# Compounding produces spectacular results, even at lower growth rates

YOU’RE 30 and have 30 years to go before your projected retirement at 60. An ultrarich benevolent uncle offers to fund your retirement in full. He gives you a choice:

• Option 1: For each of your 30 years to go, he’ll assign to you R1 million, resulting in a handsome lump sum of R30m in your bank account on your 60th birthday.

• Option 2: He’ll assign to you 10 cents in the first year, and double it each year for the 30 years, so that in the second year you’ll have 20c, in the third year 40c, and so on.

Which option would you choose?

The R30m option looks very appealing, until you do the maths on Option 2, which is 10c plus 10c multiplied by 2 to the power of 29 (which is 2 x 2 x 2 ... 29 times). This option will give you R53 687 091.30, or over R23m more than Option 1.

This is the marvel of exponential growth or, more specifically in this case, compound interest, which Albert Einstein called the most powerful force in the universe and the “eighth wonder of the world”.

Now nobody would expect their investment to double each year, which would be the equivalent of an annual return of 100%, but, even at lower rates of growth, compounding produces spectacular results.

POSITIVE EXPERIENCE

A few weeks ago, I wrote a couple of columns berating the life assurance industry for their old-generation investment products, quoting the poor return I had received on a contractual retirement annuity I took out many years ago. I invited readers with positive experiences of such investments to write in.

I received quite a few emails from readers who had had negative experiences, but I did receive one positive email, from Ian, a financial adviser, who wrote: “To be fair to the industry as a whole, I do think that you should occasionally tell a good story, as continually slating the industry chases away young potential investors, who, correctly advised, can benefit from sound investments.

“I quote two cases that I have recently had the pleasure of maturing:

• “The client took out an endowment with-profit on December 1, 1975 at R5 a month. There was no annual increase. Total contribution: R2 520. Total payment on maturity: R219 512.81.

• “A similar policy was taken out February 1, 1978 at R23.46 a month. Again, there was no annual increase. Total contribution:

R11 260.80. Total payment on maturity: R951 369.55.

“The point I’m trying to illustrate is that, if you enter into a contract at an affordable amount, and stay in the contract until maturity, the power of compound interest is amazing.

“I really hope that you will also assist potential clients by illustrating the positives that can come out of long-term regular saving.”

Thank you, Ian, for those examples of just how powerful compound interest is. And it is true that some people need the discipline imposed by a contractual investment to put away money for the long term.

Inputting Ian’s figures into the handy Personal Finance interest-onsavings calculator on our website (www.persfin.co.za), Client 1 achieved an average annual return of about 15%, after costs, and

Client 2 achieved an average return of closer to 16%.

Not too shabby.

martin.hesse@inl.co.za