Don't know how high it will go but until such time that a user-friendly wallet comes out where you don't need to download the whole blockchain and can EASILY be used in mobile phones - the price of Monery will not move that high.
To people above who wonder what's holding it back from being used - the answer is it's non-friendly wallet.
Just google around and you will find people taking days - weeks just trying to synchronize the wallet. Sometimes it will get stuck and you need the commandline to pop some blocks out to continue.
It also has no hardware wallet for now (may change later). No IOS(Apple) Wallet. There's supposed to be an Android wallet but I think you need to sign-up somewhere to get it with your email - in which case what's the point of using an anonymous currency.
Monero vallet synchronize way faster then my Bitcoin or Ethereum vallet. I had zero problems doing so. So please also google also those. There are people with old computers or low network speed and will always have problems.
Yes when Ledger will add Monero it will be a nice Monero hardware wallet. But paper wallet is still way safer place to store your long term holding Moneroj.
On mobiles you will be able to use GUI. No need for any special ones. You will be able even to mine with it
