NUVEEN TAX FREE TRUST SERIES 876
497, 1996-07-15
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<PAGE>
                                                                          NUVEEN
   
NUVEEN FLORIDA
INSURED UNIT TRUST 231                                                       876
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
ESTIMATED CURRENT RETURN:                           For the tax-sensitive, conservative investor.
5.25 - 5.46%                                        - Tax-Free
ESTIMATED LONG-TERM RETURN:                         - Dependable Income
5.34 - 5.63%                                        - Diversified Portfolios
DATE OF DEPOSIT: July 15, 1996                      - Top-Rated Municipal Bonds
</TABLE>
    
 
UNITS OF THE TRUST ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED OR ENDORSED
BY, ANY BANK AND ARE NOT FEDERALLY INSURED OR OTHERWISE PROTECTED BY THE FDIC OR
ANY OTHER FEDERAL AGENCY AND INVOLVE INVESTMENT RISK, INCLUDING THE POSSIBLE
LOSS OF PRINCIPAL.
 
- --------------------------------------------------------------------------------
 
QUICK FACTS ABOUT THIS UNIT TRUST
 
<TABLE>
<S>             <C>
Tax Status      Income is exempt from federal income tax. Capital
                gains are taxable.
Total Principal $3,500,000 in 35,000 units
Average Life    25.8 years
Call Protection Earliest ordinary optional call is 2004
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $98.50 to $95.58 depending on the purchase amount
Cusip           6706H4 737 monthly payment plan
Numbers         6706H4 745 quarterly payment plan
                6706H4 752 semi-annual payment plan
Insurance       Individual bonds (not units) are fully insured by
                MBIA Insurance Corporation, which guarantees
                timely payment of interest and principal.
Registration    Registered in Florida
</TABLE>
 
<TABLE>
<S>             <C>
Payment         Investors may choose to receive monthly, quarterly
Plans           or semi-annual interest payments.
Bond Calls      Most municipal bonds are subject to optional bond
                calls. Bonds are usually called at a premium price
                and generally not below par value.
Sales Charge    The sales charge is a one-time expense included in
                the Public Offering Price.
Letter          Investors may use a Letter of Intent to get
of Intent       reduced sales charges on purchases made over a
(LOI)           13-month period (and to take advantage of dollar
                cost averaging). Minimum LOI investment $50,000.
Redemptions     Units can be redeemed on any business day at no
                charge. Units are redeemed at their current market
                value.
Reinvestment    Interest income and returned principal can be
                reinvested with no sales charge into Nuveen tax-
                free mutual or money market funds. For more
                information obtain a prospectus.
</TABLE>
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                          <C>
MATURITY DATES (Description of Chart)
2016-18                                            14.3%
2019-21                                            28.6%
2022-24                                            28.6%
2025+                                              28.5%
The earliest ordinary optional call date is 2004
 
YIELD COMPARISON AS OF 07/12/96*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Pre-Tax                                       8.20%
     Tax Equivalent Yield                          5.25%
 
Treasury Bonds
     Pre-Tax
     Tax Equivalent Yield                          7.03%
 
Corporate Bonds
     Yield                   7.79%
</TABLE>
 
<PAGE>
 *COMPARES TRUST WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS INVESTMENT
  GRADE LONG CORPORATE BOND INDEX. ASSUMES 36.0% FEDERAL INCOME TAX RATE.
  TREASURY BONDS ARE SUBJECT TO FEDERAL BUT NOT STATE INCOME TAXES; CORPORATE
  BONDS ARE GENERALLY SUBJECT TO BOTH. TREASURY BONDS, UNLIKE MUNICIPAL BONDS,
  ARE GUARANTEED BY THE U.S. GOVERNMENT. THE LEHMAN BROTHERS INVESTMENT GRADE
  LONG CORPORATE BOND INDEX IS CALCULATED AS OF 6/30/96.
 
