<PAGE>   1
                                                                Exhibit 4.13


     Unless this certificate is presented by an authorized representative of The
Depository Trust Company, a New York corporation ("DTC"), to the issuer or its
agent for registration of transfer, exchange, or payment, and any certificate
issued is registered in the name of Cede & Co. or in such other name as is
requested by an authorized representative of DTC (and any payment is made to
Cede & Co. or to such other entity as is requested by an authorized
representative of DTC), ANY TRANSFER, PLEDGE, OR OTHER USE HEREOF FOR VALUE OR
OTHERWISE BY OR TO ANY PERSON IS WRONGFUL inasmuch as the registered owner
hereof, Cede & Co., has an interest herein.

                            FIRST INDUSTRIAL, L.P.

                 6 1/2% DEALER REMARKETABLE SECURITY_ ("DRS._")
                               DUE APRIL 5, 2011

No. 1

$100,000,000                                                  CUSIP: 322055RAD9

     First Industrial, L.P., a Delaware limited partnership (hereinafter called
the "COMPANY"), for value received, hereby promises to pay to CEDE & CO. or
registered assigns, the principal sum of ONE HUNDRED MILLION U.S. DOLLARS on
April 5, 2011, at the office or agency of the Company in the Borough of
Manhattan, The City of New York, State of New York, in such coin or currency of
the United States of America as at the time of payment shall be legal tender
for the payment of public and private debts, and to pay interest, semi-annually
on April 5 and October 5 of each year (each, an "INTEREST PAYMENT DATE"), on
said principal sum at the rate per annum specified below, at such office or
agency, in like coin or currency, from the April 5 or October 5, as the case
may be, to which interest on the Securities has been paid preceding the date
hereof (unless the date hereof is an April 5 or an October 5 to which interest
has been paid, in which case from the date hereof, or unless the date hereof is
prior to any interest having been paid, in which case from March 31, 1998)
until payment of said principal sum has been made or duly provided for. If the
Company shall default in the payment of interest when due on such April 5 or
October 5, then this Security shall bear interest from the next preceding date
to which interest has been paid, or, if no interest has been paid, from March
31, 1998.  The interest so payable on any April 5 or October 5 shall be paid to
the person in whose name this Security shall be registered at the close of
business on the fifteenth calendar day (whether or not a Business Day)
immediately preceding the related Interest Payment Date (each, a "REGULAR
RECORD DATE"). For purposes of this Security, "BUSINESS DAY" means any day
other than a Saturday, a Sunday or a day on which banking institutions in the
City of New York or the City of Chicago are authorized or obligated by law,
regulation or executive order to be closed.

---------------
"Dealer remarketable security" and "Drs." are service marks of J.P. Morgan
Securities Inc.


<PAGE>   2



     If and to the extent the Company shall default in the payment of the
interest due on any interest payment date, such defaulted interest shall be
paid to the person in whose name this Security is registered at the close of
business on a record date established for such payment by notice by or on
behalf of the Company to the holders of the Securities mailed by first-class
mail not less than fifteen days prior to such record date to their last address
as they shall appear upon the Security register, such record date to be not
less than five days preceding the date of payment of such defaulted interest.
The Company may pay interest by check mailed to the holder's address as it
appears on the Security register.

     The rate of interest on this Security shall be 6 1/2% per annum to April
5, 2001 (the "REMARKETING DATE"). If the Remarketing Dealer elects to remarket
the Securities pursuant to the Remarketing Agreement dated as of March 31, 1998
(the "REMARKETING AGREEMENT") between J.P. Morgan Securities Inc., as
Remarketing Dealer (the "REMARKETING DEALER"), and the Company, then, except as
otherwise set forth on the reverse hereof, (i) this Security shall be subject
to mandatory tender to the Remarketing Dealer for remarketing on the
Remarketing Date, on the terms and subject to the conditions set forth on the
reverse hereof, and (ii) on and after the Remarketing Date, this Security shall
bear interest at the rate determined by the Remarketing Dealer in accordance
with the procedures set forth in Section 4 on the reverse hereof (the "INTEREST
RATE TO MATURITY").  If the Remarketing Dealer does not remarket the Securities
pursuant to the Remarketing Agreement, this Security shall be subject to
mandatory tender to the Company for repurchase on the Remarketing Date, on the
terms and subject to the conditions set forth on the reverse hereof.

