Am I on a good career path?

Ok, when I get older I wanna live a very wealthy and luxurious lifestyle so I'm thinking about going into Private Equity so after college I might go work a job in finance for two years, then go 2 business school(hopefully Harvard Business School or Kellogg School of Management), then hopefully get a job with Goldman Sachs and work in their Private Equity arm for 4 years, and then move somewhere and start my own firm and start raising a fund.