United States
                       Securities and Exchange Commission
                             Washington, D.C. 20549

                                   Form N-CSR
   Certified Shareholder Report of Registered Management Investment Companies




                                    811-10625

                      (Investment Company Act File Number)


                          Federated Core Trust II, L.P.
         _______________________________________________________________

               (Exact Name of Registrant as Specified in Charter)



                            Federated Investors Funds
                              5800 Corporate Drive
                       Pittsburgh, Pennsylvania 15237-7000


                                 (412) 288-1900
                         (Registrant's Telephone Number)


                           John W. McGonigle, Esquire
                            Federated Investors Tower
                               1001 Liberty Avenue
                       Pittsburgh, Pennsylvania 15222-3779
                     (Name and Address of Agent for Service)
                (Notices should be sent to the Agent for Service)


                        Date of Fiscal Year End: 11/30/04


               Date of Reporting Period: Six months ended 5/31/04


Item 1.     Reports to Stockholders



EMERGING MARKETS FIXED INCOME CORE FUND
PORTFOLIO OF INVESTMENTS
May 31, 2004 (unaudited)

 Principal                                                          Value in
 Amount                                                             U.S.
                                                                    Dollars
- ------------------------------------------------------------------------------

             Corporate Bonds--22.3%
             Banking--1.0%
$ 1,000,000  Banco Mercantil Norte CI, Series 144A, 5.875%,
             2/17/2014                                             $   970,160
             Brewing--1.8%
  1,700,000  Bavaria, Series 144A, 8.875%, 11/1/2010                 1,721,250
             Broadcast Radio & TV--2.0%
  1,900,000  Grupo Televisa SA, Sr. Note, 8.500%, 3/11/2032          1,935,625
             Cable & Wireless Television--0.8%
    360,000  Innova S De R.L., 9.375%, 9/19/2013                       373,500
    398,933  Innova S De R.L., Sr. Note, 12.875%, 4/1/2007             400,928
                 Total                                                 774,428
             Container & Glass Products--2.1%
    600,000  Vicap SA, Sr. Note, Series EXCH, 11.375%, 5/15/2007       597,000
  1,600,000  Vitro SA, Note, Series 144A, 11.750%, 11/1/2013         1,464,000
                 Total                                               2,061,000
             Oil & Gas--8.6%
  1,500,000  Gaz Capital SA, Note, Series 144A, 8.625%, 4/28/2034    1,481,250
  1,440,000  Gazprom, Note, Series 144A, 9.625%, 3/1/2013            1,484,496
  2,500,000  Pemex Project Funding Master, Company Guarantee,
             7.375%, 12/15/2014                                      2,537,500
  1,000,000  Petronas Capital Ltd., Series REGS, 7.875%, 5/22/2022   1,100,600
  2,200,000 1Petrozuata Finance Inc., Company Guarantee, Series
             144A, 8.220%, 4/1/2017                                  1,859,000
                 Total                                               8,462,846
             Paper Products--0.6%
    600,000 2Corporacion Durango SA De CV, Sr. Note, 13.125%,
             8/1/2006                                                  319,500
    500,000 2Corporacion Durango SA De CV, Sr. Note, Series 144A,
             13.750%, 7/15/2009                                        266,250
                 Total                                                 585,750
             Steel--1.3%
  1,500,000 1CSN Islands VIII Corp., Company Guarantee, Series
             144A, 9.750%, 12/16/2013                                1,256,250
             Telecommunications & Cellular--2.4%
  1,000,000  Mobile Telesystems, Series 144A, 8.375%, 10/14/2010       946,400
  1,300,000  Philippine Long Distance Telephone Co., Sr. Unsub.,
             11.375%, 5/15/2012                                      1,410,500
                 Total                                               2,356,900
             Utilities--1.7%
  1,700,000  CIA Saneamento Basico, Note, Series 144A, 12.000%,
             6/20/2008                                               1,678,750
                 Total Corporate Bonds (identified cost             21,802,959
                 $22,404,804)

             Governments/Agencies--70.0%
             Government Agency--0.7%
    600,000  Banque Centrale de Tunisie, Unsub., 7.375%, 4/25/2012     643,500
             Sovereign--69.3%
  3,300,000  Brazil, Government of, 14.500%, 10/15/2009              3,753,750
  3,987,418  Brazil, Government of, C Bond, 8.000%, 4/15/2014        3,551,194
  3,400,000  Brazil, Government of, Note, 12.000%, 4/15/2010         3,536,000
  1,100,000  Brazil, Government of, Unsub., 11.00%, 8/17/2040          991,100
  1,100,000 1Bulgaria, Government of, Bond, 8.25%, 1/15/2015         1,237,500
  1,780,000  Colombia, Government of, 10.00%, 1/23/2012              1,793,350
  1,000,000  Colombia, Government of, 10.75%, 1/15/2013              1,040,000
    900,000  El Salvador, Government of, Bond, 8.25%, 4/10/2032        832,500
    900,000 1Guatemala, Government of, Note, 9.25%, 8/1/2013           918,000
  3,600,000  Mexico, Government of, Bond, 8.00%, 9/24/2022           3,766,500
  1,500,000  Mexico, Government of, Bond, 8.30%, 8/15/2031           1,586,625
  2,000,000  Mexico, Government of, Bond, 11.50%, 5/15/2026          2,792,500
  1,400,000  Mexico, Government of, Note, 7.50%, 1/14/2012           1,524,600
  3,650,000  Mexico, Government of, Note, 8.375%, 1/14/2011          4,170,125
  2,400,000  Mexico, Government of, Note, 9.875%, 2/1/2010           2,919,000
    670,000  Panama, Government of, Bond, 9.375%, 1/16/2023            673,350
  1,880,000  Peru, Government of, Note, 9.875%, 2/6/2015             1,908,200
  1,000,000  Philippines, Government of, 9.375%, 1/18/2017           1,017,700
    750,000  Philippines, Government of, 9.875%, 1/15/2019             746,475
  1,200,000  Philippines, Government of, Note, 8.25%, 1/15/2014      1,137,600
  1,225,000  Philippines, Government of, Note, 10.625%, 3/16/2025    1,262,240
  3,950,000  Russia, Government of, 8.25%, 3/31/2010                 4,272,123
  2,900,000  Russia, Government of, 10.00%, 6/26/2007                3,287,585
  7,000,000 1Russia, Government of, Unsub., 5.00%, 3/31/2030         6,373,150
  1,000,000  Russia, Government of, Unsub., 12.75%, 6/24/2028        1,456,000
  1,050,000  Turkey, Government of, 9.50%, 1/15/2014                 1,050,000
  1,810,000  Turkey, Government of, 11.00%, 1/14/2013                1,950,275
  1,450,000  Turkey, Government of, Sr. Unsub., 12.375%, 6/15/2009   1,634,875
  1,288,023  Ukraine, Government of, Sr. Note, 11.00%, 3/15/2007     1,402,464
  3,500,000  Venezuela, Government of, 10.75%, 9/19/2013             3,403,750
  1,150,000  Venezuela, Government of, Bond, 9.25%, 9/15/2027          974,625
    850,000  Venezuela, Government of, Par Bond, 6.75%, 3/31/2020      739,500
                 Total                                              67,702,656
                 Total Governments/Agencies                         68,346,156
                  (identified cost $67,836,264)

