NUW Nuveen AMT Free Municipal Value Fund

ITEM 1. REPORTS TO STOCKHOLDERS.

Life

is Complex.

Nuveen makes things e-simple.

It only takes a minute to sign up for e-Reports. Once enrolled, you’ll receive an e-mail as soon as your Nuveen Fund information is ready—no more waiting for delivery by regular mail. Just click on the link within the e-mail to see the report and save it on your computer if you wish.

Free e-Reports
right to your e-mail!

www.investordelivery.com
If you receive your Nuveen Fund
dividends and statements from your
financial professional or brokerage account.

or

www.nuveen.com/client-access
If you receive your Nuveen Fund
dividends and statements directly from
Nuveen.

NOT FDIC INSURED MAY LOSE
VALUE NO BANK GUARANTEE

Table of Contents

3

Chair’s Letter
to Shareholders

Dear Shareholders,

In 2021, we have seen a nearly full recovery in the economy and began to approach more normalcy in our daily lives, enabled by unprecedented help from governments and central banks and the development of effective COVID-19 vaccines and therapies. However, the newly discovered omicron variant is a reminder that pandemic risks are still with us, which has created uncertainty about the economic outlook in the coming year and contributed to recent short-term volatility in the markets.

As some factors that drove 2021’s rebound fade and the pandemic continues to pose some downside risk, global economic growth is expected to be slower but remain expansionary. In the U.S., the Federal Reserve has begun winding down its pandemic bond buying program and could begin raising short-term interest rates in 2022. The crisis-related fiscal stimulus totaling $5.3 trillion to support individuals and families, small and large businesses, state and local governments, education, public health and vaccinations will also phase out. Government spending will be lower from here but should continue to aid the global recovery in the coming year. In the U.S., the $1.2 trillion Infrastructure Investment and Jobs Act recently went into effect on November 15, 2021, funding upgrades to road, rail and air transportation, broadband internet, and power and water systems. Europe, Japan and China are also expected to roll out additional fiscal support in 2022.

Investors will continue to closely monitor inflation. The spread of the COVID-19 delta variant in 2021 exacerbated shortages of raw materials and labor and disrupted transportation and logistics, which contributed to inflation staying elevated for longer than expected. This prompted some central banks to begin withdrawing monetary stimulus measures and others to raise interest rates. The timing of monetary policy normalization will be a key focus in the markets, as will the progression of the virus, which can be difficult to predict given uneven vaccination rates around the world and the potential for new variants.

We anticipate periodic volatility as markets digest incoming data on economic activity levels, inflation, interest rates and COVID-19, as well as their impacts to consumer behavior and corporate profits. Short-term market fluctuations can provide your Fund opportunities to invest in new ideas as well as upgrade existing positioning while providing long-term value for shareholders. For more than 120 years, the careful consideration of risk and reward has guided Nuveen’s focus on delivering long-term results to our shareholders.

As the global economy shifts from the fast recovery phase to a new phase of expansion potentially impacted by inflations and new COVID strains, it may be an opportune time to assess your portfolio. We encourage you to review your time horizon, risk tolerance and investment goals with your financial professional.

On behalf of the other members of the Nuveen Fund Board, I look forward to continuing to earn your trust in the months and years ahead.

Sincerely,

Terence J. Toth
Chair of the Board
December 22, 2021

4

Important Notices

For Shareholders of

Nuveen AMT- Free Municipal Value Fund (NUW)

Nuveen Enhanced Municipal Value Fund (NEV)

Fund Reorganizations

Effective prior to the opening of business on March 8, 2021, Nuveen New Jersey Municipal Value Fund (NJV) and Nuveen Pennsylvania Municipal Value Fund (NPN) were reorganized into NUW (each a “Reorganization” and collectively, the “Reorganizations”). Refer to Note 1 and Note 10 of the Notes to Financial Statements within this report for further details on the Reorganizations.

After the end of the reporting period, during December 2021, NEV’s Board of Trustees approved a proposal that, if approved by Shareholders and if other customary closing conditions are met, would result in the reorganization of NEV into Nuveen Municipal Credit Income Fund (NZF). More details about the Fund’s Reorganization is available on www.nuveen.com/cef.

