18/24 (United Kingdom)a,b,e,f			1,200,000		1,556,899
Credit Agricole SA, 6.875% to 9/23/24, 144A (France)a,b,d,e			4,600,000		4,833,289
Credit Agricole SA, 7.875% to 1/23/24, 144A (France)a,b,d,e			5,600,000		6,180,552
Credit Agricole SA, 8.125% to 12/23/25, 144A (France)a,b,d,e			14,550,000		16,870,609
Credit Suisse Group AG, 7.125% to 7/29/22 (Switzerland)a,b,e,f			9,500,000		10,085,627
Credit Suisse Group AG, 7.50% to 12/11/23, 144A (Switzerland)a,b,d,e			2,863,000		3,157,168
Credit Suisse Group AG, 7.50% to 7/17/23, 144A (Switzerland)a,b,d,e			13,600,000		14,610,276
Deutsche Bank AG, 7.50% to 4/30/25 (Germany)a,b,e			2,200,000		2,014,881
DNB Bank ASA, 6.50% to 3/26/22 (Norway)a,b,e,f			3,800,000		4,018,196

See accompanying notes to financial statements.

10

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

	Principal Amount		Value
Erste Group Bank AG, 5.125% to 10/15/25, Series EMTN (Austria)a,b,e,f	$	800,000	$	962,447
Erste Group Bank AG, 6.50% to 4/15/24 (Austria)a,b,e,f		2,000,000		2,611,066
HSBC Capital Funding Dollar 1 LP, 10.176% to 6/30/30, 144A (United Kingdom)a,b,d		5,995,000		9,323,904
HSBC Holdings PLC, 6.375% to 3/30/25 (United Kingdom)a,b,e		11,200,000		11,784,808
HSBC Holdings PLC, 6.50% to 3/23/28 (United Kingdom)a,b,e		3,800,000		3,986,884
HSBC Holdings PLC, 6.875% to 6/1/21 (United Kingdom)a,b,e		9,700,000		10,236,895
ING Groep N.V., 6.50% to 4/16/25 (Netherlands)a,b,e		2,600,000		2,697,500
ING Groep N.V., 6.875% to 4/16/22 (Netherlands)a,b,e,f		5,400,000		5,698,409
Lloyds Banking Group PLC, 7.50% to 6/27/24 (United Kingdom)a,b,e		6,450,000		6,796,688
Lloyds Banking Group PLC, 7.50% to 9/27/25 (United Kingdom)a,b,e		8,200,000		8,627,261
Nationwide Building Society, 10.25% (United Kingdom)a,f		1,630,000		3,133,489
Nordea Bank Abp, 6.625% to 3/26/26, 144A (Finland)a,b,d,e		3,800,000		4,012,249
Royal Bank of Scotland Group PLC, 7.50% to 8/10/20 (United Kingdom)a,b,e		2,400,000		2,466,000
Royal Bank of Scotland Group PLC, 7.648% to 9/30/31 (United Kingdom)a,b		6,159,000		8,052,892
Royal Bank of Scotland Group PLC, 8.00% to 8/10/25 (United Kingdom)a,b,e		7,000,000		7,586,250
Royal Bank of Scotland Group PLC, 8.625% to 8/15/21 (United Kingdom)a,b,e		12,600,000		13,611,150
Societe Generale SA, 7.375% to 9/13/21, 144A (France)a,b,d,e		12,000,000		12,645,600
Societe Generale SA, 7.875% to 12/18/23, 144A (France)a,b,d,e		4,089,000		4,393,487
Societe Generale SA, 8.00% to 9/29/25, 144A (France)a,b,d,e		5,000,000		5,516,775
Standard Chartered PLC, 7.50% to 4/2/22, 144A (United Kingdom)a,b,d,e		7,000,000		7,420,000

See accompanying notes to financial statements.

11

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Principal Amount			Value
Standard Chartered PLC, 7.75% to 4/2/23, 144A (United Kingdom)a,b,d,e		$	6,800,000		$	7,229,862
Svenska Handelsbanken AB, 6.25% to 3/1/24, Series EMTN (Sweden)a,b,e,f			4,200,000			4,453,155
UBS Group Funding Switzerland AG, 6.875% to 3/22/21 (Switzerland)a,b,e,f			6,149,000			6,411,710
UBS Group Funding Switzerland AG, 6.875% to 8/7/25 (Switzerland)a,b,e,f			4,200,000			4,502,400
UBS Group Funding Switzerland AG, 7.00% to 2/19/25 (Switzerland)a,b,e,f			3,400,000			3,731,500
UBS Group Funding Switzerland AG, 7.00% to 1/31/24, 144A (Switzerland)a,b,d,e			7,000,000			7,433,755
UBS Group Funding Switzerland AG, 7.125% to 8/10/21 (Switzerland)a,b,e,f			11,000,000			11,577,500
UniCredit SpA, 7.50% to 6/3/26 (Italy)a,b,e,f			1,000,000			1,202,240
						302,628,781
ELECTRIC	1.8%
INTEGRATED ELECTRIC—FOREIGN	1.0%
Electricite de France SA, 5.625% to 1/22/24, 144A (France)a,b,d			4,650,000			4,781,200
Electricite de France SA, 5.00% to 1/22/26, Series EMTN (France)a,b,f			1,900,000			2,427,805
TOTAL INTEGRATED ELECTRIC						7,209,005
REGULATED ELECTRIC	0.8%
CenterPoint Energy, Inc., 6.125% to 9/01/23, Series Aa,b			1,345,000			1,394,476
Southern Co./The, 5.50% to 3/15/22, due 3/15/57, Series Bb			4,200,000			4,304,866
TOTAL REGULATED ELECTRIC						5,699,342
TOTAL ELECTRIC						12,908,347
FINANCIAL—INVESTMENT BANKER/BROKER	0.5%
Charles Schwab Corp./The, 7.00% to 2/1/22a,b			3,335,000			3,636,467
FOOD	0.8%
Dairy Farmers of America, Inc., 7.875%, 144Aa,d,g			55,000	†		5,527,500
INDUSTRIALS—DIVERSIFIED MANUFACTURING	3.0%
General Electric Co., 5.00% to 1/21/21, Series Da,b			22,679,000			21,789,530

See accompanying notes to financial statements.

12

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Principal Amount		Value
INSURANCE	23.8%
LIFE/HEALTH INSURANCE	8.1%
Brighthouse Financial, Inc., 4.70%, due 6/22/47		$	4,500,000	$	3,763,349
MetLife Capital Trust IV, 7.875%, due 12/15/37, 144A (TruPS)d			8,100,000		10,218,919
MetLife, Inc., 9.25%, due 4/8/38, 144Ad			10,300,000		14,436,428
Provident Financing Trust I, 7.405%, due 3/15/38			2,000,000		2,253,190
Prudential Financial, Inc., 5.20% to 3/15/24, due 3/15/44b			2,856,000		2,975,605
Prudential Financial, Inc., 5.375% to 5/15/25, due 5/15/45b			3,000,000		3,162,060
Prudential Financial, Inc., 5.625% to 6/15/23, due 6/15/43b			16,208,000		17,169,540
Prudential Financial, Inc., 5.875% to 9/15/22, due 9/15/42b			2,507,000		2,658,310
Voya Financial, Inc., 6.125% to 9/15/23, Series Aa,b			2,500,000		2,639,288
					59,276,689
LIFE/HEALTH INSURANCE—FOREIGN	7.9%
Dai-ichi Life Insurance Co., Ltd., 5.10% to 10/28/24, 144A (Japan)a,b,d			5,100,000		5,486,146
Dai-ichi Life Insurance Co., Ltd., 7.25% to 7/25/21, 144A (Japan)a,b,d			4,150,000		4,478,265
Fukoku Mutual Life Insurance Co., 6.50% to 9/19/23 (Japan)a,b,f			2,753,000		3,058,996
Hanwha Life Insurance Co., Ltd., 4.70% to 4/23/23, 144A (South Korea)a,b,d			2,600,000		2,578,112
Meiji Yasuda Life Insurance Co., 5.20% to 10/20/25, due 10/20/45, 144A (Japan)b,d			17,235,000		18,683,085
Nippon Life Insurance Co., 4.70% to 1/20/26, due 1/20/46, 144A (Japan)b,d			7,300,000		7,758,221
Nippon Life Insurance Co., 5.10% to 10/16/24, due 10/16/44, 144A (Japan)b,d			6,200,000		6,658,924
Sumitomo Life Insurance Co., 6.50% to 9/20/23, due 9/20/73, 144A (Japan)b,d			8,100,000		9,013,437
					57,715,186

See accompanying notes to financial statements.

13

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Principal Amount			Value
MULTI-LINE	2.3%
American International Group, Inc., 5.75% to 4/1/28, due 4/1/48, Series A-9b		$	2,500,000		$	2,574,350
Hartford Financial Services Group, Inc./The, 4.643% (3 Month US LIBOR + 2.125%), due 2/12/47, 144A, Series ICON (FRN)c,d			12,885,000			10,971,835
Nationwide Mutual Insurance Co., 4.70%, (3 Month US LIBOR + 2.290%), due 12/15/24, 144A (FRN)c,d			3,125,000			3,125,720
						16,671,905
MULTI-LINE—FOREIGN	1.0%
AXA SA, 0.548%, (EUAMDB10 + 0.050%, Cap 8.00%), (FRN) (France)a,c			4,000,000			3,092,912
AXA SA, 6.379% to 12/14/36, 144A (France)a,b,d			3,500,000			3,971,503
						7,064,415
PROPERTY CASUALTY	0.6%
Liberty Mutual Group, Inc., 3.625% to 5/23/24, due 5/23/59, 144A (United States)b,d			3,630,000			4,229,317
PROPERTY CASUALTY—FOREIGN	3.9%
Catlin Insurance Co., Ltd., 5.567% (3 Month US LIBOR + 2.975%), to 10/19/19, 144A (FRN) (Bermuda)a,c,d			3,800,000			3,691,776
Mitsui Sumitomo Insurance Co., Ltd., 4.95% to 3/6/29, 144A (Japan)a,b,d			6,550,000			7,055,332
QBE Insurance Group Ltd., 6.75% to 12/2/24, due 12/2/44 (Australia)b,f			7,405,000			8,064,193
QBE Insurance Group Ltd., 5.875% to 6/17/26, due 6/17/46, Series EMTN (Australia)b,f			4,000,000			4,207,304
VIVAT NV, 6.25% to 11/16/22 (Netherlands)a,b,f			4,700,000			4,742,371
XLIT Ltd., 5.054% (3 Month US LIBOR + 2.458%), Series E (FRN) (Cayman Islands)a,c			800,000			769,216
						28,530,192
TOTAL INSURANCE						173,487,704
INTEGRATED TELECOMMUNICATIONS SERVICES	0.7%
Centaur Funding Corp., 9.08%, due 4/21/20, 144Ad			4,500	†		4,747,500

See accompanying notes to financial statements.