             Repurchase Agreement--4.0%
  3,937,000  Interest in $1,500,000,000 joint repurchase
             agreement with Banc of America Securities LLC,
             1.05%, dated 5/28/2004, to be repurchased at
             $3,937,459 on 6/1/2004, collateralized by U.S.
             Government Agency Obligations with various
             maturities to 10/1/2033, collateral market value
             $1,530,039,205 (at amortized cost)                       3,937,000
                 Total Investments--96.3%                            94,086,115
                  (identified cost $94,178,068)3
                 other assets and liabilities--net--3.7%              3,627,547
                 total net assets--100%                             $97,713,662
- -------------------------------------------------------------------------------

     1    Denotes a  restricted  security  which is subject to  restrictions  on
          resale under  federal  securities  laws.  These  securities  have been
          deemed  liquid  based upon  criteria  approved by the Fund's  Board of
          Directors.  At May 31, 2004, these securities  amounted to $11,643,900
          which represents 11.9% of net assets.

     2    Non-income producing security.

     3    The  cost  of  investments   for  federal  tax  purposes   amounts  to
          $94,419,137.

Note:  The  categories  of  investments  are shown as a percentage  of total net
assets at May 31, 2004.

See Notes which are an integral part of the Financial Statements





EMERGING MARKETS FIXED INCOME CORE FUND
STATEMENT OF ASSETS AND LIABILITIES
May 31, 2004 (unaudited)
<table>
<caption>
<s>                                           <c>                <c>
Assets:
Total investments in securities, at value
(identified cost $94,178,068)                                     $    94,086,115
Cash                                                                          552
Income receivable                                                       1,952,376
Receivable for investments sold                                         2,811,834
     TOTAL ASSETS                                                      98,850,877
Liabilities:
Payable for investments purchased               $   1,106,968
Payable for transfer and dividend
disbursing agent fees and expenses
- -------------------------------------------
(Note 5)                                                2,375
Payable for Director's/Trustee's fees                     687
Accrued expenses                                       27,185
     TOTAL LIABILITIES                                                  1,137,215
Net assets for 6,956,728 shares outstanding                            97,713,662
Net Assets Consist of:
Paid in capital                                                        66,879,678
Net unrealized depreciation of investments                               (91,953)
Accumulated net realized gain on
investments                                                            11,116,437
Undistributed net investment income                                    19,809,500
     TOTAL NET ASSETS                                                  97,713,662
Net Asset Value, Offering Price and
Redemption Proceeds Per Share
$97,713,662 / 6,956,728 shares outstanding                                 $14.05

- ---------------------------------------------------------------------------------
See Notes which are an integral part of the Financial Statements

STATEMENT OF OPERATIONS
Six Months Ended May 31, 2004 (unaudited)

Investment Income:
Interest                                                                $     4,566,753
Expenses:
Administrative personnel and
services fee (Note 5)                             $          41,819
Custodian fees                                               20,397
Transfer and dividend
disbursing agent fees and
expenses (Note 5)                                             7,797
Directors'/Trustees' fees                                     4,808
Auditing fees                                                 8,519
Legal fees                                                    3,345
Portfolio accounting fees (Note
5)                                                           35,829
Insurance premiums                                            3,935
Miscellaneous                                                 1,250
     TOTAL EXPENSES                                         127,699
Waiver and Reimbursement (Note
5):
Waiver of administrative
personnel and services fee           $      (41,819)
Reimbursement of other
operating expenses                          (55,044)
     TOTAL WAIVER AND
REIMBURSEMENT                                               (96,863)
Net expenses                                                                     30,836
Net investment income                                                         4,535,917
Realized and Unrealized Gain
(Loss) on Investments:
Net realized gain on
investments                                                                   3,602,347
Net change in unrealized
appreciation of investments                                                 (11,139,747)
Net realized and unrealized
loss on investments                                                          (7,537,400)
Change in net assets resulting
from operations                                                      $       (3,001,483)

</table>

See Notes which are an integral part of the Financial Statements
- ------------------------------------------------------------------------------

EMERGING MARKETS FIXED INCOME CORE FUND
STATEMENT OF CHANGES IN NET ASSETS


                                                      Six
                                             Months Ended
                                              (unaudited)           Year Ended
                                                5/31/2004           11/30/2003
Increase (Decrease) in Net Assets
Operations:
Net investment income                    $       4,535,917     $     9,186,509
Net realized gain on investments                3,602,347            5,253,640
Net change in unrealized
appreciation/depreciation of
investments                                   (11,139,747)          11,721,465
     CHANGE IN NET ASSETS RESULTING
     FROM OPERATIONS                           (3,001,483)           26,161,614
Share Transactions:
Proceeds from sale of shares                    6,212,000           67,180,000
Cost of shares redeemed                       (36,553,000)        (42,800,000)
     CHANGE IN NET ASSETS RESULTING
     FROM SHARE TRANSACTIONS                 (30,341,000)           24,380,000
Change in net assets                         (33,342,483)           50,541,614
Net Assets:
Beginning of period                           131,056,145           80,514,531
End of period (including
undistributed net investment income
of $19,809,500 and $15,273,583,
respectively)                            $     97,713,662      $   131,056,145

==============================================================================

See Notes which are an integral part of the Financial Statements

EMERGING MARKETS FIXED INCOME CORE FUND
FINANCIAL HIGHLIGHTS
(For a Share Outstanding Throughout Each Period)

