Investing in investment banks depends on strength or relationship, and projects with hard relationships are easy to do. Financial mathematics is ok. You'd better learn financial mathematics by programming and doing quantitative trading. Investment banks are more welcome to study science and engineering, and it is best to understand accounting, finance or legal background. If you want to go to an investment bank, you'd better be healthy. Generally, you will be very tired when you first go, and your income will definitely be high. Finance is not equal to investment banking. If you are not a particularly good school, I really don't recommend you to study financial mathematics. Please introduce your background before asking questions.