Wednesday, September 6, 2023 Real Estate Baton Rouge rental market begins to stabilize By Holly Duchmann - September 6, 2023 FacebookXLinkedinEmailPrint Bayonne at Southshore apartments on Stanford Avenue near the LSU lakes. (Tim Mueller) After posting significant rent increases since the beginning of the pandemic, the Baton Rouge apartment market is seeing rents start to stabilize. Already an INSIDER? Sign in.