                                Six
                                Months
                                Ended            Year       Period
                                (unaudited)     Ended       Ended
                                5/31/2004     11/30/2003    11/30/2002 1

Net Asset Value, Beginning
of Period                        $14.39         $10.98     $10.00

Income From Investment
Operations:

Net investment income            1.17           0.85       0.83 2

Net realized and
unrealized gain (loss) on        (1.51)         2.56       0.15 2
investments

    TOTAL FROM INVESTMENT
    OPERATIONS                   (0.34)         3.41       0.98

Net Asset Value, End of Period   $14.05         $14.39     $10.98

Total Return3                    (2.36)%        31.06%     9.80%

Ratios to Average Net Assets:

Expenses                         0.05 %4        0.05%      0.05% 4

Net investment income            8.08 %4        8.85%      10.58 2,4

Expense
waiver/reimbursement5            0.17 %4        0.23%      0.42% 4

Supplemental Data:

Net assets, end of period
(000 omitted)                    $97,714        $131,056   $80,515

Portfolio turnover               22%            97%        178%

1    Reflects  operations  for the period from January 14, 2002 (date of initial
     investment) to November 30, 2002.

2    Effective January 14, 2002, the Fund adopted the provisions of the American
     Institute of Certified  Public  Accountants  ("AICPA") Audit and Accounting
     Guide for  Investment  Companies  and began  accreting  discount/amortizing
     premium on  long-term  debt  securities.  The effect of this change for the
     period ended  November 30, 2002 was to increase net  investment  income per
     share by $0.01, decrease net realized and unrealized gain/loss per share by
     $0.01,  and  increase  the ratio of net  investment  income to average  net
     assets from 10.39% to 10.58%.

3    Based on net asset  value,  which  does not  reflect  the  sales  charge or
     contingent deferred sales charge, if applicable.

4    Computed on an annualized basis.

5    This  voluntary  expense  decrease is reflected in both the expense and the
     net investment income ratios shown above.

See Notes which are an integral part of the Financial Statements

EMERGING MARKETS FIXED INCOME CORE FUND

NOTES TO FINANCIAL STATEMENTS

May 31, 2004 (unaudited)

1. ORGANIZATION

Emerging  Markets  Fixed  Income  Core Fund (the  "Fund")  is a  non-diversified
portfolio  of  Federated  Core  Trust  II,  L.P.  (the  "Trust").  The  Trust is
registered under the Investment Company Act of 1940, as amended (the "Act"). The
Trust is a limited  partnership that was established under the laws of the State
of Delaware on November  13,  2000 and  offered  only to  registered  investment
companies and other accredited investors.  The Trust consists of two portfolios.
The financial statements included herein are only those of the Fund.

The Fund's  primary  investment  objective is to achieve total return on assets.
Its  secondary  investment  objective is to achieve a high level of income.  The
Fund pursues these objectives by investing in an unhedged  portfolio of foreign,
high-yield,  fixed income securities.  Currently, the Fund is only available for
purchase by other Federated funds and their affiliates.

2. SIGNIFICANT ACCOUNTING POLICIES

The  following  is a summary of  significant  accounting  policies  consistently
followed  by the Fund in the  preparation  of its  financial  statements.  These
policies  are  in  conformity  with  generally  accepted  accounting  principles
("GAAP") in the United States of America.

Investment Valuation

Domestic  and  foreign  equity  securities  are valued at the last sale price or
official closing price reported in the market in which they are primarily traded
(either a national  securities  exchange  or the  over-the-counter  market),  if
available. If unavailable,  the security is generally valued at the mean between
the last  closing bid and asked  prices.  With  respect to  valuation of foreign
securities,  trading in foreign cities may be completed at times which vary from
the  closing  of the  New  York  Stock  Exchange  ("NYSE").  Therefore,  foreign
securities  are valued at the latest closing price on the exchange on which they
are traded  immediately  prior to the  closing of the NYSE.  Foreign  securities
quoted in foreign  currencies  are translated  into U.S.  dollars at the foreign
exchange rate in effect at 4:00 p.m.,  Eastern Time, on the day the value of the
foreign security is determined.  Fixed income,  listed corporate bonds, unlisted
securities and private placement  securities are generally valued at the mean of
the latest bid and asked price as furnished by an independent  pricing  service.
Short-term  securities  are  valued at the  prices  provided  by an  independent
pricing service. However,  short-term securities with remaining maturities of 60
days or less at the time of  purchase  may be valued at  amortized  cost,  which
approximates  fair  market  value.   Investments  in  other  open-end  regulated
investment  companies  are valued at net asset  value.  Securities  for which no
quotations  are  readily  available,  or whose  values  have been  affected by a
significant  event occuring  between the close of their primary  markets and the
closing of the NYSE,  are valued at fair value as determined in accordance  with
procedures  established  by  and  under  general  supervision  of the  Board  of
Directors (the "Directors").

Repurchase Agreements

It is the policy of the Fund to require the custodian  bank to take  possession,
to have legally  segregated in the Federal Reserve Book Entry System, or to have
segregated  within the custodian bank's vault, all securities held as collateral
under  repurchase  agreement  transactions.  Additionally,  procedures have been
established by the Fund to monitor,  on a daily basis,  the market value of each
repurchase  agreement's collateral to ensure that the value of the collateral at
least equals the repurchase price to be paid under the repurchase agreement.

The Fund  will  only  enter  into  repurchase  agreements  with  banks and other
recognized financial institutions,  such as broker/dealers,  which are deemed by
the  Fund's  adviser  to be  creditworthy  pursuant  to  the  guidelines  and/or
standards  reviewed or established  by the  Directors.  Risks may arise from the
potential  inability  of  counterparties  to honor the  terms of the  repurchase
agreement. Accordingly, the Fund could receive less than the repurchase price on
the sale of  collateral  securities.  The  Fund,  along  with  other  affiliated
investment  companies,  may utilize a joint  trading  account for the purpose of
entering into one or more repurchase agreements.

Investment Income, Expenses, Distributions and Tax

Interest  income and expenses are accrued  daily.  All net income and  gain/loss
(realized and unrealized) will be allocated daily to the  shareholders  based on
their capital  contraibutions to the Fund. The Fund does not currently intend to
declare and pay distributions.

Premium and Discount Amortization

All premiums and discounts on fixed income securities are amortized/accreted for
financial statement purposes.

