NUVEEN TAX FREE TRUST SERIES 877
497, 1996-07-17
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<PAGE>
                                                                          NUVEEN
   
NUVEEN NATIONAL
INSURED UNIT TRUST 323                                                       877
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
ESTIMATED CURRENT RETURN:                           For the tax-sensitive, conservative investor.
5.41 - 5.63%                                        - Tax-Free
ESTIMATED LONG-TERM RETURN:                         - Dependable Income
5.46 - 5.74%                                        - Diversified Portfolios
DATE OF DEPOSIT: July 17, 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 but may
                be subject to state and local tax. Capital gains
                are taxable.
Total Principal $10,000,000 in 100,000 units
Average Life    27.8 years
Call Protection Earliest ordinary optional call is 2004
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $99.89 to $96.94 depending on the purchase amount
Cusip           6710A5 105 monthly payment plan
Numbers         6710A5 113 quarterly payment plan
                6710A5 121 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 all states
</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>
 
- --------------------------------------------------------------------------------
 
PORTFOLIO INCOME DIVERSIFICATION
 
<TABLE>
<S>               <C>        <C>        <C>               <C>        <C>        <C>               <C>        <C>
California             26.5  %          Illinois                8.2  %          Louisiana               9.9  %
New Hampshire          10.6             New York               21.1             Pennsylvania            4.1
Texas                   8.0             Virginia                2.3             Washington              9.3
</TABLE>
 
<TABLE>
<S>                          <C>
MATURITY DATES (Descrtiption of Chart)
2018-20                                             7.4%
2021-23                                            22.6%
2024+                                              70.0%
</TABLE>
<PAGE>
<TABLE>
<S>                          <C>
The earliest ordinary optional call date is 2004
 
YIELD COMPARISON AS OF 07/16/96*
  (Descrition of Yield Comparison Chart)
 
Nuveen UIT
     Pre-Tax                                       8.45%
     Tax Equivalent Yield                          5.41%
 
Treasury Bonds
     Pre-Tax                                       7.39%
     Tax Equivalent Yield                          7.02%
 
