I have finally obtained Chrono Cross!!!

My years of waiting are over and soon I can stop reading this forum as though it were a spoiler filled mine field!!

However I have a concern, Many times my ps2 experiences difficulty when I have to change discs in games, I was wondering if there is an save option right after the end of the first disc such as in FFVII or FFVIII (then i can turn it off and change disks). It would be a terrible dissapointment if i got halfway through the game only to realise i couldnt finish it. I have only just started playing so no spoilers please.