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                                  UNITED STATES

                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                   FORM N-CSR

   CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT INVESTMENT COMPANIES

                  Investment Company Act file number   811-1743

                                  Spectra Fund
               (Exact name of registrant as specified in charter)

                    111 Fifth Avenue New York, New York 10003
               (Address of principal executive offices) (Zip code)

                              Mr. Frederick A. Blum

                           Fred Alger Management, Inc.

                                111 Fifth Avenue

                            New York, New York 10003
                     (Name and address of agent for service)

Registrant's telephone number, including area code:212-806-8800

Date of fiscal year end: October 31

Date of reporting period: April 30, 2004


                                              Item 1. Report(s) to Stockholders.



                                  SPECTRA FUND






                               SEMI-ANNUAL REPORT
                                 APRIL 30, 2004
                                   (UNAUDITED)


                              [ALGER LOGO OMITTED]




Dear Shareholders,                                                 June 10, 2004


      Early in 2004, the economy  shifted into high gear. In addition to some of
the  strongest  economic  data  in  four  years,  benchmark  corporate  earnings
consistently beat Wall Street's  expectations.  Consumer  spending  continued to
fuel various aspects of the economy;  industrial  production soared; and after a
multi-year drought, companies began to ramp up their spending.

      The housing market also remained  strong,  as people took advantage of low
interest  rates.  Even the employment  situation  improved,  although job growth
lagged the economic  recovery  and did not begin to show signs of real  strength
until March.

      The equity markets,  however,  had an ambivalent  reaction to the positive
economic  data.  Initially,  there was some  exuberance,  and the  markets  rose
steadily  through  February.  Then,  the difficult  situation in Iraq, oil price
increases,  and a fear of rising  interest  rates led to a cooling  of  investor
sentiment.  Even with the  pullback in early  spring,  for the six months  ended
April 30, 2004, the Dow rose 5.43%, the S&P 500 was up 6.27%, and the NASDAQ was
down .42%.

      Looking ahead,  as we enter the heart of the 2004  presidential  election,
politics and  international  security  will dominate the  headlines,  along with
high-profile events such as the Democratic and Republican Party conventions, the
2004 Olympic Games in Athens,  and the transition of power in Iraq. It is likely
that these events will continue to distract investors.

      Nevertheless,  we believe that the economy and the markets  remain strong.
Rising  interest  rates may have a short-term  dampening  effect,  but we expect
growth over the next six months to be very strong. In fact, we believe that many
of the growth  companies we follow will  experience as much as 15% to 25% annual
earnings  growth  between  2004  and  2006.  Over  time,  shareholders  of those
companies should reap the benefits of that growth.

      Finally, we want to thank you for the confidence you have placed in Alger.
It is our  goal  not only to find  the  best  investments  for you,  but also to
continue to earn your trust in every aspect of our business.

      Respectfully submitted,

      /s/ Dan C. Chung

      Dan C. Chung
      Chief Investment Officer




SPECTRA FUND
SCHEDULE OF INVESTMENTS (UNAUDITED)
April 30, 2004

    SHARES     COMMON STOCKS--97.9%                                     VALUE
   ---------                                                           --------
               BIOTECHNOLOGY--12.3%
      98,000   Biogen Idec Inc.* ................................   $ 5,782,000
      99,200   Genentech, Inc.* .................................    12,181,760
      49,100   Invitrogen Corporation* ..........................     3,546,493
     234,900   Millennium Pharmaceuticals, Inc.* ................     3,521,151
      28,800   OSI Pharmaceuticals, Inc.* .......................     2,125,152
      49,600   Protein Design Labs, Inc.* .......................     1,214,208
      70,450   QLT Inc.*+ .......................................     1,900,036
                                                                    -----------
                                                                     30,270,800
                                                                    -----------
               COMMERCIAL SERVICES & SUPPLIES--2.5%
      32,700   Apollo Group, Inc. Cl. A* ........................     2,971,776
      31,700   First Data Corporation ...........................     1,438,863
      70,100   Monster Worldwide Inc.* ..........................     1,795,261
                                                                    -----------
                                                                      6,205,900
                                                                    -----------
               COMMUNICATION EQUIPMENT--7.4%
     164,900   Advanced Fibre Communications, Inc.* .............     2,753,830
     491,700   Brocade Communications Systems, Inc.* ............     1,789,575
     322,000   CIENA Corporation* ...............................     1,333,080
     304,700   Cisco Systems, Inc.* .............................     6,359,089
     443,200   Corning Incorporated* ............................     4,888,496
      52,300   Sierra Wireless Inc.* ............................     1,168,905
                                                                    -----------
                                                                     18,292,975
                                                                    -----------
               COMPUTER SOFTWARE--.7%
      78,000   Check Point Software Technologies Ltd.* ..........     1,827,540
                                                                    -----------
               COMPUTER TECHNOLOGY--1.9%
      45,400   Gentex Corp. .....................................     1,785,582
      32,100   Research in Motion Limited* ......................     2,784,996
                                                                    -----------
                                                                      4,570,578
                                                                    -----------
               CONSUMER FINANCE--1.4%
      53,100   Capital One Financial Corporation ................     3,479,643
                                                                    -----------
               DIVERSIFIED FINANCIAL SERVICES--1.6%
      83,000   Citigroup Inc. ...................................     3,991,470
                                                                    -----------
               ELECTRONIC EQUIPMENT & INSTRUMENTS--2.3%
     192,900   Celestica Inc.* ..................................     3,391,182
     187,200   Symbol Technologies, Inc. ........................     2,246,400
                                                                    -----------
                                                                      5,637,582
                                                                    -----------
               FINANCIAL SERVICES--.7%
      35,900   Piper Jaffray Companies, Inc.* ...................     1,738,278
                                                                    -----------
               HEALTH CARE EQUIPMENT & SUPPLIES--6.2%
     135,200   Boston Scientific Corporation* ...................     5,568,888
      69,200   Guidant Corporation ..............................     4,360,292
      22,200   Varian Medical Systems, Inc.* ....................     1,905,648
      42,600   Zimmer Holdings, Inc.* ...........................     3,401,610
                                                                    -----------
                                                                     15,236,438
                                                                    -----------



