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Wealth
The Miracle of Compound Interest: Part 1
By Daniel Muniz
Can an investment of one penny make you a million dollars? And can
it be done within a month?
A penny is pretty insignificant. And even if you doubled its value,
twice of almost nothing is still pretty close to nothing.
But that’s
where the miracle of compound interest comes in.
Suppose I handed you a penny and then doubled it the next day. Now
suppose that I doubled your total value, not just the penny but the
sum of what you had and I did it for every subsequent day for around
a month. What would happen?
As some have rightly guessed, the answer is probably not very much.
That assertion is true but only in the beginning of such an
investment. But suppose the process is not interrupted but allowed
to continue unabated for the rest of the month.
Take a look at the table below and see what happens:
WEEK 1
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
0.01
0.02
0.04
0.08
0.16
0.32
0.64
The first seven days nothing significant occurs. It’s still chump
change since the total is not even a dollar. And in the second week,
even though the doubling value has reached into dollars, it is still
nothing spectacular. See below:
WEEK 2
Day 8
Day 9
Day 10
Day 11
Day 12
Day 13
Day 14
1.28
2.56
5.12
10.24
20.48
40.96
81.92
But now look at the third week. Something pretty amazing happens.
The increasing total is no longer chump change. Doubling your
investment every day now looks interesting.
WEEK 3
Day 15
Day 16
Day 17
Day 18
Day 19
Day 20
Day 21
163.84
327.68
655.36
1,310.72
2,621.44
5,242.88
10,485.76
Week four is when things get ridiculous. All of a sudden, we are
talking about serious money especially at the prodigious rate that
the investment keeps doubling at.
WEEK 4
Day 22
Day 23
Day 24
Day 25
Day 26
Day 27
Day 28
20,971
41,943
83,886
167,772
335,544
671,088
1,342,177
So at the end of the month this gets absurd because the numbers
are outrageous.
Of course there is nothing in the market that doubles your money
consecutively for every day of the month but that is not the point
of this exercise. The table vividly shows how compound interest
takes the sum of any given day and then turns it into a bigger
total. But it is the following day that really counts because that
total can be converted into even bigger amounts of a return on
investment.
However, instead of looking at this exercise for 30 days, now
imagine this process going on for 30 years or longer.
So in other words, a few decades can turn an investment of a nominal
sum of money into fabulous wealth.
Of course, the hard part is getting past weeks 1 and 2 because it is
fairly obvious that you are not making any headway. And that in
itself is perhaps the greatest psychological barrier for young
investors who don’t see the point of faithfully putting a portion of
“every” single paycheck into a productive retirement investment.
Even after a decade of consistent contributions, there will not be a
whole lot to show for it.
Nevertheless, the tipping point occurs at the third week of the
table when that small amount of money turns into serious cash. And
for the ordinary person, that moment can occur after twenty years of
continuous contributions to investments when 401ks, IRAs, stocks,
and the equity of a house begin to have a substantial value.
And finally, the remainder of the month of this table is just part
of that old adage that “it takes money to make money” and it is very
true because it takes a large sum of cash in order to generate even
larger sums. Now imagine after more than thirty years of investing a
part of every paycheck, the total size of your investments will have
swelled in size especially when you consider a completely paid off
mortgage which means more disposable income.
Admittedly, the real trick is being able to reach the third week of
this table so you can turn your small investment into a fortune. But
this is not rocket science. The development of wealth comes from the
earning power of compound interest. That is, taking what you have
earned and using it to produce more money.
Alas, that is the fatal flaw of a huge number of the population.
We live in a world of 401k loans and home equity loans. When you
start borrowing your own money, you rob yourself of that earning
power. All of a sudden, you have less of a mechanism to produce
income for you. Instead of money being socked away into your goose
that lays the golden eggs, you stopped feeding the goose.
Now I will be the first to confess that I have made 401k loans and I
have even temporarily stopped making contributions into my 401k
because things happen.
And just as someone can unleash the chain of events to create
gargantuan wealth this process works just as effectively in reverse.
See “Debt - Curse of Compound Interest: Part 2” for a vivid
illustration of how things can get out of control.
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