Five Cent Nickel recently wrote a post about making money in a flat market by investing through the decline. Nickel shows that if you dollar-cost-average into a fund (index or otherwise) and the market declines, then returns to its original point, you will have made money.
It’s an excellent post (and quite timely), but it only looks at one of three possible ”flat market” scenarios (the scenario in which the market starts at one point, declines, then comes back to where it started). If the opposite thing happens (ie, the market starts at one point, goes up, then comes back down), and you were dollar-cost-averaging into the market, you would have lost money. Why does it work that way?
Let’s Look at the Numbers.
When dollar-cost-averaging, the two things that determine whether or not you make money are:
- Your average cost per share.
- The ending price per share, and how it compares to your average cost per share.
Just by taking a quick glance at a hypothetical market chart, we can see how dollar-cost-averaging works in each scenario.
Scenario 1

This chart uses the numbers from Nickel’s original post. Even without doing any math we can see that, if purchases were made at each of the four points, the average cost per share purchased would be somewhere between the high point of $100/share and the low point of $66.5/share.
As a result, with an ending share price of $100/share, it’s obvious that the investor would have made money.
Scenario 2
This chart examines the opposite scenario: One in which the market starts at a point ($100/share), heads upward for a bit (to $150/share), then back down to its original price.
In this case, we can see that the average purchase price per share must be somewhere between $100 and $150.
With an ending price of $100/share, this investor has lost money.
Of course, real life isn’t very often like scenarios 1 or 2. That is, the market doesn’t seem to move in only one direction, then back to where it started. Typically, it’s all over the place (but slowly trending upward).
Scenario 3: Why Dollar-Cost-Averaging Really Works
Here we see a much more likely scenario, one in which the market moves both up and down over a given period. This time, we’ll actually have to do a little math to see what happens.
Let’s say our Oblivious Investor is happily dollar-cost-averaging into her index fund at a rate of $10,000 every year.
The first year, with a per share price of $100, her $10,000 buys her 100 shares.
In the second year, with a per share price of $150, her $10,000 only buys her 66.67 shares.
In the third year, with a per share price of $50, her $10,000 buys her 200 shares.
And at the end of the third year, the price returns to the original $100 per share. (So, still a “flat market.”) By this point, our Oblivious Investor has invested $30,000, and she owns 366.67 shares.
Dividing $30,000 by 366.67 shows us that her average per share price is just under $82. With a current market price of $100/share, our Oblvious Investor has made money. And this is in a flat market! It only gets better once we take into account the fact that (over time) stock market returns are positive.
Buy Low, Sell High (Without Even Trying!)
The reason dollar-cost-averaging works so well is that–if you invest steadily over a given period of time–your dollars will be able to buy more shares when the market is artificially low, and less when it is artificially high. In other words, you’ve set it up so that you’re automatically “buying low.” No need for complicated investing strategies. No need to try and time the market.
What about you? Have you had success with dollar-cost-averaging? Or if you’re new to this, do you know anyone who’s been DCA’ing into any funds for an extended period of time? If so, how’s it worked out?
October 28, 2008 5 comments