By Dan Hallett, CFA, CFP
In response to many fee-bashing articles of late, I recently urged both the media and the investment industry to broaden the focus to not only fees but also other less obvious performance drags that are tougher to control.
To explain one factor I stated that dollar cost averaging (i.e. regularly investing a set amount) usually hinders performance due to volatility. Since that’s contrary to the industry’s multi-decade teachings, my over-simplification and over-statement triggered a lot of confusion and many questions. Accordingly, I thought the topic deserved a column of its own.
Elusive advertised returns
Investors have long been frustrated by their mutual fund returns because they almost always lag the performance advertised for the identical funds. To have experienced advertised performance, you’d have to have bought at the beginning of the period advertised and held through to the end with no interim trading. But the vast majority don’t invest this way.
Most people don’t have the luxury of a single large sum to invest today. The best most can do is invest money when it is available. As David Chilton first popularized twenty years ago, pay yourself first with regular fixed-dollar investments – i.e. dollar cost averaging.
Dollar-cost averaging (DCA)
DCA’s main benefit is the prioritization of saving that it imposes on investors – key to long term wealth accumulation. Many have also long portrayed DCA as a no-brainer way to exploit market volatility – a notion that I challenge.
When prices fall, your fixed dollar investment buys more shares or mutual fund units. In periods of rising prices, the same dollar amount buys less. DCA is usually framed as a way to realize better returns than simply betting a large amount on one purchase date – i.e. lump sum investing – but this rarely happens over the long term.
DCA investing is a terrific way to build capital and I use it myself. DCA produces better percentage returns when the average price paid for an investment is less than the price paid with a lump sum. (Note, however, that even in this scenario, lump-sum investing often results in a higher dollar accumulation because it keeps more money invested for a longer period of time.) Given enough time and a growing investment, DCA investing is likely to underperform – but this isn’t always the case.
The performance difference between DCA and lump-sum investing is influenced by time, volatility, the direction of returns and the sequence of returns.
Investor returns
The first table below (click to enlarge) shows return calculations for lump-sum investing (LS) vs. dollar-cost averaging (DCA) for three asset classes over selected time frames.
Since Canadian stocks and bonds produced roughly the same total returns for the five years through October 31, 2011 – but with very different volatility levels – this is a good starting point for a comparison.
Note how investing in volatile Canadian stocks through a DCA strategy did not work well over this recent five-year period. More specifically, DCA investing fell short of LS investing by 2.1 percentage points annually. By contrast, DCA investing in Canadian bonds over the same period yielded the opposite result – a return of 70 basis points annually in excess of investing a lump sum five years ago.
But notice how the third scenario in the above table – U.S. stocks for the decade through October 31, 2010 – saw DCA investing produce 2.9% per year in excess returns (compared to lump sum investing) despite high volatility. This is due to the fact that this time period for U.S. stocks began with more than two years of mostly negative returns, ending that decade roughly where it began.
Sequence of returns
The sequence of investment returns is an often-cited risk when drawing down investments (i.e. in retirement) but it also impacts wealth accumulation. The sequence of returns doesn’t impact a lump-sum investing strategy but it can make or break a DCA strategy. The table below replicates the above scenarios but with monthly returns ranked in order from lowest to highest for the same period. This scenario makes DCA investing shine. While unrealistic, this illustrates the power of such an extreme return path.
Similarly, the next table shows the opposite – i.e. the same five-year period but with monthly returns ranked from highest-to-lowest. This makes DCA investing a train-wreck of sorts, though again reality is unlikely to ever be so extreme.
While sequence of returns is a strong force, volatility gives it its power. In a zero volatility investment (i.e. same return every day, week, month, etc.) the order of returns has zero influence on investor returns since both LS and DCA investing yield the same percentage return.
But add volatility to the mix and the differences grow significantly. And the higher the volatility the more likely DCA investors are to fall short of lump-sum investors. Finally, the longer the investment time horizon, the more likely the investment may be to rise significantly enough to make DCA’s percentage returns inferior to lump-sum investing.
Academic support
The notion that DCA investing results in a long-term performance drag was validated in “Buy High, Sell Low: Timing Errors in Mutual Fund Allocations“, by Stephen Nesbitt, Fall 1995, The Journal of Portfolio Management. While it wasn’t his main focus, Nesbitt’s paper contains a table showing returns of a LS strategy and a DCA strategy for 17 fund categories. Fourteen of the seventeen categories saw lower returns for DCA scenarios than for a lump-sum (LS) investment from December 31, 1983 through August 31, 1994.
