Futurama scene where Fry has been transported to the year 3000 and he still has his ATM card: The bank teller checks Fry's bank balance. She says, "You had 93 cents in your account in 2000. With an average interest rate of 2.25% compounded for 1000 years . . . that brings your balance to $4.3 billion dollars."
The math is correct. Plug those numbers into the compound interest formula, Pn = P0 (1 + r/100)^n, and you really do get $4.3 billion.
Your gut feeling is that even with 93 cents, you could retire rich. Not a billionaire, but comfy. It ain't so. In 50 years, you'd have $2.83. And even that $2 gain would be wiped out by a single monthly banking fee :-).
In 400 years, $6820. My intuition told me that I should be in the millions by then. Wasn't even close. Didn't even account for taxes and inflation.
And then housing and health insurance is like 2.5 times higher. It all totals to be the official rate, but man does it feel uneven.