                                       2


SPECTRA FUND
SCHEDULE OF INVESTMENTS (UNAUDITED) (CONTINUED)
April 30, 2004

    SHARES     COMMON STOCKS (CONTINUED)                                VALUE
   ---------                                                           --------
               HEALTH CARE PROVIDERS & SERVICES--6.7%
      37,800   Aetna Inc. .......................................   $ 3,127,950
      42,100   Anthem, Inc.* ....................................     3,729,218
      47,600   Oxford Health Plans, Inc. ........................     2,591,344
      67,400   PacifiCare Health Systems, Inc.*+ ................     2,410,224
      55,400   Quest Diagnostics Incorporated ...................     4,672,990
                                                                    -----------
                                                                     16,531,726
                                                                    -----------
               HOTELS, RESTAURANTS & LEISURE--3.1%
      49,000   Alliance Gaming Corporation* .....................     1,223,530
     102,950   International Game Technology ....................     3,885,333
      61,100   Royal Caribbean Cruises Ltd.+ ....................     2,476,383
                                                                    -----------
                                                                      7,585,246
                                                                    -----------
               INFORMATION TECHNOLOGY SERVICES--.9%
      50,100   Cognizant Technology Solutions Corporation
                 Cl. A* .........................................     2,167,326
                                                                    -----------
               INSURANCE--1.4%

      49,500   AFLAC INCORPORATED ...............................     2,090,385
      17,500   MGIC Investment Corporation ......................     1,288,350
                                                                    -----------
                                                                      3,378,735
                                                                    -----------
               INTERNET & CATALOG RETAIL--6.8%
     139,600   eBay Inc.* .......................................    11,142,872
     112,800   NetFlix Inc.*+ ...................................     2,852,712
     117,600   Priceline.com*+ ..................................     2,849,448
                                                                    -----------
                                                                     16,845,032
                                                                    -----------
               INTERNET SOFTWARE & SERVICES--4.5%
     220,300   Yahoo! Inc. * ....................................    11,116,338
                                                                    -----------
               MACHINERY--1.0%
      64,800   Dover Corporation ................................     2,593,944
                                                                    -----------
               MEDIA--6.4%
     116,900   Disney (Walt) Company ............................     2,692,207
      42,100   Pixar, Inc.*+ ....................................     2,875,430
     298,100   Time Warner Inc.* ................................     5,014,042
     218,900   XM Satellite Radio Holdings Inc. Cl. A* ..........     5,244,844
                                                                    -----------
                                                                     15,826,523
                                                                    -----------
               PHARMACEUTICALS--8.0%
      47,800   Allergan, Inc. ...................................     4,208,790
     160,600   King Pharmaceuticals, Inc.* ......................     2,770,350
     254,080   Pfizer Inc. ......................................     9,085,901
      60,500   Teva Pharmaceutical Industries Ltd. ADR+# ........     3,724,380
                                                                    -----------
                                                                     19,789,421
                                                                    -----------


                                       3


SPECTRA FUND
SCHEDULE OF INVESTMENTS (UNAUDITED) (CONTINUED)
April 30, 2004

    SHARES     COMMON STOCKS (CONTINUED)                                VALUE
   ---------                                                           --------
               SEMICONDUCTORS & SEMICONDUCTOR
                 EQUIPMENT--9.0%
     137,200   Applied Materials, Inc.* .........................  $  2,501,156
     200,900   Broadcom Corporation Cl. A * .....................     7,585,984
     303,600   Kulicke & Soffa Industries Inc.*+ ................     3,014,748
     138,900   Micron Technology, Inc.* .........................     1,891,818
     113,500   National Semiconductor Corporation* ..............     4,629,665
      86,500   Novellus Systems, Inc. * .........................     2,505,040
                                                                   ------------
                                                                     22,128,411
                                                                   ------------
               SOFTWARE--6.9%
     194,400   Microsoft Corporation ............................     5,048,568
     372,400   Oracle Corporation* ..............................     4,178,328
     345,200   Red Hat, Inc.*+ ..................................     7,839,492
                                                                   ------------
                                                                     17,066,388
                                                                   ------------
               SPECIALTY RETAIL--4.2%
      90,600   Aeropostale, Inc.* ...............................     1,992,294
      69,300   Bed Bath & Beyond Inc.* ..........................     2,572,416
     111,000   Home Depot, Inc. .................................     3,906,090
      20,400   Sharper Image Corporation*+ ......................       623,424
      32,100   Tiffany & Co. ....................................     1,251,900
                                                                   ------------
                                                                     10,346,124
                                                                   ------------
               TEXTILES, APPAREL & LUXURY GOODS--1.4%
      78,600   Coach, Inc.* .....................................     3,348,360
                                                                   ------------
               WIRELESS TELECOMMUNICATION SERVICES--.6%
      38,100   SpectraSite, Inc.* ...............................     1,423,797
                                                                   ------------
               Total Common Stocks
                 (Cost $215,186,349) ............................   241,398,575
                                                                   ------------
               SHORT-TERM INVESTMENTS--11.0%
  27,135,634   Security Lending Quality Trust
                 (Cost $27,135,634)(b) ..........................    27,135,634
                                                                   ------------
Total Investments
  (Cost $242,321,983)(a) ..............................    108.9%   268,534,209
Liabilities in Excess of Other Assets .................     (8.9)   (21,864,571)
                                                          ------   ------------
Net Assets ............................................   100.00%  $246,669,638
                                                          ======   ============

