Investment banks hire candidates from all degree disciplines. Investment banking is not a vocational career like law or medicine where you actually need to study that subject to get a job in that field. Investment banks handle a very broad client base and because of that they like the people that they hire to reflect the diversity of that client base.
Every team in an investment bank focuses on a very narrow field of finance and it is unlikely that any one degree will cover everything you need to know to function efficiently on a given team in an investment bank. Most of your learning will happen on the job.
That said, the majority of investment bankers will have done finance-related degrees. Doing a finance-related degree shows that you do have an innate interest in finance so when you're asked, "Why do you want to be an investment banker?" You can point at your degree as one of the reasons.
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