The value will be what the free market decides.
Pretty much this. No such thing as "quarter to dollar", whilst it's plenty possible, litecoin isn't relative to bitcoin, simple as that. With the ridiculous hash rate litecoin has, i would find it hard to believe that litecoin would stumble and fall, BTC and LTC are clearly miles ahead of any other coin out there at the moment in terms of network hash rates. BTC simply has more spending options at the moment whereas litecoin is still slowly taking off in terms of places to spend it.