14

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Principal Amount		Value
INTEGRATED TELECOMMUNICATIONS SERVICES—FOREIGN	1.6%
Vodafone Group PLC, 7.00% to 4/4/29, due 4/4/79 (United Kingdom)b		$	10,980,000	$	11,859,497
MATERIAL—METALS & MINING—FOREIGN	2.2%
BHP Billiton Finance USA Ltd., 6.75% to 10/20/25, due 10/19/75, 144A (Australia)b,d			13,700,000		15,652,524
PIPELINES—FOREIGN	4.5%
Enbridge, Inc., 6.25% to 3/1/28, due 3/1/78 (Canada)b			9,854,000		9,986,832
Enbridge, Inc., 6.00% to 1/15/27, due 1/15/77, Series 16-A (Canada)b			7,464,000		7,512,665
Transcanada Trust, 5.625% to 5/20/25, due 5/20/75 (Canada)b			3,215,000		3,186,001
Transcanada Trust, 5.875% to 8/15/26, due 8/15/76, Series 16-A (Canada)b			11,673,000		11,998,910
					32,684,408
REAL ESTATE	1.6%
FINANCE—FOREIGN	0.7%
AT Securities BV, 5.25% to 7/21/23 (Germany)a,b,f			5,000,000		4,914,375
HEALTH CARE	0.2%
Sabra Health Care LP/Sabra Capital Corp., 4.80%, due 6/1/24			1,900,000		1,960,914
SPECIALTY	0.7%
Brookfield Property REIT, Inc., 5.75%, due 5/15/26, 144Ad			4,844,000		5,007,485
TOTAL REAL ESTATE					11,882,774
UTILITIES	4.4%
ELECTRIC UTILITIES—FOREIGN	4.0%
Emera, Inc., 6.75% to 6/15/26, due 6/15/76, Series 16-A (Canada)b			12,770,000		13,708,340
Enel SpA, 8.75% to 9/24/23, due 9/24/73, 144A (Italy)b,d			13,192,000		15,269,740
					28,978,080

See accompanying notes to financial statements.

15

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

		Principal Amount		Value
MULTI-UTILITIES	0.4%
NiSource, Inc., 5.65% to 6/15/23a,b		$	3,385,000	$	3,302,795
TOTAL UTILITIES					32,280,875
TOTAL PREFERRED SECURITIES—CAPITAL SECURITIES (Identified cost—$853,997,196)					894,480,216
CORPORATE BONDS	0.8%
INDUSTRIALS—DIVERSIFIED MANUFACTURING	0.5%
General Electric Co., 5.875%, due 1/14/38, Series MTN			3,042,000		3,449,586
REAL ESTATE—FINANCE	0.3%
iStar, Inc., 6.00%, due 4/1/22			2,000,000		2,055,000
TOTAL CORPORATE BONDS (Identified cost—$4,941,294)					5,504,586
		Shares
SHORT-TERM INVESTMENTS	0.2%
MONEY MARKET FUNDS
State Street Institutional Treasury Money Market Fund, Premier Class, 2.17%h			1,649,450		1,649,450
TOTAL SHORT-TERM INVESTMENTS (Identified cost—$1,649,450)					1,649,450
TOTAL INVESTMENTS IN SECURITIESi (Identified cost—$978,957,588)	140.7%				1,023,175,105
LIABILITIES IN EXCESS OF OTHER ASSETS	(40.7)				(295,825,500	)
NET ASSETS (Equivalent to $25.22 per share based on 28,844,929 shares of common stock outstanding)	100.0%			$	727,349,605

See accompanying notes to financial statements.

16

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

Centrally Cleared Interest Rate Swap Contracts

Notional Amount	Fixed Rate Payable	Fixed Payment Frequency		Floating Rate(resets monthly) Receivable j	Floating Payment Frequency		Maturity Date		Upfront Payment (Receipts)		Unrealized			Value
$60,000,000	1.117%		Quarterly	2.390%		Monthly		10/19/21	$	—	$	660,850		$	660,850
90,000,000	1.203%		Quarterly	2.390%		Monthly		10/19/22		—		1,110,721			1,110,721
31,000,000	1.848%		Quarterly	2.390%		Monthly		10/19/22		—		(296,991	)		(296,991	)
90,000,000	1.288%		Quarterly	2.390%		Monthly		10/19/23		—		1,182,310			1,182,310
									$	—	$	2,656,890		$	2,656,890

The total amount of all interest rate swap contracts as presented in the table above are representative of the volume of activity for these derivative types during the six months ended June 30, 2019.

Forward Foreign Currency Exchange Contracts

Counterparty	Contracts to Deliver		In Exchange For		Settlement Date		Unrealized Appreciation (Depreciation)
Brown Brothers Harriman	EUR	14,337,866	USD	16,014,679		7/2/19	$	(288,910	)
Brown Brothers Harriman	EUR	855,674	USD	961,573		7/2/19		(11,414	)
Brown Brothers Harriman	EUR	1,172,625	USD	1,324,794		7/2/19		(8,598	)
Brown Brothers Harriman	GBP	3,716,249	USD	4,690,761		7/2/19		(28,687	)
Brown Brothers Harriman	GBP	1,280,182	USD	1,626,048		7/2/19		281
Brown Brothers Harriman	GBP	2,600,000	USD	3,315,127		7/2/19		13,259
Brown Brothers Harriman	USD	18,635,988	EUR	16,366,165		7/2/19		(26,019	)
Brown Brothers Harriman	USD	9,666,990	GBP	7,596,431		7/2/19		(19,908	)
Brown Brothers Harriman	EUR	16,006,809	USD	18,272,493		8/2/19		24,408
Brown Brothers Harriman	GBP	7,878,202	USD	10,040,532		8/2/19		20,016
							$	(325,572	)

See accompanying notes to financial statements.

17

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

Glossary of Portfolio Abbreviations

EMTN	Euro Medium Term Note
EUAMDB	Euribor ICE Swap Rate
EUR	Euro Currency
FRN	Floating Rate Note
GBP	Great British Pound
LIBOR	London Interbank Offered Rate
MTN	Medium Term Note
REIT	Real Estate Investment Trust
TruPS	Trust Preferred Securities
USD	United States Dollar

^†  Represents shares.

^a  Perpetual security. Perpetual securities have no stated maturity date, but they may be called/redeemed by the issuer.

^b  Security converts to floating rate after the indicated fixed-rate coupon period.

^c  Variable rate. Rate shown is in effect at June 30, 2019.

^d  Securities exempt from registration under Rule 144A of the Securities Act of 1933. These securities may only be resold to qualified institutional buyers. Aggregate holdings amounted to $316,547,368, which represents 43.5% of the net assets of the Fund, of which 0.1% are illiquid.

^e  Contingent Capital security (CoCo). CoCos are debt or preferred securities with loss absorption characteristics built into the terms of the security for the benefit of the issuer. Aggregate holdings amounted to $275,289,920, which represents 37.8% of the net assets of the Fund (26.4% of the managed assets of the Fund).

^f  Securities exempt from registration under Regulation S of the Securities Act of 1933. These securities are subject to resale restrictions. Aggregate holdings amounted to $98,294,235, which represents 13.5% of the net assets of the Fund, of which 0.1% are illiquid.

^g  Security value is determined based on significant unobservable inputs (Level 3).

^h  Rate quoted represents the annualized seven-day yield.

ⁱ  Securities held by the Fund are subject to a lien, granted to the lender, to the extent of the borrowing outstanding in connection with the Fund’s revolving credit agreement.

^j  Based on LIBOR. Represents rates in effect at June 30, 2019.

See accompanying notes to financial statements.

18

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

SCHEDULE OF INVESTMENTS—(Continued)

June 30, 2019 (Unaudited)

Country Summary	% of Managed Assets
United States		48.5
United Kingdom		12.7
France		8.3
Japan		6.0
Switzerland		5.9
Canada		5.5
Australia		3.0
Netherlands		2.0
Italy		1.6
Spain		0.8
Hong Kong		0.7
Germany		0.7
Other		4.3
		100.0

See accompanying notes to financial statements.

19

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

STATEMENT OF ASSETS AND LIABILITIES

June 30, 2019 (Unaudited)

ASSETS:
Investments in securities, at value (Identified cost—$978,957,588)	$	1,023,175,105
Cash		363,215
Cash collateral pledged for interest rate swap contracts		3,219,520
Foreign currency, at value (Identified cost—$123,306)		123,709
Receivable for:
Dividends and interest		12,650,341
Investment securities sold		11,766,349
Variation margin on interest rate swap contracts		103,834
Unrealized appreciation on forward foreign currency exchange contracts		57,964
Other assets		22,550
Total Assets		1,051,482,587
LIABILITIES:
Unrealized depreciation on forward foreign currency exchange contracts		383,536
Payable for:
Revolving credit agreement		315,000,000
Investment securities purchased		6,834,965
Interest expense		841,047
Investment advisory fees		596,168
Dividends declared		333,780
Administration fees		51,100
Directors’ fees		495
Other liabilities		91,891
Total Liabilities		324,132,982
NET ASSETS	$	727,349,605
NET ASSETS consist of:
Paid-in capital	$	688,631,303
Total distributable earnings/(accumulated loss)		38,718,302
	$	727,349,605
NET ASSET VALUE PER SHARE:
($727,349,605 ÷ 28,844,929 shares outstanding)	$	25.22
MARKET PRICE PER SHARE	$	24.89
MARKET PRICE PREMIUM (DISCOUNT) TO NET ASSET VALUE PER SHARE		(1.31	)%

See accompanying notes to financial statements.

20

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

STATEMENT OF OPERATIONS

For the Six Months Ended June 30, 2019 (Unaudited)

Investment Income:
Interest income (net of $106 of foreign withholding tax)	$	24,527,960
Dividend income		4,931,317
Total Investment Income		29,459,277
Expenses:
Interest expense		5,178,745
Investment advisory fees		3,560,242
Administration fees		368,165
Shareholder reporting expenses		119,121
Professional fees		40,867
Directors’ fees and expenses		18,707
Custodian fees and expenses		15,477
Transfer agent fees and expenses		9,530
Miscellaneous		33,655
Total Expenses		9,344,509
Net Investment Income (Loss)		20,114,768
Net Realized and Unrealized Gain (Loss):
Net realized gain (loss) on:
Investments in securities		288,321
Written option contracts		318,395
Interest rate swap contracts		1,628,441
Forward foreign currency exchange contracts		583,956
Foreign currency transactions		17,465
Net realized gain (loss)		2,836,578
Net change in unrealized appreciation (depreciation) on:
Investments in securities		70,458,618
Written option contracts		(178,069	)
Interest rate swap contracts		(8,772,718	)
Forward foreign currency exchange contracts		(144,184	)
Foreign currency translations		2,133
Net change in unrealized appreciation (depreciation)		61,365,780
Net Realized and Unrealized Gain (Loss)		64,202,358
Net Increase (Decrease) in Net Assets Resulting from Operations	$	84,317,126

See accompanying notes to financial statements.

21

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

STATEMENT OF CHANGES IN NET ASSETS (Unaudited)

	For the Six Months Ended June 30, 2019			For the Year Ended December 31, 2018
Change in Net Assets:
From Operations:
Net investment income (loss)	$	20,114,768		$	38,958,856
Net realized gain (loss)		2,836,578			9,455,672
Net change in unrealized appreciation (depreciation)		61,365,780			(107,653,475	)
Net increase (decrease) in net assets resulting from operations		84,317,126			(59,238,947	)
Distributions to shareholders		(26,998,854	)		(53,591,141	)
Tax return of capital to shareholders		—			(393,137	)
Total distributions		(26,998,854	)		(53,984,278	)
Capital Stock Transactions:
Increase (decrease) in net assets from Fund share transactions		—			367,192
Total increase (decrease) in net assets		57,318,272			(112,856,033	)
Net Assets:
Beginning of period		670,031,333			782,887,366
End of period	$	727,349,605		$	670,031,333

See accompanying notes to financial statements.

22

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

STATEMENT OF CASH FLOWS

For the Six Months Ended June 30, 2019 (Unaudited)

Increase (Decrease) in Cash:
Cash Flows from Operating Activities:
Net increase (decrease) in net assets resulting from operations	$	84,317,126
Adjustments to reconcile net increase (decrease) in net assets resulting from operations to net cash provided by operating activities:
Purchases of long-term investments		(302,987,465	)
Proceeds from sales and maturities of long-term investments		308,951,610
Net purchases, sales and maturities of short-term investments		6,002,309
Net amortization of premium on investments in securities		1,803,345
Net increase in dividends and interest receivable and other assets		(1,069,806	)
Net decrease in cash collateral received for over-the-counter option contracts		(350,000	)
Net decrease in interest expense payable, accrued expenses and other liabilities		(77,459	)
Net increase in receivable for variation margin on interest rate swap contracts		(437,296	)
Decrease in premiums received from written option contracts		(402,530	)
Net change in unrealized depreciation on written option contracts		178,069
Net change in unrealized appreciation on investments in securities		(70,458,618	)
Net change in unrealized depreciation on forward foreign currency exchange contracts		144,184
Net realized gain on investments in securities		(288,321	)
Cash provided by operating activities		25,325,148
Cash Flows from Financing Activities:
Dividends and distributions paid		(27,037,719	)
Increase (decrease) in cash and restricted cash		(1,712,571	)
Cash and restricted cash at beginning of period (including foreign currency)		5,419,015
Cash and restricted cash at end of period (including foreign currency)	$	3,706,444

Supplemental Disclosure of Cash Flow Information and Non-Cash Activities:

During the six months ended June 30, 2019, interest paid was $5,220,919.

During the six months ended June 30, 2019, as part of an exchange offer from one of the Fund’s investments, the Fund received shares of a new security valued at $3,745,002.

23

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

STATEMENT OF CASH FLOWS—(Continued)

For the Six Months Ended June 30, 2019 (Unaudited)

The following table provides a reconciliation of cash and restricted cash reported within the Statement of

Assets and Liabilities that sums to the total of such amounts shown on the Statement of Cash Flows.

Cash	$	363,215
Restricted cash		3,219,520
Foreign currency		123,709
Total cash and restricted cash shown on the Statement of Cash Flows	$	3,706,444

Restricted cash consists of cash that has been deposited with a broker and pledged to cover the Fund’s collateral or margin obligations under derivative contracts. It is reported on the Statement of Assets and Liabilities as cash collateral pledged for interest rate swap contracts.

See accompanying notes to financial statements.

24

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

FINANCIAL HIGHLIGHTS (Unaudited)

The following table includes selected data for a share outstanding throughout each period and other performance information derived from the financial statements. It should be read in conjunction with the financial statements and notes thereto.

	For the Six Months Ended June 30, 2019			For the Year Ended December 31,
Per Share Operating Performance:				2018			2017			2016			2015			2014
Net asset value, beginning of period		$23.23			$27.15			$25.45			$25.27			$25.70			$25.07
Income (loss) from investment operations:
Net investment income (loss)a		0.70			1.35			1.49			1.59			1.68			1.77
Net realized and unrealized gain (loss)		2.23			(3.40	)		2.18			0.47			(0.24	)		1.03
Total from investment operations		2.93			(2.05	)		3.67			2.06			1.44			2.80
Less dividends and distributions to shareholders from:
Net investment income		(0.94	)		(1.56	)		(1.58	)		(1.45	)		(1.50	)		(1.65	)
Net realized gain		—			(0.30	)		(0.39	)		(0.43	)		(0.30	)		(0.52	)
Tax return of capital		—			(0.01	)		—			—			(0.07	)		—
Total dividends and distributions to shareholders		(0.94	)		(1.87	)		(1.97	)		(1.88	)		(1.87	)		(2.17	)
Net increase (decrease) in net asset value		1.99			(3.92	)		1.70			0.18			(0.43	)		0.63
Net asset value, end of period		$25.22			$23.23			$27.15			$25.45			$25.27			$25.70
Market value, end of period		$24.89			$21.81			$26.07			$24.54			$22.52			$22.66
Total net asset value returnb		12.87	%c		–7.65	%		14.97	%		8.89	%		6.52	%		12.13	%
Total market value returnb		18.64	%c		–9.70	%		14.49	%		17.82	%		7.66	%		9.57	%

See accompanying notes to financial statements.

25

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

FINANCIAL HIGHLIGHTS (Unaudited)—(Continued)

	For the Six Months Ended June 30, 2019			For the Year Ended December 31,
Ratios/Supplemental Data:				2018			2017			2016			2015			2014
Net assets, end of period (in millions)		$727.3			$670.0			$782.9			$733.8			$728.6			$740.9
Ratios to average daily net assets:
Expenses		2.65	%d		2.38	%		1.94	%		1.72	%		1.61	%		1.57	%
Expenses (excluding interest expense)		1.18	%d		1.17	%		1.15	%		1.15	%		1.17	%		1.14	%
Net investment income (loss)		5.71	%d		5.24	%		5.53	%		6.29	%		6.53	%		6.72	%
Ratio of expenses to average daily managed assetse		1.84	%d		1.67	%		1.38	%		1.20	%		1.13	%		1.11	%
Portfolio turnover rate		31	%c		35	%		36	%		48	%		47	%		47	%
Revolving Credit Agreement
Asset coverage ratio for revolving credit agreement		331	%		313	%		349	%		333	%		331	%		335	%
Asset coverage per $1,000 for revolving credit agreement		$3,309			$3,127			$3,485			$3,330			$3,313			$3,352

^a Calculation based on average shares outstanding.

^b Total net asset value return measures the change in net asset value per share over the period indicated. Total market value return is computed based upon the Fund’s market price per share and excludes the effects of brokerage commissions. Dividends and distributions are assumed, for purposes of these calculations, to be reinvested at prices obtained under the Fund’s dividend reinvestment plan.

^c Not annualized.

^d Annualized.

^e Average daily managed assets represent net assets plus the outstanding balance of the revolving credit agreement.

See accompanying notes to financial statements.

26

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)

Note 1. Organization and Significant Accounting Policies

Cohen & Steers Limited Duration Preferred and Income Fund, Inc. (the Fund) was incorporated under the laws of the State of Maryland on May 1, 2012 and is registered under the Investment Company Act of 1940 (the 1940 Act) as a diversified, closed-end management investment company. The Fund’s primary investment objective is high current income. The Fund’s secondary investment objective is capital appreciation.

The following is a summary of significant accounting policies consistently followed by the Fund in the preparation of its financial statements. The Fund is an investment company and, accordingly, follows the investment company accounting and reporting guidance of the Financial Accounting Standards Board Accounting Standards Codification (ASC) Topic 946—Investment Companies. The accounting policies of the Fund are in conformity with accounting principles generally accepted in the United States of America (GAAP). The preparation of the financial statements in accordance with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities at the date of the financial statements and the reported amounts of income and expenses during the reporting period. Actual results could differ from those estimates.

Portfolio Valuation: Investments in securities that are listed on the New York Stock Exchange (NYSE) are valued, except as indicated below, at the last sale price reflected at the close of the NYSE on the business day as of which such value is being determined. If there has been no sale on such day, the securities are valued at the mean of the closing bid and ask prices on such day or, if no ask price is available, at the bid price. Forward foreign currency exchange contracts are valued daily at the prevailing forward exchange rate. Centrally cleared interest rate swaps are valued at the price determined by the relevant exchange or clearinghouse. Over-the-counter (OTC) interest rate swaps are valued utilizing quotes received from a third-party pricing service. Exchange-traded options are valued at their last sale price as of the close of options trading on applicable exchanges on the valuation date. In the absence of a last sale price on such day, options are valued at the average of the quoted bid and ask prices as of the close of business. OTC options are valued based upon prices provided by a third-party pricing service or counterparty.

Securities not listed on the NYSE but listed on other domestic or foreign securities exchanges (including NASDAQ) are valued in a similar manner. Securities traded on more than one securities exchange are valued at the last sale price reflected at the close of the exchange representing the principal market for such securities on the business day as of which such value is being determined. If after the close of a foreign market, but prior to the close of business on the day the securities are being valued, market conditions change significantly, certain non-U.S. equity holdings may be fair valued pursuant to procedures established by the Board of Directors.

Readily marketable securities traded in the OTC market, including listed securities whose primary market is believed by Cohen & Steers Capital Management, Inc. (the investment advisor) to be OTC, are valued on the basis of prices provided by a third-party pricing service or third-party broker-dealers when such prices are believed by the investment advisor, pursuant to delegation by the Board of Directors, to reflect the fair value of such securities.

27

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Fixed-income securities are valued on the basis of prices provided by a third-party pricing service or third-party broker-dealers when such prices are believed by the investment advisor, pursuant to delegation by the Board of Directors, to reflect the fair value of such securities. The pricing services or broker-dealers use multiple valuation techniques to determine fair value. In instances where sufficient market activity exists, the pricing services or broker-dealers may utilize a market-based approach through which quotes from market makers are used to determine fair value. In instances where sufficient market activity may not exist or is limited, the pricing services or broker-dealers also utilize proprietary valuation models which may consider market transactions in comparable securities and the various relationships between securities in determining fair value and/or characteristics such as benchmark yield curves, option-adjusted spreads, credit spreads, estimated default rates, coupon rates, anticipated timing of principal repayments, underlying collateral, and other unique security features which are then used to calculate the fair values.

Short-term debt securities with a maturity date of 60 days or less are valued at amortized cost, which approximates fair value. Investments in open-end mutual funds are valued at net asset value (NAV).

The policies and procedures approved by the Fund’s Board of Directors delegate authority to make fair value determinations to the investment advisor, subject to the oversight of the Board of Directors. The investment advisor has established a valuation committee (Valuation Committee) to administer, implement and oversee the fair valuation process according to the policies and procedures approved annually by the Board of Directors. Among other things, these procedures allow the Fund to utilize independent pricing services, quotations from securities and financial instrument dealers and other market sources to determine fair value.

Securities for which market prices are unavailable, or securities for which the investment advisor determines that the bid and/or ask price or a counterparty valuation does not reflect market value, will be valued at fair value, as determined in good faith by the Valuation Committee, pursuant to procedures approved by the Fund’s Board of Directors. Circumstances in which market prices may be unavailable include, but are not limited to, when trading in a security is suspended, the exchange on which the security is traded is subject to an unscheduled close or disruption or material events occur after the close of the exchange on which the security is principally traded. In these circumstances, the Fund determines fair value in a manner that fairly reflects the market value of the security on the valuation date based on consideration of any information or factors it deems appropriate. These may include, but are not limited to, recent transactions in comparable securities, information relating to the specific security and developments in the markets.

The Fund’s use of fair value pricing may cause the NAV of Fund shares to differ from the NAV that would be calculated using market quotations. Fair value pricing involves subjective judgments and it is possible that the fair value determined for a security may be materially different than the value that could be realized upon the sale of that security.

