LIMITED POWER OF ATTORNEY
                           FOR SECTION 16(a) REPORTING

     KNOW ALL PERSONS BY THESE PRESENTS, that the undersigned hereby makes,
constitutes and appoints Theodore S. Kim, Micheal J. Reagan and W. Stuart Ogg,
and each of them, as the undersigned's true and lawful attorney-in-fact (the
"Attorney-in-Fact"), with full power of substitution and resubstitution, each
with the power to act alone for the undersigned and in the undersigned's name,
place and stead, in any and all capacities to:

     1.   prepare, execute in the undersigned's name and on the undersigned's
behalf, and submit to the Securities and Exchange Commission ("SEC") a Form ID,
including amendments thereto, and any other documents necessary or appropriate
to obtain codes and passwords enabling the undersigned to make electronic
filings with the SEC of reports required or considered advisable under Section
16(a) of the Securities Exchange Act of 1934 (the "Exchange Act") or any rule or
regulation of the SEC;

     2.   prepare, execute and submit to the SEC, any national securities
exchange or securities quotation system and MagnaChip Semiconductor Corporation
(the "Company") any and all reports (including any amendment thereto) of the
undersigned required or considered advisable under Section 16(a) of the Exchange
Act and the rules and regulations thereunder, with respect to the equity
securities of the Company, including Forms 3, 4 and 5; and

     3.   obtain, as the undersigned's representative and on the undersigned's
behalf, information regarding transactions in the Company's equity securities
from any third party, including the Company and any brokers, dealers, employee
benefit plan administrators and trustees, and the undersigned hereby authorizes
any such third party to release any such information to the Attorney-in-Fact.

     The undersigned acknowledges that:

     (a)  this Limited Power of Attorney authorizes, but does not require, the
Attorney-in-Fact to act at his or her discretion on information provided to such
Attorney-in-Fact without independent verification of such information;

     (b)  any documents prepared or executed by the Attorney-in-Fact on behalf
of the undersigned pursuant to this Limited Power of Attorney will be in such
form and will contain such information as the Attorney-in-Fact, in his or her
discretion, deems necessary or desirable;

     (c)  neither the Company nor the Attorney-in-Fact assumes any liability for
the undersigned's responsibility to comply with the requirements of Section 16
of the Exchange Act, any liability of the undersigned for any failure to comply
with such requirements, or any liability of the undersigned for disgorgement of
profits under Section 16(b) of the Exchange Act; and

     (d)  this Limited Power of Attorney does not relieve the undersigned from
responsibility for compliance with the undersigned's obligations under Section
16 of the Exchange Act, including, without limitation, the reporting
requirements under Section 16(a) of the Exchange Act.

     The undersigned hereby grants to the Attorney-in-Fact full power and
authority to do and perform each and every act and thing requisite, necessary or
convenient to be done in connection with the foregoing, as fully, to all intents
and purposes, as the undersigned might or could do in person, hereby ratifying
and confirming all that the Attorney-in-Fact, or his or her substitute or
substitutes, shall lawfully do or cause to be done by authority of this Limited
Power of Attorney.

     This Limited Power of Attorney shall remain in full force and effect until
the undersigned is no longer required to file Forms 4 or 5 with respect to the
undersigned's holdings of and transactions in equity securities of the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
Attorney-in-Fact. This Limited Power of Attorney revokes all previous powers of
attorney with respect to the subject matter of this Limited Power of Attorney.

     IN WITNESS WHEREOF, the undersigned has executed this Limited Power of
Attorney as of Feb 13, 2014.

                                        Signature:  /s/ Young-Joon Kim
                                                    ----------------------------
                                        Print Name: Young-Joon Kim

State of California
County of Santa Clara

On 2/13, 2014 before me, Susan Ostertag, personally appeared Young-Joon Kim
who proved to me on the basis of satisfactory evidence to be the person whose
name is subscribed to the within instrument and acknowledged to me that he
executed the same in his authorized capacity, and that by his signature on the
instrument the person executed the instrument.

I certify under PENALTY OF PERJURY under the laws of the State of California
that the foregoing paragraph is true and correct.

WITNESS my hand and official seal.


Signature /s/Susan Ostertag                        (Notary Seal)
          -----------------------------