ZENIX INCOME FUND INC
N-30B-2, 1994-08-26
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<PAGE>
[GRAPHIC]
The fund name is printed in the
upper left-hand corner. A picture of
the New York Stock Exchange building
is shown on half the cover diagonally.
A circle showing the "Z" and "X" from
the fund name is run together and is
centered.
 
                                       QUARTERLY REPORT
                                        JUNE 30, 1994
<PAGE>
- ----------------------------
- --------------------------
 
                             ZENIX INCOME FUND INC.
                                     [LOGO]
 
June 30, 1994
 
<TABLE>
 <S>             <C>
 DEAR
 SHAREHOLDER:    The  high yield  market encountered  continuing weakness
                 during the past seven months in concert with the general
                 correction in  the  bond  and stock  markets.  Over  the
                 course  of  the  year,  the market  has  begun  to offer
                 reasonable value with yield spreads widening to over 400
                 basis  points   above   comparable   maturity   treasury
                 securities from less than 300 basis points in January.
                 After   being   relatively  more   defensively  postured
                 throughout the first quarter of 1994, having raised cash
                 reserves to between  5 and  7% of  portfolio assets,  we
                 have  continued  to  reinvest back  into  the  market in
                 attractively valued  new  issues as  well  as  secondary
                 issues.  We continue to limit  our overall interest rate
                 risk by limiting overall portfolio average call adjusted
                 maturities to the 6 to 7 year range.
                 Because of our  higher quality  orientation relative  to
                 our  peer group, we ironically underperformed the mutual
                 fund averages over  the first  quarter and  most of  the
                 second quarter. We have found that upper tier high yield
                 bonds tend to have greater interest rate risk than lower
                 tier  high yield  bonds. However,  over a  full economic
                 cycle,  the   higher   tier   issues   have   materially
                 outperformed lower tier issues which possess much higher
                 default  risk. Consequently, we  remain committed to our
                 more conservative  credit orientation  which we  believe
                 will  generate more consistent  performance results over
                 the full economic cycle.
</TABLE>
 
<PAGE>
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<TABLE>
 <S>             <C>
                 Given the strengthening  economy, we  have continued  to
                 place  a heavy emphasis in the portfolio on economically
                 sensitive companies.  We have  continued to  selectively
                 add bonds and preferred stock issues of paper and forest
                 products   companies,   general   manufacturers,   steel
                 producers, specialty chemical  producers and  auto/truck
                 parts suppliers. We have also concentrated on moving the
                 general  portfolio  from lower  coupon issues  to higher
                 coupon issues that  will tend  to be  less sensitive  to
                 general interest rate changes. We still believe the bulk
                 of  the total returns in 1994 will be from coupon income
                 rather  than  from  capital  appreciation,  as   general
                 interest  rates eventually settle into a defined trading
                 range.
                 As a result of the  repositioning of the portfolio  that
                 has  occurred  over  the  reporting  period,  the income
                 generated   from   the   portfolio's   investments   has
                 increased.  Consequently, the Fund's  Board of Directors
                 has increased  the  portfolio's  monthly  dividend  from
                 $0.068  per  common share  to  $0.069 per  common share,
                 effective as of the August dividend.
                 Additionally, at their June meeting, the Fund's Board of
                 Directors approved an amendment  to the Fund's  Dividend
                 Reinvestment  Plan.  Under the  Plan, a  shareholder can
                 elect to  have  dividends  automatically  reinvested  in
                 shares  of the  Fund's common stock.  If 98%  of the net
                 asset value per share of the Fund's common stock at  the
                 time   of  valuation   for  purposes   of  the  dividend
                 distribution exceeds the market  price of the stock,  or
                 if  the  Fund  declares  a  dividend  or  capital  gains
                 distribution payable only in cash, the Plan's purchasing
                 agent will buy shares of the Fund's common stock in  the
                 open  market for the  plan participants' accounts. Under
                 the  current  Plan,  these  purchases  commence  on  the
                 dividend payment date. The Directors revised the Plan to
                 provide that the purchasing agent may commence purchases
                 of common shares on the open market as of record date in
                 anticipation  of the dividend payment.  It is hoped that
                 this will decrease the cost of the repurchased shares by
                 increasing the amount of time over which such  purchases
                 will   be   made,  so   that   purchases  on   the  open
</TABLE>
 
