To be really honest, I don't think your institution or even your degree has anything to do with entrepreneurship. It just depends on whether you believe you are competent enough to start something on your own or whether you are better off playing your part in an established structure.
Having said that, for a select few people, getting rid of the EMI headache is unquestionably a blessing. But that doesn't mean you have to pursue entrepreneurship just because you don't have to go to school, don't enjoy your work, or have observed others doing it successfully. Except for maybe 15–20 individuals who chose entrepreneurship either right after FMS or later, I believe that everyone else in my batch is doing well at their corporate jobs. I also know a few graduates of different business organizations who are still pursuing their passion for entrepreneurship.
In the end, it is entirely up to you. You should pursue your passion if you are competent at it and willing to give up a few years of secure work rather than waiting and wondering what would happen. Always do something you enjoy doing so much that you would do it for nothing. then become so skilled at it that clients will pay you to perform it. Therefore, you would be better off if you started earlier.