Corporate Bonds
     Yield                   7.79%
</TABLE>
 
 *COMPARES TRUST WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS INVESTMENT
  GRADE LONG CORPORATE BOND INDEX. ASSUMES 36.0% FEDERAL AND 5.0% STATE INCOME
  TAX RATES. 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 NATIONAL 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  San Diego State University (California), Student Union Revenue Bonds,                    AAA   Aaa
              Series B, 6.125% Due 11/1/24.                                               2004 at 102
     975,000  Los Angeles County Metropolitan Transportation Authority (California),                   AAA   Aaa
              Sales Tax Revenue Refunding Bonds, Proposition A-2nd Tier, Series 1996,
              6.00% Due 7/1/21.                                                           2006 at 101
     975,000  County of Madera, California, Certificates of Participation (Valley                      AAA   Aaa
              Children's Hospital Project), Series 1995, 6.125% Due 3/15/23.              2005 at 102
     900,000  City of Chicago (Illinois), General Obligation Bonds, Project and Refunding              AAA   Aaa
              Series 1995B, 5.125% Due 1/1/25. (Original issue discount bonds delivered
              on or about February 6, 1996 at a price of 93.231% of principal amount.)    2006 at 102
   1,000,000  Ernest N. Morial-New Orleans (Louisiana), Exhibition Hall Authority,                     AAA   Aaa
              Special Tax Bonds, Series 1996-C, 5.60% Due 7/15/25.                        2006 at 101
     300,000  Southern Minnesota Municipal Power Agency, Power Supply System Revenue                   AAA   Aaa
              Bonds, Series 1994 A, 0.00% Due 1/1/23. (Original issue discount bonds
              delivered on or about October 13, 1994 at a price of 15.616% of principal
              amount.)                                                                    No Optional
                                                                                              Call
   1,000,000  New Hampshire Higher Educational and Health Facilities Authority, Hospital               AAA   Aaa
              Revenue Bonds, Concord Hospital Issue, Series 1996, 6.00% Due 10/1/26.
              (When issued.)                                                              2006 at 102
   1,000,000  New York State Medical Care Facilities Finance Agency, Mental Health                     AAA   Aaa
              Services Facilities Improvement Revenue Bonds, 1995 Series A, 6.00% Due
              2/15/25. (General Obligation Bonds.)                                        2005 at 102
   1,000,000  New York City, New York, Municipal Water Finance Authority, Water and Sewer              AAA   Aaa
              System Revenue Bonds, Fiscal 1996 Series A, 5.875% Due 6/15/25.             2005 at 101
     395,000  Allegheny County Hospital Development Authority (Allegheny County,                       AAA   Aaa
              Pennsylvania), Hospital Revenue Bonds, Series A of 1996 (South Hills Health
              System), 5.875% Due 5/1/26.                                                 2006 at 102
     735,000  Sabine River Authority of Texas, Pollution Control Revenue Refunding Bonds               AAA   Aaa
              (Southwestern Electric Power Company Project), Series 1996, 6.10% Due
              4/1/18.                                                                     2006 at 102
     220,000  Riverside Regional Jail Authority (Virginia), Jail Facility Revenue Bonds,               AAA   Aaa
              Series 1995, 6.00% Due 7/1/25.                                              2005 at 102
   1,000,000  The City of Seattle, Washington, Drainage and Wastewater Utility                         AAA   Aaa
              Improvement and Refunding Revenue Bonds, 1995, 5.25% Due 12/1/25.           2005 at 102
 ----------------------------------------------------------------------------------------------------------------
 $10,000,000  TOTAL             13 BONDS FROM 10 STATES
</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 07/16/96.
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 $.08. 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           $     99.89     4.90 %      5.41%   5.46%   5.44%   5.50%   5.46%   5.52 %
 500 / $50,000               99.74     4.75        5.42    5.47    5.45    5.51    5.47    5.53
 1,000 / $100,000            99.48     4.50        5.44    5.49    5.47    5.53    5.49    5.55
 2,500 / $250,000            99.22     4.25        5.45    5.51    5.48    5.55    5.50    5.57
 5,000 / $500,000            98.45     3.50        5.49    5.57    5.52    5.61    5.54    5.63
 10,000 / $1,000,000         97.94     3.00        5.52    5.61    5.55    5.65    5.57    5.67
 25,000 / $2,500,000         97.44     2.50        5.55    5.64    5.58    5.68    5.60    5.71
 50,000 / $5,000,000         96.94     2.00        5.58    5.68    5.61    5.72    5.63    5.74
</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
   UNIT TRUST             tax bracket)
     RETURN      28.0%   31.0%   36.0%   39.6%
 <C>             <S>     <C>     <C>     <C>     <C>
         5.41  % 7.51%   7.84%   8.45%   8.96%
         5.42    7.53    7.86    8.47    8.97
         5.44    7.56    7.88    8.50    9.01
         5.45    7.57    7.90    8.52    9.02
         5.49    7.63    7.96    8.58    9.09
         5.52    7.67    8.00    8.63    9.14
         5.55    7.71    8.04    8.67    9.19
         5.58    7.75    8.09    8.72    9.24
</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   $   .6604
 Monthly plan           10/15/96       .4503   $ 5.4067
 Quarterly plan         11/15/96       .9060
                         2/15/97      1.3590     5.4387
 Semi-annual plan       11/15/96       .9096
                         5/15/97      2.7288     5.4577
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 99.97 =   100.030
 investment       offering price     # of units
 (as of           and accrued        purchased
 07/16/96)        interest
 100.030      X   $5.4067        =   $540.83
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>
<PAGE>
                                                                          NUVEEN
   
NUVEEN CALIFORNIA
INSURED UNIT TRUST 269                                                       877
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
ESTIMATED CURRENT RETURN:                           For the tax-sensitive, conservative investor.
5.27 - 5.49%                                        - Double Tax-Free
ESTIMATED LONG-TERM RETURN:                         - Dependable Income
5.41 - 5.69%                                        - Diversified Portfolios
DATE OF DEPOSIT: July 17, 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    26.5 years
Call Protection Earliest ordinary optional call is 2004
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $100.03 to $97.07 depending on the purchase amount
Cusip           67064W 762 monthly payment plan
Numbers         67064W 770 quarterly payment plan
                67064W 788 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 California
</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)
2012-15                                             7.1%
2016-19                                            00.0%
2020-23                                            44.3%
2024+                                              48.6%
The earliest ordinary optional call date is 2004
 
