Solving the Myth of Rate of Return

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Published April 30, 2012

It remains the single most motivating factor for almost all investment decisions; yet many people are completely mistaken as to how rate of return really works. Using rate of return (ROR) as the primary way to evaluate the performance of an investment is practically universal. Early in our adult lives we become comfortable with the notion that the return provides a direct and accurate way to judge an investment’s value. Often, the pursuit of good returns leads us to change advisors, choose new allocations, or buy a given property.

It makes sense. The power of compound interest combined with a good return can solve a lot when it comes to building your nest egg for retirement. In my opinion, the interesting part is not our obsession with ROR; it is our understanding of it. To better understand rate of return, we must examine how misleading it can be during the two basic phases of retirement, the accumulation (or deferred growth phase) and the distribution (or income phase).

Let’s begin with the accumulation phase, which is the period of time when the account is growing without withdrawals in preparation for retirement. Most of us rely on a “long term” investment strategy in capital markets; we expect that if we invest for the long haul, the averages in the market will work in our favor. In fact, when I ask my clients what they expect for a long-term return, usually I hear 8 or 10%. More significantly, when I ask why they expect this rate, it is the same every single time: “because that is what the market averages.” So what exactly is the “average” anyway? Let’s examine the calculation.

You see, rate of return is actually comprised of two types of return: average return and actual return. The difference is simple: LOSSES. When calculating an average return, gains and losses are equal in weight. In other words, a +50% followed by a -50% leaves an average return of zero. This part is pretty straightforward. $100k invested would still equal $100k if you average zero. The interesting part comes when you calculate the actual return. Let’s take the same example and actually run the numbers; we’ll see what really happens. When you take $100k and apply +50%; your account will be worth $150k. Then take the $150k and -50%; now you only have $75k. That is a -25% loss from your original $100k. Why is this? Any time you have one year of losses your average return will not equal your actual return. Losses have greater weight and impact on your actual dollars than gains do.

Another way to look at it is to review the Dow Jones since 1930. If you add up every number and divide it by 81 years, the return “averages” 6.31%; however, if you do the math like we did above, you get an “actual” return of 4.31%. Why is this so important? If you invested $1,000 back in 1930 at 6.31% you would have $142k, at 4.31% you would only have $30k. As you can see from this example, the impact of evaluating average returns as the only measurement could be devastating. This, however, is only one part of the equation.

The second issue is how the distribution phase impacts your account value. In other words, for those of you who are going to live off of that nest egg, how do income distributions impact your rate of return?

Most of us understand that risks of losses are more severe as we get older, because we have less time to recover. While this is true, it is more important to note that the risks of losses are more severe as we get older because we are withdrawing money from our accounts.

Why is this so important? Because of something called the sequence of returns or the order of returns. While accumulating, it is inconsequential whether we had positive or negative returns first (reverse the order of the first example and you can see for yourself), but throw a distribution in there, and the whole thing changes.

Simply put, if you retire to negative years first (like many did in 01, 02, or 08) you will run out of money much sooner than if you get positive returns first regardless of the average return. The losses in the negative years are compounded by the distribution, requiring a much greater return to get back what you lost. The following example will show a hypothetical example of two investors, John and Susan.  John and Susan have both invested the same amount of money ($500K), have the exact same average rate of return (8%), and withdraw the exact same amount of money annually ($25K plus 3% for inflation). The only difference is the sequence of returns (specifically losses – which are highlighted in the example). In other words, no matter how accurate one may be in projecting an “average” return, it provides little assurance that retirement income goals will be met if the sequence or order of returns happens in an unfavorable way. Since the performance of the market in the years you happen to retire is out of your control, this poses a significant obstacle to an income plan.

John    Susan
Age Hypothetical stock market gains or losses Withdrawal at start of year Nest egg at start of year   Age Hypothetical stock market gains or losses Withdrawal at start of year Nest egg at start of year
64     $500,000   64     $500,000
65 -10.14% $25,000 $500,000   65 12.78% $25,000 $500,000
66 -13.04% $25,750 $426,839   66 23.45% $25,750 $535,716
67 -23.37% $26,523 $348,776   67 26.38% $26,523 $629,575
68 14.62% $27,318 $246,956   68 3.53% $27,318 $762,140
69 2.03% $28,138 $251,750   69 13.62% $28,138 $760,755
70 12.40% $28,982 $228,146   70 3.00% $28,982 $832,396
71 27.25% $29,851 $223,862   71 -38.49% $29,851 $827,524
72 -6.65% $30,747 $246,879   72 26.38% $30,747 $490,684
73 26.31% $31,669 $201,956   73 19.53% $31,669 $581,270
74 4.46% $32,619 $215,084   74 26.67% $32,619 $656,916
75 7.06% $33,598 $190,610   75 31.10% $33,598 $790,788
76 -1.54% $34,606 $168,090   76 20.26% $34,606 $991,981
77 34.11% $35,644 $131,429   77 34.11% $35,644 $1,151,375
78 20.26% $36,713 $128,458   78 -1.54% $36,713 $1,496,314
79 31.01% $37,815 $110,335   79 7.06% $37,815 $1,437,133
80 26.67% $38,949 $95,008   80 4.46% $38,949 $1,498,042
81 19.53% $40,118 $71,009   81 26.31% $40,118 $1,524,231
82 26.38% $36,923 $36,923   82 -6.56% $41,321 $1,874,535
83 -38.49% $0 $0   83 27.25% $42,561 $1,712,970
84 3.00%       84 12.40% $43,838 $2,125,604
85 13.62%       85 2.03% $45,153 $2,339,923
86 3.53%       86 14.37% $46,507 $2,341,297
87 26.38%       87 -23.27% $47,903 $2,630,297
88 23.45%       88 -13.04% $49,340 $1,978,993
89 12.78%       89 -10.14% $50,820 $1,677,975
  Average Return Total Withdrawal       Average Return Total Withdrawal  
  8.03% $580,963       8.03% $911,482  

The notion that average returns over the long run work in our favor has been at the cornerstone of the “buy and hold” strategy for years. It has become an unproven truth accepted by almost all of us. All the while, the topic of losses in the income phase of retirement has been almost entirely left out of the conversation, despite the fact that it could turn out to be the most important factor in determining how long your money will last. This lack of understanding has undoubtedly had devastating effects to many past financial plans. It is, therefore, of dire importance that we use this understanding to make future decisions that deal with these challenges.

You can read more from Erik Krom at www.redefiningyourretirement.com.

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