How long does it take from when I open an account until my first investment gets funded?
The entire process typically takes 3-4 weeks.
The turnaround time is largely dependent on the firm currently holding your funds. Some institutions are quicker than others in responding to transfer/rollover requests.
If you are transferring funds from an existing IRA, you can speed up the process by requesting a wire instead of a check. This will eliminate mail time and check clearing time, shortening the process to 2-3 weeks.