Such a Deal!
In the early 1990s, it was apparent that existing Canada
Pension Plan (CPP) contribution levels could not sustain future benefits. In
early 1998, the CPP was amended to phase in a dramatic increase in the required
contribution rates. The new regulations took contribution rates from 5.85% of
pensionable earnings in 1998 to 9.9% in XXXXXXXXXXThe rate was only 3.6% in 1966
when the CPP system began.) Pensionable earnings are basically annual
employment or self-employment income falling between $3500 and an upper amount
that is inflation-adjusted. In 2015, this upper limit was $53,600. Therefore,
if your employment income in 2015 was more than $53,600, you and your employer
each paid half of the maximum CPP contribution for 2015 of:
0.099 × ($53,600 − $3500) = $4,959.90
The primary benefit that contributors expect to receive from
the CPP is the retirement pension. This pension is indexed to the CPI. To be
eligible for the maximum CPP pension, you must be age 65 and have made the
maximum annual CPP contribution for 83% of the years since 1965 or age 18,
whichever is the shorter period. In 2015, the maximum annual CPP retirement
pension was $12,780.
In this Point of Interest, we will estimate the rate of
return that CPP contributions must earn to deliver the expected pension. The
assumptions are:
• Shona begins to make maximum CPP contributions ($4,959.90)
at age 25 in 2015.
• Thereafter, the rate of inflation (and, consequently, the
annual increase in the CPP contribution and the retirement pension) will be 2%.
• Shona will retire and begin drawing the maximum retirement
pension at age 65.
• Shona will live to age 86 (current life expectancy for a
woman aged 65).
• CPP contributions and pension payments will be made at the
end of each year.
If the pension is funded by Shona’s contributions,
(Future value, at age 65, of CPP contributions ) = (Present
value, at age 65, of pension payments )
Since both the contributions and the pension payments grow
at the constant rate of inflation, Formulas XXXXXXXXXXand XXXXXXXXXXmust be used for
these calculations.
 QUESTIONS
1. What is the future value, at age 65, of Shona’s CPP
contributions if the rate of return they earn is:
a. 3% compounded annually? b. 4% compounded annually?
2. What will be the (indexed) CPP retirement pension in
Shona’s first year of retirement? (The maximum annual CPP retirement pension in
2015 was $12,780.)
3. What is the present value, at age 65, of Shona’s pension
payments if the discount rate is:
a. 3% compounded annually? b. 4% compounded annually?
4. Suppose Shona could take the amounts that she and her
employer will contribute to the CPP and instead invest these amounts to provide
for a do-it-yourself pension. What is your estimate of the minimum rate of
return Shona’s investments must earn to provide the same pension payments as we
have projected for the CPP retirement pension?
5. Are you underwhelmed? (No explanation is required.)