Good that you've got some backup plans. The newer QF syllabus for the incoming batches now have more mathematical content to it, which means that there's not much difference in the modules taken by QF and AM (Applied Mathematics) majors.
QF is more practical-oriented and multi-disciplinary. Which means, you'll be able to expose yourself to modules all over the faculties in NUS (and for cheap too, in both CORS points and real cash, since you pay only undergrad fees). Moreover, it is much easier revising for CFA/PRM/FRM professional exams because QF syllabus itself easily prepares you for it.
However, you would lose out on an in-depth theoretical mathematical knowledge, unless you overload that is.
AM is more theoretical, which could be beneficial to you if you're doing a Masters in QF (ironically!) or Financial Engineering. Doing such a Masters requires a good B. Sc in Math and you'll need to pass their qualifying entrance test. After all, you could easily pick up business modules everywhere in any business school, but as for math, you need a good Science school, and within Asia, NUS Math still offers value for money education.
Wow that's some great insight. Thank you very much. I do plan on pursuing masters in future but only after a few years of experience from work.
Hence career wise, do employers in the finance industry "stay away" from employing more theoretical majors?

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