                                       2
 
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<PAGE>
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<TABLE>
 <S>             <C>
                 market will not be compacted into a small window follow-
                 ing the payment  date. This revision  will be  effective
                 upon  the first  dividend declaration  after December 1,
                 1994.
                 We hope that you are pleased with your investment in the
                 portfolio. If you  have any questions  or comments  con-
                 cerning  your investment in the portfolio, please do not
                 hesitate to  contact  The Shareholders  Services  Group,
                 Inc. at (800) 331-1710.
</TABLE>
 
<TABLE>
 <S>              <C>                      <C>
 SINCERELY,
 
                  Heath B. McLendon        John C. Bianchi
                  Chairman of the Board    Vice President and
                  and Investment Officer   Investment Officer
 
 August 1, 1994
</TABLE>
 
                                       3
 
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<PAGE>
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                                        FINANCIAL DATA PER SHARE OF COMMON STOCK
 
<TABLE>
<CAPTION>
                                                                                                     Interest
                                                                                                     Rate
                                                                                                     On Senior
                                                                                                     Money
                                               NYSE         Net                      Dividend        Market
       Record                Pay             Closing       Asset     Dividend      Reinvestment      Notes
        Date                Date              Price*       Value*      Paid           Price          due 1995
 <S>                 <C>                     <C>           <C>       <C>           <C>               <C>
  7/23/93             7/31/93                 $7.625       $7.14      $.0680           $7.24          $3.179
  8/24/93             8/31/93                  7.750        7.13       .0680            7.36           3.109
  9/23/93             9/30/93                  7.500        7.02       .0680            7.13           3.109
  10/22/93            10/31/93                 7.625        7.17       .0680            7.24           3.090
  11/22/93            11/30/93                 7.625        7.15       .0680            7.24           3.060
  12/23/93            12/31/93                 7.625        7.17       .0680            7.24           3.050
  1/24/94             1/31/94                  7.750        7.28       .0680            7.36           3.098
  2/18/94             2/28/94                  7.750        7.27       .0680            7.36           3.349
  3/24/94             3/31/94                  7.750        7.05       .0680            7.36           3.600
  4/22/94             4/30/94                  7.375        6.49       .0680            7.01           3.746
  5/23/94             5/31/94                  7.000        6.45       .0680            6.65           4.300
  6/23/94             6/30/94                  7.375        6.53       .0680            7.01           4.200
 
 The  reinvestment price is the greater of 98% of the net  asset value ("NAV") per share or 95% of the current
 market price on  valuation date if  shares are  issued. If the  market price  is lower than  NAV, shares  are
 purchased in the market.
 