5

Portfolio Managers’ Comments

Nuveen Municipal Value Fund, Inc. (NUV)

Nuveen AMT-Free Municipal Value Fund (NUW)

Nuveen Municipal Income Fund, Inc. (NMI)

Nuveen Enhanced Municipal Value Fund (NEV)

These Funds feature portfolio management by Nuveen Asset Management, LLC (NAM), an affiliate of Nuveen Fund Advisors, LLC, the Funds’ investment adviser. Daniel J. Close, CFA, Christopher L. Drahn, CFA, and Steven M. Hlavin serve as portfolio managers of these four national Funds. Dan has managed NUV and NUW since 2016. Chris assumed portfolio management responsibility for NMI in 2011. Steve has been involved in the management of NEV since its inception in 2009, taking on full portfolio management responsibility in 2010.

Here the portfolio management teams discuss U.S. economic and municipal market conditions, key investment strategies and the Funds’ performance for the twelve-month reporting period ended October 31, 2021. For more information on the Funds’ investment objectives and policies, please refer to the Shareholder Update section at the end of the report.

What factors affected the U.S. economy and financial markets during the twelve-month reporting period ended October 31, 2021?

Supported by massive fiscal and monetary stimulus and economic reopening, the U.S. economy rebounded more quickly than expected from the deep downturn caused by the COVID-19 crisis and containment measures. The federal government’s relief measures have totaled approximately $5.3 trillion across six aid packages, which included direct payments to individuals and families, expanded unemployment insurance, loans to large and small businesses, funding for hospitals and health agencies, state and local governments, education and public health/vaccinations. Additionally, while not technically a pandemic spending measure, the $1.2 trillion Infrastructure Investment and Jobs Act that funds improvements to roads/bridges, broadband internet, airports and ports, and water and power systems was signed into law after the close of this reporting period on November 15, 2021. The U.S. Federal Reserve (Fed) has maintained short-term interest rates near zero and enacted credit facilities to help keep the financial system stable, lowering borrowing costs for businesses and individuals.

This material is not intended to be a recommendation or investment advice, does not constitute a solicitation to buy, sell or hold a security or an investment strategy and is not provided in a fiduciary capacity. The information provided does not take into account the specific objectives or circumstances of any particular investor, or suggest any specific course of action. Investment decisions should be made based on an investor’s objectives and circumstances and in consultation with his or her advisors.

Certain statements in this report are forward-looking statements. Discussions of specific investments are for illustration only and are not intended as recommendations of individual investments. The forward-looking statements and other views expressed herein are those of the portfolio managers as of the date of this report. Actual future results or occurrences may differ significantly from those anticipated in any forward-looking statements, and the views expressed herein are subject to change at any time, due to numerous market and other factors. The Funds disclaim any obligation to update publicly or revise any forward-looking statements or views expressed herein.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor’s Group (S&P), Moody’s Investors Service, Inc. (Moody’s) or Fitch, Inc. (Fitch). This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings, while BB, B, CCC, CC, C and D are below investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

Bond insurance guarantees only the payment of principal and interest on the bond when due, and not the value of the bonds themselves, which will fluctuate with the bond market and the financial success of the issuer and the insurer. Insurance relates specifically to the bonds in the portfolio and not to the share prices of a Fund. No representation is made as to the insurers’ ability to meet their commitments.

Refer to the Glossary of Terms Used in this Report for further definition of the terms used within this section.

6

By the start of this reporting period, markets had largely stabilized from the initial shock of the health crisis. To recap, in March 2020, equity and commodity markets sold off and safe-haven assets rallied as countries initiated quarantines, restricted travel and shuttered factories and businesses, while an ill-timed oil price war between the Organization of the Petroleum Exporting Countries (OPEC) and non-OPEC member Russia further amplified oil price volatility. In late 2020, the announcement of high efficacy rates in several COVID 19 vaccine trials, followed by regulatory authorizations and public vaccination drives across Western countries, improved the outlook for 2021, which contributed to risk-on sentiment in the markets. The positive sentiment was realized during the first half of 2021 as U.S. gross domestic product (GDP) expanded at an annualized rate of 6.3% in the first quarter of 2021 and 6.7% in the second quarter of 2021. However, economic growth slowed considerably in the third quarter of 2021 to a 2.1% annualized rate, dampened by the spread of the COVID-19 delta variant and constricted supply chains, according to the “second” estimate released by the Bureau of Economic Analysis.

Although supply bottlenecks, labor shortages and higher inflation have weighed on economic growth in the short term, consumer demand remains strong. Given the U.S. economy’s progress, the Fed began signaling a timeline for tapering pandemic monetary support by reducing its monthly bond purchases (which was initially announced at the November 2021 policy meeting, after the close of this reporting period), as well as suggested interest rate normalization that could start later in 2022. In addition to monetary policy tightening, markets remained concerned about the political gridlock over raising the debt ceiling – the amount the U.S. government is allowed to borrow. (After the close of this reporting period, the government approved a $2.5 trillion increase to the debt limit, averting a default at the end of 2021.)

