Nobody can actually say for sure.
Litecoin increased by +500% since the start of the year, this was down to two things -
SegWit activation - faster transactions (BTC does not currently support)
CoinBase Integration - CoinBase is a regulated platform that is U.S based, they added LTC trading into the mix alongside the pre-existing BTC & ETH.
Litecoin has a ton of updates on their roadmap, a few to outline:
RootStock
Atomic Swaps
DriveChain
I believe that LTC will increase due to uncertainty around the BTC hard fork (1st Aug 2017).
If you’re looking to store your coins safely, I suggest using a hardware wallet, Ledgers are regarded to be the most secure and easy to use.