One big short term issues is problems with self esteem. Being constantly insulted and called derogatory names takes its tole. It can be anything from feeling body insecurity to feeling like you have a drab personality.
The victim can also have poor academic performance from anxiety about themselves. If you are tormented in a classroom setting and you start to dread and fear that class, then it can be very hard to concentrate and learn anything while always looking over your shoulder.
This can also cause kids to act out or do things out of the child 'norm' which labels them as ‘weird’ to both peers and adults. They may be disconnected, or maybe they stay inside for recess. Others could deal with this by having fits of anger when prodded making them be the ones in the principal's office as opposed to the ones who are actually doing the damage. This makes the child feel even more invalidated than ever, because if you push the kid who calls you names everyday, and the adults tell you that you are the one to blame, it doesn’t feel fair or right.
But why don’t they report it? Well in situations like this the victim is often a social pariah, they may have little to no friends to back them up or to validate them. And worse, if they ask for help or report it, they get a whole host of new names. Snitch, narc, rat, whiny, tattle tale, squealer. All of these just exacerbate the situation. They have an even less chance of making friends, if no one thinks they can be trusted and they may resort to ‘friends’ that only want something from them. It could be liquor, attraction, smokes, drugs, or any number of other things. These are very unhealthy relationships but they may feel good in the short term, and when your life feels awful maybe you will take what you can get.
And here are the Long Term Problems With Verbal Abuse