Fair value is defined as the price that the Fund would expect to receive upon the sale of an investment or expect to pay to transfer a liability in an orderly transaction with an independent buyer in the principal market or, in the absence of a principal market, the most advantageous market for the investment or liability. The hierarchy of inputs that are used in determining the fair value of the Fund’s investments is summarized below.

28

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

• Level 1—quoted prices in active markets for identical investments

• Level 2—other significant observable inputs (including quoted prices for similar investments, interest rates, credit risk, etc.)

• Level 3—significant unobservable inputs (including the Fund’s own assumptions in determining the fair value of investments)

The inputs or methodology used for valuing investments may or may not be an indication of the risk associated with those investments. Changes in valuation techniques may result in transfers into or out of an assigned level within the disclosure hierarchy.

The following is a summary of the inputs used as of June 30, 2019 in valuing the Fund’s investments carried at value:

	Total			Quoted Prices in Active Markets for Identical Investments (Level 1)		Other Significant Observable Inputs (Level 2)			Significant Unobservable Inputs (Level 3)
Preferred Securities—
$25 Par Value:
Banks	$	3,159,800		$	—	$	3,159,800		$	—
Other Industries		118,381,053			118,381,053		—			—
Preferred Securities—
Capital Securities:
Food		5,527,500			—		—			5,527,500
Other Industries		888,952,716			—		888,952,716			—
Corporate Bonds		5,504,586			—		5,504,586			—
Short-Term Investments		1,649,450			—		1,649,450			—
Total Investments in Securitiesa	$	1,023,175,105		$	118,381,053	$	899,266,552		$	5,527,500	b
Interest Rate Swap Contracts	$	2,953,881		$	—	$	2,953,881		$	—
Forward Foreign Currency Exchange Contracts		57,964			—		57,964			—
Total Derivative Assetsa	$	3,011,845		$	—	$	3,011,845		$	—
Interest Rate Swap Contracts	$	(296,991	)	$	—	$	(296,991	)	$	—
Forward Foreign Currency Exchange Contracts		(383,536	)		—		(383,536	)		—
Total Derivative Liabilitiesa	$	(680,527	)	$	—	$	(680,527	)	$	—

^a  Portfolio holdings are disclosed individually on the Schedule of Investments.

^b  Level 3 investments are valued by a third-party pricing service. The inputs for these securities are not readily available or cannot be reasonably estimated. A change in the significant unobservable inputs could result in a significantly lower or higher value in such Level 3 investments.

29

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

	Preferred Securities—Capital Securities—Food
Balance as of December 31, 2018	$	5,486,250
Change in unrealized appreciation (depreciation)		41,250
Balance as of June 30, 2019	$	5,527,500

The change in unrealized appreciation (depreciation) attributable to securities owned on June 30, 2019, which were valued using significant unobservable inputs (Level 3) amounted to $41,250.

Security Transactions and Investment Income: Security transactions are recorded on trade date. Realized gains and losses on investments sold are recorded on the basis of identified cost. Interest income, which includes the amortization of premiums and accretion of discounts, is recorded on the accrual basis. Dividend income is recorded on the ex-dividend date, except for certain dividends on foreign securities, which are recorded as soon as the Fund is informed after the ex-dividend date. Distributions from real estate investment trusts (REITs) are recorded as ordinary income, net realized capital gains or return of capital based on information reported by the REITs and management’s estimates of such amounts based on historical information. These estimates are adjusted when the actual source of distributions is disclosed by the REITs and actual amounts may differ from the estimated amounts.

Options: The Fund may purchase and write exchange-listed and OTC put or call options on securities, stock indices and other financial instruments for hedging purposes, to enhance portfolio returns and/or reduce overall volatility.

When the Fund writes (sells) an option, an amount equal to the premium received by the Fund is recorded on the Statement of Assets and Liabilities as a liability. The amount of the liability is subsequently marked-to-market to reflect the current market value of the option written. When an option expires, the Fund realizes a gain on the option to the extent of the premium received. Premiums received from writing options which are exercised or closed are added to or offset against the proceeds or amount paid on the transaction to determine the realized gain or loss. If a put option on a security is exercised, the premium reduces the cost basis of the security purchased by the Fund. If a call option is exercised, the premium is added to the proceeds of the security sold to determine the realized gain or loss. The Fund, as writer of an option, bears the market risk of an unfavorable change in the price of the underlying index, currency or security. Other risks include the possibility of an illiquid options market or the inability of the counterparties to fulfill their obligations under the contracts.

Put and call options purchased are accounted for in the same manner as portfolio securities. Premiums paid for purchasing options which expire are treated as realized losses. Premiums paid for purchasing options which are exercised or closed are added to the amounts paid or offset against the proceeds on the underlying investment transaction to determine the realized gain or loss when the underlying transaction is executed. The risk associated with purchasing an option is that the Fund pays a premium whether or not the option is exercised. Additionally, the Fund bears the risk of loss of the premium and change in market value should the counterparty not perform under the contract.

At June 30, 2019, the Fund did not have any option contracts outstanding.

30

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Foreign Currency Translation: The books and records of the Fund are maintained in U.S. dollars. Investment securities and other assets and liabilities denominated in foreign currencies are translated into U.S. dollars based upon prevailing exchange rates on the date of valuation. Purchases and sales of investment securities and income and expense items denominated in foreign currencies are translated into U.S. dollars based upon prevailing exchange rates on the respective dates of such transactions. The Fund does not isolate that portion of the results of operations resulting from fluctuations in foreign exchange rates on investments from the fluctuations arising from changes in market prices of securities held. Such fluctuations are included with the net realized and unrealized gain or loss on investments.

Net realized foreign currency transaction gains or losses arise from sales of foreign currencies, (excluding gains and losses on forward foreign currency exchange contracts, which are presented separately, if any), currency gains or losses realized between the trade and settlement dates on securities transactions, and the difference between the amounts of dividends, interest, and foreign withholding taxes recorded on the Fund’s books and the U.S. dollar equivalent of the amounts actually received or paid. Net unrealized foreign currency translation gains and losses arise from changes in the values of assets and liabilities, other than investments in securities, on the date of valuation, resulting from changes in exchange rates. Pursuant to U.S. federal income tax regulations, certain foreign currency gains/losses included in realized and unrealized gains/losses are included in or are a reduction of ordinary income for federal income tax purposes.

Forward Foreign Currency Exchange Contracts: The Fund enters into forward foreign currency exchange contracts to hedge the currency exposure associated with certain of its non-U.S. dollar denominated securities. A forward foreign currency exchange contract is a commitment between two parties to purchase or sell foreign currency at a set price on a future date. The market value of a forward foreign currency exchange contract fluctuates with changes in foreign currency exchange rates. These contracts are marked to market daily and the change in value is recorded by the Fund as unrealized appreciation and/or depreciation on forward foreign currency exchange contracts. Realized gains or losses equal to the difference between the value of the contract at the time it was opened and the value at the time it was closed are included in net realized gain or loss on forward foreign currency exchange contracts. For federal income tax purposes, the Fund has made an election to treat gains and losses from forward foreign currency exchange contracts as capital gains and losses.

Forward foreign currency exchange contracts involve elements of market risk in excess of the amounts reflected on the Statement of Assets and Liabilities. The Fund bears the risk of an unfavorable change in the foreign exchange rate underlying the contract. Risks may also arise upon entering these contracts from the potential inability of the counterparties to meet the terms of their contracts. In connection with these contracts, securities may be identified as collateral in accordance with the terms of the respective contracts.

Centrally Cleared Interest Rate Swap Contracts: The Fund uses interest rate swaps in connection with borrowing under its revolving credit agreement. The interest rate swaps are intended to reduce interest rate risk by countering the effect that an increase in short-term interest rates could have on the performance of the Fund’s shares as a result of the floating rate structure of interest owed pursuant to the revolving credit agreement. When entering into interest rate swaps, the Fund agrees to pay the other party to the interest rate swap (which is known as the counterparty) a fixed rate payment in exchange

31

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

for the counterparty’s agreement to pay the Fund a variable rate payment that was intended to approximate the Fund’s variable rate payment obligation on the revolving credit agreement. The payment obligation is based on the notional amount of the swap. Depending on the state of interest rates in general, the use of interest rate swaps could enhance or harm the overall performance of the Fund. Swaps are marked-to-market daily and changes in the value are recorded as unrealized appreciation (depreciation).

Immediately following execution of the swap agreement, the swap agreement is novated to a central counterparty (the CCP) and the Fund’s counterparty on the swap agreement becomes the CCP. The Fund is required to interface with the CCP through a broker. Upon entering into a centrally cleared swap, the Fund is required to deposit initial margin with the broker in the form of cash or securities in an amount that varies depending on the size and risk profile of the particular swap. Securities deposited as initial margin are designated on the Schedule of Investments and cash deposited is recorded on the Statement of Assets and Liabilities as cash collateral pledged for interest rate swap contracts. The daily change in valuation of centrally cleared swaps is recorded as a receivable or payable for variation margin in the Statement of Assets and Liabilities. Payments received from or paid to the counterparty, including at termination, are recorded as realized gain (loss) in the Statement of Operations.

Swap agreements involve, to varying degrees, elements of market and counterparty risk, and exposure to loss in excess of the related amounts reflected on the Statement of Assets and Liabilities. Such risks involve the possibility that there will be no liquid market for these agreements, that the counterparty to the agreements may default on its obligation to perform or disagree as to the meaning of contractual terms in the agreements and that there may be unfavorable changes in interest rates.

Dividends and Distributions to Shareholders: Dividends from net investment income and capital gain distributions are determined in accordance with U.S. federal income tax regulations, which may differ from GAAP. Dividends from net investment income, if any, are declared quarterly and paid monthly. Net realized capital gains, unless offset by any available capital loss carryforward, are typically distributed to shareholders at least annually. Dividends and distributions to shareholders are recorded on the ex-dividend date and are automatically reinvested in full and fractional shares of the Fund in accordance with the Fund’s Reinvestment Plan, unless the shareholder has elected to have them paid in cash.

The Fund has a managed distribution policy in accordance with exemptive relief issued by the SEC. This policy gives the Fund greater flexibility to realize long-term capital gains throughout the year and to distribute those gains on a more regular basis to shareholders. Therefore, regular monthly distributions throughout the year may include a portion of estimated realized long-term capital gains, along with net investment income, short-term capital gains and return of capital, which is not taxable. In accordance with the relief, the Fund is required to adhere to certain conditions in order to distribute long-term capital gains during the year.

Dividends from net investment income are subject to recharacterization for tax purposes. Based upon the results of operations for the six months ended June 30, 2019, the investment advisor considers it likely that a significant portion of the dividends will be reclassified to distributions from net realized gain and return of capital upon the final determination of the Fund’s taxable income after December 31, 2019, the Fund’s fiscal year end.

