While the private sector
primarily utilizes a defined contribution
scheme, where employers will contribute funds to a 401(k) account that an
employee is in charge of managing, the public sector predominantly has a defined benefit pension system where
fixed dollar amounts are promised during retirement.
To illustrate these concepts,
let us consider the case of a 40-year-old who opts to retire at age 65, and
then receives a defined benefit
amount for the rest of his/her life. For
simplicity, looking at a single payment illustrates how projected investment
returns considerably influence how much money needs to be contributed now.
Money contributed in
2013 è Compounds for 25 years è Money for retirement in 2038
Suppose that upon retirement
in 2038, the worker is supposed to receive a payment for $100,000. State and local governments must contribute
money now, in 2013, to ensure the retiree will receive $100,000 in 25
years. The compound interest rate (also
called the discount rate) reflects
the state’s estimate of annual investment returns over the next 10-20
years. You can also think about the
discount rate as the expected rate of return (which in theory should be
achievable with the asset mix the pension fund uses). For example, if you believe that investing in
stocks and bonds will generate a 6% annual return over time, then 6% would be
the appropriate discount rate.
A high
discount rate allows for smaller contributions now in the hope that
significant appreciation will grow the amount to $100,000. A low discount
rate means that larger contributions must be made now.
Given that states are
struggling to balance their budgets, many are using more aggressive assumptions
in order to save cash now. However, if
actual investment returns fall short of these targets, states will have to
contribute substantially more money
in the future to compensate for this shortfall.
Despite lower interest rates and
investment returns, many public pension plans have never adjusted the discount
rate, exposing these plans to grave risk.
Let’s look at the difference
between compounded returns of 8.25% vs. 6.50%.
Many state governments are using figures around 8.25%, while
corporations are (by law) using a much more conservative 6.50%.
? contributed in 2013 è 25 years @ 8.25% è $100,000 in 2038 vs.
? contributed in 2013 è 25 years @ 6.50% è $100,000 in 2038
Required contribution using
8.25% rate: $100,000 / (1.0825) ^25 = $13,782 vs.
Required contribution using
6.50% rate: $100,000 / (1.0650) ^25 = $20,714
Reducing the discount rate by
1.75% (from 8.25% à 6.50%) necessitates contributing a staggering 50%
more money now. It’s no wonder that
states have generally opted to use a significantly higher discount rate, but in
this “new normal” rate environment, they are likely deluding themselves. Yet even
at the high discount rates, states have promised far more in benefits than
they will be able to pay, resulting in massive projected shortfalls.
For instance, New Jersey,
only the 11th most populous state, has unfunded pension
liabilities of $55,000 million at an
aggressively high discount rate. Applying
a more conservative discount rate, this number increases to around $100 billion, fundamentally compromising
the state’s capability to provide any other desired services (e.g., education,
human services, transportation, etc.).
In order to shore up the
pension system, state governments will need to adopt a combination of these
politically unpopular, yet economically
necessary, approaches to stave off a true fiscal crisis where everybody
will lose out (defaulting on debt, huge cuts to state budgets, and not having
cash to pay retirees):
1) Employees contributing more to their pension
plan to ensure its sustainability
2) Gradually migrating from a defined benefit to a defined contribution system
Unfortunately, politicians
who care about their self-interest above all else have “kicked the can” on
pensions and other issues for years, and it takes statesmen to address
difficult fiscal issues now in order to stave off financial ruin later. When offering constructive ideas, the debate
is often poisoned by public sector unions claiming that teachers, police
officers, firefighters, clerical workers, etc. are being attacked, when in fact
pension reforms are necessary to ensure the solvency of the very system they are relying on for retirement.
For any helpful discourse, it
is paramount that both sides separate the individual from the union they are
required to join. The default response
from certain interest groups has been to demonize the messenger without
offering any meaningful proposals, but it is critical for people to see through
that shallowness. Hopefully these
mathematical concepts and their applications were illuminating.