NUVEEN TAX FREE TRUST SERIES 878
497, 1996-07-19
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<PAGE>
                                                                          NUVEEN
   
NUVEEN NORTH CAROLINA
TRADITIONAL UNIT TRUST 299                                                   878
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
ESTIMATED CURRENT RETURN:                           NUVEEN TAX-FREE UNIT TRUSTS:
5.22 - 5.44%                                        For the tax-sensitive, conservative investor.
ESTIMATED LONG-TERM RETURN:                         - Double Tax-Free
5.31 - 5.60%                                        - Dependable Income
DATE OF DEPOSIT: July 19, 1996                      - Diversified Portfolios
                                                    - Investment Grade 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    23.5 years
Call Protection Earliest ordinary optional call is 2005
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $98.32 to $95.41 depending on the purchase amount
Cusip           6710A2 672 monthly payment plan
Numbers         6710A2 680 quarterly payment plan
                6710A2 698 semi-annual payment plan
Ratings of      As rated by Standard & Poor's, a division of The McGraw
Portfolio       Hill Companies
                or Moody's Investors Service, Inc.
                AAA               72%
                AA                14
                A1/A+             14
                                  ---------
                                  100%
Registration    Registered in North Carolina
</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)
2015-18                                            28.6%
2019-22                                            62.9%
2023-26                                             0.0%
2027+                                               8.6%
The earliest ordinary optional call date is 2005
 
YIELD COMPARISON AS OF 07/18/96*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Pre-Tax                                       8.85%
     Tax Equivalent Yield                          5.22%
 
Treasury Bonds
     Pre-Tax                                       7.50%
     Tax Equivalent Yield                          6.92%
 
Corporate Bonds
     Yield                   7.79%
</TABLE>
 
<PAGE>
 *COMPARES TRUST WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS INVESTMENT
  GRADE LONG CORPORATE BOND INDEX. ASSUMES 41.0% FEDERAL AND STATE INCOME TAX
  RATE AND A 7.75% 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 NORTH CAROLINA TRADITIONAL 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  North Carolina Medical Care Commission, Hospital Revenue Bonds (Gaston                   A+    A
              Memorial Hospital Project), Series 1995, 5.50% Due 2/15/15.                 2006 at 102
     500,000  North Carolina Municipal Power Agency Number 1, Catawba Electric Revenue                 AAA   Aaa
              Bonds, Series 1995A, 5.375% Due 1/1/20. (AMBAC Insured.)                    2006 at 102
     500,000  Board of Governors of The University of North Carolina, University of North              AA   Aa
              Carolina Hospitals at Chapel Hill, Revenue Bonds, Series 1996,
              200M-5.25% Due 2/15/19,                                                     2006 at 102
              300M-5.00% Due 2/15/29. (Original issue discount bonds delivered on or
              about March 20, 1996 at a price of 91.16% of principal amount.)             2006 at 101
     500,000  City of Concord, North Carolina, Utilities Systems Revenue Bonds, Series                 AAA   Aaa
              1995, 5.50% Due 12/1/19. (MBIA Insured.)                                    2005 at 102
     500,000  City of Fayetteville (North Carolina), Finance Corporation, Installment                  --   Aaa
              Payment Revenue Bonds (Municipal Building Projects), Series 1996, 5.625%
              Due 2/1/18. (When issued.) (MBIA Insured.)                                  2006 at 102
     500,000  County of Pasquotank, North Carolina, Certificates of Participation (1995                AAA   Aaa
              Elizabeth City-Pasquotank Public Schools Project), 5.00% Due 6/1/20.
              (Original issue discount bonds delivered on or about December 21, 1995 at a
              price of 93.624% of principal amount.)(MBIA Insured.)                       2006 at 102
     500,000  County of Union, North Carolina, Enterprise Systems Revenue Bonds, Series                AAA   Aaa
              1996, 5.50% Due 6/1/21. (MBIA Insured.)                                     2006 at 102
 ----------------------------------------------------------------------------------------------------------------
 $ 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 07/18/96.
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 $.07. 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           $     98.32     4.90 %      5.22%   5.31%   5.26%   5.35%   5.28%   5.37 %
 500 / $50,000               98.16     4.75        5.23    5.32    5.27    5.36    5.28    5.37
 1,000 / $100,000            97.91     4.50        5.25    5.34    5.28    5.38    5.30    5.40
 2,500 / $250,000            97.65     4.25        5.26    5.36    5.29    5.40    5.31    5.41
 5,000 / $500,000            96.89     3.50        5.30    5.42    5.33    5.46    5.35    5.48
 10,000 / $1,000,000         96.39     3.00        5.33    5.46    5.36    5.50    5.38    5.52
 25,000 / $2,500,000         95.90     2.50        5.36    5.50    5.39    5.54    5.41    5.56
 50,000 / $5,000,000         95.41     2.00        5.38    5.54    5.42    5.58    5.44    5.60
</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%   36.5%   41.0%      44.5%
 <C>             <S>     <C>     <C>     <C>       <C>
         5.22  % 7.79%   8.22%   8.85%      9.41 %
         5.23    7.81    8.24    8.86       9.42
         5.25    7.84    8.27    8.90       9.46
         5.26    7.85    8.28    8.92       9.48
         5.30    7.91    8.35    8.98       9.55
         5.33    7.96    8.39    9.03       9.60
         5.36    8.00    8.44    9.08       9.66
         5.38    8.03    8.47    9.12       9.69
</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
09/01/96.
 
