ZENIX INCOME FUND INC
N-30B-2, 1994-03-03
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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
                                      DECEMBER 31, 1993
<PAGE>
- ----------------------------
- --------------------------
 
                             ZENIX INCOME FUND INC.
                                     [LOGO]
 
February 21, 1993
 
<TABLE>
 <S>             <C>
 DEAR
 SHAREHOLDER:    We  are pleased to  present the third  quarter report of
                 the Zenix Income Fund Inc. for the period ended December
                 31, 1993. The Fund's primary  objective is to deliver  a
                 consistently  high  level of  current income  with total
                 return a secondary objective. To achieve these goals, we
                 use the consistent and  developed strategy of  investing
                 primarily  in better  quality, higher-yielding corporate
                 bonds that have the potential  to receive an upgrade  in
                 credit  rating over the next one to three years. We have
                 also on occasion  selectively added  attractively-valued
                 convertible  bonds, preferred stock and common stocks to
                 the  portfolio  to  further  enhance  total  return.  By
                 emphasizing  the  improving  credits in  the  high yield
                 market,  we  believe  we   can  generate  not  only   an
                 attractive  current dividend  yield for  the shareholder
                 but some capital appreciation as well.
                 Although the  Fund  attempts to  maintain  a  consistent
                 monthly  dividend, we  do not attempt  to maximize yield
                 regardless of credit risk. We instead attempt to provide
                 a competitive dividend yield with superior total  return
                 over  a full  economic cycle.  Shown below  are relevant
                 statistics for the Fund for the past 12 months.
</TABLE>
 
<PAGE>
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                                        FINANCIAL DATA PER SHARE OF COMMON STOCK
 
<TABLE>
 <S>                     <C>           <C>       <C>           <C>               <C>
                                                                                  Interest
                                                                                  Rate
                          NYSE         Net                     Dividend           On Money
                          Closing      Asset     Dividend      Reinvestment       Market
                          Price        Value     Paid           Price             Notes
  January 31, 1993        $7.375       $6.58      $.0680           $6.65           3.050%
  February 28, 1993        7.125        6.75       .0680            6.77           3.134
  March 31, 1993           7.250        6.86       .0680            6.89           3.180
  April 30, 1993           7.500        6.83       .0680            7.13           3.130
  May 31, 1993             7.375        6.92       .0680            7.13           3.129
  June 30, 1993            7.500        7.11       .0680            7.13           3.250
  July 31, 1993            7.875        7.12       .0680            7.24           3.179
  August 31, 1993          7.625        7.12       .0680            7.36           3.109
  September 30, 1993       7.500        7.04       .0680            7.13           3.109
  October 31, 1993         7.500        7.17       .0680            7.24           3.200
  November 30, 1993        7.625        7.17       .0680            7.24           3.060
  December 31, 1993        7.750        7.21       .0680            7.24           3.090
  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.
</TABLE>
 
<TABLE>
 <S>             <C>
                 Each  registered shareholder is considered a participant
                 in the  Fund's Dividend  Reinvestment Plan,  unless  the
                 shareholder   elects  to   receive  all   dividends  and
                 distributions  in  cash,  or  unless  the  shareholder's
                 shares  are registered in the name  of a broker, bank or
                 nominee (other than  Smith Barney  Shearson Inc.)  which
                 does    not   provide   the   service.   Questions   and
                 correspondence concerning the Dividend Reinvestment Plan
                 should be directed  to The  Shareholder Services  Group,
                 Inc., P.O. Box 1376, Boston, Massachusetts 02104.
</TABLE>
 
                                       2
 
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<PAGE>
- ----------------------------
- --------------------------
 
