Robert Muksian is a professor of mathematics at Bryant University in Smithfield, Rhode Island.


Walter from CA posted over 6 years ago:

Excellent article.

Makhtar from NJ posted over 6 years ago:

No comment really, this is a great tool for the novice investor like myself.

Lawrence from MD posted over 6 years ago:

I'm need to study this more as it allows a 25% increase in withdrawals (at an interest rate of 3% for 30 years) from retirement savings than the conventional "take no more than 4%.
The use of an interest rate of very low interest rate of 3% should adjust for many of the fluctuations in the market but to be sure I'm also using as the savings the lowest balance it has been in 5 years.

Peter from UT posted over 6 years ago:

I have spread sheets and a computer. Don't need these rules anymore. This for the land line set.

John c from IL posted over 6 years ago:

The other magic number is tax which does not appear to be mentioned in the article.

W from PA posted over 6 years ago:

An HP calculator will do all that without having to use all the math required here!
Don Joran, CLU, ChFC

George from OK posted over 6 years ago:

Helpful article. The PDF link in the last paragraph doesn't seem to be working:

"For more detailed math on magic numbers and their use in annuities, a PDF file is available here ("

Would very much like to see the Magic Numbers Appendix when the link is fixed. Thanks!

Charles from IL posted over 6 years ago:

The link for the appendix has been fixed. -Charles Rotblut

Dan from NC posted over 6 years ago:

A fine article for individuals investing in fixed income securities only. However, these projections are guaranteed to mislead investors savings, withdrawals, and longevity rates since variable securities, like stocks, funds, etc., will never produced a reliable fixed rate of return in perpetuity. Investors are better off finding a bootstrap Monte Carlo program to plan for investing a withdrawals rates.

Allen from PA posted over 5 years ago:

Too complicated for even the experienced investor and pre-retiree's. I would like to see a table..One Table that explains the following: If I get 4% return on my protfolio overall this year, how much can I withdraw at the end of 'this' year so that my money will last the 29 remaining years of the 30 years? I think a table would make it more simple and offer a guide for people to use. Adjust for inflation and taxes and I think you could have an article that is helpful to all and only one page! Please try again..Thank you..

Robert Reichert from AZ posted over 3 years ago:

What is the ideal annuity that will continue to
grow, provide a month pay out and still have a
substantial total remaining at time of death for
my children?
What about the so called 8% it impossible??

Robert Reichert from AZ posted over 2 years ago:

Where is the reply for Robert Reichert's
question on the above?

Robert Reichert from AZ posted over 2 years ago:

Should one use variable annuities for maximum growth and if so,
would you suggest using index only mutuals for
Robert r.

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