  * As of Record Date.
</TABLE>
 
                                       4
 
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<PAGE>
                                                        Portfolio of Investments
[LOGO]                                                 June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
        Face                                                        Value
       Value                                                       (Note 1)
 <S> <C>          <C>                                            <C>
 ----------------------------------------------------------------------------
 CORPORATE BONDS AND
 NOTES--115.8%
 PACKAGING AND CONTAINERS--12.5%
                  Container Corporation of America:
     $2,805,000   Sr. Sub. Note, 13.500% due 12/01/1999.......   $  3,085,500
      1,750,000   Guaranteed Sr. Note, 11.250% due
                  05/01/2004..................................      1,839,688
      2,350,000   Gaylord Container Corporation, Sr. Note,
                  11.500% due 05/15/2001......................      2,444,000
        975,000   Silgan Holdings Inc., Sr. Disc. Deb., Zero
                  Coupon, due 12/15/2002......................        749,531
      2,450,000   Stone Container Corporation, Sr. Note,
                  12.625% due 07/15/1998......................      2,312,187
        725,000   Sweetheart Cup Inc., Sr. Sub. Note, 10.500%
                  due 09/01/2003..............................        717,750
      2,825,000   United States Can Company, Sr. Sub. Note,
                  13.500% due 01/15/2002......................      3,156,938
                                                                 ------------
                                                                   14,305,594
                                                                 ------------
 HOTEL, CASINO AND GAMING--12.1%
      1,300,000   Bally's Park Place Funding Inc., First
                  Mortgage Note, 11.875% due 08/15/1999.......      1,371,500
      1,125,000   Boyd Gaming Corporation, Series B, Sr. Sub.
                  Note, 10.750% due 09/01/2003................      1,127,812
     $1,250,000   Empress River Casino, Sr. Note, 10.750% due
                  04/01/2002..................................   $  1,229,687
      1,475,000   GNF Corporation, First Mortgage Bond,
                  10.625% due 04/01/2003......................      1,091,500
      1,850,000   Lady Luck Gaming Corporation, First Mortgage
                  Note, 10.500% due 03/01/2001**..............      1,678,875
        890,000   Santa Fe Hotel Inc., Unit Guaranteed, First
                  Mortgage Note, 11.000% due 12/15/2000.......        872,200
      2,650,000   Station Casinos Inc., Sr. Sub. Note, 9.625%
                  due 06/01/2003..............................      2,438,000
      1,825,000   Trump Plaza Funding Inc., First Mortgage
                  Note, 10.875% due 06/15/2001................      1,542,125
      3,054,901   Trump Taj Mahal Fund, Unit Building 1
                  Management, (Payment-in-kind), 11.50% due
                  11/15/1999..................................      2,596,666
                                                                 ------------
                                                                   13,948,365
                                                                 ------------
 BUILDING AND CONSTRUCTION--10.1%
      3,850,000   American Standard Inc., Sr. Deb., 11.75% due
                  05/15/2004..................................      4,042,500
      1,550,000   Greystone Homes Inc., Guaranteeed Sr. Sub.
                  Note, 10.750% due 03/01/2004**..............      1,519,000
                  Hovnainan K. Enterprises Inc.:
      1,100,000   Sr. Sub. Note, 9.750% due 06/01/2005........      1,087,625
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       5
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                                 June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
        FACE                                                        VALUE
       VALUE                                                       (NOTE 1)
 <S> <C>          <C>                                            <C>
 ----------------------------------------------------------------------------
 CORPORATE BONDS AND
 NOTES--(CONTINUED)
 BUILDING AND CONSTRUCTION--(CONTINUED)
     $1,300,000   Guaranteed Note, 11.250% due 04/15/2002.....   $  1,391,000
        900,000   Miles Homes Services Unit, Sr. Note, 12.000%
                  due 04/01/2001..............................        904,500
      1,275,000   UDC Homes, Sr. Note, 11.750% due
                  04/30/2003..................................      1,249,500
      1,575,000   US Home Corporation, Sr. Note, 9.750% due
                  06/15/2003..................................      1,464,750
                                                                 ------------
                                                                   11,658,875
                                                                 ------------
 PAPER AND PRINTING--9.0%
      1,730,000   Domtar Inc., Sr. Note, 12.000% due
                  04/15/2001..................................      1,864,075
        600,000   Indah Kiat International Financing Company,
                  B.V., Sr. Secured Note, 11.875% due
                  06/15/2002..................................        606,000
      1,685,000   Repap Wisc. Inc., 2nd Priority Sr. Note,
                  9.875% due 05/01/2006.......................      1,541,775
                  Riverwood International Corporation, Sr.
                  Sub. Note:
        809,000   Series 1, 11.250% due 06/15/2002;...........        845,405
      1,440,000   Series 2, 11.250% due 06/15/2002............      1,490,400
     $3,950,000   Stone Consolidated Corporation, Sr. Secured
                  Note, 10.250% due 12/15/2000................   $  3,931,250
                                                                 ------------
                                                                   10,278,905
                                                                 ------------
 INSURANCE AND CONSUMER CREDIT COMPANIES--7.4%