<TABLE>
 <S>             <C>
                 In  recent  years,  the  Fund  has  benefited  from  the
                 combination of a relatively low cost leverage  structure
                 and   its  high  yielding   investment  portfolio  which
                 enhanced overall total  returns. The  Fund's 1993  total
                 return  of 27.32% on net  asset value compares favorably
                 to the  average total  return  for all  closed-end  high
                 yield  funds of 25.38% (as reported by Lipper Analytical
                 Services,  Inc.,   a  major   mutual  fund   performance
                 monitoring  organization).  The Fund's  total  return of
                 5.18% for the  last three months  lagged the high  yield
                 closed-end  fund average of 6.25%.  We attribute this to
                 our higher-quality orientation and a relatively  lighter
                 weighting  in cyclical companies. We  are in the process
                 of increasing the portfolio's cyclical representation.
                 While the Fund's leverage has had a beneficial impact on
                 performance, we  are content  with its  current  levels.
                 Rather  than increasing the leverage, we are allowing an
                 additional   cushion   to   build   as   the   portfolio
                 appreciates.   We  believe  this  conservative  approach
                 places the Fund in a  more defensible position should  a
                 correction  occur in the  financial markets during 1994.
                 At year-end 1993, the Fund had a leverage ratio of under
                 40%.
                 HIGH YIELD MARKET AND ECONOMIC OVERVIEW
                 The strong  rally of  the  past year  slowed to  a  more
                 moderate  pace during the final  three months of 1993. A
                 combination of  heavy  new issue  supply  pressures  and
                 investor  concern over the pace of the economic recovery
                 caused the market to generate relatively weaker,  though
                 still attractive, results than in prior quarters. By the
                 beginning  of  December,  when it  became  apparent that
                 fourth quarter  economic  growth was  accelerating,  the
                 high  yield market began  to generate improving results.
                 The lower quality sectors of  the market as well as  the
                 more
</TABLE>
 
                                       3
 
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<PAGE>
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<TABLE>
 <S>             <C>
                 cyclical  companies generated the  strongest returns for
                 the period.  It appears  that  the dramatic  decline  in
                 interest  rates  over the  past  three years  is finally
                 having a  noticeable impact  on economic  growth in  the
                 United  States. We  believe that  the economy  will gain
                 strength  in  1994,  and  that  a  number  of   cyclical
                 industries  will  benefit the  most and  demonstrate the
                 greatest improvement in operating results.
                 INVESTMENT STRATEGY
                 Our primary investment strategy remains constant. We  do
                 not   try   to   speculate   or   chase   higher   risk,
                 higher-yielding issues.  We instead  look for  improving
                 credits with the potential for rating upgrades. While it
                 is  true  that the  lower  quality issues  recently have
                 generated stronger  results,  their performance  over  a
                 full market cycle generally has been far inferior to the
                 better  quality  issues  we  tend  to  emphasize  in the
                 portfolio.
                 During the past  six months we  have continued to  shift
                 the  Fund's assets into more cyclical companies that are
                 benefiting from  cost  cutting and  a  competitive  U.S.
                 dollar  versus their foreign  trading partners. The U.S.
                 manufacturing sector in general is much more competitive
                 today and  we  want to  take  advantage of  that  trend.
                 Specifically,  our  focus  has  been  on  the industrial
                 companies  connected   to  the   automobile  and   truck
                 manufacturing  industries  as well  as  residential home
                 builders and their suppliers.  We have also  selectively
                 added steel companies that are key suppliers to the auto
                 and appliance industries, textile and apparel producers,
                 paper  and forest product  companies and basic container
                 producers. Specific com-
                 panies would  include Wheeling  Pittsburgh  Corporation,
                 Republic  Engineered  Steels,  Westpoint  Stevens, Inc.,
                 Domtar, Stelco and Gaylord Container Engineered, to name
                 a few.  The  portfolio has  only  a modest  exposure  to
                 retailers and other consumer-dependent companies because
                 of  the  intense  competition in  those  industries. The
                 portfolio's  only  heavy  retail  exposure  is  in   the
                 regional  grocery chains that  have strong market shares
                 in their territories.
</TABLE>
 
                                       4
 
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<PAGE>
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<TABLE>
 <S>             <C>
                 While we  believe  that  the high  yield  market  should
                 generate superior returns in 1994, we would be remiss if
                 we  didn't also tell  you that we  expect that its total
                 return performance this year will be lower than in 1993.
                 It seems  far more  likely that  the watchword  will  be
                 "earning the coupon" rather than earning the coupon plus
                 capital appreciation.
                 As  we have since the Fund's inception in April 1988, we
                 will endeavor to achieve  our primary goal of  providing
                 shareholders  with a consistently  high level of current
                 income and, secondarily,  achieving an attractive  total
                 return.  If you have any questions about your investment
                 in the  Fund, please  contact The  Shareholder  Services
                 Group,  Inc.  at  (800)  331-1710.  We  appreciate  your
                 continued support and look  forward to reporting to  you
                 in our annual report.
SINCERELY,
               Heath B. McLendon     John C. Bianchi
               Chairman of the       Vice President and
               Board                 Investment Officer
               and Investment
               Officer
</TABLE>
 
