The following table compares the compounded annual returns (CARs) for the last 15 years between portfolios comprised of the median (half did better, half did worse) actively managed funds versus similarly weighted portfolios of index funds.

1 
2 
3 
4 
5 
6 
7 
8 
Asset Class 
Index 
Active 
IA 
Margin 
IMER 
IMERA 
Margin 
15yr Diff 

no MER 
with MER 
diff 
diff/Active 
0.5% MER 
diff 
diff/Active 
(diff)^15 
TSE 100 TR  Canadian Equity 
12.5 
10.8 
1.7 
15.7% 
12.0 
1.2 
11.1% 
19.6% 
SCM Bond Universe  Can Bonds 
10.4 
8.9 
1.5 
16.9% 
9.9 
1.0 
11.2% 
16.1% 
S&P 500  US Equity 
15.7 
14.4 
1.3 
9.0% 
15.2 
0.8 
5.6% 
12.7% 
MSCI EAFE  Global Equity 
14.0 
11.0 
3.0 
27.3% 
13.5 
2.5 
22.7% 
44.8% 









increasing Canadian Equity 








20/40/20/20 
12.6 
10.8 
1.8 
16.7% 
12.1 
1.3 
12.0% 
21.4% 
30/40/15/15 
12.4 
10.6 
1.8 
16.5% 
11.9 
1.3 
11.8% 
20.6% 
40/40/10/10 
12.1 
10.4 
1.7 
16.4% 
11.6 
1.2 
11.6% 
19.8% 









increasing US Equity 








20/40/20/20 
12.6 
10.8 
1.8 
16.7% 
12.1 
1.3 
12.0% 
21.4% 
15/40/30/15 
12.8 
11.2 
1.7 
15.2% 
12.3 
1.2 
10.7% 
19.5% 
10/40/40/10 
13.1 
11.5 
1.6 
13.8% 
12.6 
1.1 
9.5% 
17.7% 









increasing Global Equity 








20/40/20/20 
12.6 
10.8 
1.8 
16.7% 
12.1 
1.3 
12.0% 
21.4% 
15/40/15/30 
12.6 
10.6 
2.0 
18.3% 
12.1 
1.5 
13.6% 
24.1% 
10/40/10/40 
12.6 
10.5 
2.1 
20.0% 
12.1 
1.6 
15.3% 
26.9% 
[Returns data is from the Financial Post's 15year mutual fund review for the period ending 30Jun00 (published 29Jul00.)]
Column 1 shows pure index returns, i.e. without allowing for management expense ratios (MERs.) This is a theoretical rate of return that can be achieved only if all costs are eliminated.
Column 2 shows the performance of the median activelymanaged fund or fund portfolio.
Column 3 indicates by how many percentage points each year an indexed portfolio outperformed an equivalent actively managed portfolio, i.e. Col6 = Col1  MER  Col2.
Column 4 expresses this annual outperformance as a percentage (margin) over an actively managed portfolio, i.e. Col4 = (Col1  Col2)/Col2. A value of 13.2% means that the margin by which the indexed portfolio outperformed represents 13.2% of the activelymanaged portfolio's annual return.
Column 5 shows the annual performance of a portfolio implemented with index funds after allowing for an average MER of 0.50%.
Column 6 indicates by how many percentage points each year an indexed portfolio outperformed an equivalent actively managed portfolio, i.e. Col6 = Col1  MER  Col2.
Column 7 expresses this annual outperformance as a percentage increase (margin) over an actively managed portfolio, i.e. Col7 = (Col1  MER  Col2)/Col2. This is similar to Column 4 except that it accounts for MERs.
Column 8 shows the total additional returns that an indexed portfolio achieved over the 15 year period compared to an activelymanaged portfolio.
Following the data for the individual asset classes is data for typical portfolios. The aa/bb/cc/dd indicates the percentage weightings respectively in Canadian equities, Canadian bonds, US equities and Global equities. The typical Canadian RRSPeligible balanced fund (median 15yr CAR ~9.5%) has a 40/40/10/10 composition.
One should be hesitant to draw any strong conclusions from just 15 years of data since that's a relatively short period to study. But that's all the data generally available for Canadian mutual funds. This hesitation is especially important considering that the past 15 years have seen (a) a sustained reduction in inflation and interest rates, and (b) the greatest bull market of the century in the US. How long can this continue?
That said, the approximately 1 percentage point annual outperformance of indexed portfolios is striking. This represents an approximate 10% margin of outperformance over actively managed funds. Given the powerful effects of compounding over long time periods, even an annual advantage of 1 percentage point is significant.
Why these numbers are biased against indexed portfolios:
 The 0.50% MER "handicap" imposed on the index portfolios is at the high end of the range. Most investors can reduce the effective MER using a hybrid of Index Participation Units (IPUs like XIUs and SPYs) and lowMER index funds. Those with more than $150K can reduce the total MER to 0.30% or less using CIBC index products, either exclusively or in combination with IPUs.
 The 15year numbers for activelymanaged funds are inflated due to survivorship bias. Many of the poorest performing funds no longer exist so their subpar performance no longer drags down the averages. It's difficult to assess how much an effect this has.
 In taxable accounts the indexed portfolios will do much better on an aftertax basis due to their generally lower turnover. Again it's hard to assess how much of an effect this has. And of course in RRSPs this is not an issue.
What these numbers don't tell us:
 Generally speaking, lowMER activelymanaged funds outperform similar highMER funds. How much would the results differ if we excluded the highMER funds from the fund averages?
 Studies have shown that one derives a "rebalancing bonus" by periodically selling the better performing asset classes and using the proceeds to buy more of the laggards. This bonus can add an annual performance improvement of 1% or more. The comparison makes no provision for rebalancing. (The benefits of rebalancing can be better realized inside taxsheltered retirement accounts like RRSPs.)
 Returns are only one dimension of portfolio behaviour. An investor's ability to sleep well during the inevitable market downturns is also important, however the comparison does not address the volatilities (standard deviations) of the various portfolios.
Conclusions:
 Vanguard's John Bogle says, "costs matter." The above numbers provide strong evidence that this is true.
 Small differences add up over time. Column 8 indicates that a 1% improvement in a portfolio's annual return adds ~16% in total return after 15 years. And thanks to the power of compounding, that advantage grows to 22% after 20 years, 35% after 30 years and 49% after 40 years! (A 2% annual advantage grows from 34% after 15 years to a whopping 120% after 40 years.)
 For "typical" asset mixes one could achieve 11% or 12% compounded annual returns over the past 15 years. (40% in bonds may not be "typical" for everyone but it is typical of many balanced funds.)
 A simple RRSPeligible portfolio of activelymanaged funds (40% Canadian equities, 40% bonds, 10% US equities and 10% global equities) seems to beat the average Canadian balanced fund by ~1% per year. An indexed version of the same portfolio wins by an even wider margin.
Previous Comparison Tables:
15 years ending 31Dec99
15 years ending 30Jun99
15 years ending 31Dec98 and In Defense of Index Funds
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