The fact that Litecoin will be halving it's reward is irrelevant. I don't know how many times I've seen a coin's supporters get all excited because the reward is about to be cut in half only to be disappointed when nothing happens. They seem to think that it will have some bearing on the price, but of course it doesn't. It doesn't matter what happens to the reward. It has no effect on the current supply, so it's unreasonable to expect the price to go up when the supply remains the same.

Halving of the reward only affects future supply, so at best, it might help keep the price from plumiting due to inflation, but it won't make the coin more valuable than it is today.