YIELD COMPARISON AS OF 07/16/96*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Pre-Tax                                       9.09%
     Tax Equivalent Yield                          5.27%
 
Treasury Bonds
     Pre-Tax                                       7.74%
     Tax Equivalent Yield                          7.02%
 
Corporate Bonds
     Yield                   7.79%
</TABLE>
 
<PAGE>
 *COMPARES TRUST WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS INVESTMENT
  GRADE LONG CORPORATE BOND INDEX. ASSUMES 42.0% FEDERAL AND STATE INCOME TAX
  RATE AND A 9.30% 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 CALIFORNIA 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 California, Various Purpose General Obligation Bonds, 5.90% Due    2005 at 101  AAA   Aaa
              3/1/25.
     200,000  California Statewide Communities Development Authority, Auxiliary           2006 at 101  AAA   Aaa
              Organization Revenue Certificates of Participation (The University
              Corporation-California State University, Northridge), Series 1996, 6.00%
              Due 4/1/26. (When issued.)
     500,000  San Diego State University (California), Student Union Revenue Bonds,       2004 at 102  AAA   Aaa
              Series B, 6.125% Due 11/1/24.
     525,000  Los Angeles County Metropolitan Transportation Authority (California),      2006 at 101  AAA   Aaa
              Sales Tax Revenue Refunding Bonds, Proposition A-2nd Tier, Series 1996,
              6.00% Due 7/1/21.
     525,000  County of Madera, California, Certificates of Participation (Valley         2005 at 102  AAA   Aaa
              Children's Hospital Project), Series 1995, 6.125% Due 3/15/23.
     500,000  County of Orange, California, 1996 Recovery Certificates of Participation,  2006 at 102  AAA   Aaa
              Series A, 6.00% Due 7/1/26.
     500,000  Saddleback Community College District (Orange County, California),          2006 at 102  AAA   Aaa
              Certificates of Participation (1996 Capital Improvement Financing Project),
              5.50% Due 6/1/21. (Original issue discount bonds delivered on or about June
              4, 1996 at a price of 94.555% of principal amount.)
     250,000  Southern California Public Power Authority, Transmission Project Revenue    No Optional  AAA   Aaa
              Bonds, 1988 Refunding Series A, 0.00% Due 7/1/12. (Original issue discount      Call
              bonds delivered on or about November 22, 1988 at a price of 18.402% of
              principal amount.)(Escrow Secured.)
 ----------------------------------------------------------------------------------------------------------------
 $ 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 07/16/96.
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           $    100.03     4.90 %      5.27%   5.41%   5.30%   5.45%   5.32%   5.47 %
 500 / $50,000               99.87     4.75        5.28    5.42    5.31    5.46    5.33    5.48
 1,000 / $100,000            99.61     4.50        5.29    5.44    5.33    5.48    5.35    5.50
 2,500 / $250,000            99.35     4.25        5.31    5.46    5.34    5.50    5.36    5.52
 5,000 / $500,000            98.58     3.50        5.35    5.52    5.38    5.56    5.40    5.58
 10,000 / $1,000,000         98.07     3.00        5.38    5.55    5.41    5.59    5.43    5.61
 25,000 / $2,500,000         97.57     2.50        5.41    5.59    5.44    5.63    5.46    5.65
 50,000 / $5,000,000         97.07     2.00        5.43    5.63    5.47    5.67    5.49    5.69
</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      34.5%   37.5%   42.0%      45.0%
 <C>             <S>     <C>     <C>     <C>       <C>
         5.27  % 8.05%   8.43%   9.09%      9.58 %
         5.28    8.06    8.45    9.10       9.60
         5.29    8.08    8.46    9.12       9.62
         5.31    8.11    8.50    9.16       9.65
         5.35    8.17    8.56    9.22       9.73
         5.38    8.21    8.61    9.28       9.78
         5.41    8.26    8.66    9.33       9.84
         5.43    8.29    8.69    9.36       9.87
</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   $   .6446
 Monthly plan           10/15/96       .4395   $ 5.2743
 Quarterly plan         11/15/96       .8838
                         2/15/97      1.3257     5.3063
 Semi-annual plan       11/15/96       .8874
                         5/15/97      2.6622     5.3253
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 100.10 =  99.900
 investment       offering price     # of units
 (as of           and accrued        purchased
 07/16/96)        interest
 99.900       X   $5.2743        =   $526.90
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>


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