Issue in Brief
turely depleting one’s resources. The household’s
goal is to optimize this tradeo – in economic jargon,
to maximize the expected utility of consumption.
This analysis uses the example of a married couple
in which the spouses are the same age and both
retire at .
The husband receives Social Security
benefits of $, annually, and the wife receives
$, through a spousal benefit, for a total house-
hold income of $, per year.
Assume that the
household has $, in financial assets, excluding
the equity in their house.
The investment options
include stocks and risk-free bonds.
Each year the
household decides how to allocate its assets between
stocks and bonds and how much to take out of its
account. The model yields a draw-down pattern that
maximizes the expected utility of consumption.
The Horse Race
The next step is to conduct a horse race in which the
benefits generated by the optimal draw-down strategy
are compared with the benefits of the traditional rules
of thumb. This comparison uses a measure called
Strategy Equivalent Wealth (SEW). The number for
each strategy is the factor by which the dollar value of
the household’s wealth, at age , must be multiplied
so that the couple is as well o as a household that
follows the optimal strategy. The optimal strategy has
an SEW of , and the SEWs for the suboptimal strate-
gies are, by definition, greater than .
Figure shows the results for the retired couple.
For the rules of thumb, the SEW factors range from
. for the life expectancy strategy – the best – to .
for the -percent rule – the worst. Interestingly, the
RMD approach, with an SEW of ., performs better
than the -percent rule. In dollar terms, the couple
would need about $, more – or percent (.
minus .) of their $, savings – to be persuad-
ed to use the -percent rule instead of the RMD strat-
egy. The RMD approach also has advantages over the
other rule of thumb strategies, as discussed earlier,
that are not captured in the SEW calculations. For
example, the RMD approach is easier to follow than
the life expectancy strategy. And the RMD approach
does not provide a temptation to chase dividends as
does the interest only strategy.
1.49
1.39
1.36
1.29
0.0
0.5
1.0
1.5
2.0
F . D- S, S
E W (SEW)
Source: Webb and Sun ().
-percent rule
Required minimum
distribution
Spend interest,
dividends only
Spend assets over
expected lifetime
Optimal
Making Good Better
A potential criticism of the RMD rule is that it results
in relatively low consumption early in retirement.
While this outcome might be optimal for some
households, particularly those fearful of rising health
care costs, others might prefer greater consumption
at younger ages when they are better able to enjoy it.
This result could be achieved by a modification to the
RMD rule, namely to consume interest and dividends
(but not capital gains), plus the RMD percentage of
financial assets. To illustrate, a -year-old couple
with financial assets of $, who received $,
of interest and dividends in the last year, would spend
$,: the $, in interest and dividends, plus .
percent (the age Annual Withdrawal Percentage
under the RMD strategy) of $,. In contrast, a
household following the unmodified RMD rule would
spend just $,.
Figure on the next page compares the SEW of
the modified RMD strategy with the SEWs of the
strategies reported in Figure . At ., it outper-
forms all the alternatives, including the unmodified
RMD rule. The disadvantage of the modified RMD
rule is its greater complexity. Although (k) and
IRA statements report interest and dividends, house-
holds must extract this information and perform the