                                       5
 
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<PAGE>
                                                        Portfolio of Investments
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
   FACE                                                               VALUE
  VALUE                                                              (NOTE 1)
<C>          <S>                                                   <C>
- -------------------------------------------------------------------------------
 CORPORATE BONDS AND NOTES--111.4%
 PACKAGING AND CONTAINERS--13.4%
 $  925,000   Anchor Glass Container Corporation, Sr. Sub. Deb.,
              9.875% due 12/15/2008...............................   $    957,375
              Container Corporation of America, Sr. Sub. Deb.:
  2,805,000   13.500% due 12/01/1999..............................      3,124,069
  1,495,000   14.000% due 12/01/2001..............................      1,666,925
  1,000,000   Gaylord Container Corporation, 11.50% due
              05/15/2001..........................................      1,068,750
  2,249,000   Riverwood International Corporation, Sr. Sub. Notes,
              11.250% due 06/15/2002..............................      2,457,033
  1,625,000   Silgan Holdings Inc., Sr. Disc. Deb., Step up Bond
              due 06/15/96, 13.250% due 12/15/2002................      1,259,375
  1,050,000   Stone Container Corporation, Sr. Second Note,
              10.250% due 12/15/2000..............................      1,055,250
              Sweetheart Cup Inc., Sr. Sub. Notes:
    725,000   9.625% due 09/01/2000...............................        768,500
    725,000   10.500% due 09/01/2003..............................        764,875
 $2,825,000   United States Can Company, Sr. Sub. Note, 13.500%
              due 01/15/2002......................................   $  3,255,812
                                                                     ------------
                                                                       16,377,964
                                                                     ------------
 BUILDING AND CONSTRUCTION--11.3%
              American Standard Inc.:
  4,000,000   Sr. Deb., 11.375% due 05/15/2004....................      4,470,000
  1,300,000   Sr. Sub. Discount, Step up Bond due 06/01/1988,
              10.500% due 06/01/2005..............................        880,750
  1,350,000   CMI Industries, Sr. Sub Notes, 9.500% due
              10/01/2003..........................................      1,346,625
              Hovnainan K Enterprises Inc.:
  1,100,000   Sr. Sub. Notes, 9.750% due 06/01/2005...............      1,141,250
  1,300,000   Guaranteed Note, 11.250% due 04/15/2002.............      1,420,250
    875,000   Kaufman & Broad Home Corporation, Sr. Sub. Notes,
              9.375% due 05/01/2003...............................        910,000
  1,475,000   UDC Homes, Sr. Notes, 11.750%
              due 04/30/2003......................................      1,570,875
  2,050,000   US Home Corporation, Sr. Notes, 9.750%
              due 06/15/2003......................................      2,142,250
                                                                     ------------
                                                                       13,882,000
                                                                     ------------
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       6
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
    FACE                                                                VALUE
   VALUE                                                               (NOTE 1)
 <C>          <S>                                                    <C>
 --------------------------------------------------------------------------------
 CORPORATE BONDS AND NOTES--(CONTINUED)
 HEALTH CARE--9.9%
 $  800,000   Abbey Healthcare Group, Inc., Sr. Sub. Note, 9.500%
              due 01/01/2002......................................   $    820,000
    500,000   Alco Health Distribution Corporation, Deb. Sr.,
              11.250% due 07/15/2005..............................        528,750
              American Medical International Inc., Sr. Sub. Notes:
  1,830,000   13.500% due 08/15/2001..............................      2,143,387
    825,000   9.500% due 04/15/2006...............................        862,125
  1,675,000   Healthtrust Inc., The Hospital Company, Sub. Notes,
              10.750%
              due 05/01/2002......................................      1,880,187
    700,000   Hillhaven Corporation, Sr. Sub. Notes, 10.125% due
              09/01/2001..........................................        745,500
  3,000,000   Hospital Corporation of America, Sr. Deb., 9.000%
              due 03/15/2016......................................      3,146,250
  1,800,000   Ornda Healthcorp, Sr. Sub. Note, 12.250% due
              05/15/2002..........................................      2,025,000
                                                                     ------------
                                                                       12,151,199
                                                                     ------------
 HOTEL, CASINO AND GAMING--9.2%
  1,300,000   Ballys Park Place Funding Inc., 1st Mortgage,
              11.875% due 08/15/1999..............................      1,407,250
 $1,475,000   GNF Corporation, Guaranteed 1st Mortgage Note,
              10.625% due 04/01/2003..............................   $  1,423,375
    555,000   Red Roof Inns, Inc., Sr. Note, 9.625% due
              12/15/2003**........................................        567,487
