Some potential clients might try to squeeze you on the initial assignment, claiming this first project can lead to more fruitful gigs down the line. While it might be appropriate in some cases to take on the assignment regardless, generally you’ll feel better about yourself over the long run if you stick to your guns and don't allow yourself to lower your price.
If you know your niche and feel your charges are appropriate, have the integrity to politely turn down a counter offer. Or simply reduce the scope of your work to maintain the level of profitability you've set for yourself.