CALL 1.800.257.8787 FOR A PROSPECTUS CONTAINING MORE COMPLETE INFORMATION
INCLUDING CHARGES AND EXPENSES.
READ THE PROSPECTUS CAREFULLY BEFORE INVESTING.
<PAGE>
- --------------------------------------------------------------------------------
 
 BONDS THIS FLORIDA INSURED UNIT TRUST CONTAINS
 
<TABLE>
<CAPTION>
                                                                                                        RATINGS
  PRINCIPAL                                                                              EARLIEST CALL ----------
    AMOUNT    BOND ISSUE                                                                 DATE AND PRICE S&P MOODY'S
 <C>        <S>                                                                          <C>           <C><C>
 ----------------------------------------------------------------------------------------------------------------
 $   500,000  State of Florida, Full Faith and Credit, State Board of Education, Public   2005 at 101  AAA   Aaa
              Education Capital Outlay Bonds, 1994 Series B, 5.875% Due 6/1/24. (General
              Obligation Bonds.)
     500,000  Dade County, Florida, Aviation Revenue Bonds, Series 1995C, 5.75% Due       2005 at 102  AAA   Aaa
              10/1/25.
     500,000  Dade County, Florida, Seaport General Obligation Refunding Bonds, Series    2006 at 102  AAA   Aaa
              1996 (General Obligation Bonds.), 5.125% Due 10/1/16.
     500,000  The School Board of Escambia County, Florida, Certificates of               2006 at 102  AAA   Aaa
              Participation, Series 1996-2, 5.50% Due 2/1/22. (Original issue discount
              bonds delivered on or about April 25, 1996 at a price of 94.25% of
              principal amount.)
     500,000  Orlando Utilities Commission (Florida), Water and Electric Subordinated     2004 at 101  AAA   Aaa
              Revenue Refunding Bonds, Series 1994A, 5.00% Due 10/1/20.
     500,000  South Broward Hospital District (Florida), Hospital Refunding Revenue       2006 at 102  AAA   Aaa
              Bonds, Series 1996, 5.25% Due 5/1/21.
     500,000  Commonwealth of Puerto Rico, Public Improvement Bonds of 1996 (General      2006 at 101  AAA   Aaa
              Obligation Bonds.), 5.40% Due 7/1/25.                                           1/2
 ----------------------------------------------------------------------------------------------------------------
 $ 3,500,000  TOTAL            7 BONDS
</TABLE>
 
- --------------------------------------------------------------------------------
 
HOW TO DETERMINE YOUR INCOME AND YIELD
 
HOW TO CALCULATE YOUR RETURN
 
<TABLE>
<S>                                                    <C>
The estimated current return is the net income         the sales charge, and returns are as of 07/12/96.
divided by the offering price. Estimated long-term     As of this date, Units are offered at the public
return is a measure of the return to the investor      offering price plus accrued interest to the
expected to be earned over the estimated life of       settlement date of $.04. Returns and prices will
the Unit Trust. The public offering prices, which      fluctuate.
include
</TABLE>
 
<TABLE>
<CAPTION>
                          Public                       Estimated Return (CURRENT/Long Term)
 Breakpoints             Offering     Sales      -------------------------------------------------
 Units / Dollars           Price      Charge      Monthly Plan   Quarterly Plan  Semi-Annual Plan
 <S>                   <C>            <C>        <C>     <C>     <C>     <C>     <C>     <C>   <C>  <C>
 50 / $5,000           $     98.50     4.90 %      5.25%   5.34%   5.28%   5.38%   5.30%   5.40 %
 500 / $50,000               98.34     4.75        5.26    5.35    5.29    5.39    5.31    5.41
 1,000 / $100,000            98.08     4.50        5.27    5.38    5.30    5.42    5.32    5.44
 2,500 / $250,000            97.83     4.25        5.29    5.39    5.32    5.43    5.34    5.45
 5,000 / $500,000            97.07     3.50        5.33    5.45    5.36    5.49    5.38    5.51
 10,000 / $1,000,000         96.57     3.00        5.35    5.49    5.39    5.53    5.41    5.55
 25,000 / $2,500,000         96.07     2.50        5.38    5.53    5.42    5.57    5.44    5.59
 50,000 / $5,000,000         95.58     2.00        5.41    5.57    5.44    5.61    5.46    5.63
</TABLE>
 
HOW TO DETERMINE YOUR
TAXABLE EQUIVALENT YIELD
 
The table shows the approximate yield an investor must get from a taxable
investment to match the estimated current return from this Unit Trust.
 
