@ZlTntQ2-zqi you are partially correct but.... I'm speaking from a management perspective here....and also speaking only of the annuity amount, not the actual cash value which some of us have in our pensions to some degree as the pension plans have changed over the years.
If you retire before certain breakpoints, there are "multipliers" applied to your payout which reduce the payout amount. For example, let's say someone retires at 50 with 27 years of service. They've even reached MR75; however, there is a major breakpoint (for many employees) at 30 years. That person CAN retire and CAN receive their pension at 50/27, but there's a "penalty" of sorts applied to it so that it's significantly less than if they retired at 30 years service
In fact, if that same person waited to retire until 52 years and 364 days, just one day shy of their 30th service anniversary, the payout would be MUCH LESS than if they waited just one more day. It has to do with that multiplier.
If you have access to tSpace, go to the Your Money Matters forum and look for a thread that says something like "What happens to the pension at age 50?" A lot of people chipped in to kind of solve this mystery. I didn't understand it fully myself. The table of multipliers is buried way in the back of the pension plan documentation.