Litecoin or any other cyrpto currency value is going to be determined by one major event. When Bitcoin hits the 21 million mark.
The only way we will know if Bitcoin will retain its perceived value is when we reach the 21 million mark. If there are no more Bitcoins to be minted then the value of a Bitcoin will remain static or increase. By how much is impossible to predict. The more the perceived value the higher it will go.
However, if the mystery developer of the Bitcoin network decides to open up a new level of Bitcoin minting then the market price will dive sharply, recover after a period of time, then stabilize but at a much lower value. Again, impossible to predict but it will happen.
This will have a massive ripple effect on other crypto currencies and will determine user acceptance and perception of those crypto currencies which will of course determine their respective values. So to answer the OP's question it is entirely too early to tell what other crypto currencies will do in terms of performance until we reach this critical milestone of the 21 million mark.