        750,000   Coldwell Banker Corporation, Sr. Sub. Notes,
                  10.250% due 06/30/2003**....................        753,750
      1,200,000   Bankers Life Holding Corporation, Sr. Sub.
                  Note, Series B, 13.000% due 11/01/2002......      1,380,000
      2,100,000   Life Partners Group, Inc., Sr. Sub. Note,
                  12.750% due 07/15/2002......................      2,409,750
      1,100,000   Lomas Mortgage USA, Inc., Sr. Note, 10.250%
                  due 10/01/2002..............................      1,075,250
                  Reliance Group Holdings, Inc., Sr. Notes:
      1,150,000   9.000% due 11/15/2000.......................      1,043,625
      2,000,000   9.750% due 11/15/2003.......................      1,820,000
                                                                 ------------
                                                                    8,482,375
                                                                 ------------
 GROCERY AND CONVENIENCE STORES--7.4%
        650,000   Big V Supermarket Inc., Sr. Sub. Note,
                  11.000% due 02/15/2004**....................        609,375
        775,000   Farm Fresh Inc., Sr. Note, Series A 12.250%
                  due 10/01/2000..............................        764,344
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       6
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                                 June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
        FACE                                                        VALUE
       VALUE                                                       (NOTE 1)
 <S> <C>          <C>                                            <C>
 ----------------------------------------------------------------------------
 CORPORATE BONDS AND
 NOTES--(CONTINUED)
 GROCERY AND CONVENIENCE STORES--(CONTINUED)
     $1,990,000   Grand Union Company, Sr. Note, 11.250% due
                  07/15/2000..................................   $  1,970,100
      1,000,000   P & C Food Markets, Inc., Sr. Note, 11.500%
                  due 10/15/2001..............................      1,077,500
                  Pathmark Stores, Inc.:
      1,275,000   Sub. Note, 11.625% due 06/15/2002...........      1,313,250
      1,250,000   Sr. Sub. Note, 9.625% due 05/01/2003........      1,179,688
      1,615,000   Penn Traffic Company, Sr. Sub. Note, 9.625%
                  due 04/15/2005..............................      1,550,400
                                                                 ------------
                                                                    8,464,657
                                                                 ------------
 HEALTH CARE--6.9%
      1,026,000   ALCO Health Distribution Corporation, Sr.
                  Deb., 11.250% due 07/15/2005................      1,072,170
      1,830,000   American Medical International Inc., Sr.
                  Sub. Note, 13.500% due 08/15/2001...........      2,061,037
        900,000   Charter Medical Corporation, Sr. Sub Note,
                  11.250% due 04/15/2004**....................        918,000
      1,925,000   Healthtrust Inc., The Hospital Company, Sub.
                  Note, 10.750% due 05/01/2002................      1,992,375
     $1,800,000   Ornda Healthcorp, Sr. Sub Note, 12.250% due
                  05/15/2002..................................   $  1,944,000
                                                                 ------------
                                                                    7,987,582
                                                                 ------------
 METALS AND MINING--6.8%
      2,205,000   AK Steel Corporation, Sr. Note, 10.750% due
                  04/01/2004..................................      2,227,050
      1,000,000   Essex Group Inc., Sr. Note, 10.000% due
                  05/01/2003..................................        980,000
      1,150,000   Federal Industries Limited, CDA, Sr. Note,
                  10.250% due 06/15/2000......................      1,115,500
        700,000   Jorgensen, (Earle M.) Company, Sr. Note,
                  10.750% due 03/01/2000......................        716,625
      1,850,000   Republic Engineered Steels Manufacturing,
                  First Mortgage Note, 9.875% due
                  12/15/2001..................................      1,782,938
      1,000,000   Weirton Steel Corporation, Sr. Note, 11.500%
                  due 03/01/1998..............................      1,035,000
                                                                 ------------
                                                                    7,857,113
                                                                 ------------
 CHEMICALS--4.9%
        650,000   Buckeye Cellulose Corporation, Sr. Note,
                  10.250% due 05/15/2001......................        637,812
        900,000   Huntsman Corporation, First Mortgage Note,
                  11.000% due 04/15/2004......................        927,000
      2,100,000   NL Industries Inc., Sr. Secured Note,
                  11.750% due 10/15/2003......................      2,168,250
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       7
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                                 June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
        FACE                                                        VALUE
       VALUE                                                       (NOTE 1)
 <S> <C>          <C>                                            <C>
 ----------------------------------------------------------------------------
 CORPORATE BONDS AND
 NOTES--(CONTINUED)
 CHEMICALS--(CONTINUED)
     $  650,000   OSI Specialties Holding Company, Units,
                  11.500%due 04/15/2004.......................   $    392,438
      1,500,000   UCC Investors Holding Inc., Sr. Sub. Notes,
                  11.000% due 05/01/2003......................      1,552,500
                                                                 ------------
                                                                    5,678,000
                                                                 ------------
 OIL AND GAS--4.8%
