If i get a new iphone can they transfer events in my calendar?

I currently have the iPhone 4, i plan on getting the iPhone 5s over winter break and i was just wondering if they could transfer my events in the calendar to the new phone.

If this isn't possible, how can i get my events to sync to my computer and iPad? I've tried before but with no luck.

I believe it's linked with you apple ID if you let your email thing have the ability to have your calandr events synced with it otherwise no

I don't see why not. You could do it yourself using a backup of the iPhone 4 through iTunes. If you are using iCloud to sync your Calendar then simply signing into your account on the 5s will do that for you.