     Reference is hereby made to the further provisions of this Security set
forth on the reverse hereof and such further provisions shall for all purposes
have the same effect as though fully set forth at this place.

     This Security shall not be valid or become obligatory for any purpose
until the certificate of authentication hereon shall have been executed by the
Trustee under the Indenture referred to on the reverse hereof.

                                      2


<PAGE>   3



     IN WITNESS WHEREOF, First Industrial, L.P. has caused this Security to be
signed by its duly authorized officers and has caused its corporate seal to be
affixed hereunto.

                                FIRST INDUSTRIAL, L.P.

                                By: First Industrial Realty Trust, Inc.,
Attest:                             its General Partner
_________________________       By: ____________________________________
Secretary                           Title:



                   Certificate of Authentication
This is one of the Securities of the series designated therein and
described in the withinmentioned Indenture.

                                First Trust National Association
                                    as Trustee
                                By: Authorized Signatory
                                    --------------------------------

<PAGE>   4





                             First Industrial, L.P.

                 6 1/2% Dealer remarketable security_ ("Drs._")
                               due April 5, 2011

     1. Indenture.  (a) This Security is one of the duly authorized issue of
debt securities of the Company (herein referred to as the "DEBT SECURITIES") of
the series hereinafter specified, all issued or to be issued under and pursuant
to an indenture dated as of May 13, 1997 (as supplemented, including the
Supplemental Indenture dated as of March 26, 1998 in respect of this series of
Securities, the "INDENTURE") between the Company and First Trust National
Association, as Trustee (herein referred to as the "TRUSTEE"), to which
Indenture and all indentures supplemental thereto reference is hereby made for
a description of the rights, limitations of rights, obligations, duties and
immunities thereunder of the Trustee, the Company and the holders (the words
"HOLDERS", "HOLDER", "SECURITYHOLDERS" or "SECURITYHOLDER" mean the registered
holder(s)) of the Debt Securities.

     (b) The Debt Securities may be issued in one or more series, which
different series may be issued in various aggregate principal amounts, may
mature at different times, may bear interest, if any, at different rates, may
be denominated in different currencies, may be subject to different redemption
provisions, if any, may be subject to different sinking funds, if any, may be
subject to additional covenants and Events of Default and may otherwise vary as
provided in the Indenture. This Security is one of the series designated as the
6 1/2% Dealer remarketable securities_ ("DRS._") due April 5, 2011 of the
Company and such series is limited in aggregate principal amount to
$100,000,000. References herein to "SECURITIES" or "DRS." shall mean the Debt
Securities of said series.

     (c) All capitalized terms used in this Security which are defined in the
Indenture and not otherwise defined herein shall have the meanings assigned to
them in the Indenture.

     2. Mandatory Tender on Remarketing Date; Purchase and Settlement.  On a
Business Day not later than five Business Days prior to the Remarketing Date
(the "NOTIFICATION DATE"), the Remarketing Dealer will notify the Company and
the Trustee as to whether it elects to purchase all (but not less than all) of
the outstanding Drs. on the Remarketing Date.  If, and only if, the Remarketing
Dealer so elects, the Drs. shall be subject to mandatory tender to the
Remarketing Dealer for purchase and remarketing on the Remarketing Date, upon
the terms and subject to the conditions described herein and in the Remarketing
Agreement.  The purchase price of the Drs. shall be equal to 100% of the
principal amount thereof.  No holder or beneficial owner of any Securities
shall have any rights or claims under the Remarketing Agreement or against the
Company or the Remarketing Dealer as a result of the Remarketing Dealer not
purchasing such Securities.