32

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Income Taxes: It is the policy of the Fund to continue to qualify as a regulated investment company (RIC), if such qualification is in the best interest of the shareholders, by complying with the requirements of Subchapter M of the Internal Revenue Code applicable to RICs, and by distributing substantially all of its taxable earnings to its shareholders. Also, in order to avoid the payment of any federal excise taxes, the Fund will distribute substantially all of its net investment income and net realized gains on a calendar year basis. Accordingly, no provision for federal income or excise tax is necessary. Dividend and interest income from holdings in non-U.S. securities is recorded net of non-U.S. taxes paid. Management has analyzed the Fund’s tax positions taken on federal and applicable state income tax returns as well as its tax positions in non-U.S. jurisdictions in which it trades for all open tax years and has concluded that as of June 30, 2019, no additional provisions for income tax are required in the Fund’s financial statements. The Fund’s tax positions for the tax years for which the applicable statutes of limitations have not expired are subject to examination by the Internal Revenue Service, state departments of revenue and by foreign tax authorities.

Note 2. Investment Advisory Fees, Administration Fees and Other Transactions with Affiliates

Investment Advisory Fees: Cohen & Steers Capital Management, Inc. serves as the Fund’s investment advisor pursuant to an investment advisory agreement (the investment advisory agreement). Under the terms of the investment advisory agreement, the investment advisor provides the Fund with day-to-day investment decisions and generally manages the Fund’s investments in accordance with the stated policies of the Fund, subject to the supervision of the Board of Directors.

For the services provided to the Fund, the investment advisor receives a fee, accrued daily and paid monthly, at the annual rate of 0.70% of the average daily managed assets of the Fund. Managed assets are equal to the net assets plus the amount of any borrowings, used for leverage, outstanding.

Administration Fees: The Fund has entered into an administration agreement with the investment advisor under which the investment advisor performs certain administrative functions for the Fund and receives a fee, accrued daily and paid monthly, at the annual rate of 0.06% of the average daily managed assets of the Fund. For the six months ended June 30, 2019, the Fund incurred $305,164 in fees under this administration agreement. Additionally, the Fund pays State Street Bank and Trust Company as co-administrator under a fund accounting and administration agreement.

Directors’ and Officers’ Fees: Certain directors and officers of the Fund are also directors, officers and/or employees of the investment advisor. The Fund does not pay compensation to directors and officers affiliated with the investment advisor except for the Chief Compliance Officer, who received compensation from the investment advisor, which was reimbursed by the Fund, in the amount of $5,152 for the six months ended June 30, 2019.

Note 3. Purchases and Sales of Securities

Purchases and sales of securities, excluding short-term investments, for the six months ended June 30, 2019, totaled $309,822,429 and $320,717,959, respectively.

33

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Note 4. Derivative Investments

The following tables present the value of derivatives held at June 30, 2019 and the effect of derivatives held during the six months ended June 30, 2019, along with the respective location in the financial statements.

Statement of Assets and Liabilities

	Assets				Liabilities
Derivatives	Location	Fair Value			Location	Fair Value
Interest Rate Risk:
Interest Rate Swap Contractsa	Receivable for variation margin on interest rate swap contracts	$	2,656,890	b	—	$	—
Foreign Exchange Risk:
Forward Foreign Currency Exchange Contractsa	Unrealized appreciation		57,964		Unrealized depreciation		383,536

^a  Not subject to a master netting agreement or another similar arrangement.

^b  Amount represents the cumulative appreciation on interest rate swap contracts as reported on the Schedule of Investments. The Statement of Assets and Liabilities only reflects the current day variation margin receivable from the broker.

Statement of Operations

Derivatives	Location	Realized Gain (Loss)			Change in Unrealized Appreciation (Depreciation)
Interest Rate Risk:
Interest Rate Swap Contracts	Net Realized and Unrealized Gain (Loss)	$	1,628,441		$	(8,772,718	)
Foreign Exchange Risk:
Forward Foreign Currency Exchange Contracts	Net Realized and Unrealized Gain (Loss)		583,956			(144,184	)
Purchased Option Contractsa— Over-the-Counter	Net Realized and Unrealized Gain (Loss)		(483,094	)		285,642
Written Option Contracts— Over-the-Counter	Net Realized and Unrealized Gain (Loss)		318,395			(178,069	)

^a  Purchased options are included in net realized gain (loss) and change in unrealized appreciation (depreciation) on investments in securities.

34

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

The following summarizes the volume of the Fund’s option contracts and forward foreign currency exchange contracts activity for the six months ended June 30, 2019:

	Purchased Option Contractsa,b		Written Option Contractsa,b		Forward Foreign Currency Exchange Contracts
Average Notional Amount	$	44,554,363	$	44,554,363	$	21,602,151

^a  Average notional amounts are for the period January 1, 2019 through January 16, 2019, which represents the period the Fund had option contracts outstanding.

^b  Notional amount is calculated using the number of contracts multiplied by notional contract size multiplied by the underlying price.

Note 5. Income Tax Information

As of June 30, 2019, the federal tax cost and net unrealized appreciation (depreciation) in value of investments held were as follows:

Cost of investments in securities for federal income tax purposes	$	978,957,588
Gross unrealized appreciation on investments	$	51,447,728
Gross unrealized depreciation on investments		(4,898,893	)
Net unrealized appreciation (depreciation) on investments	$	46,548,835

The Fund incurred short-term capital losses of $860,966 and long-term capital losses of $84,976 after October 31, 2018 that it has elected to defer to the following year.

Note 6. Capital Stock

The Fund is authorized to issue 250 million shares of common stock at a par value of $0.001 per share.

During the six months ended June 30, 2019, the Fund did not issue shares of common stock for the reinvestment of dividends. During the year ended December 31, 2018, the Fund issued 14,349 shares of common stock for the reinvestment of dividends.

The Board of Directors approved the continuation of the delegation of its authority to management to effect repurchases, pursuant to management’s discretion and subject to market conditions and investment considerations, of up to 10% of the Fund’s common shares outstanding (Share Repurchase Program) as of January 1, 2019, through the fiscal year ended December 31, 2019.

During the six months ended June 30, 2019 and the year ended December 31, 2018, the Fund did not effect any repurchases.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Note 7. Borrowings

The Fund has entered into a $315,000,000 revolving credit agreement (the credit agreement) with State Street Bank and Trust Company (State Street). The Fund pays a monthly financing charge which is calculated based on the used portion of the credit agreement and a LIBOR-based rate. The Fund also pays a fee of 0.20% per annum on any unused portion of the credit agreement. The credit agreement has a 360-day evergreen provision whereby State Street may terminate this agreement upon 360 days’ notice, but the Fund may terminate on 30 days’ notice to State Street. Securities held by the Fund are subject to a lien, granted to State Street, to the extent of the borrowing outstanding in connection with the Fund’s revolving credit agreement. If the Fund fails to meet certain requirements, or maintain other financial covenants required under the credit agreement, the Fund may be required to repay immediately, in part or in full, the loan balance outstanding under the credit agreement, necessitating the sale of portfolio securities at potentially inopportune times.

As of June 30, 2019, the Fund had outstanding borrowings of $315,000,000 at a current rate of 3.2%. During the six months ended June 30, 2019, the Fund borrowed an average daily balance of $315,000,000 at a weighted average borrowing cost of 3.3%.

Note 8. Other Risks

Preferred Securities Risk: Preferred securities are subject to credit risk, which is the risk that a security will decline in price, or the issuer of the security will fail to make dividend, interest or principal payments when due, because the issuer experiences a decline in its financial status. Preferred securities are also subject to interest rate risk and may decline in value because of changes in market interest rates. The Fund may be subject to a greater risk of rising interest rates than would normally be the case in an environment of low interest rates and the effect of potential government fiscal policy initiatives and resulting market reaction to those initiatives. In addition, an issuer may be permitted to defer or omit distributions. Preferred securities are also generally subordinated to bonds and other debt instruments in a company’s capital structure. During periods of declining interest rates, an issuer may be able to exercise an option to redeem (call) its issue at par earlier than scheduled, and the Fund may be forced to reinvest in lower yielding securities. Certain preferred securities may be substantially less liquid than many other securities, such as common stocks. Generally, preferred security holders have no voting rights with respect to the issuing company unless certain events occur. Certain preferred securities may give the issuers special redemption rights allowing the securities to be redeemed prior to a specified date if certain events occur, such as changes to tax or securities laws.

Contingent Capital Securities Risk: Contingent capital securities (sometimes referred to as “CoCos”) are debt or preferred securities with loss absorption characteristics built into the terms of the security, for example, a mandatory conversion into common stock of the issuer under certain circumstances, such as the issuer’s capital ratio falling below a certain level. Since the common stock of the issuer may not pay a dividend, investors in these instruments could experience a reduced income rate, potentially to zero, and conversion would deepen the subordination of the investor, hence worsening the investor’s standing in a bankruptcy. Some CoCos provide for a reduction in the value or principal amount of the security under such circumstances. In addition, most CoCos are considered to be high yield or “junk” securities and are therefore subject to the risks of investing in below investment-grade securities.

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NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Duration Risk: Duration is a mathematical calculation of the average life of a fixed-income or preferred security that serves as a measure of the security’s price risk to changes in interest rates (or yields). Securities with longer durations tend to be more sensitive to interest rate (or yield) changes than securities with shorter durations. Duration differs from maturity in that it considers potential changes to interest rates, and a security’s coupon payments, yield, price and par value and call features, in addition to the amount of time until the security matures. Various techniques may be used to shorten or lengthen the Fund’s duration. The duration of a security will be expected to change over time with changes in market factors and time to maturity.

Concentration Risk: Because the Fund invests at least 25% of its net assets in the financials sector, it will be more susceptible to adverse economic or regulatory occurrences affecting this sector, such as changes in interest rates, loan concentration and competition. In addition, the Fund will also be subject to the risks of investing in the individual industries and securities that comprise the financials sector, including the bank, diversified financials, real estate (including REITs) and insurance industries. To the extent that the Fund focuses its investments in other sectors or industries, such as (but not limited to) energy, industrials, utilities, pipelines, health care and telecommunications, the Fund will be subject to the risks associated with these particular sectors and industries. These sectors and industries may be adversely affected by, among others, changes in government regulation, world events and economic conditions.

Credit and Below-Investment-Grade Securities Risk: Preferred securities may be rated below investment grade or may be unrated. Below-investment-grade securities, or equivalent unrated securities, which are commonly known as “high-yield bonds” or “junk bonds,” generally involve greater volatility of price and risk of loss of income and principal, and may be more susceptible to real or perceived adverse economic and competitive industry conditions than higher grade securities. It is reasonable to expect that any adverse economic conditions could disrupt the market for lower-rated securities, have an adverse impact on the value of those securities and adversely affect the ability of the issuers of those securities to repay principal and interest on those securities.

Liquidity Risk: Liquidity risk is the risk that particular investments of the Fund may become difficult to sell or purchase. The market for certain investments may become less liquid or illiquid due to adverse changes in the conditions of a particular issuer or due to adverse market or economic conditions. In addition, dealer inventories of certain securities, which provide an indication of the ability of dealers to engage in “market making,” are at, or near, historic lows in relation to market size, which has the potential to increase price volatility in the fixed income markets in which the Fund invests. Federal banking regulations may also cause certain dealers to reduce their inventories of certain securities, which may further decrease the Fund’s ability to buy or sell such securities. As a result of this decreased liquidity, the Fund may have to accept a lower price to sell a security, sell other securities to raise cash, or give up an investment opportunity, any of which could have a negative effect on performance. Further, transactions in less liquid or illiquid securities may entail transaction costs that are higher than those for transactions in liquid securities.