        875,000   Dual Drilling Company, Sr. Sub. Note, 9.875%
                  due 01/15/2004..............................        824,688
      1,150,000   Giant Industries Inc., Guaranteed Sr. Sub
                  Note, 9.750% due 11/15/2003.................      1,086,750
      3,175,000   Mesa Capital Corporation, Secured Discount
                  Note, Step
                  up Bond, zero coupon
                  to 06/30/1995, 12.750% due 06/30/1998.......      2,897,188
        675,000   Santa Fe Energy Resources Inc., Sr. Sub.
                  Note, 11.000% due 05/15/2004................        691,031
                                                                 ------------
                                                                    5,499,657
                                                                 ------------
 CONSUMER DURABLES--4.6%
      3,550,000   Colman Holdings, Inc., Zero coupon due
                  05/27/1998..................................      2,396,250
     $5,825,000   International Semi-Tech, Sr. Note, Step
                  up Bond, zero coupon
                  to 08/15/2000, 11.500% due 08/15/2003.......   $  2,941,625
                                                                 ------------
                                                                    5,337,875
                                                                 ------------
 T.V., CABLE AND RADIO BROADCASTING--4.5%
        350,000   Continental Cablevision Inc., Sr. Sub. Note,
                  11.000% due 06/01/2007......................        362,250
        500,000   Jones Intercable Inc., Sr. Sub. Deb.,
                  11.500% due 07/15/2004......................        530,000
        525,000   Rogers Cablesystems Ltd., Sr. Secured 2nd
                  Priority Deb.,
                  10.125% due 09/01/2012......................        525,000
 CAD  1,275,000   Rogers Cablesystems Ltd., Sr. Deb.,
                  9.650% due 01/15/2014.......................        774,656
     $  625,000   Rogers Communications Inc., Sr. Deb.,
                  10.875% due 04/15/2004......................        642,187
      2,110,000   Videotron Holdings PLC, Sr. Discount Note,
                  11.125%*** due 07/01/2004...................      1,218,525
      1,825,000   Viacom Inc., Sub. Deb. Exchangable, 8.000%
                  due 07/01/2006..............................      1,177,125
                                                                 ------------
                                                                    5,229,743
                                                                 ------------
 TEXTILES AND LEATHER--3.6%
      1,350,000   CMI Industries, Sr. Sub. Note, 9.500% due
                  10/01/2003..................................      1,267,312
        900,000   Dan River Inc., Sr. Sub. Note, 10.125% due
                  12/15/2003..................................        823,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       8
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                                 June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
        FACE                                                        VALUE
       VALUE                                                       (NOTE 1)
 <S> <C>          <C>                                            <C>
 ----------------------------------------------------------------------------
 CORPORATE BONDS AND
 NOTES--(CONTINUED)
 TEXTILES AND LEATHER--(CONTINUED)
     $2,100,000   Hartmarx Corporation, Sr. Sub. Note, 10.875%
                  due 01/15/2002..............................   $  2,063,250
                                                                 ------------
                                                                    4,154,062
                                                                 ------------
 RETAIL--3.6%
      1,450,000   Barnes & Noble Inc., Sr. Sub. Note, 11.875%
                  due 01/15/2003..............................      1,573,250
      1,500,000   Bradlees Inc., Sr. Sub. Note, 11.000% due
                  08/01/2002..................................      1,528,125
      1,025,000   Wickes Lumber Company, Sr. Sub. Note,
                  11.625% due 12/15/2003......................      1,050,625
                                                                 ------------
                                                                    4,152,000
                                                                 ------------
 AUTOMOBILE AND TRUCK
 MANUFACTURING--3.6%
        650,000   Fairfield Manufacturing Inc., Sr. Sub. Note,
                  11.75% due 07/01/2001.......................        653,250
      1,675,000   Spx Corporation, Sr. Sub. Note, 11.750%, due
                  06/01/2002..................................      1,721,062
      1,650,000   Truck Components Inc., Sr. Note, Series A,
                  12.750% due 06/30/2001**....................      1,707,750
                                                                 ------------
                                                                    4,082,062
                                                                 ------------
 PUBLISHING--3.5%
      3,150,000   Bell & Howell Holdings Company, Deb., Series
                  A, Step
                  up Bond, zero coupon
                  to 03/01/2000, 11.500% due 03/01/2005.......      1,744,312
     $1,300,000   Marvel III Holdings, Sr. Note, 9.125% due
                  02/15/1998**................................   $  1,186,250
 AUD  1,950,000   News America Holdings, Inc., Deb., 8.625%
                  due 02/07/2014..............................      1,072,449
                                                                 ------------
                                                                    4,003,011
                                                                 ------------
 ELECTRONICS AND COMPUTERS--3.4%
     $3,460,000   Anacomp Inc., Sr. Sub. Note, 15.000% due
                  11/01/2000..................................      3,866,550
                                                                 ------------
 LEISURE--2.7%
      1,575,000   Gillett Holdings Inc., Sr. Sub. Note,
                  12.250% due 06/30/2002......................      1,683,281