     3. Maintenance of Book-Entry System.  (a) The tender and settlement
procedures with respect to the Securities set forth in the Remarketing
Agreement shall be subject to modification, without the consent of the holders
of the Securities, to the extent required by DTC or, if the book-entry system
is no longer available for the Securities at the time of the remarketing, to
the extent required to facilitate the tendering and remarketing of Securities
in certificated form. In addition, the

                                     R-1

<PAGE>   5

Remarketing Dealer may modify the settlement procedures without the
consent of the holders of the Securities in order to facilitate the settlement
process.

     (b) The Company hereby agrees with the Trustee and the holders of
Securities that (i) at all times, it will use its best efforts to maintain the
Securities in book-entry form with DTC or any successor thereto and to appoint
a successor depository to the extent necessary to maintain the Securities in
book-entry form and (ii) it waives any discretionary right that it otherwise
may have under the Indenture to cause the Securities to be issued in
certificated form.

     4. Determination of Interest Rate to Maturity; Notification Thereof. The
Remarketing Dealer shall determine the interest rate the Drs. will bear from
the Remarketing Date to the Stated Maturity Date (the "INTEREST RATE TO
MATURITY") on the third Business Day immediately preceding the Remarketing Date
(the "DETERMINATION DATE") by soliciting by 3:30 p.m., New York City time, the
Reference Corporate Dealers for firm, committed bids to purchase all
outstanding Drs. at the Dollar Price, and by selecting the lowest such firm,
committed bid (regardless of whether each of the Reference Corporate Dealers
actually submit bids). Each bid shall be expressed in terms of the Interest
Rate to Maturity that the Drs. would bear (quoted as a spread over 5.67% per
annum (the "BASE RATE")) based on the following assumptions:

        (i) the Drs. would be sold to the Reference Corporate Dealer on the
   Remarketing Date for settlement on the same day;

        (ii)  the Drs. would mature on the Stated Maturity Date; and

        (iii) the Drs. would bear interest from the Remarketing Date at a
   stated rate equal to the Interest Rate to Maturity bid by such Reference
   Corporate Dealer, payable semi-annually on the interest payment dates for
   the Drs.

The Interest Rate to Maturity announced by the Remarketing Dealer as a result
of such process will be quoted to the nearest one hundred-thousandth (0.00001)
of one percent per annum and, absent manifest error, will be binding and
conclusive upon holders of the Drs., the Company and the Trustee.  The
Remarketing Dealer shall have the discretion to select the time at which the
Interest Rate to Maturity is determined on the Determination Date.

     The Remarketing Dealer shall have the right in its sole discretion to
either (i) remarket the Drs. for its own account (at a price equal to the
lowest firm, committed bid, as described above) or (ii) sell the Drs. to the
Reference Corporate Dealer submitting the lowest firm, committed, bid.  If two
or more Reference Corporate Dealers submit equivalent bids which constitute the
lowest firm, committed bid, the Remarketing Dealer may in its sole discretion
elect to sell the Drs. to any such Reference Corporate Dealer.

     If the Remarketing Dealer has elected to remarket the Drs. as provided
herein, then it shall notify the Company, the Trustee and DTC by telephone,
confirmed in writing (which may include facsimile or other electronic
transmission), by 5:00 p.m., New York City time, on the Determination

R-2

<PAGE>   6


Date of the Interest Rate to Maturity applicable to the Drs. effective
from and including the Remarketing Date.

     5. Repurchase.  If the Remarketing Dealer for any reason does not purchase
all of the Drs. on the Remarketing Date, then all holders will be required to
tender, and the Company shall repurchase, on the Remarketing Date, at a price
equal to 100% of the principal amount of the Drs. plus all accrued interest, if
any, on the Drs. to (but excluding) the Remarketing Date, all Drs. that have
not been purchased by the Remarketing Dealer on the Remarketing Date.

