This is my first post at this forum, but I have been reading it, as well as a few others, for some time and I haven't found a direct answer to this question. I am curious specifically about the job prospects in finance for someone with a PhD is statistics, focused mainly on bayesian statistics and machine learning involving geometry. I have read that a statistics PhD is a good fit for algorithmic trading, stat arb, and trading in general but not as applicable to the more traditional quant pricing roles or anything involving exotic products which typically goes to the math/physics guys. This gives the impression that there are very exciting jobs out there for people with a stats background, but I have also heard that it is much more difficult to find a job in the stat arb type jobs. Is this true? If so, then it seems like there are more jobs out there in finance requiring an applied math background, and consequently more job security.
Also, I was curious, would someone with a degree in statistics who did a good amount of work with PDEs and probability theory in the math department be considered for those more traditional pricing or exotic product roles? Not being in the industry, it is hard for me to get a feel for this. So many of the job ads ask for a degree in math, physics, or engineering and I'm not sure if stats would be included. Thanks for all of your help, and I hope that someday I will be here answering questions rather than just asking them