What does your savings rate buy you?
Put in your take-home pay and the share of it you invest. The answer is how long before the money covers what you spend.
Years until the money covers your spending
0
The same pay, a different share
Why the paycheck cancels out
Raising the share you invest does two things at once. It puts more in, and it lowers the
number you are aiming at, because the target is built from what you spend. That is why the
timeline above moves so hard when you drag the share slider and barely moves when you change
the pay. Work the algebra through and the income term divides out of the answer entirely.
A bigger paycheck still helps in every way that matters day to day. It just does not shorten
this particular timeline on its own, unless the raise goes into the investing side rather than
the spending side.
The honest version
This is arithmetic and not a plan. It assumes a steady real return, a spending level that
holds, and a withdrawal rate that works. Real returns arrive out of order, and a bad decade
early does more damage than the same decade later, which this does not model at all.
The withdrawal rate is a rule of thumb, not a law. It came out of studies of a particular
stretch of US history. Slide it down to 3% and watch the years move, because that uncertainty is
real and it belongs on the screen rather than buried in a footnote.
Not in here: taxes, health insurance before Medicare, kids, a mortgage getting paid off, social
security, or the fact that almost nobody holds one savings rate for thirty years. Treat the
number as a direction rather than a date.