Ask HN: Does the prestige of a PhD matter for getting a quant position?

I'm admitted to a few PhD programs to do research in statistical machine learning. As a backup option in case academia doesn't work out, I think quant trading/modeling/research would appeal to me (I've enjoyed learning about stochastic processes/martingales from my prob class). I'm currently torn between Johns Hopkins and UC Irvine, if that makes any difference.