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Remember, you can spend money, but you can't spend average rates of
return. Let's start with a simple example:
The starting value of an account is $10,000. The following year, the
account gains 100%. The investment is now worth $20,000. In year two,
the account loses 50% of its value. The investment is worth $10,000. In the
third year, the account rebounds with a 100% gain and the account value is
back to $20,000. In the fourth year, it loses 50%, bringing it back to its
original starting investment of $10,000.
Year Hypothetical Rate of Beginning Ending
Return Balance Balance
1 +100% $10,000 $20,000
2 (-50%) $20,000 $10,000
3 +100% $10,000 $20,000
4 (-50%) $20,000 $10,000
Let's evaluate the average rate of return versus the actual return. The
average rate of return is 25% (100% - 50% +100% - 50% = 100% divided
by 4 = 25% average), yet you only have your original investment of
$10,000. The actual return (the only return to care about) is zero! Where is
your 25% profit? This is why you can't spend average rates of return. Need
more proof?
Let's take a 20-year review from 1993-2012. The average rate of return of
the stock market was 9.92% (there's the magical 10% return everyone talks
about). Let's see if we can spend the average rate of return. We’ll use a
simple time value of money calculator.

