MHN BlackRock MuniHoldings New York Quality Fund Inc

Item 1 –  Report to Stockholders

(a) The Report to Shareholders is attached herewith.

BlackRock MuniHoldings New York Quality Fund, Inc. (MHN)

BlackRock Virginia Municipal Bond Trust (BHV)

Table of Contents

Municipal Market Overview For the Reporting Period Ended August 31, 2021

Municipal Market Conditions

Municipal bonds posted positive total returns during the period despite rising interest rates as the economy normalized from the pandemic-induced economic shutdown. The asset class benefited from favorable supply and demand dynamics and improved credit fundamentals amid considerable fiscal stimulus and a quicker-than-expected rebound in state and local government revenues. As a result, municipal bonds generated substantial excess returns versus duration-matched U.S. Treasuries and longer duration and lower credit quality strategies outperformed. Despite broad strength, the market contended with brief periods of volatility surrounding U.S. election uncertainty as well as a temporary valuation-based market correction in late February.

Financial Conditions of Municipal Issuers

The COVID-19 pandemic has been an unprecedented shock to the system impacting nearly every sector in the municipal market. Fortunately, most states and municipalities were in excellent fiscal health before the crisis, and the federal government delivered another $350 billion injection. Direct state and local government aid has provided additional support to own-source government tax receipts, which continue to outperform the dire predictions made in early 2020. Essential public services such as power, water, and sewer remain protected segments. State housing authority bonds, flagship universities, and strong national and regional health systems have absorbed the impact of the economic shock. While some segments still confront financial pressures, the combination of new federal stimulus and vaccine distribution is boosting economic activity and, consequently, increasing revenue receipts in these sectors as well. Critical providers (safety net hospitals, mass transit systems, airports) with limited resources may still experience fiscal strain but the additional aid and the re-opening of the economy will continue to support operating results in the second half of 2021, despite the surging delta variant of the coronavirus. BlackRock anticipates that a small subset of the market, mainly non-rated stand-alone projects, will remain susceptible to credit deterioration. However, the risk of new mandated lockdowns is significantly diminished, and we expect limited impact on the high fundamental quality of state and local governments as well as essential service providers. While credit fundamentals have improved noticeably across the municipal space, BlackRock advocates careful credit selection as the market must still navigate near-term uncertainty.

The opinions expressed are those of BlackRock as of August 31, 2021 and are subject to change at any time due to changes in market or economic conditions. The comments should not be construed as a recommendation of any individual holdings or market sectors. Investing involves risk including loss of principal. Bond values fluctuate in price so the value of your investment can go down depending on market conditions. Fixed income risks include interest-rate and credit risk. Typically, when interest rates rise, there is a corresponding decline in bond values. Credit risk refers to the possibility that the bond issuer will not be able to make principal and interest payments. There may be less information on the financial condition of municipal issuers than for public corporations. The market for municipal bonds may be less liquid than for taxable bonds. Some investors may be subject to Alternative Minimum Tax (“AMT”). Capital gains distributions, if any, are taxable.

The S&P Municipal Bond Index, a broad, market value-weighted index, seeks to measure the performance of the U.S. municipal bond market. All bonds in the index are exempt from U.S. federal income taxes or subject to the AMT. Past performance is not an indication of future results. Index performance is shown for illustrative purposes only. It is not possible to invest directly in an index.

The Benefits and Risks of Leveraging

The Trusts may utilize leverage to seek to enhance the distribution rate on, and net asset value (“NAV”) of, their common shares (“Common Shares”). However, there is no guarantee that these objectives can be achieved in all interest rate environments.

In general, the concept of leveraging is based on the premise that the financing cost of leverage, which is based on short-term interest rates, is normally lower than the income earned by a Trust on its longer-term portfolio investments purchased with the proceeds from leverage. To the extent that the total assets of each Trust (including the assets obtained from leverage) are invested in higher-yielding portfolio investments, each Trust’s shareholders benefit from the incremental net income. The interest earned on securities purchased with the proceeds from leverage (after paying the leverage costs) is paid to shareholders in the form of dividends, and the value of these portfolio holdings (less the leverage liability) is reflected in the per share NAV.

