NUVEEN TAX FREE UNIT TRUST SERIES 937
497, 1997-05-05
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<PAGE>
   
NUVEEN FLORIDA                                                            NUVEEN
INSURED UNIT TRUST 243                                                       937
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
All bonds in this Unit Trust are insured by MBIA    For the tax-sensitive, conservative investor.
Insurance Corporation. As a result, the bonds are   - Tax-Free
rated Aaa by Moody's Investors Service, Inc.        - Dependable Income
and/or AAA by Standard & Poor's, the highest        - Diversified Portfolios
rating given by each agency.                        - Top-Rated Municipal Bonds
ESTIMATED CURRENT RETURN:                           DATE OF DEPOSIT: May 5, 1997
5.12 - 5.33%
ESTIMATED LONG-TERM RETURN:
5.19 - 5.44%
</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    29.0 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           6706H6 310 monthly payment plan
Numbers         6706H6 328 quarterly payment plan
                6706H6 336 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)
2019-20                                            15.0%
2021-22                                            13.6%
2023-24                                             0.0%
2025-26                                            42.8%
2027+                                              28.6%
The earliest ordinary optional call date is 2005
 
YIELD COMPARISON AS OF 05/02/97*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Yield                                         5.12%
     Tax Equivalent Yield                          8.00%
 
Treasury Bonds
     Yield                                         6.91%
     Tax Equivalent Yield
 
Corporate Bonds
     Yield                   7.75%
</TABLE>
 
<PAGE>
 *COMPARES TRUST AS OF 05/02/97 WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS
  INVESTMENT GRADE LONG CORPORATE BOND INDEX AS OF 05/01/97. 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.
 
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>
 ----------------------------------------------------------------------------------------------------------------
 $   475,000  State of Florida, Full Faith and Credit, State Board of Education, Public   2005 at 101  AAA   Aaa
              Education Capital Outlay Refunding Bonds, 1995 Series D, 4.75% Due 6/1/22.
              (Original issue discount bonds delivered on or about December 28, 1995 at a
              price of 93.028% of principal amount.)(General Obligation Bonds.)
     500,000  The School Board of Dade County, Florida, Certificates of Participation,    2006 at 101  AAA   Aaa
              Series 1996A, 5.50% Due 5/1/25. (Original issue discount bonds delivered on
              or about May 1, 1996 at a price of 93.818% of principal amount.)
     500,000  Dade County, Florida, Water and Sewer System Revenue Bonds, Series 1997,    2007 at 101  AAA   Aaa
              5.25% Due 10/1/26. (Original issue discount bonds delivered on or about
              January 30, 1997 at a price of 93.586% of principal amount.)
     500,000  City of Lakeland, Florida, Hospital Revenue Refunding Bonds (Lakeland       2006 at 102  AAA   Aaa
              Regional Medical Center Project), Series 1996, 5.25% Due 11/15/25.
     500,000  City of Lakeland, Florida, Electric and Water Revenue Bonds, Series 1996,   2006 at 102  AAA   Aaa
              5.625% Due 10/1/36.
     525,000  Port of Palm Beach District (Palm Beach County, Florida), Revenue           2006 at 101  AAA   Aaa
              Improvement Bonds, Series 1996 A, 5.50% Due 9/1/19.
     500,000  City of Pensacola, Florida, Airport Revenue Bonds, Series 1997A, 5.75% Due  2007 at 102  AAA   Aaa
              10/1/27. (When issued.)
 ----------------------------------------------------------------------------------------------------------------
 $ 3,500,000  TOTAL         7 BONDS FROM FLORIDA.
</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 05/02/97.
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 %      5.12%   5.19%   5.15%   5.22%   5.17%   5.24 %
 500 / $50,000              100.09     4.75        5.13    5.19    5.16    5.22    5.18    5.24
 1,000 / $100,000            99.83     4.50        5.14    5.21    5.18    5.24    5.20    5.26
 2,500 / $250,000            99.57     4.25        5.16    5.23    5.19    5.26    5.21    5.28
 5,000 / $500,000            98.80     3.50        5.20    5.29    5.23    5.32    5.25    5.34
 10,000 / $1,000,000         98.29     3.00        5.22    5.32    5.26    5.35    5.28    5.37
 25,000 / $2,500,000         97.78     2.50        5.25    5.36    5.28    5.39    5.30    5.41
 50,000 / $5,000,000         97.29     2.00        5.28    5.39    5.31    5.42    5.33    5.44
</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>
         5.12  % 7.11%   7.42%   8.00%      8.48 %
         5.13    7.13    7.43    8.02       8.49
         5.14    7.14    7.45    8.03       8.51
         5.16    7.17    7.48    8.06       8.54
         5.20    7.22    7.54    8.13       8.61
         5.22    7.25    7.57    8.16       8.64
         5.25    7.29    7.61    8.20       8.69
         5.28    7.33    7.65    8.25       8.74
</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
06/01/97.
 