Federal Taxes

As a partnership,  the Fund is not subject to U.S. federal income tax.  Instead,
each  investor  reports  separately  on its own  federal  income  tax return its
allocated portion of the Fund's income,  gains,  losses,  deductions and credits
(including  foreign tax  credits for  creditable  foreign  taxes  imposed on the
Fund).

When-Issued and Delayed Delivery Transactions

The Fund may engage in when-issued or delayed  delivery  transactions.  The Fund
records  when-issued  securities  on  the  trade  date  and  maintains  security
positions such that  sufficient  liquid assets will be available to make payment
for the securities  purchased.  Securities purchased on a when-issued or delayed
delivery  basis are marked to market  daily and begin  earning  interest  on the
settlement date. Losses may occur on these transactions due to changes in market
conditions or the failure of counterparties to perform under the contract.

Foreign Exchange Contracts

The Fund may enter into foreign currency commitments for the delayed delivery of
securities or foreign currency  exchange  transactions.  The Fund may enter into
foreign currency contract transactions to protect assets against adverse changes
in foreign currency  exchange rates or exchange control  regulations.  Purchased
contracts are used to acquire exposure to foreign currencies; whereas, contracts
to sell are used to hedge the Fund's securities  against currency  fluctuations.
Risks may arise upon entering these transactions from the potential inability of
counterparties  to meet the terms of their  commitments  and from  unanticipated
movements in security  prices or foreign  exchange rates.  The foreign  currency
transactions are adjusted by the daily exchange rate of the underlying  currency
and any gains or  losses  are  recorded  for  financial  statement  purposes  as
unrealized until the settlement date.

At May 31, 2004, the Fund had no outstanding foreign currency commitments.

Foreign Currency Translation

The accounting  records of the Fund are maintained in U.S.  dollars.  All assets
and  liabilities  denominated in foreign  currencies  ("FC") are translated into
U.S.  dollars  based on the rate of exchange  of such  currencies  against  U.S.
dollars on the date of valuation.  Purchases and sales of securities, income and
expenses are translated at the rate of exchange  quoted on the  respective  date
that such  transactions are recorded.  The Fund does not isolate that portion of
the results of operations  resulting  from changes in foreign  exchange rates on
investments  from the  fluctuations  arising  from  changes in market  prices of
securities  held.  Such  fluctuations  are  included  with the net  realized and
unrealized gain or loss from investments.

Reported  net  realized  foreign  exchange  gains or losses  arise from sales of
portfolio securities,  sales and maturities of short-term  securities,  sales of
FCs, currency gains or losses realized between the trade and settlement dates on
securities  transactions,  the  difference  between  the  amounts of  dividends,
interest and foreign  withholding  taxes  recorded on the Fund's books,  and the
U.S. dollar  equivalent of the amounts actually received or paid. Net unrealized
foreign  exchange gains and losses arise from changes in the value of assets and
liabilities  other than investments in securities at fiscal year end,  resulting
from changes in the exchange rate.

Restricted Securities

Restricted  securities are securities that may only be resold upon  registration
under federal securities laws or in transactions  exempt from such registration.
In some cases,  the issuer of restricted  securities has agreed to register such
securities for resale, at the issuer's expense either upon demand by the Fund or
in  connection  with  another  registered  offering  of  the  securities.   Many
restricted  securities  may be resold in the  secondary  market in  transactions
exempt from  registration.  Such  restricted  securities may be determined to be
liquid under criteria established by the Directors.  The Fund will not incur any
registration  costs upon such  resales.  The Fund's  restricted  securities  are
valued at the price provided by dealers in the secondary market or, if no market
prices  are  available,  at the fair  value as  determined  in  accordance  with
procedures established by and under the general supervision of the Directors.

Use of Estimates

The  preparation  of  financial  statements  in  conformity  with GAAP  requires
management to make estimates and assumptions  that affect the amounts of assets,
liabilities,  expenses and revenues reported in the financial statements. Actual
results could differ from those estimated.

Other

Investment transactions are accounted for on a trade date basis.

3. Contributions/withdrawals

Transactions in shares were as follows:

                                         Six
                                         Months
                                         Ended
                                         (unaudited)   Year Ended
                                         5/31/2004     11/30/2003

Proceeds from contributions              415,198         5,035,032
Fair value of withdrawals                (2,565,318)   (3,257,885)
total change resulting from              (2,150,120)     1,777,147
contributions/withdrawals

4. FEDERAL TAX INFORMATION

At  May  31,  2004  the  cost  of  investments  for  federal  tax  purposes  was
$94,419,137.  The net unrealized  depreciation  of  investments  for federal tax
purposes  was  $333,022.  This  consists  of  net  unrealized  apreciation  from
investments  for  those  securities  having  an  excess  of value  over  cost of
$2,541,795 and net unrealized depreciation from investments for those securities
having an excess of cost over value of $2,874,817.

5. INVESTMENT ADVISER FEE AND OTHER TRANSACTIONS WITH AFFILIATES

Investment Adviser Fee

Federated  Investment  Counseling ("FIC"), is the Fund's investment adviser (the
"Adviser"), subject to the direction of the Directors. Prior to January 1, 2004,
the Fund's investment adviser was Federated Global Investment  Management Corp.,
("FGIMC").  The Adviser provides  investment adviser services at no fee. FIC and
FGIMC may  voluntarily  choose to reimburse  certain  operating  expenses of the
Fund.  FIC and FGIMC can modify or terminate this  reimbursement  at any time at
their sole discretion.

Administrative Fee

Federated  Administrative  Services,  Inc.  ("FASI"),  a subsidiary of Federated
Investors,  Inc.,  provides  administrative  personnel  and services  (including
certain legal and financial  reporting  services) necessary to operate the Fund.
FASI provides these services at an annual rate that ranges from 0.150% to 0.075%
of the  average  aggregate  net  assets of all funds  advised by  affiliates  of
Federated  Investors,  Inc. FASI may voluntarily  choose to waive any portion of
its fee.  FASI  may  terminate  this  voluntary  waiver  at any time at its sole
discretion.

Transfer and Dividend Disbursing Agent Fees and Expenses

FASI serves as transfer and dividend disbursing agent for the Fund. The fee paid
to FASI is based on the size, type and number of accounts and transactions  made
by shareholders. FASI may voluntarily choose to waive certain operating expenses
of the Fund.  FASI can modify or  terminate  this waiver at any time at its sole
discretion.

