Altered Time Rate + Costs FP + Requires Recharge

[twofortea]

I'm statting out a supers-type character (more for my own amusement than for an actual game, so I'm not that worried about the point cost) that uses the suggestion on Powers pg 118 to use Altered Time Rate to simulate stopping time. For this particular character, it costs FP. So adding the Costs FP limitation, it would be

Altered Time Rate 5 (Costs FP, 1/minute, -5%) [475]

But if I wanted to make it cost 1 FP per second, it seems that it would be

Altered Time Rate 5 (Costs FP, 1/second, -10%) [450]

This doesn't seem right. I know ATR isn't supposed to be switchable; is this mucking with the numbers somehow?

For flavor reasons, I don't think that FP per minute is appropriate (she's supposed to be using it as a time stop, so it should only last for the one turn/second), but it doesn't seem much more points-efficient, even though you would have to use 60 FP to make it last a minute under the latter option. Am I doing something wrong?

Furthermore, if I would like it to only last one second and require a recharge time as well as a FP cost, how would Requires Recharge fit into this equation?