The iPhone 16 Pro Max costs £1,149.00 new compared with £269.00 refurbished (no longer sold new) for the iPhone 13 Pro Max. Buying the iPhone 16 Pro Max refurbished instead of new saves £519.05. If you want Apple Intelligence support, USB-C charging and a larger 6.9" screen, the iPhone 16 Pro Max is the better choice. If value is your priority, the iPhone 13 Pro Max offers the stronger buy at a lower price point.