Portfolio Accounting Fees

FASI  maintains the Fund's  accounting  records for which it receives a fee. The
fee is based on the level of the Fund's average daily net assets for the period,
plus out-of-pocket expenses. FASI may voluntarily choose to waive any portion of
its fee. FASI can modify or terminate this  voluntary  waiver at any time at its
sole discretion.

General

Certain of the Officers and Directors of the Trust are Officers and Directors or
Trustees of the above companies.

6. Investment TRANSACTIONS

Purchases  and  sales  of  investments,   excluding  long-term  U.S.  government
securities and short-term obligations (and in-kind  contributions),  for the six
months ended May 31, 2004, were as follows:

Purchases                                                  $24,254,576
Sales                                                      $45,294,603

7. CONCENTRATION OF CREDIT RISK

Compared to diversified mutual funds, the Fund may invest a higher percentage of
its assets  among fewer  issuers of portfolio  securities.  This  increases  the
Fund's risk by magnifying the impact  (positively  or  negatively)  that any one
issuer  has on the  Fund's  share  price and  performance.  The Fund  invests in
securities on non-U.S.  issuers. The political or economic developments within a
particular  country  or region  may have an  adverse  effect on the  ability  of
domiciled issuers to meet their obligations. Additionally, political or economic
developments  may have an effect on the  liquidity  or  volatility  of portfolio
securities and currency holdings.

At May 31, 2004, the diversification of countries was as follows:

                   Percentage of
Country              Net Assets
Mexico                 26.2%
Russia                 19.8%
Brazil                 15.1%
Venezuela               7.1%
Philippines             5.7%
Colombia                4.7%
Turkey                  4.7%
Peru                    2.0%
Ukraine                 1.4%
Bulgaria                1.3%
Malaysia                1.1%
Guatemala               0.9%
El Salvador             0.9%
Panama                  0.7%
Tunisia                 0.7%

8. Legal Proceedings

In October,  2003,  Federated  Investors,  Inc. and various subsidiaries thereof
(including  the  advisers  and  distributor  for various  investment  companies,
collectively, "Federated"), along with various investment companies sponsored by
Federated  ("Funds"),  were named as defendants in several class action lawsuits
now pending in the United  States  District  Court for the  District of Maryland
seeking damages of unspecified  amounts.  The lawsuits were purportedly filed on
behalf   of   people   who   purchased,   owned   and/or   redeemed   shares  of
Federated-sponsored  mutual funds during specified periods beginning November 1,
1998.  The suits are  generally  similar in alleging that  Federated  engaged in
illegal and improper trading practices  including market timing and late trading
in concert with certain institutional  traders, which allegedly caused financial
injury to the mutual fund shareholders.  The Board of the Funds has retained the
law firm of Dickstein  Shapiro  Morin & Oshinsky  LLP to represent  the Funds in
these  lawsuits.  Federated and the Funds,  and their  respective  counsel,  are
reviewing the allegations and will respond  appropriately.  Additional  lawsuits
based upon similar  allegations  have been filed, and others may be filed in the
future.  Although  Federated  does not believe that these  lawsuits  will have a
material  adverse  effect on the  Funds,  there can be no  assurance  that these
suits, the ongoing adverse  publicity and/or other  developments  resulting from
related regulatory investigations will not result in increased Fund redemptions,
reduced sales of Fund shares, or other adverse consequences for the Funds.












CAPITAL APPRECIATION CORE FUND
PORTFOLIO OF INVESTMENTS
May 31, 2004 (unaudited)

 Shares                                                                  Value
- ------------------------------------------------------------------------------
             Common Stocks--98.8%
             Consumer Discretionary--9.2%
$    34,900  Clear Channel Communications, Inc.                    $ 1,385,530
     80,200  Home Depot, Inc.                                        2,880,784
     32,600  Johnson Controls, Inc.                                  1,757,792
     81,100  McDonald's Corp.                                        2,141,040
     23,900  Nike, Inc., Class B                                     1,700,485
     19,900  Omnicom Group, Inc.                                     1,589,413
     52,300  Target Corp.                                            2,337,810
     74,013  Viacom, Inc., Class B                                   2,730,339
    130,000  Walt Disney Co.                                         3,051,100
                 Total                                              19,574,293
             Consumer Staples--11.0%
     77,200  Altria Group, Inc.                                      3,703,284
     61,200  Coca-Cola Co.                                           3,142,620
     58,700  Gillette Co.                                            2,529,383
    102,300  Kroger Co.                                              1,707,387
     49,500  PepsiCo, Inc.                                           2,641,815
     16,400  Procter & Gamble Co.                                    1,768,248
     76,400  Sara Lee Corp.                                          1,749,560
    111,700  Wal-Mart Stores, Inc.                                   6,225,041
                 Total                                              23,467,338
             Energy--6.4%
     21,537  ChevronTexaco Corp.                                     1,946,945
     21,800  ConocoPhillips                                          1,598,594
    160,364  Exxon Mobil Corp.                                       6,935,743
     62,000  Halliburton Co.                                         1,800,480
     54,100 1Transocean Sedco Forex, Inc.                            1,446,093
                 Total                                              13,727,855
             Financials--16.6%
     49,604  Allstate Corp.                                          2,181,584
     82,616  American International Group, Inc.                      6,055,753
     33,446  Bank of America Corp.                                   2,780,366
     61,400  Bank of New York Co., Inc.                              1,846,298
    103,365  Citigroup, Inc.                                         4,799,237
     30,000  Federal National Mortgage Association                   2,031,000
    106,500  J.P. Morgan Chase & Co.                                 3,923,460
     21,600  Lehman Brothers Holdings, Inc.                          1,634,040
     64,400  MBNA Corp.                                              1,635,760
     28,000  Merrill Lynch & Co., Inc.                               1,590,400
     57,800  Morgan Stanley                                          3,092,878
     34,800  Wachovia Corp.                                          1,642,908
     33,100  Wells Fargo & Co.                                       1,946,280
                 Total                                              35,159,964
             Healthcare--14.3%
     35,000  Abbott Laboratories                                     1,442,350
     52,200  Baxter International, Inc.                              1,641,168
     29,885 1Biogen Idec, Inc.                                       1,857,353
     44,300 1Boston Scientific Corp.                                 1,962,490
     50,700  Bristol-Myers Squibb Co.                                1,281,189
     29,600 1Forest Laboratories, Inc., Class A                      1,876,344
      3,500 1Hospira, Inc.                                              89,740
     49,700  Johnson & Johnson                                       2,768,787
     22,700  Lilly (Eli) & Co.                                       1,672,309
     50,800  McKesson HBOC, Inc.                                     1,747,520
     69,400 1Medimmune, Inc.                                         1,670,458
     33,700  Medtronic, Inc.                                         1,614,230
     52,800  Merck & Co., Inc.                                       2,497,440
    156,141  Pfizer, Inc.                                            5,518,023
     92,000  Schering Plough Corp.                                   1,554,800
     30,200  Wyeth                                                   1,087,200
                 Total                                              30,281,401
             Industrials--13.1%
     18,500  Caterpillar, Inc.                                       1,393,975
     73,900  Cendant Corp.                                           1,695,266
     44,800  Danaher Corp.                                           2,106,944
     18,300  Deere & Co.                                             1,202,310
     21,100  FedEx Corp.                                             1,552,538
    256,100  General Electric Co.                                    7,969,832
     35,200  Ingersoll-Rand Co., Class A                             2,298,560
     56,200  Masco Corp.                                             1,626,990
     49,800  Raytheon Co.                                            1,655,850
     36,400  Textron, Inc.                                           1,989,260
     79,400  Tyco International Ltd.                                 2,444,726
     65,200  Waste Management, Inc.                                  1,875,152
                 Total                                              27,811,403
             Information Technology--19.7%
     68,000 1Advanced Micro Devices, Inc.                            1,057,400
    225,300 1Applied Materials, Inc.                                 4,496,988
    149,700 1Cisco Systems, Inc.                                     3,315,855
     59,600 1Dell, Inc.                                              2,096,728
     54,500  First Data Corp., Class                                 2,359,305
    235,512  Hewlett-Packard Co.                                     5,002,275
     31,700  IBM Corp.                                               2,808,303
    176,300  Intel Corp.                                             5,033,365
     45,300 1KLA-Tencor Corp.                                        2,182,554
     47,300 1Lam Research Corp.                                      1,188,649
     25,400 1Lexmark International Group, Class A                    2,395,728
     32,400  Maxim Integrated Products, Inc.                         1,646,892
    263,700  Microsoft Corp.                                         6,948,495
    120,600 1Oracle Corp.                                            1,365,192
                 Total                                              41,897,729
             Materials--3.0%
     67,500  Alcoa, Inc.                                             2,112,750
     47,100  Du Pont (E.I.) de Nemours & Co.                         2,034,720
     51,900  International Paper Co.                                 2,176,167
                 Total                                               6,323,637
             Telecommunication Services--4.7%
     89,741  AT&T Corp.                                              1,487,906
     95,300  BellSouth Corp.                                         2,378,688
    119,900  SBC Communications, Inc.                                2,841,630
     93,018  Verizon Communications                                  3,216,562
                 Total                                               9,924,786
             Utilities--0.8%
     61,000 1P G & E Corp.                                           1,738,500
                 Total Common Stocks (identified cost               209,906,906
                 $199,129,103)

