7/7/19

The Darker Side of Personal Finance (Part 1) Dave Ramsey's 12% and the Difference Between Average and Compound Average


There are a lot of personal finance gurus out there that give sensible advice, that if followed, leads to a better life. But every once in a while they say something incredible and disingenuously false that ruins their credibility. One of those is Dave Ramsey and is 12% returns. You too can retire a millionaire. Just invest $100 per month in a good growth stock mutual fund that I recommend.

Dave Ramsey's 12% Returns

If you follow all of Dave Ramsey's advice to the letter you will be much better off financially, and probably as a person, than if you don't do any of the things he recommends. But one thing that he says that makes him less credible is that with "a good growth stock mutual fund" you will earn around 12% annually. Investing $100 a month into the fund for 40 years, say from the time you're 25 until the time you're 65, you will retire a millionaire.

Here is the claim on his website, where the data is from 1923 to 2016. The range may change by the time you read this as Ramsey's website is updated.

Putting aside the issue of the fees associated with the funds that Ramsey recommends and presumably gets a commission from, this is kind of disingenuous if you think about it.

Depending on the time frame that you pick, the S&P 500 has averaged around 12% annually. For example, from 1923 to 2016, a 93 year period, the S&P 500 has averaged an annual return of 12.5%. The key word here, however, is "averaged."

An average annual return is different from a compounded annual return.

Here's a simple example. Suppose a $10,0000 investment goes up 50% the first year and down 40% the next, and this pattern repeats every year. So, the investment grows to $15,000, then falls to $9,000, and so on:

Actual Investment

Year
Starting Value
Rate of Return
Ending Value
0
      10,000.00
50%
  15,000.00
1
      15,000.00
-40%
    9,000.00
2
         9,000.00
50%
  13,500.00
3
      13,500.00
-40%
    8,100.00
4
         8,100.00
50%
  12,150.00
5
      12,150.00
-40%
    7,290.00
6
         7,290.00
50%
  10,935.00
7
      10,935.00
-40%
    6,561.00
8
         6,561.00
50%
    9,841.50
9
         9,841.50
-40%
    5,904.90
10
         5,904.90
50%
    8,857.35


In the last year, the investment is valued at $8,857.35, for a total loss of $1,142.65 or 11.43%. The average annual return for this investment over the 11 years, however, is a positive 9%!

Let's say I'm trying to sell you this investment and I say, on average it returns 9% per year. That's true! But here's the disingenuous part. I say next, so if you put in $10,000, and you average 9% per year, your investment will be worth $23,673.64 in ten years:

Investment as Marketed

Year
Starting Value
Rate of Return
Ending Value
0
      10,000.00
9%
    10,900.00
1
      10,900.00
9%
    11,881.00
2
      11,881.00
9%
    12,950.29
3
      12,950.29
9%
    14,115.82
4
      14,115.82
9%
    15,386.24
5
      15,386.24
9%
    16,771.00
6
      16,771.00
9%
    18,280.39
7
      18,280.39
9%
    19,925.63
8
      19,925.63
9%
    21,718.93
9
      21,718.93
9%
    23,673.64

That's not true. Why? Because average and compound average returns are being conflated. But as you can see above, there's a big difference.

I'm not sure if Ramsey does it on purpose or not, but he makes the same conflation. He uses the historical average return of the market to forecast a compounded annual return. This makes his advice look much better than it is, and if you realize this you might start to question everything else he says.

So what are the real numbers?

From 1923 to 2016, the S&P 500 has averaged 12.25% per year. Investing $100 per month for 40 years would have produced a portfolio valued at $996,927.31 if the 12.25% were compounded.



The actual compound annual growth rate of the S&P 500 during this same period was 10.34%. That is seemingly not such a big difference from 12.25%, but it is huge (and is also why fees matter so much!).

Investing $100 per month for 40 years and having that compound at 10.34% would have yielded a portfolio of $587,779.81, which is a $409.147.50 difference from the advertised amount! And this doesn't factor in inflation or fees.



The saddest part for me is that this might reasonably lead one to conclude that Dave Ramsey is full of crap and that everything he recommends doing is worthless. I don't understand why he doesn't use the actual compound returns, they are even provided in the MoneyChimp calculator link on his website) and increase the monthly investment amount to compensate. A hundred dollars a month sounds a lot easier than three or four hundred, I guess.