In my opinion, it is WAY WAY too early to say.

Fact is Bitcoin Cash crossed 1 hurdle... many said the first block would never be mined. Block 478559 on the BCH chain http://blockdozer.com/insight/block/000000000000000000651ef99cb9fcbe0dadde1d424bd9f15ff20136191a5eec was the first greater than 1 MB block for any bitcoin.

The difficulities of BCH will start to adjust soon and one can expect the BCH chain to start to produce blocks at approx the 10 minute rate within 1 day or so... THEN maybe more hashrate will move over because maybe it will be more profitable... THEN maybe bitcoin will slow down more leading to bad press (since bitcoin will take 2016 blocks ~ 14 days to adjust)... this alone could swing the markets.

Also, it will depend on the exchanges. If several exchanges open BTC/BCH, BCH/USD, BCH/CNY, and BCH/ETH trading then BCH is, at a minimum, another altcoin for the traders, with a (new but long) history and strong community of belivers.

AT THIS POINT ANYTHING COULD HAPPEN... BCH COULD DIE, BCH COULD KILL BCT SLOWLY OR BCH AND BCT COULD SURVIVE SIDE BY SIDE.

My opinion is that BCH will settle between $100 and $400 and BTC will pass $3000 and not look back. Longer term will depend on Segwit2X in November and merchant adoption of BCH in the next months.