To illustrate these concepts, assume a Trust’s Common Shares capitalization is $100 million and it utilizes leverage for an additional $30 million, creating a total value of $130 million available for investment in longer-term income securities. If prevailing short-term interest rates are 3% and longer-term interest rates are 6%, the yield curve has a strongly positive slope. In this case, a Trust’s financing costs on the $30 million of proceeds obtained from leverage are based on the lower short-term interest rates. At the same time, the securities purchased by a Trust with the proceeds from leverage earn income based on longer-term interest rates. In this case, a Trust’s financing cost of leverage is significantly lower than the income earned on a Trust’s longer-term investments acquired from such leverage proceeds, and therefore the holders of Common Shares (“Common Shareholders”) are the beneficiaries of the incremental net income.

However, in order to benefit Common Shareholders, the return on assets purchased with leverage proceeds must exceed the ongoing costs associated with the leverage. If interest and other costs of leverage exceed a Trust’s return on assets purchased with leverage proceeds, income to shareholders is lower than if a Trust had not used leverage. Furthermore, the value of the Trusts’ portfolio investments generally varies inversely with the direction of long-term interest rates, although other factors can influence the value of portfolio investments. In contrast, the amount of each Trust’s obligations under its respective leverage arrangement generally does not fluctuate in relation to interest rates. As a result, changes in interest rates can influence the Trusts’ NAVs positively or negatively. Changes in the future direction of interest rates are very difficult to predict accurately, and there is no assurance that a Trust’s intended leveraging strategy will be successful.

The use of leverage also generally causes greater changes in each Trust’s NAV, market price and dividend rates than comparable portfolios without leverage. In a declining market, leverage is likely to cause a greater decline in the NAV and market price of a Trust’s Common Shares than if the Trust were not leveraged. In addition, each Trust may be required to sell portfolio securities at inopportune times or at distressed values in order to comply with regulatory requirements applicable to the use of leverage or as required by the terms of leverage instruments, which may cause the Trust to incur losses. The use of leverage may limit a Trust’s ability to invest in certain types of securities or use certain types of hedging strategies. Each Trust incurs expenses in connection with the use of leverage, all of which are borne by Common Shareholders and may reduce income to the Common Shares. Moreover, to the extent the calculation of each Trust’s investment advisory fees includes assets purchased with the proceeds of leverage, the investment advisory fees payable to the Trusts’ investment adviser will be higher than if the Trusts did not use leverage.

To obtain leverage, each Trust has issued Variable Rate Demand Preferred Shares (“VRDP Shares” or “Preferred Shares”) and/or leveraged its assets through the use of tender option bond trusts (“TOB Trusts”) as described in the Notes to Financial Statements.

Under the Investment Company Act of 1940, as amended (the “1940 Act”), each Trust is permitted to issue debt up to 33 1/3% of its total managed assets or equity securities (e.g., Preferred Shares) up to 50% of its total managed assets. A Trust may voluntarily elect to limit its leverage to less than the maximum amount permitted under the 1940 Act. In addition, a Trust may also be subject to certain asset coverage, leverage or portfolio composition requirements imposed by the Preferred Shares’ governing instruments or by agencies rating the Preferred Shares, which may be more stringent than those imposed by the 1940 Act.

If a Trust segregates or designates on its books and records cash or liquid assets having a value not less than the value of a Trust’s obligations under the TOB Trust (including accrued interest), then the TOB Trust is not considered a senior security and is not subject to the foregoing limitations and requirements imposed by the 1940 Act.

