U.S. real estate investment trust indexes finished the week ended Jan. 3 mostly flat, with the SNL U.S. REIT Equity index inching down to 357.37 and the MSCI U.S. REIT (RMZ) index closing lower to 1,270.48.

The broader markets were also mostly flat for the week, with the Dow Jones Industrial Average dropping to 28,634.88 and the S&P 500 declining to 3,234.85.

The hotel and retail sectors posted the largest declines for the week, down 3.10% and 1.10%, respectively, and office REITs saw share prices drop 0.34%.

The self-storage sector index increased 1.23%, while the industrial and multifamily sectors rose 0.84% and 0.31%, respectively.

Shopping center REIT Cedar Realty Trust Inc.'s share price increased 7.07% week over week, the largest price increase of any REIT stock above $200 million market capitalization, followed by NexPoint Residential Trust Inc., a multifamily REIT, at 6.59%.

National Storage Affiliates Trust, a self-storage REIT, rounded out the top three with an increase of 3.70%.

The largest decline among REITs during the week was for prison REIT CoreCivic Inc. with a 7.99% drop. Hotel REIT Ashford Hospitality Trust Inc. and other retail-focused Tanger Factory Outlet Centers Inc. posted the next largest declines at 5.94% and 5.00%, respectively.