Foreign (Non-U.S.) Securities Risk: The Fund directly purchases securities of foreign issuers. Risks of investing in foreign securities include currency risks, future political and economic developments and possible imposition of foreign withholding taxes on income or proceeds payable on the securities. In

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NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

addition, there may be less publicly available information about a foreign issuer than about a domestic issuer, and foreign issuers may not be subject to the same accounting, auditing and financial recordkeeping standards and requirements as domestic issuers. Moreover, securities of many foreign issuers and their markets may be less liquid and their prices more volatile than securities of comparable U.S. issuers.

Foreign Currency Risk: Although the Fund will report its NAV and pay dividends in U.S. dollars, foreign securities often are purchased with and make any dividend and interest payments in foreign currencies. Therefore, the Fund’s investments in foreign securities will be subject to foreign currency risk, which means that the Fund’s NAV could decline solely as a result of changes in the exchange rates between foreign currencies and the U.S. dollar. Certain foreign countries may impose restrictions on the ability of issuers of foreign securities to make payment of principal, dividends and interest to investors located outside the country, due to blockage of foreign currency exchanges or otherwise. The Fund may, but is not required to, engage in various investments that are designed to hedge the Fund’s foreign currency risks, and such investments are subject to the risks described under “Derivatives and Hedging Transactions Risk” below.

Leverage Risk: The use of leverage is a speculative technique and there are special risks and costs associated with leverage. The NAV of the Fund’s shares may be reduced by the issuance and ongoing costs of leverage. So long as the Fund is able to invest in securities that produce an investment yield that is greater than the total cost of leverage, the leverage strategy will produce higher current net investment income for the shareholders. On the other hand, to the extent that the total cost of leverage exceeds the incremental income gained from employing such leverage, shareholders would realize lower net investment income. In addition to the impact on net income, the use of leverage will have an effect of magnifying capital appreciation or depreciation for shareholders. Specifically, in an up market, leverage will typically generate greater capital appreciation than if the Fund were not employing leverage. Conversely, in down markets, the use of leverage will generally result in greater capital depreciation than if the Fund had been unlevered. To the extent that the Fund is required or elects to reduce its leverage, the Fund may need to liquidate investments, including under adverse economic conditions which may result in capital losses potentially reducing returns to shareholders. The use of leverage also results in the investment advisory fees payable to the investment advisor being higher than if the Fund did not use leverage and can increase operating costs, which may reduce total return. There can be no assurance that a leveraging strategy will be successful during any period in which it is employed.

Derivatives and Hedging Transactions Risk: The Fund’s use of derivatives, including for the purpose of hedging interest rate or foreign currency risks, presents risks different from, and possibly greater than, the risks associated with investing directly in traditional securities. Among the risks presented are counterparty risk, financial leverage risk, liquidity risk, OTC trading risk and tracking risk. The use of derivatives can lead to losses because of adverse movements in the price or value of the underlying asset, index or rate, which may be magnified by certain features of the derivatives.

Although the Fund may be able to offset to some extent any adverse effects of being unable to liquidate an option position, that Fund may experience losses in some cases as a result of such inability, may not be able to close its position and, in such an event would be unable to control its losses.

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NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Options Risk: Gains on options transactions depend on the investment manager’s ability to predict correctly the direction of stock prices, indexes, interest rates, and other economic factors, and unanticipated changes may cause poorer overall performance for the Fund than if it had not engaged in such transactions. A rise in the value of the security or index underlying a call option written by the Fund exposes the Fund to possible loss or loss of opportunity to realize appreciation in the value of any portfolio securities underlying or otherwise related to the call option. By writing a put option, the Fund assumes the risk of a decline in the underlying security or index. There can be no assurance that a liquid market will exist when the Fund seeks to close out an option position, and for certain options not traded on an exchange no market usually exists. Trading could be interrupted, for example, because of supply and demand imbalances arising from a lack of either buyers or sellers, or an options exchange could suspend trading after the price has risen or fallen more than the maximum specified by the exchange.

Although the Fund may be able to offset to some extent any adverse effects of being unable to liquidate an option position, that Fund may experience losses in some cases as a result of such inability, may not be able to close its position and, in such an event would be unable to control its losses.

Geopolitical Risk: Occurrence of global events similar to those in recent years, such as war, terrorist attacks, natural or environmental disasters, country instability, infectious disease epidemics, market instability, debt crises and downgrades, embargoes, tariffs, sanctions and other trade barriers and other governmental trade or market control programs, the potential exit of a country from its respective union and related geopolitical events, may result in market volatility and may have long-lasting impacts on both the U.S. and global financial markets. Additionally, those events, as well as other changes in foreign and domestic political and economic conditions, could adversely affect individual issuers or related groups of issuers, securities markets, interest rates, secondary trading, credit ratings, inflation, investor sentiment and other factors affecting the value of the Fund’s investments.

On March 29, 2017, the United Kingdom (UK) formally notified the European Council of its intention to leave the EU and commenced the formal process of withdrawing from the EU (referred to as Brexit). Brexit has resulted in volatility in European and global markets and could have negative long-term impacts on financial markets in the UK and throughout Europe. There is considerable uncertainty about the potential consequences and precise timeframe for Brexit, how it will be conducted, how negotiations of trade agreements will proceed, and how the financial markets will react. As this process unfolds, markets may be further disrupted. Given the size and importance of the UK’s economy, uncertainty about its legal, political and economic relationship with the remaining member states of the EU may continue to be a source of instability.

Growing tensions, including trade disputes, between the United States and other nations, or among foreign powers, and possible diplomatic, trade or other sanctions could adversely impact the global economy, financial markets and the Fund. The strengthening or weakening of the U.S. dollar relative to other currencies may, among other things, adversely affect the Fund’s investments denominated in non-U.S. dollar currencies. It is difficult to predict when similar events affecting the U.S. or global financial markets may occur, the effects that such events may have, and the duration of those effects.

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NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Regulatory Risk: The U.S. government has proposed and adopted multiple regulations that could have a long-lasting impact on the Fund and on the mutual fund industry in general. The U.S. Securities and Exchange Commission’s (SEC) final rules and amendments that modernize reporting and disclosure, along with other potential upcoming regulations, could, among other things, restrict the Fund’s ability to engage in transactions, and/or increase overall expenses of the Fund. In addition, the SEC, Congress, various exchanges and regulatory and self-regulatory authorities, both domestic and foreign, have undertaken reviews of the use of derivatives by registered investment companies, which could affect the nature and extent of derivatives used by the Fund. While the full extent of these regulations is still unclear, these regulations and actions may adversely affect both the Fund and the instruments in which the Fund invests as well as its ability to execute its investment strategy. Similarly, regulatory developments in other countries may have an unpredictable and adverse impact on the Fund.

LIBOR Risk: Many financial instruments may be tied to the London Interbank Offered Rate, or “LIBOR,” to determine payment obligations, financing terms, hedging strategies, or investment value. LIBOR is the offered rate for short-term Eurodollar deposits between major international banks. On July 27, 2017, the head of the UK Financial Conduct Authority announced a desire to phase out the use of LIBOR by the end of 2021. Regulators and industry working groups have suggested alternative reference rates, but global consensus is lacking and the process for amending existing contracts or instruments to transition away from LIBOR remains unclear. There also remains uncertainty and risk regarding the willingness and ability of issuers to include enhanced provisions in new and existing contracts or instruments. As such, the transition away from LIBOR may lead to increased volatility and illiquidity in markets that are tied to LIBOR, reduced values of LIBOR-related investments, and reduced effectiveness of hedging strategies, adversely affecting the Fund’s performance or NAV. In addition, the alternative reference rate may be an ineffective substitute resulting in prolonged adverse market conditions for the Fund.

Note 9. Other

In the normal course of business, the Fund enters into contracts that provide general indemnifications. The Fund’s maximum exposure under these arrangements is dependent on claims that may be made against the Fund in the future and, therefore, cannot be estimated; however, based on experience, the risk of material loss from such claims is considered remote.

Note 10. New Accounting Guidance

In August 2018, the Financial Accounting Standards Board (FASB) issued a new Accounting Standards Update (ASU) No. 2018-13, “Fair Value Measurement (Topic 820), Disclosure Framework Changes to the Disclosure Requirements for Fair Value Measurement”. The amendments to ASU 2018-13 are intended to improve the effectiveness of disclosures in the notes to financial statements through modifications to disclosure requirements on fair value measurements. ASU 2018-13 is effective for fiscal years, and interim periods within those fiscal years, beginning after December 15, 2019, with early adoption permitted. The Fund has adopted the amended disclosures permissible under the update. The adoption had no effect on the Fund’s net assets or results of operations.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

NOTES TO FINANCIAL STATEMENTS (Unaudited)—(Continued)

Note 11. Subsequent Events

Management has evaluated events and transactions occurring after June 30, 2019 through the date that the financial statements were issued, and has determined that no additional disclosure in the financial statements is required.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

PROXY RESULTS (Unaudited)

Cohen & Steers Limited Duration Preferred and Income Fund, Inc. shareholders voted on the following proposals at the annual meeting held on April 25, 2019. The description of each proposal and number of shares voted are as follows:

Common Shares	Shares Voted For		Authority Withheld
To elect Directors:
Daphne L. Richards		25,806,921		452,031
Gerald J. Maginnis		25,772,813		486,139
Joseph M. Harvey		25,847,855		411,097

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

AVERAGE ANNUAL TOTAL RETURNS

(Periods ended June 30, 2019) (Unaudited)

Based on Net Asset Value						Based on Market Value
One Year		5 Years		Since Inception (7/27/12)		One Year		5 Years		Since Inception (7/27/12)
	6.61%		6.86%		9.01%		5.30%		7.83%		8.08%

The performance data quoted represent past performance. Past performance is no guarantee of future results. The investment return will vary and the principal value of an investment will fluctuate and shares, if sold, may be worth more or less than their original cost. Current performance may be lower or higher than the performance data quoted. Performance results reflect the effect of leverage from utilization of borrowings under a revolving credit agreement. Current total returns of the Fund can be obtained by visiting our website at cohenandsteers.com. The Fund’s returns assume the reinvestment of all dividends and distributions at prices obtained under the Fund’s dividend reinvestment plan.

REINVESTMENT PLAN

We urge shareholders who want to take advantage of this plan and whose shares are held in ‘Street Name’ to consult your broker as soon as possible to determine if you must change registration into your own name to participate.

OTHER INFORMATION

A description of the policies and procedures that the Fund uses to determine how to vote proxies relating to portfolio securities is available (i) without charge, upon request, by calling 800-330-7348, (ii) on our website at cohenandsteers.com or (iii) on the SEC’s website at http://www.sec.gov. In addition, the Fund’s proxy voting record for the most recent 12-month period ended June 30 is available by August 31 of each year (i) without charge, upon request, by calling 800-330-7348 or (ii) on the SEC’s website at http://www.sec.gov.

Disclosures of the Fund’s complete holdings are required to be made monthly on Form N-PORT, with every third month made available to the public by the SEC 60 days after the end of the Fund’s fiscal quarter. Previously, the Fund filed its complete schedule of portfolio holdings with the SEC for the first and third quarters of each fiscal year on Form N-Q, which has now been rescinded. Both the Fund’s Form N-Q and Form N-PORT are available (i) without charge, upon request, by calling 800-330-7348 or (ii) on the SEC’s website at http://www.sec.gov.

