Symbolic notation is used throughout the model development, so it would be wise to review the meanings of the symbols before perusing the modeling.

Once you have retired, you no longer have need of the consolidated  pre-retirement planning equation, and solutions revert to the much simpler present value form of the geometric gradient series.

Item	Cash-flow diagram	Equations
Modeling the retirement years		The present-value form of the geometric gradient series is used for inflation-adjusted retirement income planning.  The cash flow diagram is shown in red to the right.  The equation is as follows: The entire inflation-adjusted retirement series is calculated from R1 as follows: Two forms of the equation are often used in post-retirement planning
	a) to find the distribution, defined by R1, that will last the retiree the rest of his life, n
	b) to find n for a given distribution, defined by R1
Auxiliary Equation		n = DD  - DO

A complete example of each variation on a theme is provided.  These examples also allow you to substitute in your own data to personalize your own solution(s).  

©2008, Simon Revere Mouer III, PhD, PE
all rights reserved