<TABLE>
<CAPTION>
                 Taxable Equivalent Yield (by tax
   UNIT TRUST                bracket)
     RETURN      28.0%   31.0%   36.0%      39.6%
 <C>             <S>     <C>     <C>     <C>       <C>
         5.25  % 7.29%   7.61%   8.20%      8.69 %
         5.26    7.31    7.62    8.22       8.71
         5.27    7.32    7.64    8.23       8.73
         5.29    7.35    7.67    8.27       8.76
         5.33    7.40    7.72    8.33       8.82
         5.35    7.43    7.75    8.36       8.86
         5.38    7.47    7.80    8.41       8.91
         5.41    7.51    7.84    8.45       8.96
</TABLE>
 
JOHN NUVEEN & CO. INCORPORATED
333 WEST WACKER DRIVE, CHICAGO, IL 60606
HOW TO CALCULATE YOUR INCOME
The table shows expected interest payments for monthly, quarterly and
semi-annual plans. Payments will remain relatively constant as long as the Unit
Trust's size, composition and expenses remain the same. The first record date is
08/01/96.
 
<TABLE>
<CAPTION>
                                                 Annual
                    First Payment   Payment      Income
 Payment Plan           Date       (per unit)  (per unit)
 <S>                <C>            <C>         <C>         <C>
 Initial partial
  payment (all
  plans)                 8/15/96   $   .2297
 Monthly plan            9/15/96       .4308   $ 5.1705
 Quarterly plan         11/15/96      1.3005
                         2/15/97      1.3005     5.2025
 Semi-annual plan       11/15/96      1.3050
                         5/15/97      2.6100     5.2215
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 98.54 =   101.481
 investment       offering price     # of units
 (as of           and accrued        purchased
 07/12/96)        interest
 101.481      X   $5.1705        =   $524.71
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>
<PAGE>
                                                                          NUVEEN
   
NUVEEN NEW YORK
INSURED UNIT TRUST 254                                                       876
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
ESTIMATED CURRENT RETURN:                           For the tax-sensitive, conservative investor.
5.35 - 5.56%                                        - Double Tax-Free
ESTIMATED LONG-TERM RETURN:                         - Dependable Income
5.40 - 5.67%                                        - Diversified Portfolios
DATE OF DEPOSIT: July 15, 1996                      - Top-Rated Municipal Bonds
</TABLE>
    
 
UNITS OF THE TRUST ARE NOT DEPOSITS OR OBLIGATIONS OF, OR GUARANTEED OR ENDORSED
BY, ANY BANK AND ARE NOT FEDERALLY INSURED OR OTHERWISE PROTECTED BY THE FDIC OR
ANY OTHER FEDERAL AGENCY AND INVOLVE INVESTMENT RISK, INCLUDING THE POSSIBLE
LOSS OF PRINCIPAL.
 
- --------------------------------------------------------------------------------
 
QUICK FACTS ABOUT THIS UNIT TRUST
 
<TABLE>
<S>             <C>
Tax Status      Income is exempt from federal and state income
                taxes. Capital gains are taxable.
Total Principal $3,500,000 in 35,000 units
Average Life    27.3 years
Call Protection Earliest ordinary optional call is 2005
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $100.25 to $97.29 depending on the purchase amount
Cusip           67102K 135 monthly payment plan
Numbers         67102K 143 quarterly payment plan
                67102K 150 semi-annual payment plan
Insurance       Individual bonds (not units) are fully insured by
                MBIA Insurance Corporation, which guarantees
                timely payment of interest and principal.
Registration    Registered in New York
</TABLE>
 
