
A change in the "annual withdrawal increase (%)" applies the selected percentage increase to the value set by the "initial annual withdrawal". For example, if the initial annual withdrawal is set at $1000 and the annual withdrawal increase is set at 5% (to keep up with inflation, say), then the annual withdrawal for the second year will be $1000 x 1.05 = $1050. The annual withdrawal for the third year will be $1050 x 1.05 = $1102.50 and so on.

,
where

is the annual return as a fractional value and

is the chosen annual withdrawal rate.
This Demonstration solves the above differential equation over a settable range of 0 to 30 years. When the constant annual withdrawal exceeds the investment return, the value of the fund declines over time. In this situation, the "value ($K)" column of the table may turn negative. In this case, the fund has been exhausted and the additional rows and columns of the table are not meaningful.