Please note that distributions paid by the Fund to shareholders are subject to recharacterization for tax purposes and are taxable up to the amount of the Fund’s investment company taxable income and net realized gains. Distributions in excess of the Fund’s net investment company taxable income and net realized gains are a return of capital distributed from the Fund’s assets. To the extent this occurs, the Fund’s shareholders of record will be notified of the estimated amount of capital returned to shareholders for each such distribution and this information will also be available at cohenandsteers.com. The final tax treatment of all distributions is reported to shareholders on their 1099-DIV forms, which are mailed after the close of each calendar year. Distributions of capital decrease the Fund’s total assets and, therefore, could have the effect of increasing the Fund’s expense ratio. In addition, in order to make these distributions, the Fund may have to sell portfolio securities at a less than opportune time.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Notice is hereby given in accordance with Rule 23c-1 under the 1940 Act that the Fund may purchase, from time to time, shares of its common stock in the open market.

Benchmark Change

On September 11, 2018, the Fund’s Board of Directors approved a change to the Fund’s blended benchmark from 70% ICE BofAML US IG Institutional Capital Securities Index, 20% ICE BofAML 7% Constrained Adjustable Rate Preferred Securities Index and 10% Bloomberg Barclays Developed Market USD Contingent Capital Index to 60% ICE BofAML US IG Institutional Capital Securities Index, 20% ICE BofAML 7% Constrained Adjustable Rate Preferred Securities Index and 20% Bloomberg Barclays Developed Market USD Contingent Capital Index, effective January 1, 2019.

Investment Policy Clarification

The Fund’s investment policy of investing at least 80% of its Managed Assets (net assets plus assets obtained through leverage) in a portfolio of preferred and other income securities is being clarified as follows:

“Under normal market conditions, the Fund invests at least 80% of its Managed Assets in a portfolio of preferred and other income securities issued by U.S. and non-U.S. companies, including traditional preferred securities; hybrid-preferred securities that have investment and economic characteristics of both preferred stock and debt securities; floating-rate and fixed-to-floating-rate preferred securities; fixed- and floating-rate corporate debt securities; convertible securities; contingent capital securities (CoCos); and securities of other open-end, closed-end or exchange-traded funds that invest primarily in preferred and/or debt securities.”

Contingent Capital Securities

Contingent capital securities (CoCos) are debt or preferred securities with loss absorption characteristics that provide for an automatic write-down of the principal amount or value of securities or the mandatory conversion into common shares of the issuer under certain circumstances. A mandatory conversion might be automatically triggered, for instance, if a company fails to meet the capital minimum described in the security, the company’s regulator makes a determination that the security should convert, or the company receives specified levels of extraordinary public support. Since the common stock of the issuer may not pay a dividend, investors in these instruments could experience a reduced income rate, potentially to zero, and conversion would deepen the subordination of the investor (worsening the Fund’s standing in a bankruptcy). In addition, some CoCos provide for an automatic write-down of capital under such circumstances.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

APPROVAL OF INVESTMENT ADVISORY AGREEMENT

The Board of Directors of the Fund, including a majority of the directors who are not parties to the Fund’s investment advisory agreement (the Advisory Agreement), or interested persons of any such party (the Independent Directors), has the responsibility under the Investment Company Act of 1940 to approve the Fund’s Advisory Agreement for its initial two year term and its continuation annually thereafter at a meeting of the Board of Directors called for the purpose of voting on the approval or continuation. The Advisory Agreement was discussed at a meeting of the Independent Directors, in their capacity as the Contract Review Committee, held on June 4, 2019 and at meetings of the full Board of Directors held in person on March 19, 2019 and June 11, 2019. At the meeting of the full Board of Directors on June 11, 2019, the Advisory Agreement was discussed and was unanimously continued for a term ending June 30, 2020 by the Fund’s Board of Directors, including the Independent Directors. The Independent Directors were represented by independent counsel who assisted them in their deliberations during the meetings and executive sessions.

In considering whether to continue the Advisory Agreement, the Board of Directors reviewed materials provided by an independent data provider, which included, among other items, fee, expense and performance information compared to peer funds (the Peer Funds) and performance comparisons to a larger category universe; summary information prepared by the Fund’s investment advisor (the Investment Advisor); and a memorandum from Fund counsel outlining the legal duties of the Board of Directors. The Board of Directors also spoke directly with representatives of the independent data provider and met with investment advisory personnel. In addition, the Board of Directors considered information provided from time to time by the Investment Advisor throughout the year at meetings of the Board of Directors, including presentations by portfolio managers relating to the investment performance of the Fund and the investment strategies used in pursuing the Fund’s objective. The Board also considered information provided in response to a request for information submitted by counsel to the Independent Directors, as well as information provided in response to a supplemental request. In particular, the Board of Directors considered the following:

(i) The nature, extent and quality of services to be provided by the Investment Advisor: The Board of Directors reviewed the services that the Investment Advisor provides to the Fund, including, but not limited to, making the day-to-day investment decisions for the Fund, placing orders for the investment and reinvestment of the Fund’s assets, furnishing information to the Board of Directors of the Fund regarding the Fund’s portfolio, providing individuals to serve as Fund officers, and generally managing the Fund’s investments in accordance with the stated policies of the Fund. The Board of Directors also discussed with officers and portfolio managers of the Fund the types of transactions that were being done on behalf of the Fund. Additionally, the Board of Directors took into account the services provided by the Investment Advisor to its other funds and accounts, including those that have investment objectives and strategies similar to those of the Fund. The Board of Directors also considered the education, background and experience of the Investment Advisor’s personnel, particularly noting the potential benefit that the portfolio managers’ work experience and favorable reputation can have on the Fund. The Board of Directors further noted the Investment Advisor’s ability to attract qualified and experienced personnel. The Board of Directors also considered the administrative services provided by the Investment Advisor, including compliance and accounting services. After consideration of the above factors, among others, the Board of Directors concluded that the nature, extent and quality of services provided by the Investment Advisor are satisfactory and appropriate.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

(ii) Investment performance of the Fund and the Investment Advisor: The Board of Directors considered the investment performance of the Fund compared to Peer Funds and compared to a relevant blended benchmark and a relevant linked blended benchmark. The Board of Directors noted that the Fund underperformed the Peer Funds’ median for the one-year period ended March 31, 2019, outperformed the Peer Funds’ median for the three-year period ended March 31, 2019 and was in line with the Peer Funds’ median for the five-year period ended March 31, 2019, ranking in the fourth, third, and fourth quintiles for each period, respectively. The Board of Directors also noted that the Fund underperformed its blended benchmark and linked blended benchmark for the one-year period ended March 31, 2019, and outperformed its blended benchmark and linked blended benchmark for the three- and five-year periods ended March 31, 2019. The Board of Directors engaged in discussions with the Investment Advisor regarding the contributors to and detractors from the Fund’s performance during the period, as well as the impact of leverage on the Fund’s performance. The Board of Directors also considered supplemental information provided by the Investment Advisor, including a narrative summary of various factors affecting performance and the Investment Advisor’s performance in managing other funds and products investing in preferred securities. The Board of Directors determined that Fund performance, in light of all the considerations noted above, supported the continuation of the Advisory Agreement.

(iii) Cost of the services to be provided and profits to be realized by the Investment Advisor from the relationship with the Fund: The Board of Directors considered the contractual and actual management fees paid by the Fund as well as the Fund’s total expense ratios. As part of its analysis, the Board of Directors gave consideration to the fee and expense analyses provided by the independent data provider. The Board of Directors noted that the actual management fees at managed and common asset levels were lower than the Peer Funds’ medians, ranking in the second and third quintiles, respectively. The Board of Directors considered that the Fund’s total expense ratios including investment-related expenses at managed and common asset levels were lower than the Peer Funds’ medians, ranking in the second quintile for each. The Board of Directors also noted that the Fund’s total expense ratios excluding investment-related expenses at managed and common asset levels were lower than the Peer Funds’ medians, ranking in the first quintile for each. The Board of Directors considered the impact of leverage levels on the Fund’s fees and expenses at managed and common asset levels. In light of the considerations above, the Board of Directors concluded that the Fund’s current expense structure was satisfactory.

The Board of Directors also reviewed information regarding the profitability to the Investment Advisor of its relationship with the Fund. The Board of Directors considered the level of the Investment Advisor’s profits and whether the profits were reasonable for the Investment Advisor. The Board of Directors took into consideration other benefits to be derived by the Investment Advisor in connection with the Advisory Agreement, noting particularly the research and related services, within the meaning of Section 28(e) of the Securities Exchange Act of 1934, which the Investment Advisor receives by allocating the Fund’s brokerage transactions. The Board of Directors further considered that the Investment Advisor continues to reinvest profits back in the business, including upgrading and/or implementing new trading, compliance and accounting systems, and by adding investment personnel to the portfolio management teams. The Board of Directors also considered the administrative services provided by the Investment Advisor and the associated administration fee paid to the Investment Advisor for such services under the Administration Agreement. The Board of Directors determined that the services received under the Administration Agreement are beneficial to the Fund. The Board of

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Directors concluded that the profits realized by the Investment Advisor from its relationship with the Fund were reasonable and consistent with the Investment Advisor’s fiduciary duties.

(iv) The extent to which economies of scale would be realized as the Fund grows and whether fee levels would reflect such economies of scale: The Board of Directors noted that, as a closed-end fund, the Fund would not be expected to have inflows of capital that might produce increasing economies of scale. The Board of Directors determined that, given the Fund’s closed-end structure, there were not significant economies of scale that were not already being shared with shareholders. In considering economies of scale, the Board of Directors also noted, as discussed above in (iii), that the Investment Advisor continues to reinvest profits back in the business.

(v) Comparison of services to be rendered and fees to be paid to those under other investment advisory contracts, such as contracts of the same and other investment advisors or other clients: As discussed above in (iii), the Board of Directors compared the fees paid under the Advisory Agreement to those under other investment advisory contracts of other investment advisors managing Peer Funds. The Board of Directors also compared the services rendered and fees paid under the Advisory Agreement to those under the Investment Advisor’s other fund advisory agreements and advisory contracts with institutional and other clients with similar investment mandates, including additional information about the ranges of such fees provided in response to a supplemental request for information, noting that the Investment Advisor provides more services to the Fund than it does for institutional or subadvised accounts. The Board of Directors also considered the entrepreneurial risk and financial exposure assumed by the Investment Advisor in developing and managing the Fund that the Investment Advisor does not have with institutional and other clients and other differences in the management of registered investment companies and institutional accounts. The Board of Directors determined that on a comparative basis the fees under the Advisory Agreement were reasonable in relation to the services provided.

No single factor was cited as determinative to the decision of the Board of Directors, and each Director may have assigned different weights to the various factors. Rather, after weighing all of the considerations and conclusions discussed above, the Board of Directors, including the Independent Directors, unanimously approved the continuation of the Advisory Agreement.

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COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Cohen & Steers Privacy Policy

Facts	What Does Cohen & Steers Do With Your Personal Information?
Why?	Financial companies choose how they share your personal information. Federal law gives consumers the right to limit some but not all sharing. Federal law also requires us to tell you how we collect, share, and protect your personal information. Please read this notice carefully to understand what we do.
What?	The types of personal information we collect and share depend on the product or service you have with us. This information can include: • Social Security number and account balances • Transaction history and account transactions • Purchase history and wire transfer instructions
How?	All financial companies need to share customers’ personal information to run their everyday business. In the section below, we list the reasons financial companies can share their customers’ personal information; the reasons Cohen & Steers chooses to share; and whether you can limit this sharing.