- ------------------
*   Non-income producing security.
+   Securities partially or fully on loan.
#   American Depositary Receipts.
(a) At April 30, 2004, the net unrealized appreciation on investments,  based on
    cost  for  federal  income  tax  purposes  of   $242,419,847,   amounted  to
    $26,114,362  which consisted of aggregate gross  unrealized  appreciation of
    $37,609,520 and aggregate gross unrealized depreciation of $11,495,158.
(b) Represents investment of cash collateral received for securities on loan.

                       See Notes to Financial Statements.


                                       4





                      (This Page Intentionally Left Blank)






SPECTRA FUND
FINANCIAL HIGHLIGHTS
FOR A SHARE OUTSTANDING
THROUGHOUT THE PERIOD



                                                       INCOME FROM
                                                  INVESTMENT OPERATIONS
                                             -------------------------------
                                                                    NET
                                                                 REALIZED                     DISTRIBUTIONS
                             NET ASSET           NET          AND UNREALIZED       TOTAL          FROM
                              VALUE,          INVESTMENT        GAIN (LOSS)        FROM            NET
                             BEGINNING          INCOME              ON          INVESTMENT      REALIZED
                             OF PERIOD          (LOSS)          INVESTMENTS     OPERATIONS        GAINS
                             ---------          ------          -----------     ----------        -----
                                                                                  
SPECTRA FUND
CLASS A (i)
Six Months Ended
  4/30/04(ii)(vi)..          $    5.90       $  (0.05)(iv)       $   0.09        $   0.04        $    --
Year ended 10/31/03               4.76          (0.08)(iv)           1.22            1.14             --
Year ended 10/31/02               6.32          (0.09)(iv)          (1.47)          (1.56)            --
Year ended 10/31/01              10.63          (0.08)(iv)          (3.60)          (3.68)         (0.63)
Four months ended
  10/31/00(ii)                   12.28          (0.02)              (1.63)          (1.65)            --

CLASS N (iii)
Six Months Ended
  4/30/04(ii)(vi)..          $    5.88       $  (0.05)(iv)       $   0.09        $   0.04        $    --
Year ended 10/31/03               4.76          (0.07)(iv)           1.19            1.12             --
Year ended 10/31/02               6.32          (0.09)(iv)          (1.47)          (1.56)            --
Year ended 10/31/01              10.63          (0.08)(iv)          (3.60)          (3.68)         (0.63)
Year ended 10/31/00              10.76          (0.08)               0.88            0.80          (0.93)
Year ended 10/31/99               6.65          (0.07)               4.22            4.15          (0.04)


- -------------------
(i)   Initially offered July 1, 2000.
(ii)  Ratios have been annualized; total return has not been annualized.
(iii) Per share data has been  adjusted to reflect the effect of a 3 for 1 stock
      split which occurred April 23, 1999.
(iv)  Amount was computed based on average shares outstanding during the period.
(v)   Does not reflect the effect of any sales charge.
(vi)  Unaudited.


                       See Notes to Financial Statements.


                                       6




                                                     RATIOS/SUPPLEMENTAL DATA
                                   -----------------------------------------------------------
                                   NET ASSETS,                   RATIO OF NET
                                     END OF         RATIO OF      INVESTMENT
  NET ASSET                          PERIOD         EXPENSES     INCOME (LOSS)
 VALUE, END                          (000'S        TO AVERAGE     TO AVERAGE       PORTFOLIO
  OF PERIOD      TOTAL RETURN       OMITTED)       NET ASSETS     NET ASSETS     TURNOVER RATE
  ---------      ------------       --------       ----------     ----------     -------------

                                                                      
$    5.94           0.68%(v)        $  5,807          1.97%         (1.56)%           69.91%
     5.90          23.95(v)            6,346          2.01          (1.35)           192.19
     4.76         (24.68)(v)           6,722          1.98          (1.52)           172.25
     6.32         (36.20)(v)          12,951          1.88          (1.03)           114.75

    10.63         (13.44)(v)          14,711          1.82          (1.05)           118.82



$    5.92           0.68%           $240,863          1.97%         (1.56)%           69.91%
     5.88          23.53             257,337          2.03          (1.39)           192.19
     4.76         (24.68)            252,620          1.98          (1.52)           172.25
     6.32         (36.20)            423,860          1.88          (0.99)           114.75
    10.63           6.21             876,132          1.82          (1.29)           118.82
    10.76          62.66             548,656          1.85          (1.52)           102.54



