The price of a LightCoin on average never exceeds 5% of BitCoin price. Usually it is 2-3% of BTC price.
If LTC price will be 1k$, then BTC price should be 20k-30k$...
And you don't believe that the price of bitcoin this year can reach $30000? I believe. The price of the coin depends on the relationship between supply and demand. And I think that this year the demand for LTC will be very high, because the development team has planned a lot of interesting events.