Actually you can start by any amount even only $50, but the amount of money should be the same with your skill in trading. And because trading altcoin is risky much better start by amount afford to lose. But if you think you have enough skill and have good trading plan you can start by $1000 or more but make sure that free money that willing to lose because no body can guaranted you will get profit.
No matter what you have actually make up your mind to do , please be very careful