Types of employers
Commercial banks, the financial sector regulators, accounting firms, insurance companies, crediting rating firms, exchanges, etc.
Some examples of employers
HKMA, SFC, HKEx, U.S. SEC, accounting big4, Swiss Re, Nomura, Bloomberg, UBS, Deutsche Bank, etc.
Relevant courses
Find more info for non-economics requirements: https://www.cuhk.edu.hk/334/english/curriculum-structure/index.html
Study path
Undergraduates should frequent the Bloomberg terminals available from within the department. Get yourself familiar with the data available there. Your ECON 2901, 4901, and all your courses that require a term paper should have a coherent theme on a particular area of finance. If compliance is an area you are fond of, think of the incentives problems in compliance from within a bank, or the interactions among regulators and banks. Develop research ideas surrounding compliance makes it much more reasonable for you to sell yourself as a future core member of that sector. Ultimately, expect to convince others that you are confident in performing in that area.
CUHK Economics occasionally invites past alumni from Banking, Finance and Accounting to share their experience. Get to know them. Networking and getting more info are as important as your academic record. Try the best you can to do internship(s) starting from your year 1 summer. While you may or may not get into that sector yet, chances are that you are more likely to get into that sector with an irrelevant internship than someone without an internship at all. Exchanges and internships are indicators of your ability to cope with different environments. Do apply for them.