             Repurchase Agreements--1.1%
  2,286,000  Interest in $1,500,000,000 joint repurchase
             agreement with Banc of America Securities LLC,
             1.05%, dated 5/28/2004, to be repurchased at
             $2,286,267 on 6/1/2004, collateralized by U.S,
             Government Agency Obligations with various
             maturities to 10/1/2003, collateral market value
             $1,530,039,205 (at amortized cost)                      2,286,000
                 Total Investments--99.9%                          212,192,906
             ---------------------------------------------------
                 (identified cost $201,415,103)2
                 other assets and liabilities--0.1%                     235,443
                 total net assets--100%                             $212,428,349

- ---------------------------------------------------------------------------

    1 Non-income producing security.
    2 The cost of investments for federal tax purposes amounts to $201,415,103.


Note: The categories of investments are shown as a percentage of total net
      assets at May 31, 2004.

See Notes which are an integral part of the Financial Statements

CAPITAL APPRECIATION CORE FUND
STATEMENT OF ASSETS AND LIABILITIES
May 31, 2004 (unaudited)

Assets:
Total investments in securities, at value
(identified cost $201,415,103)                           $    212,192,906
Cash                                                                  626
Income receivable                                                 279,966
  Total assets                                                212,473,498
Liabilities:
Payable for transfer and dividend disbursing
agent fees and expenses (Note 5)                4,691
Accrued expenses                               40,458
  Total liabilities                                                45,149
Net assets for 19,763,693 shares outstanding             $    212,428,349
Net Assets Consist of:
Paid in capital                                          $    197,699,999
Net unrealized appreciation of investments                     10,777,803
Accumulated net realized gain on investments                    2,006,385
Undistributed net investment income                             1,944,162
  Total Net Assets                                       $    212,428,349
Net Asset Value, Offering Price and
Redemption Proceeds Per Share
$212,428,349 / 19,763,693 shares outstanding                       $10.75

==========================================================================
See Notes which are an integral part of the Financial Statements

CAPITAL APPRECIATION CORE FUND
STATEMENT OF OPERATIONS
Six Months Ended May 31, 2004 (unaudited)




                                                                        

Investment Income:
Dividends                                                           $         1,766,273
Interest                                                                         12,867
  Total income                                                                1,779,140
Expenses:
Administrative personnel and
services fee (Note 5)                                        79,610
Custodian fees                                               12,496
Transfer and dividend
disbursing agent fees and
expenses  (Note 5)                                            7,390
Auditing fees                                                 6,681
Legal fees                                                    2,905
Portfolio accounting fees (Note
5)                                                           39,037
Insurance premiums                                            3,934
Miscellaneous                                                   150
  Total expenseS                                            152,203
Waiver and Reimbursement (Note
5):
Waiver of administrative
personnel and services fee           $      (79,610)
Reimbursement of other
operating expenses                          (14,474)
     TOTAL WAIVER AND
REIMBURSEMENT                                               (94,084)
Net expenses                                                                     58,119
Net investment income                                                         1,721,021
Realized and Unrealized Gain on
Investments:
Net realized gain on
investments                                                                   2,177,167
Net change in unrealized
appreciation of investments                                                   8,175,358
Net realized and unrealized
gain on investments                                                          10,352,525
Change in net assets resulting
from operations                                                     $        12,073,546



See Notes which are an integral part of the Financial Statements
===========================================================================