                                       7


SPECTRA FUND
STATEMENT OF ASSETS AND LIABILITIES (UNAUDITED)
APRIL 30, 2004



                                                                              
ASSETS:
   Investments in securities, at value (cost $242,321,983)--
     see accompanying schedule of investments (value of
     securities loaned*) ........................................                   $268,534,209
   Cash .........................................................                         36,967
   Receivable for investment securities sold ....................                     16,532,755
   Receivable for shares of beneficial interest sold ............                        194,488
   Dividends receivable .........................................                         34,726
   Prepaid expenses .............................................                         13,803
                                                                                    ------------
       Total Assets .............................................                    285,346,948
LIABILITIES:
   Payable for securities loaned ................................   $ 27,135,634
   Payable for investment securities purchased ..................      6,833,229
   Bank loan ....................................................      3,400,000
   Payable for shares of beneficial interest redeemed ...........        808,128
   Investment advisory fees payable .............................        328,024
   Shareholder servicing fees payable ...........................         54,671
   Transfer agent fees payable ..................................         18,464
   Interest payable .............................................          4,175
   Trustees' fees payable .......................................          4,488
   Accrued expenses .............................................         90,497
                                                                    ------------
       Total Liabilities ........................................                     38,677,310
                                                                                    ------------
NET ASSETS ......................................................                   $246,669,638
                                                                                    ============
NET ASSETS CONSIST OF:
   Paid-in capital ..............................................                   $527,446,378
   Undistributed net investment income (accumulated loss) .......                     (2,090,639)
   Undistributed net realized gain (accumulated loss) ...........                   (304,898,327)
   Net unrealized appreciation (depreciation) of investments ....                     26,212,226
                                                                                    ------------
NET ASSETS ......................................................                   $246,669,638
                                                                                    ============

Class A
   Net Asset Value Per Share ....................................                   $       5.94
                                                                                    ============
   Offering Price Per Share .....................................                   $       6.30
                                                                                    ============
Class N
   Net Asset Value and Offering Price Per Share .................                   $       5.92
                                                                                    ============

Shares of beneficial interest outstanding--Note 5
   Class A ......................................................                        977,117
                                                                                    ============
   Class N ......................................................                     40,664,414
                                                                                    ============
*Value of securities loaned .....................................                   $ 25,674,787
                                                                                    ============



                       See Notes to Financial Statements.


                                       8


SPECTRA FUND
STATEMENT OF OPERATIONS (UNAUDITED)
FOR THE SIX MONTHS  ENDED APRIL 30, 2004



                                                                              
INVESTMENT INCOME:
   Income:
     Dividends ..................................................                   $    515,010
     Stock loan income ..........................................                         17,958
     Interest ...................................................                          5,946
                                                                                    ------------
       Total Income .............................................                        538,914
   Expenses:
     Investment advisory fees--Note 2(a) ........................   $  2,004,395
     Shareholder servicing fees--Note 2(e) ......................        334,066
     Transfer agent fees ........................................        110,253
     Interest expense ...........................................         32,739
     Custodian fees .............................................         19,517
     Registration fees ..........................................         20,979
     Trustees' fees .............................................         21,081
     Professional fees ..........................................         24,872
     Miscellaneous ..............................................         61,651
                                                                    ------------
       Total Expenses ...........................................                      2,629,553
                                                                                    ------------
NET INVESTMENT LOSS .............................................                     (2,090,639)
REALIZED AND UNREALIZED GAIN (LOSS)
   ON INVESTMENTS:
Net realized gain on investments ................................     14,299,823
Net change in unrealized appreciation (depreciation)
   on investments ...............................................     (9,657,506)
                                                                    ------------
       Net realized and unrealized gain on investments ..........                      4,642,317
                                                                                    ------------
NET INCREASE IN NET ASSETS RESULTING FROM
   OPERATIONS ...................................................                   $  2,551,678
                                                                                    ============



                       See Notes to Financial Statements.


                                       9


SPECTRA FUND
STATEMENTS OF CHANGES IN NET ASSETS



                                                                       SIX MONTHS
                                                                          ENDED            YEAR ENDED
                                                                      APRIL 30, 2004       OCTOBER 31,
                                                                       (UNAUDITED)            2003
                                                                      -------------       -------------
                                                                                    
Net investment loss ...............................................   $  (2,090,639)      $  (3,476,757)
Net realized gain on investments and written options ..............      14,299,823          13,487,096
Net change in unrealized appreciation (depreciation)
   on investments and written options .............................      (9,657,506)         43,757,463
                                                                      -------------       -------------
    Net increase in net assets resulting
       from operations ............................................       2,551,678          53,767,802
Decrease from shares of beneficial interest transactions:
  Class A .........................................................        (601,327)         (3,263,446)
  Class N .........................................................     (18,962,801)        (46,164,533)
                                                                      -------------       -------------
Net decrease from shares of beneficial
   interest transactions--Note 5 ..................................     (19,564,128)
                                                                      -------------       -------------
      Total increase (decrease) in net assets .....................     (17,012,450)          4,339,823
Net assets:
  Beginning of period .............................................     263,682,088         259,342,265
                                                                      -------------       -------------
  End of period (including accumulated net investment losses
     of $2,090,639 and $0, respectively) ..........................   $ 246,669,638       $ 263,682,088
                                                                      =============       =============



                       See Notes to Financial Statements.


