I, J. Christopher Donahue, certify that:

1.   I have reviewed this report on Form N-CSR of Federated Premier Intermediate
     Municipal Income Fund ("registrant");

2.   Based on my knowledge, this report does not contain any untrue statement of
     a material  fact or omit to state a  material  fact  necessary  to make the
     statements made, in light of the circumstances  under which such statements
     were made,  not  misleading  with  respect  to the  period  covered by this
     report;

3.   Based on my  knowledge,  the  financial  statements,  and  other  financial
     information  included  in  this  report,  fairly  present  in all  material
     respects the financial  condition,  results of  operations,  changes in net
     assets, and cash flows (if the financial statements are required to include
     a statement  of cash flows) of the  registrant  as of, and for, the periods
     presented in this report;

4.   The  registrant's  other  certifying  officers  and I are  responsible  for
     establishing and maintaining disclosure controls and procedures (as defined
     in  rule  30a-3(c)  under  the  Investment  Company  Act of  1940)  for the
     registrant and have:

     a.   designed  such  disclosure  controls  and  procedures,  or caused such
          disclosure   controls  and   procedures  to  be  designed   under  our
          supervision,  to ensure  that  material  information  relating  to the
          registrant,  including its consolidated subsidiaries, is made known to
          us by others within those entities,  particularly during the period in
          which this report is being prepared;

     b.   NA

     c.   evaluated the  effectiveness of the registrant's  disclosure  controls
          and procedures and presented in this report our conclusions  about the
          effectiveness of the disclosure controls and procedures,  as of a date
          within 90 days prior to the filing date of this  report  based on such
          evaluation; and

     d.   disclosed  in this  report  any  change in the  registrant's  internal
          control over financial reporting that occurred during the registrant's
          most recent fiscal half-year (the registrant's second half-year in the
          case  of  an  annual  report)  that  has  materially  affected,  or is
          reasonably  likely to materially  affect,  the  registrant's  internal
          control over financial reporting; and

5.   The  registrant's  other  certifying  officers and I have  disclosed to the
     registrant's  auditors and the audit committee of the registrant's board of
     directors (or persons performing the equivalent functions):

     a.   all significant  deficiencies and material weaknesses in the design or
          operation  of internal  control  over  financial  reporting  which are
          reasonably  likely to  adversely  affect the  registrant's  ability to
          record, process, summarize, and report financial information; and

     b.   any fraud, whether or not material,  that involves management or other
          employees who have a  significant  role in the  registrant's  internal
          control over financial reporting.




Date: January 27, 2004
/S/ J. Christopher Donahue
President - Principal Executive Officer










I, Richard J. Thomas, certify that:

1.    I have reviewed this report on Form N-CSR of Federated Premier
      Intermediate Municipal Income Fund("registrant");

2.    Based on my knowledge, this report does not contain any untrue
      statement of a material fact or omit to state a material fact necessary
      to make the statements made, in light of the circumstances under which
      such statements were made, not misleading with respect to the period
      covered by this report;

3.    Based on my knowledge, the financial statements, and other financial
      information included in this report, fairly present in all material
      respects the financial condition, results of operations, changes in net
      assets, and cash flows (if the financial statements are required to
      include a statement of cash flows) of the registrant as of, and for,
      the periods presented in this report;

4.    The registrant's other certifying officers and I are responsible for
      establishing and maintaining disclosure controls and procedures (as
      defined in rule 30a-3(c) under the Investment Company Act of 1940) for
      the registrant and have:

a.    designed such disclosure controls and procedures, or caused such
            disclosure controls and procedures to be designed under our
            supervision, to ensure that material information relating to the
            registrant, including its consolidated subsidiaries, is made
            known to us by others within those entities, particularly during
            the period in which this report is being prepared;

b.    NA

c.    evaluated the effectiveness of the registrant's disclosure controls and
            procedures and presented in this report our conclusions about the
            effectiveness of the disclosure controls and procedures, as of a
            date within 90 days prior to the filing date of this report based
            on such evaluation; and

d.    disclosed in this report any change in the registrant's internal
            control over financial reporting that occurred during the
            registrant's most recent fiscal half-year (the registrant's
            second half-year in the case of an annual report) that has
            materially affected, or is reasonably likely to materially
            affect, the registrant's internal control over financial
            reporting; and

5.    The registrant's other certifying officers and I have disclosed to the
      registrant's auditors and the audit committee of the registrant's board
      of directors (or persons performing the equivalent functions):

a.    all significant deficiencies and material weaknesses in the design or
            operation of internal control over financial reporting which are
            reasonably likely to adversely affect the registrant's ability to
            record, process, summarize, and report financial information; and

b.    any fraud, whether or not material, that involves management or other
            employees who have a significant role in the registrant's
            internal control over financial reporting.




Date: January 27, 2004
/S/ Richard J. Thomas
Treasurer - Principal Financial Officer