How long does it take for a client's payment to show up in my connected bank account?
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It takes approximately 2-3 business days. Payments are bundled into payouts at the end of the day UTC and sent out early in the morning UTC.

By this logic, let's say you received a payment at 9:00pm PST on April 24th, which is early morning UTC on the 25th, we'd expect to see that payout occur by the end of the day on the 27th UTC.