FIRST AMENDMENT TO BUILDING LEASE AGREEMENT

Exhibit 10.11(a)

FIRST AMENDMENT TO BUILDING LEASE AGREEMENT

This First Amendment to Building Lease Agreement (this “Amendment”) is entered into as of December 30, 2005 by and between Hynix Semiconductor, Inc. (“Lessee”) and MagnaChip Semiconductor Ltd. (“Lessor”) (each a “Party”, and collectively the “Parties”).

WHEREAS, the Parties are parties to that certain Building Lease Agreement with respect to R Building, C1 Building and C2 Building located in Cheong-Ju, dated as of October 6, 2004 (the “Agreement”), and wish to amend the Agreement as set forth below.

NOW, THEREFORE, the Parties agree as follows:

“Lessor shall provide an invoice (the “Invoice”) to Lessee by the last day of each calendar month which shall include the amounts of Rent (including Taxes), Lessor Maintenance Fee, Other Costs (as defined in Section 6.3) and the corresponding VAT amount payable by Lessee for such month. Lessee shall pay in aggregate the Rent, Lessor Maintenance Fee, Other Costs and the corresponding VAT amount stated on each Invoice to the Lessor’s designated account, or as otherwise designated by Lessor, by means of a wire transfer in immediately available funds by the 25^th day of the next calendar month following the date of the Invoice (the “Due Date”). Lessee shall review each Invoice for Taxes by the 20^th day of the next calendar month following the date of the Invoice, and, notwithstanding anything herein to the contrary, if not in agreement with the amount, then Lessee may require the Lessor to contest such Taxes as provided in Section 4.3 of this Agreement.”

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[Signature Page Follows]

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IN WITNESS WHEREOF, the Parties have caused their duly authorized representatives to execute this Amendment as of the date first set forth above.

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