Derivative Financial Instruments

The Trusts may invest in various derivative financial instruments. These instruments are used to obtain exposure to a security, commodity, index, market, and/or other assets without owning or taking physical custody of securities, commodities and/or other referenced assets or to manage market, equity, credit, interest rate, foreign currency exchange rate, commodity and/or other risks. Derivative financial instruments may give rise to a form of economic leverage and involve risks, including the imperfect correlation between the value of a derivative financial instrument and the underlying asset, possible default of the counterparty to the transaction or illiquidity of the instrument. The Trusts’ successful use of a derivative financial instrument depends on the investment adviser’s ability to predict pertinent market movements accurately, which cannot be assured. The use of these instruments may result in losses greater than if they had not been used, may limit the amount of appreciation a Trust can realize on an investment and/or may result in lower distributions paid to shareholders. The Trusts’ investments in these instruments, if any, are discussed in detail in the Notes to Financial Statements.

Investment Objective

BlackRock MuniHoldings New York Quality Fund, Inc.’s (MHN) (the “Trust”) investment objective is to provide shareholders with current income exempt from U.S. federal income tax and New York State and New York City personal income taxes. The Trust seeks to achieve its investment objective by investing, under normal market conditions, at least 80% of its assets in investment grade (as rated or, if unrated, considered to be of comparable quality at the time of investment by the Trust’s investment adviser) New York municipal obligations exempt from U.S. federal income taxes (except that the interest may be subject to the U.S. federal alternative minimum tax) and New York State and New York City personal income taxes (“New York Municipal Bonds”), except at times when, in the judgment of its investment adviser, New York Municipal Bonds of sufficient quality and quantity are unavailable for investment by the Trust. At all times, except during temporary defensive periods, the Trust invests at least 65% of its assets in New York Municipal Bonds. The Trust invests, under normal market conditions, at least 80% of its assets in municipal obligations with remaining maturities of one year or more. The Trust may invest up to 20% of its managed assets in securities that are rated below investment grade, or are considered by BlackRock to be of comparable quality, at the time of purchase. The Trust may invest directly in such securities or synthetically through the use of derivatives.

No assurance can be given that the Trust’s investment objective will be achieved.

TOTAL RETURN BASED ON A $10,000 INVESTMENT

Performance results may include adjustments made for financial reporting purposes in accordance with U.S. generally accepted accounting principles.

Past performance is not an indication of future results.

More information about the Trust’s historical performance can be found in the “Closed End Funds” section of blackrock.com.

The following discussion relates to the Trust’s absolute performance based on NAV:

Despite rising yields (and falling prices) for U.S. Treasuries, municipal bonds produced healthy gains in the past 12 months. Tax-exempt bonds continued to rally off of their pandemic-driven lows due to the release of multiple coronavirus vaccines, better-than-expected growth, improving municipal finances and robust investor demand. The prospect of substantial fiscal stimulus and higher taxes were additional tailwinds for the market. These factors led to a decline in yield spreads versus U.S. Treasuries, fueling positive returns for municipal debt.

At the beginning of the reporting period, the New York municipal market was in the midst of a recovery from the depths of last year’s pandemic-driven sell-off. However, yield spreads remained above their early 2020 levels at that time due to the larger impact of COVID-19 on New York compared to the nation as a whole. As the period progressed, the state’s market began to benefit from a deluge of federal aid and a reopening of the economy. These factors helped New York yield spreads rebound and, in some cases, tighten beyond pre-pandemic levels. Technical support was also a driver of better valuations, as investor demand increased steadily and new-issue supply was limited for most of the period.

Holdings in Puerto Rico, particularly sales tax bonds, were notable outperformers. The transportation and tax-backed sectors were also sizable contributors, as some issuers benefited directly from aid, while others were helped by the increase in tax receipts from the reopening of the economy. Positions in longer-term bonds, which outpaced short-and intermediate-term issues, further contributed to results. The Trust’s use of leverage also aided performance by augmenting income and amplifying the effect of rising prices.

The Trust actively sought to manage interest rate risk using U.S. Treasury futures. This strategy detracted from performance from March onward, when yields fell, offsetting earlier gains.

The views expressed reflect the opinions of BlackRock as of the date of this report and are subject to change based on changes in market, economic or other conditions. These views are not intended to be a forecast of future events and are no guarantee of future results.