Pension Trends   Volume X, No. 2, July 2009   

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Not So Funny Math
          


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Not So Funny Math

Here are some new math concepts we want to share with you and your clients. We wish these were intended to be lighthearted, but they are not. Each is relevant to successful planning for retirement.

Question: When does 50% = 100%?

 

Author Profile

 

Alan J. Stonewall
FSPA, EA, MAAA

This article was written by Alan J. Stonewall, FSPA, EA, MAAA.  Mr. Stonewall is a former president of the American Society of Pension Professionals & Actuaries and former chairman and board member of the Actuarial Standards Board.  He is a current board member of the Actuarial Foundation.

If you would like to contact Mr. Stonewall or any of the other eleven consultants at Independent Actuaries, Inc., please call 503.520.0848 or toll-free at 888.643.5179.

   

Answer: When your IRA or your 401(k) account goes down by 50%. If it does, you have to earn 100% just to get back to square one. For example, if you had accumulated an account balance of $180,000 and lost 50%, you would be left with $90,000. To get back to your original account balance of $180,000 you would need to earn $90,000 which is equal to 100% of your current balance.

The good news is that if you "only" lost 30% of your account balance in the recent stock market slide, you would "only" need to earn back 43% in order to recover your losses. The moral of this story? When saving for retirement, a conservative, diversified portfolio increases the chance you will hold onto your retirement dreams.

Question: When does 79.2 = 83.3?

Answer: When you factor in improvements to longevity. Life expectancy for a typical American male age 65 today is something on the order of 18.3 years. Back in 1951 when analysis was done to develop the 51 Group Annuity Mortality Table, a 65-year old American male had a life expectancy of only 14.2 years. That translates to almost a 30% longer retired lifetime (assuming an age 65 retirement). For females the change is somewhat less dramatic, from 17.1 years to 20.5 years, a 20% improvement.

The related question, for which there is no reliable answer, is whether we will continue to experience increasing longevity improvements. Of course, no one knows with certainty, and opinions among experts differ. Perhaps more important to you and me is what does an average life expectancy mean to us individually? The answer is not much. The chance that our typical 65-year old male will die at age 83 is less than 10%. In other words, the odds are he will live to an age other than his life expectancy! That is why it is so difficult for someone to look at his or her 401(k) account and feel comfortable that it will last a lifetime. What lifetime?

Question: 0 divided by 0 = What?

Answer: Any mathematician worth his or her salt will tell you 0 divided by 0 is indeterminate. While this result is of interest to only a few of us egghead mathematicians, the federal government has developed not one, but two definitions because... well, just because.

For purposes of determining whether a defined benefit plan is adequately funded, prior to PPA it decided 0 divided by 0 equals 1. That is, a plan with no assets and no liabilities was considered to have a 100% funding ratio. Put another way, a plan with no assets and no liabilities was not considered to be underfunded, an altogether logical result.

However, under PPA, a DB plan with neither assets nor any liabilities is deemed to be 0% funded. This conclusion is reached by deciding that 0 divided by 0 now equals 0, not 1. Any plan with a funding ratio of less than 60% is subject to a number of restrictions and limitations. So, every new DB plan that does not yet even have a funding obligation is deemed to have a 0% funding ratio and must therefore notify its participants that they are part of an underfunded plan subject to restrictions and limitations. This not-so-logical result has been brought to the attention of regulators, and it is our hope they will revisit their new math.

Question: When does 7 = #1?

Answer: When you are counting enrolled actuaries. In the Pacific Northwest, only one locally-owned pension consulting firm has seven enrolled actuaries to serve its clients. At IAI, we are proud of our unique position in the actuarial arena – an employee-owned firm with national actuarial power and expertise, and local market fees and service commitment.

We look forward to serving you and your clients for years to come.

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This newsletter has been published in order to share general information with our professional contacts. The information presented in this newsletter should not be acted upon without first seeking the advice of a CPA, attorney or other benefit professional. 

Pension Trends
, Volume X, No. 2, July 2009
Copyright © 2009 Independent Actuaries, Inc.


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