It's not that I am solely persuing a business major - I am taking quant classes.
As for the notion that even taking business classes will short-change me for an MFE - http://tepper.cmu.edu/master-in-computational-finance/your-career/recruiting-partners/download.aspx?id=6263 (page 6) says that 20% of CMU MFE participants in 2009 had business undergrad majors. And their compensation was barely lower. Can someone point to me where my logic is going wrong???
Probability doesn't work like this.
There's a basic, common-sense theorem, called Bayes' Theorem, which tells us that the conditional probability of an event depends on more than the probability of two events occurring together. Sort of.
Let me put it in easy terms, so you can understand what I mean.
Let's say that 90% of the applicants to CMU are business majors, and 20% of the admitted students are business majors. Furthermore, let's assume the probability of being admitted into CMU is 10%.
Then, the probability of one being admitted to CMU being a business major is 2.2%. While the probability of one being admitted not being a business major is 80%.
See where you made your mistake? You're not considering the hypothesis that it may be the case that business majors are the most interested in masters programs related to finance.
But anyways...
My point, and what I guess the other guys are trying to say, is that getting a shallow, wide education is worst than getting a deep, focused one.
And if you want to be a Quant, it is best to focus your education on quantitative and technical majors.