Getting 100% for N years or 106.5% for (N-1) years,
if they are equal, what is N?
106.5 (N-1) = 100 N
N = 106.5/(106.5-100) = 16 years
Here is another government calculator. The result for me is
begin 1/2007 get 124.38% = this begin 1/2008 get 130.88% = next For crossover N years solve: next * (N-1) = this * N N = next/(next-this) = 20 years.Oh well, 16 or 20 years, close enough for government work. Anyway, I don't expect to live that long.
This calculation totally ignores the time value of money which a decade from now is a very significant adjustment.
This calculation ignores changes in income tax bracket. I don't think that will amount to much.
If keep working after retirement I might lose benefits or be taxed on the benefits. I'm not going to try to figure this out.