      1,550,000   Remington Arms, Inc., Sr. Sub. Note, 10.500%
                  due 12/01/2003**............................      1,406,625
                                                                 ------------
                                                                    3,089,906
                                                                 ------------
 PERSONAL CARE AND COSMETICS--2.7%
      1,380,000   Revlon Consumer Products Corporation, Sr.
                  Sub. Note, 10.500% due 02/15/2003...........      1,186,800
      4,450,000   Revlon Worldwide Corporation, Sr. Secured
                  Note, Zero coupon due 03/15/1998............      1,891,250
                                                                 ------------
                                                                    3,078,050
                                                                 ------------
 COMMUNICATIONS--1.1%
        450,000   Nextel Communication Inc., Sr. Note, Step up
                  Bond, zero coupon to 09/01/1998, 11.500% due
                  09/01/2003..................................        281,250
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       9
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                                 June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
        FACE                                                        VALUE
       VALUE                                                       (NOTE 1)
 <S> <C>          <C>                                            <C>
 ----------------------------------------------------------------------------
 CORPORATE BONDS AND
 NOTES--(CONTINUED)
 COMMUNICATIONS--(CONTINUED)
     $1,550,000   Pagemart Inc., Unit Discount Note, Zero
                  Coupon due 11/01/2003.......................   $    992,000
                                                                 ------------
                                                                    1,273,250
                                                                 ------------
 AEROSPACE--0.6%
        650,000   Tracor, Inc., Sr. Sub. Note, 10.875% due
                  08/15/2001..................................        665,438
                                                                 ------------
 TOTAL CORPORATE BONDS AND NOTES (Cost $135,413,417)..........    133,093,070
                                                                 ------------
     SHARES
 ----------------------------------------------------------------------------
 PREFERRED STOCK--0.9%
 (COST $1,015,833)
 ----------------------------------------------------------------------------
         29,500   National Intergroup Inc., Series A,
                  Preferred, $4.20                                  1,025,125
                                                                 ------------
 ----------------------------------------------------------------------------
 CONVERTIBLE PREFERRED
 STOCKS--3.0%
 ----------------------------------------------------------------------------
          7,000   Geneva Steel Company, Convertible Preferred,
                  Series B, (Payment-in-kind), Exchangeable,
                  14%.........................................        903,000
         12,727   K-III Communications Corporation, Series A,
                  Convertible Preferred, (Payment-in-kind),
                  Exchangeable, 11.625%**.....................      1,259,957
         25,400   Navistar International Corporation, Series
                  G, Convertible Preferred $6.00..............      1,282,700
                                                                 ------------
 TOTAL CONVERTIBLE PREFERRED STOCKS (Cost $3,513,620).........   $  3,445,657
 ----------------------------------------------------------------------------
 COMMERCIAL PAPER--1.7%
 (COST $1,950,000)
 ----------------------------------------------------------------------------
     $1,950,000   General Electric Capital Corporation, 4.000%
                  due 07/01/1994..............................      1,950,000
                                                                 ------------
 TOTAL INVESTMENTS
 (Cost $141,892,870*)................................   121.4 %   139,513,852
 OTHER ASSETS AND LIABILITIES (Net)..................   (21.4 )%  (24,605,462)
                                                       -------   ------------
 NET ASSETS..........................................   100.0 %  $114,908,390
                                                       -------   ------------
                                                       -------   ------------
 REDEMPTION VALUE OF 7.000% CUMULATIVE PREFERRED STOCK
 (including accumulated undeclared dividend)..................     30,087,500
                                                                 ------------
                                                                 ------------
 NET ASSETS AVAILABLE FOR COMMON SHARES.......................   $ 84,820,890
                                                                 ------------
                                                                 ------------
 COMMON STOCK OUTSTANDING.....................................     13,126,024
                                                                 ------------
                                                                 ------------
 NET ASSET VALUE PER SHARE OF COMMON STOCK....................          $6.46
                                                                         ----
                                                                         ----
<FN>
- ------------
   * Aggregate cost for Federal tax purposes.
  ** Security exempt from registration under Rule 144A of the Securities
     Act of 1933. These securities may be resold in transactions exempt
     from registration to qualified institutional buyers.
 *** Annualized yield to maturity.
 CAD Canadian dollars
 AUD Australian dollars
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       10
<PAGE>
[LOGO]                                         Notes to Portfolio of Investments
                                                       June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
1.  SIGNIFICANT ACCOUNTING POLICIES
 