                                       10


SPECTRA FUND
NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1--SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES:

      Spectra Fund (the "Fund") is a diversified open-end registered  investment
company  organized  as a business  trust under the laws of the  Commonwealth  of
Massachusetts. The Fund's investment objective is capital appreciation. It seeks
to achieve its objective by investing primarily in equity securities.

      The Fund  offers  Class A and Class N shares.  Class A shares  were  first
offered on July 1, 2000 and are  generally  subject to an initial  sales charge.
Each class has identical rights to assets and earnings.

      The following is a summary of significant accounting policies consistently
followed  by the  Fund  in the  preparation  of its  financial  statements.

(A) INVESTMENT  VALUATION--Investments in securities are valued each day the New
York Stock  Exchange (the "NYSE") is open as of the close of the NYSE  (normally
4:00 p.m.  Eastern  time).  Listed  securities  for which  such  information  is
regularly  reported  are  valued  at the last  reported  sales  price or, in the
absence of reported  sales,  at the mean between the bid and asked price,  or in
the absence of a recent bid or asked price,  the equivalent as obtained from one
or more of the major market makers for the  securities to be valued.  Short-term
notes are valued at amortized cost which  approximates  market value.  Shares of
mutual  funds are valued at the net asset value of the  underlying  mutual fund.
Securities  included  within  the  Nasdaq  market  shall be valued at the Nasdaq
official closing price ("NOCP") on the day of valuation,  or if there is no NOCP
issued,  at the last sale  price on such day.  Securities  included  within  the
Nasdaq  market  for which  there is no NOCP and no last sale price on the day of
valuation  shall be valued at the mean  between the last bid and asked prices on
such day.

(B) SECURITIES TRANSACTIONS AND INVESTMENT  INCOME--Securities  transactions are
recorded  on a trade  date  basis.  Realized  gains and losses  from  securities
transactions  are  recorded  on the  basis of the  first-in,  first-out  method.
Dividend  income is recognized on the  ex-dividend  date and interest  income is
recognized on the accrual basis.

(C)  REPURCHASE  AGREEMENTS--The  Fund enters into  repurchase  agreements  with
approved  institutions.  The repurchase  agreements are  collateralized  by U.S.
Government securities, which are either received and held in physical possession
by the custodian or received by such  custodian in  book-entry  form through the
Federal  Reserve  book-entry  system.  The collateral is valued on a daily basis
during the term of the  agreement to ensure that its value equals or exceeds the
agreed-upon  repurchase price to be repaid to the Fund. Additional collateral is
obtained when necessary.

(D)  OPTION  WRITING:  When the Fund  writes an option,  an amount  equal to the
premium  received by the Fund is recorded  as a  liability  and is  subsequently


                                       11


SPECTRA FUND
NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

adjusted to the current fair value of the option written. Premiums received from
writing  options  that  expire  unexercised  are  treated  by  the  Fund  on the
expiration date as realized gains from investments.  The difference  between the
premium  and the  amount  paid on  effecting  a  closing  purchase  transaction,
including brokerage commissions,  is also treated as a realized gain, or, if the
premium is less than the amount paid for the closing purchase transaction,  as a
realized  loss.  If a call  option is  exercised,  the  premium  is added to the
proceeds from the sale of the  underlying  security in  determining  whether the
Fund has  realized a gain or loss.  If a put option is  exercised,  the  premium
reduces the cost basis of the  securities  purchased by the Fund.  The Fund,  as
writer of an option, bears the market risk of an unfavorable change in the price
of the security underlying the written option.

(E) LENDING OF PORTFOLIO  SECURITIES--The Fund lends its securities to financial
institutions,  provided that the market value of the securities  loaned will not
at any time exceed one third of the Fund's total  assets,  as defined.  The Fund
earns fees on the securities  loaned,  which are included in interest  income in
the accompanying  Statement of Operations.  In order to protect against the risk
of failure by the borrower to return the  securities  loaned or any delay in the
delivery of such  securities,  the loan is  collateralized  by cash,  letters of
credit or U.S.  Government  securities that are maintained in an amount equal to
at least 100 percent of the current market value of the loaned  securities.  The
market value of the loaned  securities is determined at the close of business of
the Fund and any required additional  collateral is delivered to the Fund on the
next  business  day.  At April 30,  2004,  the value of  securities  loaned  and
collateral received thereon were $25,674,787 and $27,135,634, respectively.

(F)  DIVIDENDS  TO   SHAREHOLDERS--Dividends   and   distributions   payable  to
shareholders  are recorded by the Fund on the ex-dividend  date.  Dividends from
net investment income and distributions from net realized gains are declared and
paid annually after the end of the fiscal year in which earned.

Each class is treated  separately in  determining  the amounts of dividends from
net investment income and distributions from capital gains payable to holders of
its shares.

The  characterization  of distributions to shareholders for financial  reporting
purposes is determined in accordance  with federal income tax rules.  Therefore,
the  source  of the  Fund's  distributions  may  be  shown  in the  accompanying
financial  statements as either from, or in excess of net investment income, net
realized gain on investment  transactions or paid-in  capital,  depending on the
type of  book/tax  differences  that may exist.