    890,000   Santa Fe Hotel Inc., Unit Guaranteed, 11.000% due
              12/15/2000..........................................        916,700
    775,000   Showboat Inc., Guaranteed 1st Mortgage, 9.250% due
              05/01/2008..........................................        794,375
  1,275,000   Station Casinos Inc., Sr. Sub. Note, 9.625% due
              06/01/2003..........................................      1,294,125
  1,825,000   Trump Plaza Funding Inc., 1st Mortgage Note, 10.875%
              due 06/15/2001......................................      1,820,438
  3,006,000   Trump Taj Mahal Fund, Unit Building 1 Management,
              (Pay-In-Kind), 11.350% due 11/15/1999...............      3,036,060
                                                                     ------------
                                                                       11,259,810
                                                                     ------------
 FOOD--7.3%
    500,000   Americold Corporation, 1st Mortgage, Series B,
              11.500% due 03/01/2005..............................        503,750
  1,100,000   Big V Supermarket Inc., Sr. Sub. Note, 11.000% due
              02/15/2004**........................................      1,106,875
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       7
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
    FACE                                                                VALUE
   VALUE                                                               (NOTE 1)
 <C>          <S>                                                    <C>
 --------------------------------------------------------------------------------
 CORPORATE BONDS AND NOTES--(CONTINUED)
 FOOD--(CONTINUED)
 $1,075,000   Grand Union Corporation,
              Sr. Note, 11.250% due 07/15/2000....................   $  1,132,781
  1,000,000   P & C Food Markets, Inc.,
              Sr. Note, 11.500% due 10/15/2001....................      1,135,000
              Pathmark Stores, Inc.:
  1,275,000   Sub. Note, 11.625% due 06/15/2002...................      1,408,875
  1,250,000   Sr. Sub. Note, 9.625% due 05/01/2003................      1,250,000
  1,615,000   Penn Traffic Company, Sr.
              Sub. Note, 9.625%
              due 04/15/2005......................................      1,681,619
    700,000   PMI Acquisition Corporation, Sr. Sub. Note, 10.250%
              due 09/01/2003......................................        744,625
                                                                     ------------
                                                                        8,963,525
                                                                     ------------
 COMMUNICATION AND BROADCASTING--6.7%
    475,000   Centennial Cellular Corporation, Sr. Note, 8.875%
              due 11/01/2001......................................        472,625
              Continental Cablevision Inc.,
              Sr. Sub. Note:
  1,225,000   9.500% due 08/01/2013...............................      1,372,000
    625,000   11.000% due 06/01/2007..............................        734,375
  3,500,000   Paging Network, Inc., Sr. Sub. Note, 11.750% due
              05/15/2002..........................................      3,963,750
 $  900,000   Rogers Cablesystems Ltd., Sr. Secured 2nd Priority
              Deb., 10.125% due 09/01/2012........................   $  1,026,000
    625,000   Rogers Communications Inc., Sr. Deb., 10.875% due
              04/15/2004..........................................        696,875
                                                                     ------------
                                                                        8,265,625
                                                                     ------------
 INSURANCE--6.1%
  1,200,000   Bankers Life Holding Corporation,
              Sr. Sub. Note,
              Series B, 13.000%
              due 11/01/2002......................................      1,431,000
  2,100,000   Life Partners Group, Inc., Sr.
              Sub. Note, 12.750%
              due 07/15/2002......................................      2,457,000
              Reliance Group Holdings, Inc.,
              Sr. Note:
  1,450,000   9.000% due 11/15/2000...............................      1,469,938
  2,000,000   9.750% due 11/15/2003...............................      2,070,000
                                                                     ------------
                                                                        7,427,938
                                                                     ------------
 CHEMICALS--5.8%
    650,000   Buckeye Celluose Corporation, Sr. Note, 10.250%
              due 05/15/2001......................................        684,125
  1,800,000   General Chemical Corporation, Sr. Secured Note,
              14.000% due 11/01/1998..............................      2,007,000
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       8
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
    FACE                                                                VALUE
   VALUE                                                               (NOTE 1)
 <C>          <S>                                                    <C>
 --------------------------------------------------------------------------------
 CORPORATE BONDS AND NOTES--(CONTINUED)
 CHEMICALS--(CONTINUED)
 $1,100,000   Harris Chemical North American, Inc., 10.750% due
              10/15/2003..........................................   $  1,161,875
    950,000   Methanex Corporation, Sr. Secured Note, 8.875% due
              11/15/2001..........................................        982,063
