Terminal Wealth Dispersion, Life Expectancy and Individual Retirement Accounts


Terminal wealth dispersion is the technical term that describes the variability of the future value of investment portfolios. This inevitable variability means that no one knows what the value of their investment portfolio will be when they reach retirement age or at any time during their retirement. And the uncertainty of individual’s life expectancies compounds this problem.

Hedging against the risks associated with these two factors places an onerous burden on individuals. Although this hedging could result in a very comfortable retirement, if one can afford the hedge and their timing is right, the potential downside risk is so great that it may be deemed unacceptable by many individuals. So one has to ask “Do individuals really prefer to forgo a sure but modest retirement income and play the odds with their retirement savings in hopes of being very well off in retirement JasonTreuPodcast?”

With individual accounts, individuals lose the benefit of the pooling of risks. The two risks that force individuals to over-save are investment risk and the risk of living beyond the average life expectancy. In both cases the outcomes, terminal wealth and life span, are highly variable. When the risks are pooled for a large number of individuals over many overlapping life spans, the average outcomes are highly predictable, which is what makes traditional pension plans work so well.

Traditional pension plans exist, for all intents and purposes, in perpetuity. This being the case, they can build reserves during good times in the financial markets and weather the bad times, thus enabling them to make consistent payouts to retirees regardless of the timing of their retirement. Unfortunately, individuals do not get to choose their holding periods or the years of their retirement and must take whatever comes along, and what comes along might be good or it might be bad. Thus individuals must set savings goals that are sufficiently high to hedge against the risk of the average return of an investment portfolio over its holding period falling well short of that which would be expected very long term.

The relatively short duration of individual’s holding periods leave them very susceptible to the effects of market cycles, which are notoriously unpredictable in amplitude and frequency. Being broadly diversified mitigates this risk but does not eliminate it, as it’s entirely possible for a worldwide bear market to occur during one’s holding period. Then at the end of the holding period for wealth accumulation, a second holding period begins, which will be the term of retirement, and this second holding period carries the same risks as the first, but at a time in life when there is no source of income to make up for portfolio under-performance.

The other component of risk that individuals must hedge is the risk represented by the uncertainty of one’s life span, which means that individuals must aim even higher when setting their savings goals. The managers of large pension plans can depend on retirees living on average for only the average life expectancy of employees who reach retirement age. The average life expectancy for someone who reaches the age of 66 is currently 82 years, and 66 is currently the age when workers are eligible for full Social Security benefits, which makes it a reasonable baseline. Based on those assumptions, the average term of retirement would be 18 years and pension plans should only have to be funded to the extent necessary to cover the cost of this average term of retirement.

Individuals, however, don’t know how long they’re going to live, so they must over-save to ensure that they don’t run out of money before they run out of time. This need to over-save is independent of the first need, thus the need to over-save is compounded, i.e., an individual needs to save enough to cover the cost of living well beyond the average life expectancy and the targeted amount of savings at retirement age must be great enough to ensure with a reasonably high level of certainty that the actual amount on hand at retirement is at least the bare minimum necessary to get by on.

A popular estimate of the term of retirement for which individuals must plan is 30 years. Saving enough to cover the cost of a 30-year retirement is a much greater burden than saving for an 18-year retirement, but planning on a shorter retirement exposes individuals to tremendous risk. It also exposes taxpayers to tremendous risk, as individuals who outlive their savings will undoubtedly require some form of public assistance to make ends meet and are likely to become wards of the state when they become physically incapable of caring for themselves.

An individual who bases their retirement saving on living to the age of 96 but only lives to be 82 will have forgone a lot of pleasures in life, such as travel, fine dining and better vehicles, that they could otherwise have enjoyed. But many individuals just don’t have the level of income required to support the saving rate necessary to amass the wealth required to hedge against the downside of terminal wealth dispersion and the possibility of living well past the average life expectancy. For them it’s not a matter of forgone consumption, it’s a matter of going through life with the knowledge that they are likely to spend their golden years living in abject poverty and that that will be their reward for 40 or 50 years of hard work. And it gets worse!

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