Investment banking associate here - I have a moderate to severe stutter and it’s improved over the years. I broke into a small boutique firm and stuttered so bad I had to use the keyboard to finish my answers. Never stopped me. Go for it! At your age I would do a too MBA though if you want to land IB or anything high finance. If you want to be a financial representative (Series 7 role) you can apply to that but it’s mostly commission. Best of luck!