Richard: It acts as a 'payment date'. The Due dates (to/from) is only relative to the open invoice selection criteria of the payment proposal. By default when an invoice is selected for payment the payment date = due date, except when the 'method of payment' is set to 'total' (or specific day/week criteria), and a 'Summary payment date' is entered into parameters screen of the payment proposal. If a date is defined, all payments are created on this date. The 'Minimum payment date' field is ignored. The 'minimum payment date' is used to specify the earliest payment date. For example, the From date and To date fields specify a range from September 1 to September 10, and the minimum payment date is September 5. In this case, all invoices that have a due date from September 1 to September 5 have a payment date of September 5. However, all invoices that have a due date from September 5 to September 10 have a payment date that is equal to the due date of each invoice. My experience is that this date must be greater than today's date.
In typical US configurations we set all 'method of payment' periods = 'Total' (Vendor gets one payment for all invoices)
When the payment proposal is generated the selection dates indicate what 'due date' we are paying through (I am selecting all open invoices with a due date through my next check date)
I am entering a 'Summary pay date' (the date of the check/ach/wire) (generally todays date), as those payments are going out 'today' (if your signing review process takes 2 days then you might 'date' them 2 days later, and they are 'released/mailed' on that date.
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