Common Apple TV Problems and how to fix
Question: What’s Apple TV?
Airplay Isn’t Working
Symptoms: You are trying to use AirPlay to beam content to your Apple TV (from your Mac or iOS device) but you find either the devices aren’t able to see each other, or you are encountering stuttering and lag.
Symptoms: It’s always recommenced to hard-wire any and all data connections. You may experience difficulties with your Wi-Fi network. Problems may include your Apple TV being unable to find or join the network, your device may not connect to the network in a stable fashion, movies and other content may stutter as a result of an intermittent connection flaw – there are many ways in which Wi-Fi problems may reveal themselves.
More Info/ Source: