Yeah it seems the demand is huge for private rental. Just around where I'm renting they are building a 278 apartment 31 storey tower, a 105 apartment 16 storey tower, a 304 apartment 34 storey tower and a 230 apartment 13 storey tower. A tad further out and there is the triple tower Infinity project which consists of 1,002 apartments in 27, 33 and 39 storey towers, as well as the huge warehouse at Stanley Dock which is being converted at the moment.
Those are just the committed projects too around the Liverpool Waters area, they have space for shitloads more too.