DCA investing remains the best way for the vast majority of investors to accumulate wealth. An awareness of the above factors can help avoid the performance drag that often results from DCA investing so that investors and their advisors can work to enhance investors’ long-term returns in the face of so many performance hurdles.









The academic support that you speak of is nothing more than a quirk of the particular time period investigated. It is true that DCA and lump-sum returns are different and that higher volatility tends to lead to larger differences. However, there is no persistent tendency for DCA returns to be below lump-sum returns. The odds of DCA losing to lump sum are actually just above 50%, but so close to 50% that it is almost a wash. The following claims just aren’t true:
“And the higher the volatility the more likely DCA investors are to fall short of lump-sum investors. Finally, the longer the investment time horizon, the more likely the investment may be to rise significantly enough to make DCA’s percentage returns inferior to lump-sum investing.”
See the following blog post for my own experiments on this subject:
http://michaeljamesmoney.blogspot.com/2011/12/mythical-volatility-drag-of-dollar-cost.html
Michael, I value your feedback since you are one of people who (publicly and privately) gave feedback that helped me see how poor and incomplete my prior explanation was – and prompted me to write a more focused piece.
I like your post on the subject. While you tested a huge number of scenarios, these are really just variations on the same twelve yearly data points. Reading through your second illustration I wonder whether a dozen data points is sufficient to meaningfully test this question.
But taking your results at face value, the notion that successful DCA investing is as likely as a coin toss paints a very different picture than the conventional thinking on this subject.
I used monthly returns largely because most people that use DCA (in my experience) invest monthly – which also provides many more return data points to use in the analysis. I didn’t include it in the article but I also looked at rolling periods for DCA vs. lump sum in U.S. stocks. I looked at U.S. stocks because I have monthly returns going back 140 years.
I just completed a proof that if we take the returns from any n periods and average out the results from all n! possible reorderings of the returns, then the DCA average will always come out better than or equal to lump sum no matter what the returns are or how many periods of time we use. I can’t see any way to account for your 5-, 10-, and 20-year results with 140 years of data other than maybe we are computing different things.
To take a trivial example, suppose that we have 3 time periods with returns of 10%, -10%, and 20%. I calculate the lump sum return to be 18.8% or 5.91% per year. For DCA assuming $1000 investments at the start of each year, I get a final value of $3468 for an IRR of 7.43%, giving DCA an edge of 1.52% for this example. If you get different values, then we will have the source of our difference.
Assuming each of your “time periods” are years, yes I get the same results. Yes, it’s certainly possible that we are doing something different enough computationally to account for different outcomes. But this is a topic that I never intended to delve into so deeply because it’s mostly academic – i.e. most people don’t have a big lump sum to invest and invest the money when they have it.
As a result I don’t think there is a lot of value (for me and our clients) in getting into such fine details. I only did this post because of the poor job I did in the context of my last post. So, I don’t intend to spend any more time on this than I already have. There are many more relevant topics that deserve attention.
Another example that was brought to me recently by a friend. They’ve been DCA-ing monthly into a global small cap fund for exactly 16 years. The fund’s time-weighted return (i.e. what you’ll see on GlobeInvestor) for the same period is 4.6% annually and has a standard deviation in the low-teens. The DCA return, dollar weighted, is half of that published return. Disappointing to say the least but again DCA is the most feasible way that most people will be able to save for things like retirement and a child’s education.
Okay, I checked some of the data referenced above re: 140 years of monthly U.S. stock return data. In my comment today at 3:06pm I originally had figures for the results of comparing LS and DCA using this long data series. I deleted that because it was wrong. Since some of these articles see lots of traffic I thought I should check the data thoroughly before posting specifics.
I have done this for rolling 3-year, 5-year and 10-year periods comparing LS and DCA investing. I have zero doubts left about this so have comfort is stating that DCA still loses in the majority of all of these rolling periods (about 55% of the time but far from the 90% rate quoted in my earlier comment – again none of this was in the article).
The median difference is similar to what I’d originally found, at 30-60 basis points annually in favour of lump sum investing. I have checked and double checked and triple checked this data because I wanted to put this issue to bed once and for all. The reality isn’t as one-sided against DCA as I originally thought. But this still paints DCA in a very different light than most have portrayed it. Most of the time, it’s worse than lump sum investing.
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