CONDITIONAL TENDER OFFER PLANNED FOR SHARES OF DEUTSCHE GLOBAL HIGH
INCOME FUND

NEW YORK, May 27, 2015 -- Bulldog Investors General Partnership
("BIGP") announced today that, subject to certain conditions,
it intends to commence a tender offer to purchase
common shares of Deutsche Global High Income Fund (NYSE: LBF -
News) (the "Fund") for cash approximately thirty days after the
annual stockholder meeting of the Fund. The conditions are:
(1) the election of the nominees of Full Value Partners, a general
partner of BIGP, as directors of the Fund, (2) stockholder approval
of a non-binding proposal that the Fund's Board authorize a self-tender
offer for all shares of the Fund, and (3) failure of the Board to
authorize such a self-tender offer within thirty days of the annual
meeting.

The terms of BIGP's conditional tender offer have not been determined
although the price is expected to be higher than the market price of
the Fund's shares at the expiration of the tender offer. The purpose
of the tender offer is to thank stockholders of the Fund for their
support by providing an opportunity for them to promptly sell a
portion of their shares at a premium to the market price.

This announcement is not an offer to purchase shares of the Fund.
If the aforementioned conditions are met, BIGP's conditional tender
offer (the "Offer") will be made through an Offer to Purchase,
related Letter of Transmittal and other related materials. All of
these documents will contain important information about the Offer
and stockholders of the Fund are urged to read them carefully before
any decision is made with respect to the Offer. Stockholders of the
Fund will be able to obtain a free copy of each of these documents
(if and when they become available) at a website maintained by BIGP
at www.bulldoginvestorstenderoffer.com or by contacting BIGP by Email
at info@bulldoginvestors.com or telephone at (201) 556-0092. BIGP will
promptly deliver such documents to any requesting shareholder of the
Fund (by U.S. mail or Email, as requested). These documents will also
be available at no charge at the website maintained by the Securities
and Exchange Commission at http://www.sec.gov.

Contact:
Tom Antonucci
Bulldog Investors
(201) 556-0092