Cheaper projector with best price-performance ratio

I have the Beamer mainly gained me for lessons at school and in seminars. I was looking for a cheap projector is also bright enough for rooms with sunlight, so that you do not always necessarily darken the room. Since I always like to read short reviews, I would like to simply be divided into for and against points:

Per
+ Very bright image with a pleasant color representation
+ Good resolution for presentations, videos and pictures
+ Projector automatically adjusts to the height adjustment, so that the image is always rectangular (Keystone correction)
+ Works fine with the Mac and iPad (sets the image horizontally and vertically at the turn of the iPad a)
+ All important adjusts automatically - connect, power up, get going
+ Practical zoom function within the projection up to 2x

Contra
- But very noisy if one is near the projector (2m), but does not interfere with normal communication
- Beamer quickly becomes very warm to hot and cools after switching off not to, so I'll let him cool always five minutes outside the pocket (!)
- Bag just enough so to resolve the power cable and video cable / strap is very short and not suitable for the shoulder
- Beamer has no lens cap
- Image size on the lens at close range (2m) little adjustment, here the distance from the screen should be a little bigger, so about five meters, which is a challenge particularly in tight spaces
- Built-in speaker is virtually unusable because very inferior (does not go with me in the overall one)

Conclusion: A beamer is unbeatable in value for money. Four stars because the included carrying case is not well thought out, the lens cover is missing and the projector for my taste is a little too loud. Nevertheless, I would buy it for that price again.