I graduated from NTU before the millenium.
I studied Banking, but no banks wanted me.
Through a relative, I ended up doing part operations/part sales at an automotive distributor for over a year.
Through a classmate, I moved on to join a general insurance broking outfit for 2 years.
Through an industry referral, I moved on to join a general insurance company and stayed there for a long time.
Now, through a headhunter, I moved on to a reinsurance company and been working for almost a year.

You see, throughout my career, what I do has limited relevance to what I do. It's a stigma that all young fresh graduates must shake off.
And employment most often does not come to you via resumes (unless you are good looking and have an outstanding story to tell).
You are lucky if you can find what you like, otherwise find work that you don't hate (note: don't like is not the same as hate).
It will open other doors for you.
Sitting at home and deciding the $$ and ideal position will not give you the choice of the doors to open!

FYI, the general insurance industry greatly need Singaporeans. It's not a sales job, and you deal with a very cosmopolitan working community. Pay is not fantastic like the bankers, and not as glamourous as the bankers, but whoever that needed work, it's the next best thing in my view!