Not really sure how you're figuring these two overlap, shy of working somewhere bureaucratic like the NSF, and even then it usually takes decades of experience in the field to climb up to the ranks of scientific budgetary oversight. Unless the climate of science has a drastic turnaround in the near future, you're better off going into finance/business, especially if you're solely motivated by earning power and/or job security. If you're pursuing knowledge, physics is about as "pure" as science gets (biased bachelor's degree of physics checking in here), but statistics say you can expect a lifetime of begging for scarce funding ahead. I make 55k/year, which is a LOT in Texas, and I'm weighing the utility of obtaining a PhD. Mostly, I'm doing engineering work, including shittons of paperwork that I find myself having a hard time giving two shits about. Still, I have some very exciting tasks sprinkled in. But I don't want to live here anymore, and grad school is a surefire ticket out of the Bible belt. Can't figure out if I'm happy enough with my hobbies and life outside of work to consider settling down here or if I want to "contribute in the most meaningful way to the knowledge-base of mankind" and obtain a PhD. And everyone will tell you that a PhD physics degree is the ONLY physics degree that gets you a job... I just got lucky with getting my foot in the door during an internship. Best of luck, I'll be around if you ever need to pick my brain.I might major in it, going into finance later on as a career, the demand is there certainly and a degree in physics is highly applicable.
I just have a B.S. Depends on the school, but more than likely I'll skip the master's and hop on the PhD track. Some schools route you through a master's, but most let you shoot for a PhD right away.