(cheap) 1080p projector

[Ningols]

Hello everyone, 

 

I'd like to buy a projector for my student room so I can watch movies/play games on a huge screen study better but I can't put a screen on my walls (the landlord refuses) and I don't want to use a stand because I don't have enough floor room.

But my wall is about 200 wide by 140 inches high and is painted in white

Can you recommend a good projector for maximum 700€ (800$US)

My requirements would be : 

- 1080p bare minimum

- 16/9 aspect ratio

- at least 2 hdmi ports

- an audio output (either optical or 3.5mm jack)

- lowest input lag possible, as I wish to play games on it (mainly ps4, but also to plug in my gaming pc for games I play with a controller)

- I don't really care about 3D and speakers

 

I actually found a projector - Optoma HD142X - that I think could apply to my requirements, but I'm not sure about the projection quality on a wall instead of a screen

 

Keep in mind that this would be my first projector and that I don't know anything about them

 

To be clear, I don't plan to buy a tv because I'd like at least a 65 inch display, but I can't find any under 1000€ (1100$US)