<TABLE>
<CAPTION>
                                                 Annual
                    First Payment   Payment      Income
 Payment Plan           Date       (per unit)  (per unit)
 <S>                <C>            <C>         <C>         <C>
 Initial partial
  payment (all
  plans)                 6/15/97   $   .3707
 Monthly plan            7/15/97       .4278   $ 5.1354
 Quarterly plan          8/15/97       .8610
                        11/15/97      1.2915     5.1674
 Semi-annual plan       11/15/97      2.1600
                         5/15/98      2.5920     5.1864
 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
 05/02/97)        interest
 99.710       X   $5.1354        =   $512.05
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>
<PAGE>
   
NUVEEN NEW YORK                                                           NUVEEN
INSURED UNIT TRUST 268                                                       937
    
 
- --------------------------------------------------------------------------------
 
   
<TABLE>
<S>                                                 <C>
RATED: "AAA"                                        NUVEEN TAX-FREE UNIT TRUSTS:
All bonds in this Unit Trust are insured by MBIA    For the tax-sensitive, conservative investor.
Insurance Corporation. As a result, the bonds are   - Double Tax-Free
rated Aaa by Moody's Investors Service, Inc.        - Dependable Income
and/or AAA by Standard & Poor's, the highest        - Diversified Portfolios
rating given by each agency.                        - Top-Rated Municipal Bonds
ESTIMATED CURRENT RETURN:                           DATE OF DEPOSIT: May 5, 1997
5.21 - 5.42%
ESTIMATED LONG-TERM RETURN:
5.23 - 5.50%
</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    24.9 years
Call Protection Earliest ordinary optional call is 2005
Minimum         $5,000 or 50 units, whichever is lower
Investment
Offering Price  $100.90 to $97.92 depending on the purchase amount
Cusip           67102K 556 monthly payment plan
Numbers         67102K 564 quarterly payment plan
                67102K 572 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)
2015-16                                            23.6%
2017-18                                             0.0%
2019-20                                             0.0%
2021-22                                            33.5%
2023+                                              42.9%
The earliest ordinary optional call date is 2005
 
YIELD COMPARISON AS OF 05/02/97*
  (Description of Yield Comparison Chart)
 
Nuveen UIT
     Yield                                         5.21%
     Tax Equivalent Yield                          8.76%
 
Treasury Bonds
     Yield                                         6.91%
     Tax Equivalent Yield                          7.42%
 
Corporate Bonds
     Yield                   7.75%
</TABLE>
 
<PAGE>
 *COMPARES TRUST AS OF 05/02/97 WITH 30-YEAR TREASURY BONDS AND LEHMAN BROTHERS
  INVESTMENT GRADE LONG CORPORATE BOND INDEX AS OF 05/01/97. ASSUMES 40.5%
  FEDERAL AND STATE INCOME TAX RATE AND A 6.85% 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.
 