At October 31, 2003, the Fund  reclassified  $3,476,757 from  undistributed  net
investment  income  (accumulated  loss) to  paid-in  capital.  Reclassifications
result  primarily from the difference in tax treatment of net operating  losses.
The


                                       12


SPECTRA FUND
NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

reclassification  had no  impact  on the net  asset  value  of the  Fund  and is
designed to present the Fund's capital accounts on a tax basis.

(G)  FEDERAL  INCOME   TAXES--It  is  the  Fund's  policy  to  comply  with  the
requirements  of the Internal  Revenue Code  applicable to regulated  investment
companies and to distribute all of its investment  company taxable income to its
shareholders. Provided the Fund maintains such compliance, no federal income tax
provision is required. At October 31, 2003, the net capital loss carryforward of
the Fund which may be used to offset future net realized gains was approximately
$319,100,286 and expires 2009 through 2010.

(H) ALLOCATION  METHOD--Income,  realized and unrealized  gains and losses,  and
expenses are  allocated  among the Fund's  classes based on relative net assets.

(I)  INDEMNIFICATION--The  Fund enters into  contracts that contain a variety of
indem-   nification   provisions.   The  Fund's  maximum  exposure  under  these
arrangements  is  unknown.  The Fund does not  anticipate  recognizing  any loss
related to these arrangements.

(J)  OTHER--These  financial  statements  have been prepared using estimates and
assumptions that affect the reported amounts therein.  Actual results may differ
from those estimates.

NOTE 2--INVESTMENT ADVISORY FEES AND OTHER TRANSACTIONS WITH AFFILIATES:

(A) INVESTMENT ADVISORY FEES--The Fund pays its investment  adviser,  Fred Alger
Management, Inc. ("Alger Management"),  a monthly fee at an annual rate of 1.50%
based on the value of the Fund's average daily net assets.

(B) TRANSFER AGENT FEES--Alger Shareholder Services, Inc. ("Alger Services"), an
affiliate of Alger Management, serves as transfer agent for the Fund. During the
six months ended April 30, 2004, the Fund incurred fees of approximately $97,000
for  services   provided  by  Alger  Services  and  reimbursed   Alger  Services
approximately $13,000 for transfer agent related expenses paid by Alger Services
on behalf of the Fund.

(C) BROKERAGE  COMMISSIONS--During the six months ended April 30, 2004, the Fund
paid Fred Alger & Company,  Incorporated  ("Alger Inc."),  an affiliate of Alger
Management, $352,546 in connection with securities transactions.

(D) TRUSTEES'  FEES--Certain trustees and officers of the Fund are directors and
officers of Alger Management,  Alger Inc. and Alger Services. The Fund pays each
trustee who is not affiliated with Alger  Management or its affiliates an annual
fee of $8,000.

(E)  SHAREHOLDER  SERVICING  FEES--The  Fund  has  entered  into  a  shareholder
servicing  agreement with Alger Inc.  whereby Alger Inc.  provides the Fund with
ongoing  servicing of shareholder  accounts.  As compensation for such services,


                                       13


SPECTRA FUND
NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

the Fund pays Alger Inc.  a monthly  fee at an annual  rate equal to .25% of the
value of the Fund's average daily net assets.

NOTE 3--SECURITIES TRANSACTIONS:

(a)  During  the six  months  ended  April  30,  2004,  purchases  and  sales of
investment securities, excluding short-term securities,  aggregated $187,258,860
and $218,249,954, respectively.

NOTE 4--LINES OF CREDIT:

      The Fund has both  committed and  uncommitted  lines of credit with banks.
All borrowings  have variable  interest rates and are payable on demand.  To the
extent the Fund borrows under these lines, the Fund must pledge  securities with
a total value of at least twice the amount  borrowed.  For the six months  ended
April 30, 2004, the Fund had borrowings which averaged  $4,221,456 at a weighted
average interest rate of 1.53%.

NOTE 5--SHARE CAPITAL:

      The Fund has an  unlimited  number  of  authorized  shares  of  beneficial
interest  of $.001  par value  which are  presently  divided  into two  separate
classes.

      During the six months  ended  April 30,  2004,  transactions  of shares of
beneficial interest were as follows:

CLASS A:                                              SHARES         AMOUNT
                                                     --------       --------
Shares sold ....................................       47,302    $      286,740
Shares redeemed ................................     (145,474)         (888,067)
                                                   ----------    --------------
Net decrease ...................................      (98,172)   $     (601,327)
                                                   ==========    ==============

CLASS N:                                              SHARES         AMOUNT
                                                     --------       --------
Shares sold ....................................    3,067,502    $   18,728,477
Shares redeemed ................................   (6,152,947)      (37,691,278)
                                                   ----------    --------------
Net decrease ...................................   (3,085,445)   $  (18,962,801)
                                                   ==========    ==============

      During  the year  ended  October  31,  2003,  transactions  of  shares  of
beneficial interest were as follows:

CLASS A:                                              SHARES         AMOUNT
                                                     --------       --------
Shares sold ....................................   32,316,416    $  161,738,352
Shares redeemed ................................  (32,653,783)     (165,001,798)
                                                   ----------    --------------
Net decrease ...................................     (337,367)   $   (3,263,446)
                                                   ==========    ==============

CLASS N:                                              SHARES         AMOUNT
                                                     --------       --------
Shares sold ....................................    5,995,836    $   29,925,164
Shares redeemed ................................  (15,289,943)      (76,089,697)
                                                   ----------    --------------
Net decrease ...................................   (9,294,107)   $  (46,164,533)
                                                   ==========    ==============


                                       14


SPECTRA FUND
NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

NOTE 6--DISTRIBUTIONS TO SHAREHOLDERS:

      During the six months ended April 30, 2004 and the year ended  October 31,
2003, there were no distributions paid.