Although U.S. Treasury yields moved higher in the twelve-month reporting period, most notably in 10-year maturities, municipal yields at the long end of the yield curve were broadly unchanged. While a rising rate environment would typically signal a more challenging environment for municipal bonds, the improving fundamental credit backdrop and favorable supply-demand dynamics helped the municipal market stay resilient. Economic reopening and vaccine distribution bolstered investor confidence while the revenue recovery for many municipal issuers was V-shaped and strong. Additionally, the American Rescue Plan Act signed into law in March 2021 provided federal aid to the already improving financial positions of state and local governments. Credit ratings agencies upgraded their outlooks for most municipal sectors from negative to stable, and individual credit upgrades exceeded downgrades by a 2-to-1 margin in this reporting period. Overall, default risk stayed notably moderate. Supply issuance in 2021 year-to-date remained on pace with 2020’s record volume, with a significant, albeit moderating, proportion of issuance in taxable municipals and refunding deals. Demand also stayed strong, with consistently positive inflows that further supported credit spread narrowing and municipal bond performance.

Municipal bonds generally performed well in the twelve-month reporting period. Municipal yields increased across the short to intermediate maturity range while remaining nearly unchanged at the long end, leading to the outperformance of longer maturity municipal bonds. Credit spreads tightened significantly as the economic recovery progressed and demand remained strong for credits offering higher yields.

7

Portfolio Managers’ Comments (continued)

What key strategies were used to manage the Funds during the twelve-month reporting period ended October 31, 2021, and how did these strategies influence performance?

Each Fund’s investment objective is to provide current income exempt from regular federal income tax. Each Fund invests primarily in a portfolio of municipal obligations issued by state and local government authorities or certain U.S. territories.

NUV traded actively during the reporting period, adding bonds across a diverse group of sectors, primarily coupon structures with longer maturities, and focused on intermediate credit quality (BBB, A and low AA rated) paper. NUV tended to buy more new issues than secondary market offerings, as a result of attractive availability and the relative value on offer in the new issue market. Most of the purchases were funded with the proceeds from maturing and called bonds, although the portfolio management team sold some lower book yield positions at a loss to reinvest in more attractive, higher book yield opportunities. Portfolio management implemented this approach to enhance the Fund’s income earning capability and seek to make the Fund more tax efficient.

NUW’s additions focused on intermediate credit quality during the reporting period. Most of the new purchases were financed with cash from called and maturing bonds. NUW did not have any material sales, but sold some pre-refunded bonds to fund new purchases and did some tax loss swaps when the prevailing environment was favorable.

NMI’s credit weightings did not change significantly in the first half of the reporting period. However, over the second half of the reporting period, NMI added marginally to the AA category. The activity resulted in a slight paring back of other investment grade rating categories, although the adjustment was the result of security specific opportunities.

NEV’s trading activity was relatively light during the reporting period. The Fund reinvested the income from bond calls and maturities into positions in the transportation and health care sectors, along with a refunding deal for a Queens, New York ballpark and a Richmond, Virginia public utility. The Fund took advantage of some tax loss swapping opportunities when they became available. There were no meaningful sales in NEV.

As of October 31, 2021, NUV, NUW and NEV continued to use inverse floating rate securities. The Funds employ inverse floaters for a variety of reasons, including duration management, income enhancement and total return enhancement.

How did the Funds perform during the twelve-month reporting period ended October 31, 2021?

For the twelve months ended October 31, 2021, the Funds outperformed the S&P Municipal Bond Index. For the purposes of this Performance Commentary, references to relative performance are in comparison to the S&P Municipal Bond Index.

During the reporting period, longer maturity ranges consistently outperformed shorter ranges. The overweight allocations to longer duration bonds in the portfolios of NUV, NUW and NEV were the primary drivers of the positive benchmark-relative performance. For NEV’s portfolio, duration and yield curve positioning was not a material factor affecting performance for the reporting period. All four of the portfolios were well positioned from a credit quality standpoint, with overweights to lower rated investment grade and high yield credits, which generally outperformed.