     6. Redemption.  If the Remarketing Dealer has elected to remarket the Drs.
on the Remarketing Date, the Company shall have the right to redeem the Drs.,
in whole but not in part, from the Remarketing Dealer on the Remarketing Date
at a redemption price equal to the greater of (i) 100% of the aggregate
principal amount of the Drs. and (ii) the Dollar Price, by giving written
notice of such redemption to the Remarketing Dealer no later than

        (x) the Business Day immediately prior to the Determination Date or

        (y) if fewer than three Reference Corporate Dealers submit firm,
   committed bids for all outstanding Drs. to the Remarketing Dealer on the
   Determination Date in accordance with Section 4 of this Security,
   immediately after the deadline set by the Remarketing Dealer for receiving
   such bids has passed.

In either such case, the Company shall pay such redemption price for the Drs.
in same-day funds by wire transfer on the Remarketing Date to an account
designated by the Remarketing Dealer.

     7. Certain Covenants. The Indenture restricts the Company's ability to
merge, consolidate or sell substantially all of its assets.  In addition, the
Company is obliged to abide by certain covenants, including covenants limiting
the amount of indebtedness it may incur, a covenant compelling it to disclose
certain financial information, covenants requiring it to maintain its material
properties and adequate insurance thereon, and a covenant requiring it to pay
or discharge all taxes, all as more fully described in the  Indenture.  All of
such covenants are subject to the covenant defeasance procedures outlined in
the Indenture.

     8. Effect of Event of Default.  If an Event of Default shall have occurred
and be continuing under the Indenture, the principal hereof may be declared,
and upon such declaration shall become, due and payable, in the manner, with
the effect and subject to the conditions provided in the Indenture.

     9. Tax Treatment; Agreement to Tender.  The Company and the holders of this
Security (and each holder of a beneficial interest herein) by accepting this
Security, agree to treat the Drs. as fixed rate debt instruments that mature on
the Remarketing Date for United States Federal income tax purposes.
Furthermore, each holder of this Security (and each holder of a beneficial
interest herein) irrevocably agrees that this Security shall automatically be
tendered on the Remarketing Date (a) to the Remarketing Dealer if the
Remarketing Dealer elects to remarket the Securities on the

                                     R-3

<PAGE>   7


terms and conditions set forth herein or (b) to the Company if the
Remarketing Dealer does not remarket the Securities on the terms and conditions
set forth herein.

     10. Amendments and Waivers. Modifications and amendments of the Indenture
will be permitted to be made only with the consent of the holders of not less
than a majority in principal amount of all outstanding Debt Securities issued
under the Indenture that are affected by such modification or amendment;
provided, however, that no such modification or amendment may, without the
consent of the holder of each such Debt Security affected thereby, (a) change
the stated maturity of the principal of, or any installment of interest (or
premium or Make-Whole Amount, if any) on, any such Debt Security; (b) reduce
the principal of, or the rate or amount of interest on, or any premium or
Make-Whole Amount payable on redemption of, any such Debt Security, or reduce
the amount of principal of an Original Issue Discount security that would be
due and payable upon declaration of acceleration of the maturity thereof or
would be provable in bankruptcy, or adversely affect any right of repayment of
the holder of any such Debt Security; (c) change the place of payment, or the
coin or currency, for payment of principal of, premium or Make-Whole Amount, if
any, or interest on any such Debt Security; (d) impair the right to institute
suit for the enforcement of any payment on or with respect to any such Debt
Security; (e) reduce the above-stated percentage of outstanding Debt Securities
of any series necessary to modify or amend the Indenture, to waive compliance
with certain provisions thereof or certain defaults and consequences thereunder
or to reduce the quorum or voting requirements set forth in the Indenture; (f)
change the currency or currency unit in which any Debt Security or any premium
or interest thereon is payable; or (g) modify any of the foregoing provisions
or any of the provisions relating to the waiver of certain past defaults or
certain covenants, except to increase the required percentage to effect such
action or to provide that certain other provisions may not be modified or
waived without the consent of the holder of such Debt Security.

     The holders of a majority in aggregate principal amount of the outstanding
Debt Securities of each series may, on behalf of all holders of Debt Securities
of that series, waive, insofar as that series is concerned, compliance by the
Company with certain restrictive covenants of the applicable Indenture.