              UCC Investors Holding Inc.:
    550,000   Sr. Notes, 10.500% due 05/01/2002...................        599,500
  1,500,000   Sr. Sub. Note, 11.000% due 05/01/2003...............      1,635,000
                                                                     ------------
                                                                        7,069,563
                                                                     ------------
 METALS AND MINING--5.0%
  1,000,000   Essex Group Inc., Sr. Note, 10.000% due
              05/01/2003..........................................      1,015,000
    700,000   Jorgensen, (Earle M.) Company,
              Sr. Notes, 10.750%
              due 03/01/2000......................................        747,250
  1,450,000   Republic Engineered Steels Mtg., 9.875%
              due 12/15/2001......................................      1,473,563
    550,000   WCI Steel Inc.,
              Sr. Note, 10.500% due 03/01/2002**..................        574,750
  2,300,000   Wheeling Pittsburgh Corporation,
              Sr. Note, 9.375%
              due 11/15/2003......................................      2,380,500
                                                                     ------------
                                                                        6,191,063
                                                                     ------------
 ENERGY--4.2%
 $1,350,000   Maxus Energy Corporation, 9.375% due 11/01/2003.....   $  1,329,750
  2,440,000   Transco Energy Company, Note,
              Sr. Notes, 11.250%
              due 07/01/1999......................................      2,769,400
    975,000   Trident NGL Inc., Sub. Note, 10.250% due
              04/15/2003..........................................      1,027,406
                                                                     ------------
                                                                        5,126,556
                                                                     ------------
 PUBLISHING--4.1%
  3,460,000   Anacomp Inc., Sr. Sub. Note, 15.000% due
              11/01/2000..........................................      3,991,975
  1,950,000   Bell & Howell Holdings Company, Deb., Series A, Step
              up Bond due 03/01/2000, 11.500% due 03/01/2005......      1,084,687
                                                                     ------------
                                                                        5,076,662
                                                                     ------------
 AUTOMOBILE MANUFACTURING--3.9%
              Chrysler Financial Corporation:
    950,000   Note, 13.250%
              due 10/15/1999......................................      1,268,250
  2,150,000   Sr. Notes, 12.750% due 11/01/1999...................      2,816,500
    650,000   Fairfield MFG Inc., Sr. Sub. Note, 11.375% due
              07/01/2001..........................................        686,563
                                                                     ------------
                                                                        4,771,313
                                                                     ------------
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       9
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
    FACE                                                                VALUE
   VALUE                                                               (NOTE 1)
 <C>          <S>                                                    <C>
 --------------------------------------------------------------------------------
 CORPORATE BONDS AND NOTES--(CONTINUED)
 PERSONAL CARE/COSMETICS--3.5%
 $1,380,000   Revlon Consumer Products Corporation, Sr. Sub. Note,
              10.500% due 02/15/2003..............................   $  1,342,050
  5,750,000   Revlon Worldwide Corporation, Sr. Secured Note, Zero
              coupon due 03/15/1998...............................      2,946,875
                                                                     ------------
                                                                        4,288,925
                                                                     ------------
 CONSUMER DURABLES--3.3%
  1,500,000   Coleman Holdings, Inc.,
              Zero coupon due 05/27/1998..........................        986,250
  5,825,000   International Semi-Tech, Sr. Note, Step up Bond due
              08/15/2000, 11.500% due 08/15/2003..................      3,101,812
                                                                     ------------
                                                                        4,088,062
                                                                     ------------
 TRANSPORTATION--3.2%
  1,625,000   South Pacific Transportation Company, 10.500% due
              07/01/1999..........................................      1,824,063
              USAir Inc.:
    675,000   Guaranteed Sr. Note, 10.000%
              due 07/01/2003......................................        648,000
    550,000   A P/T Certificate Class 2, 9.625%
              due 09/01/2003......................................        548,625
    900,000   Viking Star Shipping, Inc., 9.625% due 07/15/2003...        923,625
                                                                     ------------
                                                                        3,944,313
                                                                     ------------
 RETAIL--3.1%
 $1,450,000   Barnes & Noble Inc., Sr. Sub. Note, 11.875% due
              01/15/2003..........................................   $  1,667,500
