Posts Tagged ‘compound’

The Power of Compound Interest

April 17th, 2010

coins

Albert Einstein once said “The most powerful force in the universe is compound interest”. Is it really true? How powerful is it? Let’s find out.

First of all, have you ever heard about “Rule 72”? According to Investopedia.com, Rule 72 is:

A rule stating that in order to find the number of years required to double your money at a given interest rate, you divide the compound return into 72. The result is the approximate number of years that it will take for your investment to double.

How does it work?

  • If we put our money in an investment vehicle that generates 6% interest every year, we will double our money in 12 years (= 72 / 6).
  • If we are able to find an investment vehicle that generates 12% interest a year, then we will double our money in 6 years (= 72 / 12).

Now, we imagine we have $60,000 today. How long will it take to reach $1,000,000? Let’s use Rule 72 to find out. First, we need to double $60,000 to $120,000. Then, we need to double it from $120,000 to $240,000; then to $480,000 and finally to $960,000 –> which is close to $1 million. Basically, we need to “double” our money 4 times.

  • Interest of 3%: we need about 96 years
  • Interest of 6%: we need about 48 years
  • Interest of 8%: we need about 36 years
  • Interest of 12%: we need about 24 years
  • Interest of 20%: we need about 14.4 years

Note that all the calculations above are approximation. Rule 72 is also an approximation tool that allow us to calculate compound interest easily.

(Picture is from stock.xchng.)

Taking More Risks?

February 7th, 2010

I read about this comparison in an investment book quite some time ago. Unfortunately, I can’t remember which book. I borrowed it from a public library in Richmond, British Columbia.

Suppose that we have $10,000. We’ll compare two investment cases.

Case 1:

  • Invest $10,000 in an investment vehicle with an average return of 5% annually.
  • After 10 years, our money will grow to $16,288.

Case 2:

  • Divide $10,000 into 4 and invest them in 4 different investment vehicles with the following returns:
Principal Return (annually) After 10 years
$2,500 -100% $0
$2,500 0% $2,500
$2,500 5% $4,072
$2,500 20% $15,479
  Total $22,051
  • The first $2,500 is invested in a company that went bankrupt, so we lost everything.
  • The second and third $2,500 are invested in companies that did “so-so”.
  • The last $2,500 hit a “home-run”. The company did very well with the annual return of 20%.
  • After 10 years, our money will grow to $22,051.

As we can see, if we’re willing to take more risks, we’ll get higher return. Even if we lost everything in one of our vehicles, as long as we hit home-run in another vehicle, we should be more than fine.

The big question is, of course, how to hit the “home-run”…. :)

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