<TABLE>
<CAPTION>
                                                 Annual
                    First Payment   Payment      Income
 Payment Plan           Date       (per unit)  (per unit)
 <S>                <C>            <C>         <C>         <C>
 Initial partial
  payment (all
  plans)                 9/15/96   $   .5989
 Monthly plan           10/15/96       .4278   $ 5.1364
 Quarterly plan         11/15/96       .8610
                         2/15/97      1.2915     5.1684
 Semi-annual plan       11/15/96       .8640
                         5/15/97      2.5920     5.1874
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 98.39 =   101.636
 investment       offering price     # of units
 (as of           and accrued        purchased
 07/18/96)        interest
 101.636      X   $5.1364        =   $522.04
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>
<PAGE>
                                                                          NUVEEN
   
NUVEEN ARIZONA
INSURED UNIT TRUST 47                                                        878
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
ESTIMATED CURRENT RETURN:                           For the tax-sensitive, conservative investor.
5.19 - 5.40%                                        - Double Tax-Free
ESTIMATED LONG-TERM RETURN:                         - Dependable Income
5.22 - 5.49%                                        - Diversified Portfolios
DATE OF DEPOSIT: July 19, 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    24.3 years
Call Protection Earliest ordinary optional call is 2004
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $100.88 to $97.90 depending on the purchase amount
Cusip           67101J 709 monthly payment plan
Numbers         67101J 717 quarterly payment plan
                67101J 725 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 Arizona
</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)
2013-15                                            37.1%
2016-18                                             5.7%
2019-21                                             0.0%
2022-24                                            14.3%
2025+                                              42.9%
The earliest ordinary optional call date is 2004
 
YIELD COMPARISON AS OF 07/18/96*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Pre-Tax                                       8.58%
     Tax Equivalent Yield                          5.19%
 
Treasury Bonds
     Pre-Tax                                       7.30%
     Tax Equivalent Yield                          6.92%
 
Corporate Bonds
</TABLE>
<PAGE>
<TABLE>
<S>                          <C>
     Yield                   7.79%
</TABLE>
 
