The notation
The standard form puts the discount first, the discount window second and the net period third. Two ten net thirty means two per cent off if paid within ten days, otherwise the full amount at thirty days. One fifteen net forty five means one per cent within fifteen days, otherwise full payment at forty five.
The formula
Annualised cost equals the discount divided by one minus the discount, multiplied by 365 divided by the number of extra days gained. The second term converts a single short period into an annual rate; the first term expresses the discount against the amount actually paid rather than against the invoice face value.
A worked example
For two ten net thirty: the discount is 0.02, so 0.02 divided by 0.98 gives 0.020408. The days gained by paying at thirty rather than ten is twenty, so 365 divided by 20 gives 18.25. Multiplying gives 0.3724, or approximately 37.2 per cent a year. In plain terms, a buyer who declines this discount is borrowing from their supplier at an implied rate far above what a normal short-term facility would cost.
The same maths from the supplier side
A supplier offering that discount is paying about 37 per cent annualised for twenty days of accelerated cash. That can be entirely rational for a business whose alternative is a more expensive facility or a missed opportunity. It is rarely rational as a standing policy, and the first thing worth checking is whether the same cash could be released by invoicing accurately and submitting before payment run cut-offs, which costs nothing.