8

Individual credit selection was an additional positive driver of relative performance for the portfolios. A top contributor across all four of the portfolios was their respective positions in Metropolitan Pier and Exposition Authority McCormick Place in Chicago, which was supported by the economic reopening, credit outlook upgrades and improved investor confidence. In NMI and NEV, each portfolio’s position in Brightline Trains was a leading contributor. Brightline’s prospects continued to improve with the ongoing construction of its Orlando route and planned extension to Disney World, new contracts for commuter rail in Miami-Dade and Broward Counties, and the full-service reopening of its Miami, Fort Lauderdale and West Palm Beach stations in early November 2021 (after the close of this reporting period). An additional top contributor for NEV’s portfolio was Energy Harbor common stock, which was acquired during a restructuring. The stock price appreciated on several tailwinds, namely, strong demand for energy generation as the economy reopened, rising electricity prices, and U.S. and global governments’ focus on low carbon energy sources like nuclear power, as well as the company’s increasing distance from the bankruptcy of its parent company.

Partially offsetting the outperformance of the portfolios of NUV, NUW and NEV were bonds bought in late summer when interest rates were at cyclical lows, as well as short-dated highly rated names. Larger detractors in NEV’s portfolio included single-family housing bonds, which underperformed as the low interest rate environment accelerated mortgage prepayments. Despite the underperformance, the investment team remains constructive on the sector and continued to hold the bonds at the end of the reporting period.

9

Fund Leverage

IMPACT OF THE FUNDS’ LEVERAGE STRATEGIES ON PERFORMANCE

One important factor impacting the returns of NEV’s common shares relative to its comparative benchmark was the Fund’s use of leverage. The Fund obtains leverage through investments in inverse floating rate securities, which represent a leveraged investment in an underlying bond. This was also a factor, although less significantly, for NUV and NUW because their use of leverage is more modest. NMI did not invest in inverse floating rate securities during the reporting period.

The Funds use leverage because our research has shown that, over time, leveraging provides opportunities for additional income. The opportunity arises when short-term rates that a Fund pays on its leveraging instruments are lower than the interest the Fund earns on its portfolio of long-term bonds that it has bought with the proceeds of that leverage. This has been particularly true in the recent market environment where short-term rates have been low by historical standards.

However, use of leverage can expose Fund common shares to additional price volatility. When a Fund uses leverage, the Fund’s common shares will experience a greater increase in their net asset value if the municipal bonds acquired through the use of leverage increase in value, but will also experience a correspondingly larger decline in their net asset value if the bonds acquired through leverage decline in value. All this will make the shares’ total return performance more variable over time.

In addition, common share income in levered funds will typically decrease in comparison to unlevered funds when short-term interest rates increase and increase when short-term interest rates decrease. In recent quarters, fund leverage expenses have generally tracked the overall movement of short-term tax-exempt interest rates. While fund leverage expenses are somewhat higher than their recent lows, leverage nevertheless continues to provide the opportunity for incremental common share income, particularly over longer-term periods.

Leverage had a negligible impact on the performance of NUV, NUW and NEV over the reporting period.

As of October 31, 2021, the Funds’ percentages of leverage are as shown in the accompanying table.

10

Each Fund seeks to pay regular monthly dividends out of its net investment income at a rate that reflects its past and projected net income performance. To permit each Fund to maintain a more stable monthly dividend, the Fund may pay dividends at a rate that may be more or less than the amount of net income actually earned by the Fund during the period. Distributions to common shareholders are determined on a tax basis, which may differ from amounts recorded in the accounting records. In instances where the monthly dividend exceeds the earned net investment income, the Fund would report a negative undistributed net ordinary income. Refer to Note 6 – Income Tax Information for additional information regarding the amounts of undistributed net ordinary income and undistributed net long-term capital gains and the character of the actual distributions paid by the Fund during the period.

All monthly dividends paid by each Fund during the current reporting period were paid from net investment income. If a portion of the Fund’s monthly distributions is sourced or comprised of elements other than net investment income, including capital gains and/or a return of capital, common shareholders will be notified of those sources. For financial reporting purposes, the per share amounts of each Fund’s distributions for the reporting period are presented in this report’s Financial Highlights. For income tax purposes, distribution information for each Fund as of its most recent tax year end is presented in Note 6 – Income Tax Information within the Notes to Financial Statements of this report.

11

Common Share Information (continued)

NUVEEN CLOSED-END FUND DISTRIBUTION AMOUNTS

The Nuveen Closed-End Funds’ monthly and quarterly periodic distributions to shareholders are posted on www.nuveen.com and can be found on Nuveen’s enhanced closed-end fund resource page, which is at https://www.nuveen.com/resource-center-closedendfunds, along with other Nuveen closed-end fund product updates. To ensure timely access to the latest information, shareholders may use a subscribe function, which can be activated at this web page (https://www.nuveen.com/subscriptions).

