Let's talk about how these endorsements actually land in your logbook, because students get this wrong all the time. There is no checkride for a high-performance or complex endorsement. There is no examiner, no written test, no application to the FAA. It is purely an instructor sign-off. Your CFI provides ground training and flight training, decides you are proficient, and writes a one-time endorsement into your logbook. For high-performance, the endorsement cites 14 CFR 61.31(e). For complex, it cites 61.31(f). The wording comes straight out of Advisory Circular 61-65, and your instructor signs it with their certificate number and its expiration date. A common mistake is thinking you need a separate endorsement for each airplane. You do not. One high-performance endorsement covers every high-performance airplane you are otherwise rated to fly. One complex endorsement covers every complex airplane. If you trained in a Cessna 182 for high-performance and later want to fly a Bonanza, you are legally covered, though I'd still want you to get a proper checkout. Keep a clear photo or scan of the endorsement page. If you ever lose the logbook, that endorsement is your only proof you hold it, and there is no FAA database to fall back on. Treat it like the certificate it effectively is.