CAPITAL APPRECIATION CORE FUND
STATEMENT OF CHANGES IN NET ASSETS


                                                      Six
                                                   Months
                                                    Ended               Period
                                              (unaudited)                Ended
                                                5/31/2004          11/30/20031
Increase (Decrease) in Net Assets
Operations:
Net investment income                  $        1,721,021      $       223,141
Net realized gain (loss) on
investments                                     2,177,167             (170,782)
Net change in unrealized
appreciation/depreciation of
investments                                     8,175,358            2,602,445
  Change in net assets resulting
  from operations                              12,073,546            2,654,804
Share Transactions:
Proceeds from sale of shares                   28,600,000          182,900,100
Cost of shares redeemed                       (13,800,000)               (101)
  Change in net assets resulting
  from share transactions                      14,800,000          182,899,999
Change in net assets                           26,873,546          185,554,803
Net Assets:
Beginning of period                           185,554,803                  ---
End of period (including
undistributed net investment income
of $1,944,162 and $223,141,
respectively)                          $      212,428,349      $   185,554,803

1 For the period from October 28, 2003 (date of initial investment) to
November 30, 2003.
===========================================================================
See Notes which are an integral part of the Financial Statements

CAPITAL APPRECIATION CORE FUND
FINANCIAL HIGHLIGHTS
(For a Share Outstanding Throughout Each Period)

                             Six
                             Months
                             Ended               Period
                             (unaudited)          Ended
                              5/31/2004      11/30/2003 1
Net Asset Value, Beginning
of Period                        $10.14          $10.00

Income From Investment
Operations:
Net investment income              0.09            0.01
Net realized and
unrealized gain on
investments                        0.52            0.13
Total from investment
operations                         0.61            0.14
Net Asset Value, End of
Period                           $10.75          $10.14
Total Return2                      6.02%          1.40%

Ratios to Average Net
Assets:
Expenses                           0.05 %3         0.05 %3
Net investment income              1.63 %3         2.21 %3
Expense
waiver/reimbursement4              0.09 %3         0.49 %3

Supplemental Data:
Net assets, end of period
(000 omitted)                  $212,428        $185,555
Portfolio turnover                   34 %             8 %

1    Reflects  operations  for the period from October 28, 2003 (date of initial
     investment) to November 30, 2003.

2    Based on net asset  value,  which  does not  reflect  the  sales  charge or
     contingent deferred sales charge, if applicable.

3    Computed on an annualized basis.

4    This  voluntary  expense  decrease is reflected in both the expense and the
     net investment income ratios shown above.

See Notes which are an integral part of the Financial Statements

FEDERATED CAPITAL APPRECIATION CORE FUND


NOTES TO FINANCIAL STATEMENTS


May 31, 2004 (unaudited)

1. ORGANIZATION

Capital  Appreciation  Core Fund (the  "Fund")  is a  diversified  portfolio  of
Federated Core Trust II, L.P. (the "Trust").  The Trust is registered  under the
Investment  Company Act of 1940, as amended (the "Act").  The Trust is a limited
partnership  that was  established  under the laws of the State of  Delaware  on
November 13, 2000 and offered only to registered  investment companies and other
accredited  investors.  The Trust  consists  of two  portfolios.  The  financial
statements included herein are only those of the Fund. The investment  objective
of the Fund is to  provide  capital  appreciation.  Currently,  the Fund is only
available for purchase by other Federated funds and their affiliates.

2. SIGNIFICANT ACCOUNTING POLICIES

The  following  is a summary of  significant  accounting  policies  consistently
followed  by the Fund in the  preparation  of its  financial  statements.  These
policies  are  in  conformity  with  generally  accepted  accounting  principles
("GAAP") in the United States of America.

Investment Valuation

Listed equity  securities are valued at the last sale price or official  closing
price  reported on a national  securities  exchange.  Short-term  securities are
valued at the  prices  provided  by an  independent  pricing  service.  However,
short-term  securities with remaining  maturities of 60 days or less at the time
of purchase  may be valued at amortized  cost,  which  approximates  fair value.
Investments in other open-end regulated  investment  companies are valued at net
asset value. Securities for which no quotations are readily available are valued
at fair value as determined in good faith using methods approved by the Board of
Directors (the "Directors").

Repurchase Agreements

It is the policy of the Fund to require the custodian  bank to take  possession,
to have legally  segregated in the Federal Reserve Book Entry System, or to have
segregated  within the custodian bank's vault, all securities held as collateral
under  repurchase  agreement  transactions.  Additionally,  procedures have been
established by the Fund to monitor,  on a daily basis,  the market value of each
repurchase  agreement's collateral to ensure that the value of the collateral at
least equals the repurchase price to be paid under the repurchase agreement.

The Fund  will  only  enter  into  repurchase  agreements  with  banks and other
recognized financial institutions,  such as broker/dealers,  which are deemed by
the  Fund's  adviser  to be  creditworthy  pursuant  to  the  guidelines  and/or
standards  reviewed or established  by the  Directors.  Risks may arise from the
potential  inability  of  counterparties  to honor the  terms of the  repurchase
agreement. Accordingly, the Fund could receive less than the repurchase price on
the  sale of  collateral  securities.  The  Fund  along  with  other  affiliated
investment  companies,  may utilize a joint  trading  account for the purpose of
entering into one or more repurchase agreements.

Investment Income, Expenses, Distributions and Tax

Interest  income and expenses are accrued daily.  Dividend income is recorded on
the ex-dividend date.  Non-cash  dividends  included in dividend income, if any,
are  recorded  at fair  value.  All  net  income  and  gain/loss  (realized  and
unrealized) will be allocated daily to the  shareholders  based on their capital
contributions to the Fund. The Fund does not currently intend to declare and pay
distributions.

Premium and Discount Amortization

All premiums and discounts on fixed income securities are amortized/accreted for
financial statement purposes.

Federal Taxes

As a partnership,  the Fund is not subject to U.S. federal income tax.  Instead,
each  investor  reports  separately  on its own  federal  income  tax return its
allocated portion of the Fund's income, gains, losses, deductions and credits.

When-Issued and Delayed Delivery Transactions

The Fund may engage in when-issued or delayed  delivery  transactions.  The Fund
records  when-issued  securities  on  the  trade  date  and  maintains  security
positions such that  sufficient  liquid assets will be available to make payment
for the securities  purchased.  Securities purchased on a when-issued or delayed
delivery  basis are marked to market  daily and begin  earning  interest  on the
settlement date. Losses may occur on these transactions due to changes in market
conditions or the failure of counterparties to perform under the contract.