<TABLE>
<S>             <C>
Payment         Investors may choose to receive monthly, quarterly
Plans           or semi-annual interest payments.
Bond Calls      Most municipal bonds are subject to optional bond
                calls. Bonds are usually called at a premium price
                and generally not below par value.
Sales Charge    The sales charge is a one-time expense included in
                the Public Offering Price.
Letter          Investors may use a Letter of Intent to get
of Intent       reduced sales charges on purchases made over a
(LOI)           13-month period (and to take advantage of dollar
                cost averaging). Minimum LOI investment $50,000.
Redemptions     Units can be redeemed on any business day at no
                charge. Units are redeemed at their current market
                value.
Reinvestment    Interest income and returned principal can be
                reinvested with no sales charge into Nuveen tax-
                free mutual or money market funds. For more
                information obtain a prospectus.
</TABLE>
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>                          <C>
MATURITY DATES (Description of Chart)
2016-19                                            14.3%
2020-23                                            28.6%
2024-27                                            42.8%
2028+                                              14.3%
The earliest ordinary optional call date is 2005
 
YIELD COMPARISON AS OF 07/12/96*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Pre-Tax                                       8.99%
     Tax Equivalent Yield                          5.35%
 
Treasury Bonds
     Pre-Tax                                       7.57%
     Tax Equivalent Yield                          7.03%
 
Corporate Bonds
     Yield                   7.79%
</TABLE>
 
<PAGE>
 *COMPARES TRUST WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS INVESTMENT
  GRADE LONG CORPORATE BOND INDEX. ASSUMES 40.5% FEDERAL AND STATE INCOME TAX
  RATE AND A 7.125% STATE INCOME TAX RATE. TREASURY BONDS ARE SUBJECT TO FEDERAL
  BUT NOT STATE INCOME TAXES; CORPORATE BONDS ARE GENERALLY SUBJECT TO BOTH.
  TREASURY BONDS, UNLIKE MUNICIPAL BONDS, ARE GUARANTEED BY THE U.S. GOVERNMENT.
  THE LEHMAN BROTHERS INVESTMENT GRADE LONG CORPORATE BOND INDEX IS CALCULATED
  AS OF 6/30/96.
 
CALL 1.800.257.8787 FOR A PROSPECTUS CONTAINING MORE COMPLETE INFORMATION
INCLUDING CHARGES AND EXPENSES.
READ THE PROSPECTUS CAREFULLY BEFORE INVESTING.
<PAGE>
- --------------------------------------------------------------------------------
 
 BONDS THIS NEW YORK INSURED UNIT TRUST CONTAINS
 
<TABLE>
<CAPTION>
                                                                                                        RATINGS
  PRINCIPAL                                                                              EARLIEST CALL ----------
    AMOUNT    BOND ISSUE                                                                 DATE AND PRICE S&P MOODY'S
 <C>        <S>                                                                          <C>           <C><C>
 ----------------------------------------------------------------------------------------------------------------
 $   500,000  The Port Authority of New York and New Jersey, Consolidated Bonds, One      2005 at 101  AAA   Aaa
              Hundredth Series, 5.75% Due 6/15/30.
     500,000  Dormitory Authority of the State of New York, Mental Health Services        2006 at 102  AAA   Aaa
              Facilities Improvement Revenue Bonds, Series 1996C, 5.25% Due 8/15/16.
              (General Obligation Bonds.)
     500,000  New York State Energy Research and Development Authority, Gas Facilities    2006 at 102  AAA   Aaa
              Revenue Bonds, 1996 Series (The Brooklyn Union Gas Company Project), 5.50%
              Due 1/1/21.
     500,000  New York State Energy Research and Development Authority, Facilities        2005 at 102  AAA   Aaa
              Refunding Revenue Bonds, Series 1995 A (Consolidated Edison Company of New
              York, Inc. Project), 6.10% Due 8/15/20.
     500,000  The City of New York (New York), General Obligation Bonds, Fiscal 1996      2006 at 101  AAA   Aaa
              Series J, 5.50% Due 2/15/26. (Original issue discount bonds delivered on or      1/2
              about March 21, 1996 at a price of 90.773% of principal amount.)
     500,000  New York City (New York), Municipal Water Finance Authority, Water and      2006 at 101  AAA   Aaa
              Sewer System Revenue Bonds, Fiscal 1996 Series B, 5.75% Due 6/15/26.
              (Original issue discount bonds delivered on or about May 16, 1996 at a
              price of 93.892% of principal amount.)
     500,000  Commonwealth of Puerto Rico, Public Improvement Bonds of 1996 (General      2006 at 101  AAA   Aaa
              Obligation Bonds.), 5.40% Due 7/1/25.                                           1/2
 ----------------------------------------------------------------------------------------------------------------
 $ 3,500,000  TOTAL            7 BONDS
</TABLE>
 