  1,500,000   Bradlees Inc., Sr. Sub. Note, 11.000% due
              08/01/2002..........................................      1,621,875
    525,000   Wickes Lumber Company, Sr. Sub. Note, 11.625%
              due 12/15/2003......................................        536,812
                                                                     ------------
                                                                        3,826,187
                                                                     ------------
 TEXTILES AND APPAREL--2.2%
    650,000   J.P. Stevens & Company, Inc., Debenture, 9.000% due
              03/01/2017..........................................        650,000
  2,000,000   Westpoint Stevens Inc., Sr. Sub., 9.375% due
              12/15/2005..........................................      2,035,000
                                                                     ------------
                                                                        2,685,000
                                                                     ------------
 PAPER AND FOREST PRODUCTS--1.9%
  2,175,000   Fort Howard Corporation, Sub. Deb, 12.625% due
              11/01/2000..........................................      2,278,312
                                                                     ------------
 LEISURE--1.9%
  1,575,000   Gillett Holdings Inc., Sr. Sub. Note, 12.250% due
              06/30/2002..........................................      1,718,719
    600,000   Remington Arms, Inc., New Sr. 9.500% due
              12/01/2003**........................................        610,500
                                                                     ------------
                                                                        2,329,219
                                                                     ------------
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       10
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
   FACE                                                               VALUE
  VALUE                                                              (NOTE 1)
<C>          <S>                                                   <C>
- -------------------------------------------------------------------------------
 CORPORATE BONDS AND NOTES--(CONTINUED)
FINANCIAL SERVICES--1.6%
$  750,000   Coldwell Banker Corporation, 10.250% due
             06/30/2003**.......................................   $    795,000
 1,100,000   Lomas Mortgage USA, Inc., Sr. Note, 10.250% due
             10/01/2002.........................................      1,160,500
                                                                   ------------
                                                                      1,955,500
                                                                   ------------
ELECTRIC UTILITY--1.2%
 1,350,000   Midland Funding Corporation I, Sr. Secured Note,
             Series C, 10.330% due 07/23/2002**.................      1,410,750
                                                                   ------------
SECURITY SERVICES--0.8%
 1,000,000   ADT Operations Inc., Guaranteed Sr. Sub. Note,
             9.250% due 08/01/2003..............................      1,027,500
                                                                   ------------
CONGLOMERATE--0.7%
   900,000   Federal Industries Ltd., CDA, Sr. Note, 10.250% due
             06/15/2000.........................................        931,500
                                                                   ------------
AEROSPACE AND DEFENSE--0.6%
   650,000   Tracor, Inc., Sr.
             Sub. Notes, 10.875%
             due 08/15/2001.....................................        684,125
                                                                   ------------
OIL AND GAS--0.5%
   650,000   Giant Industries Inc., Guaranteed Sr. Sub. Note,
             9.750% due 11/15/2003..............................        667,875
                                                                   ------------
             TOTAL CORPORATE BONDS AND NOTES (Cost
             $129,533,979)......................................    136,680,486
                                                                   ------------
  SHARES
CONVERTIBLE PREFERRED STOCKS--6.6%
- -------------------------------------------------------------------------------
       500   Dime Savings Bank, FSB, Preferred Exchangeable
             10.500%............................................   $    525,000
    12,018   K-III Communications Corporation, Series A, Cnv.
             Pfd. Exch. 11.625%.................................      1,231,864
    22,450   Navistar International Corporation, Series G,
             Convertible $6.00..................................      1,201,075
   106,750   Unisys Corporation, Series A, Cnv. Pfd. $3.75......      5,164,031
                                                                   ------------
             TOTAL CONVERTIBLE PREFERRED STOCKS (Cost
             $7,704,130)........................................      8,121,970
- -------------------------------------------------------------------------------
   FACE
  VALUE
- -------------------------------------------------------------------------------
COMMERCIAL PAPER--1.4%
- ------------------------------
(Cost $1,643,000)
- -------------------------------------------------------------------------------
$1,643,000   General Electric Capital Corporation, 2.700% due
             01/03/1994.........................................      1,643,000
                                                                   ------------
</TABLE>
 