   Zenix  Income Fund Inc.  (the "Fund") is  a diversified closed-end management
investment company organized as  a Maryland corporation  and is registered  with
the Securities and Exchange Commission under the Investment Company Act of 1940,
as  amended.  The Fund  commenced  operations on  April  27, 1988.  The policies
described below are followed consistently by the Fund in the preparation of  its
financial   statements   in  conformity   with  generally   accepted  accounting
principles.
 
       PORTFOLIO VALUATION:  The net asset  value of the Fund's Common Stock  is
   determined  by The Boston Company Advisors,  Inc. no less frequently than the
   close of business  on the Fund's  last business day  of each week  (generally
   Friday).  It is determined by dividing the  value of the net assets available
   to Common Stock by  the total number of  shares of Common Stock  outstanding.
   For  the purpose of determining  the net asset value  per share of the Common
   Stock, the value of the Fund's net assets shall be deemed to equal the  value
   of  the  Fund's  assets  less  (i)  the  Fund's  liabilities  (including  the
   outstanding principal amount and accrued interest on the Senior Money  Market
   Notes-TM-  due 1995, (ii)  the aggregate liquidation  value (i.e., $1,000 per
   outstanding share)  of  the  7.000%  Cumulative  Redeemable  Preferred  Stock
   ("Cumulative  Preferred Stock"), and (iii) the aggregate and unpaid dividends
   on the outstanding Cumulative Preferred Stock. Portfolio securities that  are
   actively  traded in the over-the-counter  market, including listed securities
   for which the primary market is  believed to be over-the-counter, are  valued
   at the mean between the most recently quoted bid and asked prices provided by
   the  principal market makers. Any security for which the primary market is an
   exchange is valued  at the last  sale price on  such exchange on  the day  of
   valuation  or, if there was no sale on such day, at the last bid price quoted
   on such  day. Securities  and  assets for  which  market quotations  are  not
   readily  available are valued at fair value as determined in good faith by or
   under the  direction  of  the  Board of  Directors  of  the  Fund,  including
   reference  to valuations of other  securities which are considered comparable
   in quality, interest rate and  maturity. Short-term investments which  mature
   in  less than  60 days are  valued at  amortized cost, unless  this method is
   determined by the Fund's Board of Directors not to represent fair value.
 