- --------------------------------------------------------------------------------
 
HOW TO DETERMINE YOUR INCOME AND YIELD
 
HOW TO CALCULATE YOUR RETURN
 
<TABLE>
<S>                                                    <C>
The estimated current return is the net income         the sales charge, and returns are as of 07/12/96.
divided by the offering price. Estimated long-term     As of this date, Units are offered at the public
return is a measure of the return to the investor      offering price plus accrued interest to the
expected to be earned over the estimated life of       settlement date of $.04. Returns and prices will
the Unit Trust. The public offering prices, which      fluctuate.
include
</TABLE>
 
<TABLE>
<CAPTION>
                          Public                       Estimated Return (CURRENT/Long Term)
 Breakpoints             Offering     Sales      -------------------------------------------------
 Units / Dollars           Price      Charge      Monthly Plan   Quarterly Plan  Semi-Annual Plan
 <S>                   <C>            <C>        <C>     <C>     <C>     <C>     <C>     <C>   <C>  <C>
 50 / $5,000           $    100.25     4.90 %      5.35%   5.40%   5.38%   5.43%   5.40%   5.45 %
 500 / $50,000              100.09     4.75        5.36    5.41    5.39    5.44    5.41    5.46
 1,000 / $100,000            99.83     4.50        5.37    5.43    5.40    5.46    5.42    5.48
 2,500 / $250,000            99.57     4.25        5.38    5.45    5.42    5.48    5.44    5.50
 5,000 / $500,000            98.80     3.50        5.43    5.51    5.46    5.54    5.48    5.56
 10,000 / $1,000,000         98.29     3.00        5.45    5.55    5.49    5.58    5.51    5.60
 25,000 / $2,500,000         97.78     2.50        5.48    5.58    5.52    5.61    5.54    5.63
 50,000 / $5,000,000         97.29     2.00        5.51    5.62    5.54    5.65    5.56    5.67
</TABLE>
 
HOW TO DETERMINE YOUR
TAXABLE EQUIVALENT YIELD
 
The table shows the approximate yield an investor must get from a taxable
investment to match the estimated current return from this Unit Trust.
 
<TABLE>
<CAPTION>
                 Taxable Equivalent Yield (by tax
   UNIT TRUST                bracket)
     RETURN      33.0%   36.0%   40.5%      44.0%
 <C>             <S>     <C>     <C>     <C>       <C>
         5.35  % 7.99%   8.36%   8.99%      9.55 %
         5.36    8.00    8.38    9.01       9.57
         5.37    8.01    8.39    9.03       9.59
         5.38    8.03    8.41    9.04       9.61
         5.43    8.10    8.48    9.13       9.70
         5.45    8.13    8.52    9.16       9.73
         5.48    8.18    8.56    9.21       9.79
         5.51    8.22    8.61    9.26       9.84
</TABLE>
 
JOHN NUVEEN & CO. INCORPORATED
333 WEST WACKER DRIVE, CHICAGO, IL 60606
HOW TO CALCULATE YOUR INCOME
The table shows expected interest payments for monthly, quarterly and
semi-annual plans. Payments will remain relatively constant as long as the Unit
Trust's size, composition and expenses remain the same. The first record date is
08/01/96.
 
<TABLE>
<CAPTION>
                                                 Annual
                    First Payment   Payment      Income
 Payment Plan           Date       (per unit)  (per unit)
 <S>                <C>            <C>         <C>         <C>
 Initial partial
  payment (all
  plans)                 8/15/96   $   .2382
 Monthly plan            9/15/96       .4467   $ 5.3614
 Quarterly plan         11/15/96      1.3482
                         2/15/97      1.3482     5.3934
 Semi-annual plan       11/15/96      1.3527
                         5/15/97      2.7054     5.4124
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 100.29 =  99.710
 investment       offering price     # of units
 (as of           and accrued        purchased
 07/12/96)        interest
 99.710       X   $5.3614        =   $534.59
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>


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