<TABLE>
 <S>                                                   <C>       <C>
 TOTAL INVESTMENTS
 (Cost $138,881,109*)................................  119.4%    $146,445,456
                                                                 ------------
</TABLE>
 
                     See Notes to Portfolio of Investments.
 
                                       11
<PAGE>
                                            Portfolio of Investments (Continued)
[LOGO]                                             December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                      VALUE
                                                                     (NOTE 1)
<C>          <S>                                                   <C>
- -------------------------------------------------------------------------------
 OTHER ASSETS AND LIABILITIES (Net)..................  (19.4)%   $(23,795,539)
                                                       -------   ------------
 NET ASSETS..........................................  100.0%    $122,649,917
                                                       -------   ------------
                                                       -------   ------------
 REDEMPTION VALUE OF 7.000% CUMULATIVE PREFERRED STOCK
 (including accumulated undeclared dividend)..................     30,087,500
                                                                 ------------
 NET ASSETS AVAILABLE FOR COMMON SHARES.......................   $ 92,562,417
                                                                 ------------
                                                                 ------------
 COMMON STOCK OUTSTANDING.....................................     12,843,400
                                                                 ------------
                                                                 ------------
 NET ASSET VALUE PER SHARE OF COMMON STOCK....................          $7.21
                                                                         ----
                                                                         ----
</TABLE>
 
- ------------
 *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.
 
                     See Notes to Portfolio of Investments.
 
                                       12
<PAGE>
[LOGO]                                         Notes to Portfolio of Investments
                                                   December 31, 1993 (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. ("Boston Advisors") 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  ("7.000%  Cumulative  Preferred  Stock"),  and  (iii)  the
   aggregate 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  Board of Directors not to represent
   fair value.
 
                                       13
<PAGE>
[LOGO]                             Notes to Portfolio of Investments (Continued)
                                                   December 31, 1993 (Unaudited)
                       ---------------------------------------------------------
 
                                                 Quarterly Results of Operations
- ---------------------------------------------------------
 
<TABLE>
<CAPTION>
                                                                     NET REALIZED AND       NET INCREASE
                                                                     UNREALIZED GAIN/        (DECREASE)
                                                                                         IN NET ASSETS FROM
                               INVESTMENT        NET INVESTMENT           (LOSS)
                                 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>
 June 30, 1991...........  $3,977,508   $0.35  $3,159,003   $0.28  $ 4,630,179   $ 0.41  $ 7,789,182   $0.69
 September 30, 1991......   3,778,229    0.33   3,111,696    0.27   (1,624,708)   (0.14)   1,486,988    0.13
 December 31, 1991.......   4,034,248    0.34   3,270,263    0.28    2,221,574     0.19    5,491,837    0.47
 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
</TABLE>
 
- ------------
* Per share of Common Stock.
 
                                       14
<PAGE>
DIRECTORS
Charles F. Barber
Allan J. Bloostein
Martin Brody
Dwight B. Crane
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
Vincent Nave
  TREASURER
Francis J. McNamara, III
  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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