      As of October 31, 2003, the components of distributable  earnings on a tax
basis were as follows:

Undistributed ordinary income ..................................   $          --
Undistributed long-term gain ...................................   $          --
Capital loss carryforward ......................................   $ 319,100,286
Unrealized appreciation
  (depreciation) ...............................................   $  35,771,868

      The difference  between book basis and tax-basis  unrealized  appreciation
(depreciation)  is attributable  primarily to the tax deferral of losses on wash
sales.

NOTE 7--REGULATORY MATTERS:

      The Office of the New York State Attorney General, the Attorney General of
West  Virginia,  the  Massachusetts  Securities  Division  of the  Office of the
Secretary of the  Commonwealth,  and the United States  Securities  and Exchange
Commission  ("SEC") have  contacted  Alger  Management in connection  with their
investigation  of practices in the mutual fund  industry  identified  as "market
timing"  and  "late  trading"  of  mutual  fund  shares.  In  response  to these
inquiries,  Alger  Management  and its counsel have been  investigating  certain
shareholder  trading practices,  both in the Fund and in other mutual funds that
it manages (the "Funds").  Alger  Management has assured the board that if it be
determined that improper trading  practices in the Fund  detrimentally  affected
its  performance,  Alger Management will make  appropriate  restitution.  At the
present time,  Alger  Management is unable to estimate the impact,  if any, that
the outcome of these investigations may have on the Fund's results of operations
or financial condition.

      On October 16,  2003,  the SEC  commenced  and settled a civil  proceeding
against a former  vice  chairman  of Alger  Management's  immediate  parent,  in
connection with alleged market timing arrangements with certain investors in the
Fund.  That  settlement  specifically  provided:  "The findings  herein are made
pursuant to [the former vice chairman's settlement] Offer and are not binding on
any other  person or entity  in this or any  other  proceeding."  Neither  Alger
Management nor any of the Funds was a party to this proceeding.

      On October 31, 2003, Peter D. DeMayo,  as Custodian for James Liam DeMayo,
identifying himself as a shareholder of the Fund, filed a purported class action
lawsuit  against the Fund,  The Alger  Funds,  various  portfolios  of The Alger
Funds, Alger Management,  the former vice chairman,  Veras Management  Partners,
LLP et al., in the United States District Court for the Southern District of New
York,  and served the complaint in the lawsuit on Alger  Management


                                       15


SPECTRA FUND
NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

and the fund defendants on November 10, 2003. The suit, based primarily upon the
SEC settlement with a former vice chairman,  alleges,  among other things,  that
the fund defendants made false and misleading  statements in their  prospectuses
in violation of Section 11 of the Securities Act of 1933, that other  defendants
violated the "control person" provisions of Section 15 of the Securities Act and
Section  20(a)  of the  Securities  Exchange  Act of 1934,  that all  defendants
committed fraud in violation of Section 10(b) of the Securities Exchange Act and
Rule 10b-5  thereunder,  and that Alger Management  breached a fiduciary duty to
plaintiffs.  The suit seeks, among other things,  compensatory damages, recovery
of  advisory  fees paid to Alger  Management,  and  payment  of the  plaintiff's
counsel and expert fees.

      The Judicial  Panel on Multi  District  Litigation has referred the DEMAYO
case to the  District of Maryland for  consolidation  with other  federal  cases
involving the mutual fund  industry.  Other  securities  class actions have been
commenced after DEMAYO that make substantially  similar allegations for the same
class period. These cases have also been transferred to the District of Maryland
and they include:  BILLMAN V. FRED ALGER  MANAGEMENT,  INC., 03 CV 9167; BUHS V.
FRED ALGER  MANAGEMENT,  INC.,  03 CV 8959;  GARFIELD V. FRED ALGER  MANAGEMENT,
INC., ET AL., 03 CV 9239;  HENZEL V. ALGER SMALL PORTFOLIO,  ET AL., 03 CV 8747;
CROCKET V. ALGER SMALL PORTFOLIO, 03 CV 9915, FRIEDMAN V. ALGER SMALL PORTFOLIO,
03 CV 9426,  JOHNSON V. ALGER SMALL  PORTFOLIO,  ET AL., 03 CV 9858,  and NEEYAF
DISTRIBUTING V. ALGER SMALL PORTFOLIO, 03 CV 9501.

      In addition,  on November  25, 2003 a  derivative  action was filed in the
U.S.  District  Court for the Eastern  District of New York  against  Fred Alger
Management, Inc. See BERNSTEIN V. FRED ALGER MANAGEMENT,  INC., 03 CV 5958. This
matter has also been transferred to the District of Maryland.

