An Example of Dollar-Cost Averaging

So I was goofing around with my own investment records when I realized that I had a great way of showing the advantage of dollar-cost averaging. As you may recall from the mutual fund primer, dollar-cost averaging lets you reduce the variance (to use a poker term) by spreading out your investment over time.

Here’s an example using some real world numbers (Vanguard 500 Index Fund). The following are share prices at the end of every quarter for two years.

Date        Price/Share
6/21/2002        $91.22 
9/27/2002        $76.37 
12/27/2002       $80.73 
3/28/2003        $79.69 
6/20/2003        $91.94 
9/26/2003        $92.08 
12/26/2003      $101.15 
3/26/2004       $102.30 

From June 2002 – March 2003, the price/share of the fund dropped 12.64%. So if you had taken your maximum $2000 IRA contribution and stuffed into this fund in June and looked at your balance in March, you would have been pissed off.

From June 2003 to March 2004, the fund’s price/share increased 11.27%. If you had put in $2000 in June and looked at your balance in March, you would have been pretty psyched.

Overall, from June 2002 to March 2004, this fund saw its share value go up by +12.15%. Your $4000 investment over two years would be valued at $4468 for a gain of 11.71%.

But what if you had practiced dollar cost averaging? That is, dividing your $2000 in fourths and investing it over the year?

Date        Price/Share        Trans. Amt       Shares
6/21/2002        $91.22          $500.00        5.4813
9/27/2002        $76.37          $500.00        6.5471
12/27/2002       $80.73          $500.00        6.1935
3/28/2003        $79.69          $500.00        6.2743
6/20/2003        $91.94          $500.00        5.4383
9/26/2003        $92.08          $500.00        5.4301
12/26/2003      $101.15          $500.00        4.9432
3/26/2004       $102.30          $500.00        4.8876

From June 2002 to March 2003, you would have seen a drop in the value of your investments of only -2.40% because 1/4 of your shares were purchased at the high price of $91.22, but the other 3/4 were purchased at lower prices (lower prices also translate into more shares).

From June 2003 to March 2004, you would have seen a gain in the value of your investments of only 5.88% because at least half of your shares were purchased at higher prices.

Overall, however, you would have seen a gain of 15.59% on your $4000 investment for a final value of $4,623.47 (remember, the lower prices enabled you to buy more shares during 2002-2003, which translated into more wealth when the fund price topped $100 in 2004).

This demonstrates that dollar-cost averaging not only works to reduce your risk, but in this particular example, allows you to outperform the index itself!

Renew your vehicle registration on the Internet

Just got back from the DMV with my new registration card and tags. This is my second trip to the DMV in one week. What a drag.

Back in January or February I got my registration renewal and smog check notice. I also got a ticket for not having a front plate. So I went to the DMV for new plates, went and got the smog check, and sent in my renewal with a check. I guess it never got processed because of the license plate change. I hope whoever designed the DMV’s computer system got his job outsourced to India.

How irritating. Not only did I have to pay a $58 late fee, but now I have to deal with two parking citations for having expired tags, thanks to Culver City ($10) and Los Angeles ($25).

Next time I need to renew my registration, I’m going to do it on the website. There’s a $4 charge, but that’s okay since it buys you peace of mind and less frustration.

Weekly results – June 24

Another down week.

CR +$3.95
EM +$1.30
ER +$0.60
JB +$2.45
JC -$5.00
Me -$3.30

Lost quite a bit of money to JB in one hand that I raised blind pre-flop. Three people called, giving him odds to call the raise, and really good odds post-flop for his straight draw, which he made on the turn.

At some point I was almost out and found myself heads up with JC, whom I beat with a straight on the turn. Several hands later we were heads up again and I won. Then he went out in a nice three way pot with CR and JB with the board showing a straight flush draw. River gave JC his king high flush, JB his ace high flush, and CR his 7 high straight flush.