COMMON SHARE EQUITY SHELF PROGRAM

During the current reporting period, NUW and NMI were authorized by the Securities and Exchange Commission to issue additional common shares through an equity shelf program (Shelf Offering). Under these programs, NUW and NMI, subject to market conditions, may raise additional capital from time to time in varying amounts and offering methods at a net price at or above each Fund’s NAV per common share. The total amount of common shares authorized under these Shelf Offerings are shown in the accompanying table.

During the current reporting period, NMI sold common shares through its Shelf Offering at a weighted average premium to the NAV per common share as shown in the accompanying table.

Refer to the Notes to Financial Statements, Note 5 – Fund Shares for further details on Shelf Offerings and each Fund’s transactions.

During the current reporting period, the Funds did not repurchase any of their outstanding common shares.

12

Refer to the Glossary of Terms Used in this Report for further definition of the terms used within this section.

Past performance is not predictive of future results. Current performance may be higher or lower than the data shown. Returns do not reflect the deduction of taxes that shareholders may have to pay on Fund distributions or upon the sale of Fund shares. Returns at NAV are net of Fund expenses, and assume reinvestment of distributions. Comparative index return information is provided for the Fund’s shares at NAV only. Indexes are not available for direct investment.

Daily Common Share NAV and Share Price

Growth of an Assumed $10,000 Investment as of October 31, 2021 — Common Share Price

13

This data relates to the securities held in the Fund’s portfolio of investments as of the end of the reporting period. It should not be construed as a measure of performance for the Fund itself. Holdings are subject to change.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor’s Group, Moody’s Investors Service, Inc. or Fitch, Inc. This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings; BB, B, CCC, CC, C and D are below-investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

¹ See Portfolio of Investments for details on “other” States and Territories.

14

Refer to the Glossary of Terms Used in this Report for further definition of the terms used within this section.

Past performance is not predictive of future results. Current performance may be higher or lower than the data shown. Returns do not reflect the deduction of taxes that shareholders may have to pay on Fund distributions or upon the sale of Fund shares. Returns at NAV are net of Fund expenses, and assume reinvestment of distributions. Comparative index return information is provided for the Fund’s shares at NAV only. Indexes are not available for direct investment.

Daily Common Share NAV and Share Price

Growth of an Assumed $10,000 Investment as of October 31, 2021 — Common Share Price

15

This data relates to the securities held in the Fund’s portfolio of investments as of the end of the reporting period. It should not be construed as a measure of performance for the Fund itself. Holdings are subject to change.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor’s Group, Moody’s Investors Service, Inc. or Fitch, Inc. This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings; BB, B, CCC, CC, C and D are below-investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

¹ See Portfolio of Investments for details on “other” States and Territories.

16

Refer to the Glossary of Terms Used in this Report for further definition of the terms used within this section.

Past performance is not predictive of future results. Current performance may be higher or lower than the data shown. Returns do not reflect the deduction of taxes that shareholders may have to pay on Fund distributions or upon the sale of Fund shares. Returns at NAV are net of Fund expenses, and assume reinvestment of distributions. Comparative index return information is provided for the Fund’s shares at NAV only. Indexes are not available for direct investment.

Daily Common Share NAV and Share Price

Growth of an Assumed $10,000 Investment as of October 31, 2021 — Common Share Price

17

This data relates to the securities held in the Fund’s portfolio of investments as of the end of the reporting period. It should not be construed as a measure of performance for the Fund itself. Holdings are subject to change.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor’s Group, Moody’s Investors Service, Inc. or Fitch, Inc. This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings; BB, B, CCC, CC, C and D are below-investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

¹ See Portfolio of Investments for details on “other” States and Territories.

18

Refer to the Glossary of Terms Used in this Report for further definition of the terms used within this section.

Average Annual Total Returns as of October 31, 2021

Past performance is not predictive of future results. Current performance may be higher or lower than the data shown. Returns do not reflect the deduction of taxes that shareholders may have to pay on Fund distributions or upon the sale of Fund shares. Returns at NAV are net of Fund expenses, and assume reinvestment of distributions. Comparative index return information is provided for the Fund’s shares at NAV only. Indexes are not available for direct investment.

Daily Common Share NAV and Share Price

Growth of an Assumed $10,000 Investment as of October 31, 2021 — Common Share Price

19

This data relates to the securities held in the Fund’s portfolio of investments as of the end of the reporting period. It should not be construed as a measure of performance for the Fund itself. Holdings are subject to change.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor’s Group, Moody’s Investors Service, Inc. or Fitch, Inc. This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings; BB, B, CCC, CC, C and D are below-investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

¹ See Portfolio of Investments for details on “other” States and Territories.

20