      Finally, three derivative actions have been filed in The Superior Court of
the Commonwealth of Massachusetts,  County of Suffolk,  against certain officers
and trustees of Alger - related funds. These matters include,  JONATHAN CLAIN V.
FRED M. ALGER, III, ET AL., JAMES LAUFER V. FRED M. ALGER, III, ET AL. and DAVID
GRANT V. FRED M. ALGER, III, ET AL.

      Alger  Management  does not  believe  that  the  foregoing  lawsuits  will
materially  affect its ability to perform its  management  contracts with any of
the funds that it manages,  and the management of the Fund believes that it will
not be materially adversely affected by the pending lawsuits.


                                       16


SPECTRA FUND

111 Fifth Avenue
New York, NY 10003
(800) 711-6141
www.alger.com

INVESTMENT MANAGER
Fred Alger Management, Inc.
111 Fifth Avenue
New York, NY 10003

TRANSFER AGENT AND DIVIDEND DISBURSING AGENT
Alger Shareholder Services, Inc.
30 Montgomery Street
Jersey City, NJ 07302

This report is submitted  for the general  information  of the  shareholders  of
Spectra Fund. It is not authorized  for  distribution  to prospective  investors
unless  accompanied  by an effective  Prospectus  for the Fund,  which  contains
information concerning the Fund's investment policies, fees and expenses as well
as other pertinent information.

PROXY VOTING POLICIES
A description  of the policies and  procedures the Fund uses to determine how to
vote proxies  relating to fund  securities  is  available,  without  charge,  by
calling (800) 711-6141.




[ALGER LOGO OMITTED]
Alger Shareholder Services, Inc.
30 Montgomery Street
Jersey City, NJ 07302







SAS 61504 L2




ITEM 2.  CODE OF ETHICS.
(a) Not applicable

(b) Not applicable

(c) Not applicable

(d) Not applicable

(e) Not applicable

(f) Not applicable

ITEM 3. AUDIT COMMITTEE FINANCIAL EXPERT.
Not applicable

ITEM 4.  PRINCIPAL ACCOUNTANT FEES AND SERVICES.
Not applicable

ITEM 5. AUDIT COMMITTEE OF LISTED REGISTRANTS.
Not applicable

ITEM 6. SCHEDULE OF INVESTMENTS
Not applicable

ITEM 7. DISCLOSURE OF PROXY VOTING POLICIES AND PROCEDURES FOR CLOSED END
MANAGEMENT INVESTMENT COMPANIES.
Not applicable

ITEM 8. PURCHASES OF EQUITY SECURITIES BY CLOSED-END MANAGEMENT INVESTMENT
COMPANY AND AFFILIATED PURCHASERS.
Not applicable

ITEM 9.  SUBMISSION OF MATTERS TO A VOTE OF SECURITY HOLDERS.
At a meeting of the Board of Trustees  held May 11,  2004,  the Board  adopted a
policy that it shall decline to consider candidates  recommended by shareholders
to fill a vacancy or a likely vacancy on the Board.  The Board believes that the
independent  Trustees  are in the best  position to screen and select  qualified
candidates for Board  membership who will provide the  experience,  perspective,
skills and other  attributes  necessary to effectively  advance the interests of
registrant's  shareholders.  Prior to May 11,  2004,  the  Board  did not have a
formal  policy with respect to  consideration  of  shareholder  nominees for the
Board. In screening and selecting qualified candidates for Board membership, the
independent   Trustees  may  consider  candidates   recommended  by  Fred  Alger
Management,  Inc., and may retain an executive search firm and/or outside legal,
financial or other  external  counsel  that they deem  necessary or desirable to
assist in the nominating and/or screening process.

ITEM 10.  CONTROLS AND PROCEDURES.
(a) The registrant's principal executive officer and principal financial officer
have  concluded  that the  registrant's  disclosure  controls and procedures (as
defined in Rule 30a-3(c) under the  Investment  Company Act of 1940, as amended)
are  effective  based  on  their  evaluation  of  the  disclosure  controls  and
procedures as of a date within 90 days of the filing date of this document.

(b) No changes in the  registrant's  internal  control over financial  reporting
occurred during the registrant's last fiscal half-year that materially affected,
or are reasonably likely to materially affect, the registrant's internal control
over financial reporting.



ITEM 11. EXHIBITS.

(a) (1) Not applicable

(a) (2) Certifications of principal  executive officer and principal financial
    officer as required by rule 30a-2(a) under the  Investment  Company Act of
    1940 are attached as Exhibit 99.CERT

(b) Certifications  of principal  executive  officer and  principal  financial
    officer as required by rule 30a-2(b) under the  Investment  Company Act of
    1940 are attached as Exhibit 99.906CERT



SIGNATURES

Pursuant to the  requirements  of the  Securities  Exchange  Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

Spectra Fund

 By:  /s/Dan C. Chung

       Dan C. Chung

       President

Date:  June 30, 2004

Pursuant to the  requirements  of the  Securities  Exchange  Act of 1934 and the
Investment  Company  Act of  1940,  this  report  has been  signed  below by the
following  persons on behalf of the  registrant and in the capacities and on the
dates indicated.

By: /s/Dan C. Chung

     Dan C. Chung

     President


Date:  June 30, 2004

By: /s/Frederick A. Blum

      Frederick A. Blum

      Treasurer

Date:  June 30, 2004