 *COMPARES TRUST WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS INVESTMENT
  GRADE LONG CORPORATE BOND INDEX. ASSUMES 39.5% FEDERAL AND STATE INCOME TAX
  RATE AND A 5.20% 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 ARIZONA 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 Industrial Development Authority of The City of Glendale, Arizona,      2006 at 102  AAA   Aaa
              Revenue Bonds, Midwestern University, Series 1996A, 6.00% Due 5/15/26.
              (When issued.)
     500,000  Glendale Union High School District No. 205 of Maricopa County, Arizona,    2005 at 101  AAA   Aaa
              School Improvement Bonds (Projects of 1993), Series B (1995), 5.70% Due
              7/1/14. (General Obligation Bonds.)
     500,000  The Industrial Development Authority of the County of Maricopa, Arizona,    2005 at 101  AAA   Aaa
              Baptist Hospital System Revenue Refunding Bonds, Series 1995,
              300M-5.50% Due 9/1/13, (Original issue discount bonds delivered on or about
              August 31, 1995 at a price of 94.018% of principal amount.)
              200M-5.50% Due 9/1/16. (Original issue discount bonds delivered on or about
              August 31, 1995 at a price of 92.392% of principal amount.)
     250,000  City of Mesa, Arizona, Utility Systems Revenue Bonds, Series 1995, 5.375%   2005 at 101  AAA   Aaa
              Due 7/1/14.
     500,000  Town of Oro Valley Municipal Property Corporation (Arizona), Municipal      2008 at 101  AAA   Aaa
              Water System Acquisition Bonds, Series 1996 (Canada Hills and Rancho
              Vistoso Water Utilities Acquisition Project), 5.375% Due 7/1/26.
     500,000  City of Phoenix Civic Improvement Corporation (Arizona), Wastewater System  2004 at 102  AAA   Aaa
              Lease Revenue Refunding Bonds, Series 1993, 4.75% Due 7/1/23. (Original
              issue discount bonds delivered on or about November 4, 1993 at a price of
              92.50% of principal amount.)
     250,000  Apache Junction Unified School District No. 43 of Pinal County, Arizona,    2006 at 101  AAA   Aaa
              School Improvement Bonds, Project of 1996, Series A (1996), 5.85% Due
              7/1/15. (General Obligation Bonds.)
     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            8 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 07/18/96.
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 $.07. 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           $    100.88     4.90 %      5.19%   5.22%   5.22%   5.25%   5.24%   5.27 %
 500 / $50,000              100.72     4.75        5.19    5.22    5.23    5.25    5.25    5.27
 1,000 / $100,000           100.46     4.50        5.21    5.25    5.24    5.28    5.26    5.30
 2,500 / $250,000           100.20     4.25        5.22    5.26    5.25    5.29    5.27    5.31
 5,000 / $500,000            99.42     3.50        5.26    5.32    5.29    5.35    5.31    5.37
 10,000 / $1,000,000         98.91     3.00        5.29    5.36    5.32    5.39    5.34    5.41
 25,000 / $2,500,000         98.40     2.50        5.32    5.40    5.35    5.43    5.37    5.45
 50,000 / $5,000,000         97.90     2.00        5.34    5.44    5.38    5.47    5.40    5.49
</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      31.0%   34.5%   39.5%      43.0%
 <C>             <S>     <C>     <C>     <C>       <C>
         5.19  % 7.52%   7.92%   8.58%      9.11 %
         5.19    7.52    7.92    8.58       9.11
         5.21    7.55    7.95    8.61       9.14
         5.22    7.57    7.97    8.63       9.16
         5.26    7.62    8.03    8.69       9.23
         5.29    7.67    8.08    8.74       9.28
         5.32    7.71    8.12    8.79       9.33
         5.34    7.74    8.15    8.83       9.37
</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
09/01/96.
 
<TABLE>
<CAPTION>
                                                 Annual
                    First Payment   Payment      Income
 Payment Plan           Date       (per unit)  (per unit)
 <S>                <C>            <C>         <C>         <C>
 Initial partial
  payment (all
  plans)                 9/15/96   $   .6102
 Monthly plan           10/15/96       .4359   $ 5.2318
 Quarterly plan         11/15/96       .8772
                         2/15/97      1.3158     5.2638
 Semi-annual plan       11/15/96       .8802
                         5/15/97      2.6406     5.2828
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 100.95 =  99.058
 investment       offering price     # of units
 (as of           and accrued        purchased
 07/18/96)        interest
 99.058       X   $5.2318        =   $518.25
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>


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