Use of Estimates

The  preparation  of  financial  statements  in  conformity  with GAAP  requires
management to make estimates and assumptions  that affect the amounts of assets,
liabilities,  expenses and revenues reported in the financial statements. Actual
results could differ from those estimated.

Other

Investment transactions are accounted for on a trade date basis.

3. Contributions/withdrawAls

Transactions in shares were as follows:

                                       Six
                                       Months
                                       Ended
                                       (unaudited)    Period
                                       5/31/2004      Ended
                                                      11/30/2003 1
- ---------------------------------------------------------------------
Proceeds from contributions            2,713,783      18,305,997
Fair value withdrawals                 (1,256,077)    (10)
  TOTAL CHANGE RESULTING FROM          1,457,706      18,305,987
  CONTRIBUTIONS/WITHDRAWALS
- ---------------------------------------------------------------------

1    Reflects  operations  for the period from October 28, 2003 (date of initial
     investment) to November 30, 2003.
======================================================================

4. FEDERAL TAX INFORMATION

At May  31,  2004,  the  cost  of  investments  for  federal  tax  purposes  was
$201,415,103.  The net unrealized  appreciation  of investments  for federal tax
purposes was  $10,777,803.  This consists of net  unrealized  appreciation  from
investments  for  those  securities  having  an  excess  of value  over  cost of
$13,574,201  and  net  unrealized   depreciation   from  investments  for  those
securities having an excess of cost over value of $2,796,398.

5. INVESTMENT ADVISER FEE AND OTHER TRANSACTIONS WITH AFFILIATES

Investment Adviser Fee

Federated  Investment   Counseling.   is  the  Fund's  investment  adviser  (the
"Adviser"),  subject to the  direction of the  Directors.  The Adviser  provides
investment  adviser  services at no fee. The Adviser may  voluntarily  choose to
reimburse  certain  operating  expenses  of the Fund.  The Adviser can modify or
terminate this reimbursement at any time at its sole discretion.

Administrative Fee

Federated  Administrative  Services,  Inc.  ("FASI"),  a subsidiary of Federated
Investors,  Inc.,  provides  administrative  personnel  and services  (including
certain legal and financial  reporting  services) necessary to operate the Fund.
FASI provides these services at an annual rate that ranges from 0.150% to 0.075%
of the  average  aggregate  net  assets of all funds  advised by  affiliates  of
Federated  Investors,  Inc. FASI may voluntarily  choose to waive any portion of
its fee.  FASI  may  terminate  this  voluntary  waiver  at any time at its sole
discretion.

Transfer and Dividend Disbursing Agent Fees and Expenses

FASI serves as transfer and dividend disbursing agent for the Fund. The fee paid
to FASI is based on the size, type and number of accounts and transactions  made
by  shareholders.  FASI may voluntarily  choose to waive any portion of its fee.
FASI can  modify  or  terminate  this  voluntary  waiver at any time at its sole
discretion.

Portfolio Accounting Fees

FASI  maintains the Fund's  accounting  records for which it receives a fee. The
fee is based on the level of the Fund's average daily net assets for the period,
plus out-of-pocket expenses. FASI may voluntarily choose to waive any portion of
its fee. FASI can modify or terminate this  voluntary  waiver at any time at its
sole discretion.

General

Certain of the Officers and Directors of the Trust are Officers and Directors or
Trustees of the above companies.

6. Investment Transactions

Purchases  and  sales  of  investments,   excluding  long-term  U.S.  government
securities and short-term obligations (and in-kind  contributions),  for the six
months ended May 31, 2004, were as follows:

Purchases                                                  $86,682,629
Sales                                                      $71,345,752

7. Legal Proceedings

In October,  2003,  Federated  Investors,  Inc. and various subsidiaries thereof
(including  the  advisers  and  distributor  for various  investment  companies,
collectively, "Federated"), along with various investment companies sponsored by
Federated  ("Funds"),  were named as defendants in several class action lawsuits
now pending in the United  States  District  Court for the  District of Maryland
seeking damages of unspecified  amounts.  The lawsuits were purportedly filed on
behalf   of   people   who   purchased,   owned   and/or   redeemed   shares  of
Federated-sponsored  mutual funds during specified periods beginning November 1,
1998.  The suits are  generally  similar in alleging that  Federated  engaged in
illegal and improper trading practices  including market timing and late trading
in concert with certain institutional  traders, which allegedly caused financial
injury to the mutual fund shareholders.  The Board of the Funds has retained the
law firm of Dickstein  Shapiro  Morin & Oshinsky  LLP to represent  the Funds in
these  lawsuits.  Federated and the Funds,  and their  respective  counsel,  are
reviewing the allegations and will respond  appropriately.  Additional  lawsuits
based upon similar  allegations  have been filed, and others may be filed in the
future.  Although  Federated  does not believe that these  lawsuits  will have a
material  adverse  effect on the  Funds,  there can be no  assurance  that these
suits, the ongoing adverse  publicity and/or other  developments  resulting from
related regulatory investigations will not result in increased Fund redemptions,
reduced sales of Fund shares, or other adverse consequences for the Funds.














Item 2.     Code of Ethics

            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

            Not Applicable

Item 10.    Controls and Procedures

(a)  The   registrant's   President  and  Treasurer   have  concluded  that  the
     registrant's  disclosure  controls  and  procedures  (as  defined  in  rule
     30a-3(c)  under the Act) are  effective  in design  and  operation  and are
     sufficient to form the basis of the certifications required by Rule 30a-(2)
     under the Act, based on their evaluation of these  disclosure  controls and
     procedures within 90 days of the filing date of this report on Form N-CSR.

(b)  There were no changes in the  registrant's  internal control over financial
     reporting  (as  defined  in rule  30a-3(d)  under the Act)  during the last
     fiscal  half  year  (the  registrant's  second  half year in the case of an
     annual report) that have materially  affected,  or are reasonably likely to
     materially  affect,  the  registrant's   internal  control  over  financial
     reporting.

Item 11.    Exhibits


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.

Registrant  Federated Core Trust II, L.P.

By          /S/ Richard J. Thomas, Principal Financial Officer
Date        July 22, 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/ J. Christopher Donahue, Principal Executive Officer
Date        July 23, 2004


By          /S/ Richard J. Thomas, Principal Financial Officer
Date        July 22, 2004