                                       11
<PAGE>
[LOGO]                             Notes to Portfolio of Investments (Continued)
                                                       June 30, 1994 (Unaudited)
                       ---------------------------------------------------------
 
       PAYMENT-IN-KIND BONDS:   The Fund may  invest in payment-in-kind  ("PIK")
   bonds.  PIK bonds pay interest in cash  or through the issuance of additional
   bonds. PIK bonds  are recorded  at fair value  on the  ex-dividend date.  PIK
   bonds  carry a risk  in that unlike  bonds which pay  interest throughout the
   period to maturity, the Fund will realize no cash until the cash payment date
   unless a portion  of such securities  is sold. If  the issuer of  a PIK  bond
   defaults,  the Fund may obtain no return  at all on its investment. Income is
   recorded as earned on the accrual basis.
 
                                                 Quarterly Results of Operations
- ---------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                                               NET INCREASE
                                                                     NET REALIZED AND           (DECREASE)
                                                                     UNREALIZED GAIN/         IN NET ASSETS
                           INVESTMENT          NET INVESTMENT             (LOSS)                   FROM
                             INCOME                INCOME             ON INVESTMENTS            OPERATIONS
                       -------------------   -------------------   ---------------------   --------------------
                                     PER                   PER                     PER                    PER
 QUARTER ENDED:          TOTAL      SHARE*     TOTAL      SHARE*      TOTAL      SHARE*       TOTAL      SHARE*
 -------------------   ----------   ------   ----------   ------   -----------   -------   -----------   ------
 <S>                   <C>          <C>      <C>          <C>      <C>           <C>       <C>           <C>
 March 31, 1992        $3,615,667    $0.32   $2,953,091    $0.25   $ 4,245,744    $ 0.36   $ 7,198,835    $0.61
 June 30, 1992          4,121,399     0.34    3,428,319     0.29    (1,090,652)    (0.09)    2,337,667     0.20
 September 30, 1992     3,665,498     0.31    3,002,571     0.25     2,480,165      0.21     5,482,736     0.46
 December 31, 1992      3,770,298     0.31    3,077,594     0.25    (1,856,275)    (0.15)    1,221,319     0.10
 March 31, 1993         3,922,025     0.32    3,490,697     0.28     6,602,503      0.54    10,093,200     0.82
 June 30, 1993          3,786,446     0.30    3,149,795     0.25     3,243,982      0.26     6,393,777     0.51
 September 30, 1993     3,745,471     0.29    3,200,066     0.25      (906,601)    (0.07)    2,293,465     0.18
 December 31, 1993      3,631,803     0.28    3,014,890     0.24     2,056,085      0.16     5,070,975     0.40
 March 31, 1994         4,075,066     0.31    3,603,680     0.28    (6,283,635)    (0.48)   (2,679,955)   (0.20)
 June 30, 1994          3,739,209     0.29    3,111,466     0.23    (3,899,320)    (0.30)     (787,854)   (0.07)
</TABLE>
 
- ------------
* Per share of Common Stock.
 
                                       12
<PAGE>
DIRECTORS
Charles F. Barber
Allan J. Bloostein
Martin Brody
Dwight B. Crane
Robert A. Frankel
Heath B. McLendon
 
OFFICERS
Heath B. McLendon
  CHAIRMAN OF THE BOARD
  AND INVESTMENT OFFICER
Stephen J. Treadway
  PRESIDENT
Richard P. Roelofs
  EXECUTIVE VICE PRESIDENT
John C. Bianchi
  VICE PRESIDENT AND
  INVESTMENT OFFICER
Kenneth Egan
  INVESTMENT OFFICER
Lewis E. Daidone
  TREASURER
Christina T. Sydor
  SECRETARY
 
                       This report is sent to the shareholders of the
                                   ZENIX INCOME FUND INC.
                       for their information. It is not a Prospectus,
                     circular or representation intended for use in the
                      purchase or sale of shares of the Fund or of any
                            securities mentioned in the report.



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