Reasons we can share your personal information	Does Cohen & Steers share?	Can you limit this sharing?
For our everyday business purposes— such as to process your transactions, maintain your account(s), respond to court orders and legal investigations, or reports to credit bureaus	Yes	No
For our marketing purposes— to offer our products and services to you	Yes	No
For joint marketing with other financial companies—	No	We don’t share
For our affiliates’ everyday business purposes— information about your transactions and experiences	No	We don’t share
For our affiliates’ everyday business purposes— information about your creditworthiness	No	We don’t share
For our affiliates to market to you—	No	We don’t share
For non-affiliates to market to you—	No	We don’t share
Questions?     Call 800.330.7348

48

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Cohen & Steers Privacy Policy—(Continued)

Who we are
Who is providing this notice?	Cohen & Steers Capital Management, Inc., Cohen & Steers Asia Limited, Cohen & Steers Japan, LLC, Cohen & Steers UK Limited, Cohen & Steers Securities, LLC, Cohen & Steers Private Funds and Cohen & Steers Open and Closed-End Funds (collectively, Cohen & Steers).
What we do
How does Cohen & Steers protect my personal information?	To protect your personal information from unauthorized access and use, we use security measures that comply with federal law. These measures include computer safeguards and secured files and buildings. We restrict access to your information to those employees who need it to perform their jobs, and also require companies that provide services on our behalf to protect your information.
How does Cohen & Steers collect my personal information?	We collect your personal information, for example, when you: • Open an account or buy securities from us • Provide account information or give us your contact information • Make deposits or withdrawals from your account We also collect your personal information from other companies.
Why can’t I limit all sharing?	Federal law gives you the right to limit only: • sharing for affiliates’ everyday business purposes—information about your creditworthiness • affiliates from using your information to market to you • sharing for non-affiliates to market to you State law and individual companies may give you additional rights to limit sharing.
Definitions
Affiliates	Companies related by common ownership or control. They can be financial and nonfinancial companies. • Cohen & Steers does not share with affiliates.
Non-affiliates	Companies not related by common ownership or control. They can be financial and nonfinancial companies. • Cohen & Steers does not share with non-affiliates.
Joint marketing	A formal agreement between non-affiliated financial companies that together market financial products or services to you. • Cohen & Steers does not jointly market.

49

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

Cohen & Steers Open-End Mutual Funds

COHEN & STEERS REALTY SHARES

• Designed for investors seeking total return, investing primarily in U.S. real estate securities

• Symbols: CSJAX, CSJCX, CSJIX, CSRSX, CSJRX, CSJZX

COHEN & STEERS REAL ESTATE SECURITIES FUND

• Designed for investors seeking total return, investing primarily in U.S. real estate securities

• Symbols: CSEIX, CSCIX, CREFX, CSDIX, CIRRX, CSZIX

COHEN & STEERS INSTITUTIONAL REALTY SHARES

• Designed for institutional investors seeking total return, investing primarily in U.S. real estate securities

• Symbol: CSRIX

COHEN & STEERS GLOBAL REALTY SHARES

• Designed for investors seeking total return, investing primarily in global real estate equity securities

• Symbols: CSFAX, CSFCX, CSSPX, GRSRX, CSFZX

COHEN & STEERS INTERNATIONAL REALTY FUND

• Designed for investors seeking total return, investing primarily in international (non-U.S.) real estate securities

• Symbols: IRFAX, IRFCX, IRFIX, IRFRX, IRFZX

COHEN & STEERS REAL ASSETS FUND

• Designed for investors seeking total return and the maximization of real returns during inflationary environments by investing primarily in real assets

• Symbols: RAPAX, RAPCX, RAPIX, RAPRX, RAPZX

COHEN & STEERS PREFERRED SECURITIES

AND INCOME FUND

• Designed for investors seeking total return (high current income and capital appreciation), investing primarily in preferred and debt securities issued by U.S. and non-U.S. companies

• Symbols: CPXAX, CPXCX, CPXFX, CPXIX, CPRRX, CPXZX

COHEN & STEERS LOW DURATION PREFERRED

AND INCOME FUND

• Designed for investors seeking high current income and capital preservation by investing in low-duration preferred and other income securities issued by U.S. and non-U.S. companies

• Symbols: LPXAX, LPXCX, LPXIX, LPXRX, LPXZX

COHEN & STEERS MLP & ENERGY OPPORTUNITY FUND

• Designed for investors seeking total return, investing primarily in midstream energy master limited partnership (MLP) units and related stocks

• Symbols: MLOAX, MLOCX, MLOIX, MLORX, MLOZX

COHEN & STEERS GLOBAL INFRASTRUCTURE FUND

• Designed for investors seeking total return, investing primarily in global infrastructure securities

• Symbols: CSUAX, CSUCX, CSUIX, CSURX, CSUZX

COHEN & STEERS ALTERNATIVE INCOME FUND

(FORMERLY COHEN & STEERS DIVIDEND VALUE FUND)

• Designed for investors seeking high current income and capital appreciation, investing in equity, preferred and debt securities, focused on real assets and alternative income strategies

• Symbols: DVFAX, DVFCX, DVFIX, DVFRX, DVFZX

Distributed by Cohen & Steers Securities, LLC.

Please consider the investment objectives, risks, charges and expenses of any Cohen & Steers U.S. registered open-end fund carefully before investing. A summary prospectus and prospectus containing this and other information can be obtained by calling 800-330-7348 or by visiting cohenandsteers.com. Please read the summary prospectus and prospectus carefully before investing.

50

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

OFFICERS AND DIRECTORS

Robert H. Steers

Director and Chairman

Joseph M. Harvey

Director and Vice President

Michael G. Clark

Director

George Grossman

Director

Dean A. Junkans

Director

Gerald J. Maginnis

Director

Jane F. Magpiong

Director

Daphne L. Richards

Director

C. Edward Ward, Jr.

Director

Adam M. Derechin

President and Chief Executive Officer

William F. Scapell

Vice President

Elaine Zaharis-Nikas

Vice President

Dana A. DeVivo

Secretary and Chief Legal Officer

James Giallanza

Chief Financial Officer

Albert Laskaj

Treasurer

Lisa D. Phelan

Chief Compliance Officer

KEY INFORMATION

Investment Advisor

Cohen & Steers Capital Management, Inc.

280 Park Avenue

New York, NY 10017

(212) 832-3232

Co-administrator and Custodian

State Street Bank and Trust Company

One Lincoln Street

Boston, MA 02111

Transfer Agent

Computershare

150 Royall Street

Canton, MA 02021

(866) 227-0757

Legal Counsel

Ropes & Gray LLP

1211 Avenue of the Americas

New York, NY 10036

New York Stock Exchange Symbol:    LDP

Website: cohenandsteers.com

This report is for shareholder information. This is not a prospectus intended for use in the purchase or sale of Fund shares. Performance data quoted represent past performance. Past performance is no guarantee of future results and your investment may be worth more or less at the time you sell your shares.

51

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Cohen & Steers

Limited Duration

Preferred and

Income Fund

Semiannual Report June 30, 2019

Beginning on January 1, 2021, as permitted by regulations adopted by the U.S. Securities and Exchange Commission, paper copies of the Fund’s annual and semi-annual shareholder reports will no longer be sent by mail, unless you specifically request paper copies of the reports. Instead, the reports will be made available on the Fund’s website at www.cohenandsteers.com, and you will be notified by mail each time a report is posted and provided with a website link to access the report.

If you have already elected to receive shareholder reports electronically, you will not be affected by this change and you need not take any action. You may elect to receive shareholder reports and other communications from a Fund electronically anytime by contacting your financial intermediary or, if you are a direct investor, by signing up at www.cohenandsteers.com.

Beginning on January 1, 2019, you may elect to receive all future reports in paper free of charge. If you invest through a financial intermediary, you can contact your financial intermediary or, if you are a direct investor, you can call (866) 227-0757 to let the Fund know you wish to continue receiving paper copies of your shareholder reports. Your election to receive reports in paper will apply to all Funds held in your account if you invest through your financial intermediary or all Funds held within the fund complex if you invest directly with the Fund.

LDPSAR

Item 2. Code of Ethics.

Not applicable.

Item 3. Audit Committee Financial Expert.

Not applicable.

Item 4. Principal Accountant Fees and Services.

Not applicable.

Item 5. Audit Committee of Listed Registrants.

Not applicable.

Item 6. Schedule of Investments.

Included in Item 1 above.

Item 7. Disclosure of Proxy Voting Policies and Procedures for Closed-End Management Investment Companies.

Not applicable.

Item 8. Portfolio Managers of Closed-End Management Investment Companies.

(a) Not applicable.

(b) The registrant has not had any change in the portfolio managers identified in response to paragraph (a)(1) of this item in the registrant’s most recent annual report on Form N-CSR.

Item 9. Purchases of Equity Securities by Closed-End Management Investment Company and Affiliated Purchasers.

None.

Item 10. Submission of Matters to a Vote of Security Holders.

None.

Item 11. Controls and Procedures.

(a) The registrant’s principal executive officer and principal financial officer have concluded that the registrant’s disclosure controls and procedures are reasonably designed to ensure that information required to be disclosed by the registrant in this Form N-CSR was recorded,

processed, summarized and reported within the time periods specified in the Securities and Exchange Commission’s rules and forms, based upon such officers’ evaluation of these controls and procedures as of a date within 90 days of the filing date of this report.

(b) There were no changes in the registrant’s internal control over financial reporting that occurred during the period covered by this report that have materially affected, or are reasonably likely to materially affect, the registrant’s internal control over financial reporting.

Item 12. Disclosure of Securities Lending Activities for Closed-End Management Investment Companies.

(a) The Fund did not engage in any securities lending activity during the fiscal year ended December 31, 2018.

(b) The Fund did not engage in any securities lending activity and did not engage a securities lending agent during the fiscal year ended December 31, 2018.

Item 13. Exhibits.

(a)(1) Not Applicable.

(a)(2) Certifications of principal executive officer and principal financial officer as required by Rule 30a-2(a) under the Investment Company Act of 1940.

(a)(3) Not applicable.

(b) Certifications of principal executive officer and principal financial officer as required by Rule 30a- 2(b) under the Investment Company Act of 1940.

(c) Registrant’s notices to shareholders pursuant to Registrant’s exemptive order granting an exemption from Section 19(b) of the 1940 Act and Rule 19b-1 thereunder regarding distributions pursuant to the Registrant’s Managed Distribution Plan.

SIGNATURES

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.

COHEN & STEERS LIMITED DURATION PREFERRED AND INCOME FUND, INC.

By:	/s/ Adam M. Derechin
	Name:   Adam M. Derechin Title:    Principal Executive Officer        (President and Chief Executive Officer)
Date:	September 5, 2019

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/ Adam M. Derechin
	Name:   Adam M. Derechin Title:    Principal Executive Officer        (President and Chief Executive Officer)
By:	/s/ James Giallanza
	Name:   James Giallanza Title:    Principal Financial Officer        (Chief Financial Officer)
Date:	September 5, 2019