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  Dormitory Authority of the State of New York, Pace University, Insured      2007 at 102  AAA   Aaa
              Revenue Bonds, Series 1997, 5.75% Due 7/1/26. (When issued.)
     325,000  Dormitory Authority of the State of New York, State University Educational  2005 at 102  AAA   Aaa
              Facilities Revenue Bonds, Series 1995A, 6.00% Due 5/15/16.
     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 Thruway Authority, Highway and Bridge Trust Fund Bonds,      2005 at 102  AAA   Aaa
              Series 1995A, 5.50% Due 4/1/15.
     500,000  Metropolitan Transportation Authority (New York), Commuter Facilities       2007 at 101  AAA   Aaa
              Revenue Bonds, Series 1997A, 5.75% Due 7/1/21.                                  1/2
     500,000  The City of New York (New York), General Obligation Bonds, Fiscal 1997      2007 at 101  AAA   Aaa
              Series I, 6.25% Due 4/15/27.
     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, 5.875% Due 6/15/26.
              (Original issue discount bonds delivered on or about May 16, 1996 at a
              price of 93.908% of principal amount.)
     175,000  Triborough Bridge and Tunnel Authority (New York), General Purpose Revenue  No Optional  AAA   Aaa
              Bonds, Series 1993B, 0.00% Due 1/1/21. (Original issue discount bonds           Call
              delivered on or about November 9, 1993 at a price of 22.627% of principal
              amount.)
 ----------------------------------------------------------------------------------------------------------------
 $ 3,500,000  TOTAL         8 BONDS FROM NEW YORK.
</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 05/02/97.
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           $    100.90     4.90 %      5.21%   5.23%   5.24%   5.26%   5.26%   5.28 %
 500 / $50,000              100.75     4.75        5.22    5.24    5.25    5.27    5.27    5.29
 1,000 / $100,000           100.48     4.50        5.23    5.26    5.26    5.29    5.28    5.31
 2,500 / $250,000           100.22     4.25        5.24    5.28    5.28    5.31    5.30    5.33
 5,000 / $500,000            99.44     3.50        5.29    5.34    5.32    5.37    5.34    5.39
 10,000 / $1,000,000         98.93     3.00        5.31    5.38    5.35    5.41    5.36    5.43
 25,000 / $2,500,000         98.42     2.50        5.34    5.42    5.37    5.45    5.39    5.46
 50,000 / $5,000,000         97.92     2.00        5.37    5.45    5.40    5.48    5.42    5.50
</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%   35.5%   40.5%      43.5%
 <C>             <S>     <C>     <C>     <C>       <C>
         5.21  % 7.78%   8.08%   8.76%      9.22 %
         5.22    7.79    8.09    8.77       9.24
         5.23    7.81    8.11    8.79       9.26
         5.24    7.82    8.12    8.81       9.27
         5.29    7.90    8.20    8.89       9.36
         5.31    7.93    8.23    8.92       9.40
         5.34    7.97    8.28    8.97       9.45
         5.37    8.01    8.33    9.03       9.50
</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
06/01/97.
 
<TABLE>
<CAPTION>
                                                 Annual
                    First Payment   Payment      Income
 Payment Plan           Date       (per unit)  (per unit)
 <S>                <C>            <C>         <C>         <C>
 Initial partial
  payment (all
  plans)                 6/15/97   $   .3796
 Monthly plan            7/15/97       .4380   $ 5.2564
 Quarterly plan          8/15/97       .8808
                        11/15/97      1.3212     5.2884
 Semi-annual plan       11/15/97      2.2110
                         5/15/98      2.6532     5.3074
 EXAMPLE OF HOW TO CALCULATE YOUR ESTIMATED INCOME:
 $10,000       DIVIDED  BY 100.94 =  99.068
 investment       offering price     # of units
 (as of           and accrued        purchased
 05/02/97)        interest
 99.068       X   $5.2564        =   $520.74
 # of units       annual income      annual income
 purchased        per unit
                  (monthly plan)
</TABLE>


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