     Modifications and amendments of the Indenture will be permitted to be made
by the Company and the Trustee without the consent of any holder of Debt
Securities for any of the following purposes: (a) to evidence the succession of
another person to the Company as obligor under the Indenture; (b) to add to the
covenants of the Company for the benefit of the holders of all or any series of
Debt Securities or to surrender any right or power conferred upon the Company
in the Indenture; (c) to add events of default for the benefit of the holders
of all or any series of Debt Securities; (d) to add or change any provisions of
the Indenture to facilitate the issuance of, or to liberalize certain terms of,
Debt Securities in bearer form, or to permit or facilitate the issuance of Debt
Securities in uncertificated form, provided that such action shall not
adversely affect the interests of the holders of the Debt Securities of any
series in any material respect; (e) to change or eliminate any provisions of
the Indenture, provided that any such change or elimination shall become
effective only when there are no Debt Securities outstanding of any series
created prior thereto which are entitled to the benefit of such provision; (f)
to secure the Debt Securities; (g) to establish the form or terms of Debt
Securities of any series; (h) to provide for the acceptance of appointment by a

                                     R-4


<PAGE>   8

successor Trustee or facilitate the administration of the trusts under the
Indenture by more than one Trustee; (i) to cure any ambiguity, defect or
inconsistency in the Indenture, provided that such action shall not adversely
affect the interests of holders of Debt Securities of any series issued under
the Indenture; or (j) to supplement any of the provisions of the Indenture to
the extent necessary to permit or facilitate defeasance and discharge of any
series of such Debt Securities, provided that such action shall not adversely
affect the interests of the holders of the outstanding Debt Securities of any
series in any material respect.

     11. Denominations; Transfer.  (a) The Securities are issuable in
registered form without coupons in denominations of $1,000 and any integral
multiple thereof.

     (b) A certificate in global form representing all or a portion of the
Securities may not be transferred except as a whole by the Depositary for such
series to a nominee of such Depositary or by a nominee of such Depositary to
such Depositary or another nominee of such Depositary or by such Depositary or
any such nominee to a successor Depositary for such Securities or a nominee of
such successor Depositary.

     12. No Liability of Certain Persons.  No past, present or future
stockholder, employee, officer or director of the Company or any successor
thereof shall have any liability for any obligation, covenant or agreement of
the Company contained under this Security or the Indenture. Each holder by
accepting this Security waives and releases all such liability. This waiver and
release are part of the consideration for the issue of this Security.

     13. Governing Law.  The laws of the State of New York govern the Indenture
and this Security.

                                     R-5


<PAGE>   9


FOR VALUE RECEIVED, the undersigned hereby sell(s), assign(s) and
transfer(s) unto:

PLEASE INSERT TAXPAYER
IDENTIFICATION NUMBER OF ASSIGNEE

__________________________________

__________________________________


______________________________________________________________________________

PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS INCLUDING POSTAL ZIP CODE OF ASSIGNEE

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

the within Security of First Industrial, L.P. and all rights thereunder
and hereby irrevocably constitutes and appoints ______________________ attorney
to transfer said Security on the books of the Company, with full power of
substitution in the premises

                                                     --------------------------
Dated:                                                        Signature

NOTICE:      THE SIGNATURE(S) TO THIS ASSIGNMENT MUST CORRESPOND WITH THE
             NAME AS WRITTEN UPON THE FACE OF THE WITHIN INSTRUMENT IN EVERY
             PARTICULAR, WITHOUT ALTERATION OR ENLARGEMENT OR ANY CHANGE
             WHATEVER. THE SIGNATURE(S) SHOULD BE GUARANTEED BY A COMMERCIAL
             BANK OR TRUST COMPANY, A MEMBER ORGANIZATION OF A NATIONAL STOCK
             EXCHANGE OR BY SUCH OTHER ENTITY WHOSE SIGNATURE IS ON FILE WITH
             AND ACCEPTABLE TO THE TRANSFER AGENT. 





                                     R-6