HELLER FINANCIAL INC
424B3, 1998-06-03
SHORT-TERM BUSINESS CREDIT INSTITUTIONS
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<PAGE>
 
                                                 Rule 424(b)(3)
                                                 File No. 333-38545

Pricing Supplement No. 10                        Dated: May 29, 1998
(To Prospectus dated October 30, 1997
Prospectus Supplement dated November 17, 1997)


U.S.$2,500,000,000
Heller Financial, Inc.
Medium-Term Notes, Series H

(Registered Notes -Floating Rate)
Due From Nine Months to Thirty Years From Date of Issue
<TABLE> 
<CAPTION> 
<S>                                                     <C> 
Principal Amount: $100,000,000                          Issue Price: 100%

Original Issue Date: June 8, 1998                       Stated Maturity Date: June 7, 2000
</TABLE> 
Form: [X] Book-Entry  [ ] Certificated

Depositary: Depository Trust Company

Specified Currency: U.S. Dollars
     (If other than U.S. Dollars, see attached)

Option to Receive Payments in Specified Currency: [ ] Yes [ ] No
     (Applicable only if Specified Currency is other than U.S. Dollars)

Authorized Denominations:
     (Applicable only if Specified Currency is other than U.S. Dollars)

Base Rate: [] Commercial Paper Rate [X] LIBOR [] Treasury Rate
           [] Federal Funds Rate [] Prime Rate [] Other:

Interest Reset: Quarterly

Interest Payment Period: Quarterly

Interest Reset Dates: (If other than as specified in the Prospectus Supplement):
The 7th day of June, September, December and March, beginning June 8, 1998 up to
but excluding the Stated Maturity Date.

Interest Payment Dates: (If other than as specified in the Prospectus
Supplement): The 7th day of June, September, December and March, beginning
September 8, 1998 up to and including the Stated Maturity Date.

Interest Determination Date(s): Two London Banking Days prior to each Interest
Reset Date.
<PAGE>
 
                                                 Rule 424(b)(3)
                                                 File No. 333-38545

Pricing Supplement No. 10                        Dated: May 29, 1998
(To Prospectus dated October 30, 1997
Prospectus Supplement dated November 17, 1997)


Initial Interest Rate: To be determined

Index Maturity: 3 month Libor

Day Count Convention: Act/360

Maximum Interest Rate: N/A                       Minimum Interest Rate: N/A

Spread (+/-): +.10%                              Spread Multiplier: N/A

Optional Redemption: [ ] Yes [X] No
     Initial Redemption Date:
     The Redemption Price shall initially be % of the principal amount of the
     Note to be redeemed and shall decline at each anniversary of the Initial
     Redemption Date by  % of the principal amount to be redeemed until the
     Redemption Price is 100% of such principal amount.

Optional Repayment: [ ] Yes [X] No
     Optional Repayment Dates:
     Optional Repayment Prices:

Repayment Provisions:
     (If other than as specified in the Prospectus Supplement)

Discount Note: [ ] Yes [X] No
     Total Amount of OID:
     Yield to Maturity:
     Initial Accrual Period OID:
Calculation Agent: Heller Financial, Inc.
Exchange Rate Agent: N/A
Recognized Foreign Exchange Dealers: N/A
Discount or Commission: .0953%

Other Provisions:  a)  AMOUNT ISSUED TO DATE, PRIOR TO PRICING SUPPLEMENT NO. 10
                       UNDER MTN-SERIES H PROGRAM: $1,225,000,000
                   b)  CUSIP #42333HJS2

Agent: Merrill Lynch & Co.
       250 Vesey Street
       New York, NY 10281


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