Exhibit 99.1
JOINT FILING AGREEMENT
The undersigned hereby agree that the Schedule 13D with respect to the common shares of beneficial interest, $0.01 par value per share, of Tremont Mortgage Trust, dated as of September 18, 2017, is, and any amendments thereto, signed by each of the undersigned shall be, filed on behalf of each of us pursuant to and in accordance with the provisions of Rule 13d-1(k) under the Securities Exchange Act of 1934, as amended.
| September 19, 2017 |
| (Date) |
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| TREMONT REALTY ADVISORS LLC |
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| /s/ Adam D. Portnoy |
| (Signature) |
| Adam D. Portnoy, President and CEO |
| (Name/Title) |
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| THE RMR GROUP LLC |
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| /s/ Adam D. Portnoy |
| (Signature) |
| Adam D. Portnoy, President and CEO |
| (Name/Title) |
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| THE RMR GROUP INC. |
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| /s/ Adam D. Portnoy |
| (Signature) |
| Adam D. Portnoy, President and CEO |
| (Name/Title) |
| ABP TRUST |
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| /s/ Adam D. Portnoy |
| (Signature) |
| Adam D. Portnoy, President |
| (Name/Title) |
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| ADAM D. PORTNOY |
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| /s/ Adam D. Portnoy |
| (Signature) |
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| BARRY M. PORTNOY |
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| /s/ Barry M. Portnoy |
| (Signature) |