Birmingham Post

Early maths lesson that could make you tens of thousands

- Trevor Law is managing director of Eastcote Wealth Management, chartered financial planners, based in Solihull. Email: tlaw@eastcotewe­alth.co.uk The views expressed in this article should not be construed as financial advice.

is said to have described compound interest as the eighth wonder of the world.

Adding: “He who understand­s it, earns it; he who doesn’t, pays it.”

The story may actually be apocryphal … but it makes for more than just a nice line because it underlies the basics of savings and debt.

Compoundin­g means that the returns on investment­s themselves become part of the investment­s and start generating returns.

In time, investment­s start generating disproport­ionately higher amounts, which makes a long-term strategy especially rewarding.

At its most simplest it can be construed as interest on interest – the so-called “miracle of compoundin­g”.

At the more complex, it comes as a mathematic­al formula and you can work it out yourself:

P = C (1 + r/n)nt

Where ‘C’ is the initial deposit, ‘r’ is the interest rate, ‘n’ is how frequently interest is paid, ‘t’ is how many years the money is invested and ‘P’ is the final value of your savings. Tools exist online that can do the calculatio­n for you.

The best way to take advantage of compoundin­g is to start saving and investing wisely as early as possible.

Value Research explains: “As your returns start earning, and then the returns on those returns start earning, the profits start piling up.

“Starting to save at the age of 30 instead of 50 can mean retiring with four times the wealth. The earlier you start investing, the greater will be the power of compoundin­g. If one has time to learn just one thing about investing, then this should be it.”

In similar vein, Equifax offers a hypothetic­al example: “If an individual was to start saving £100 a month at the age of 30 and continued until they were 60, they would have saved, with ten per cent annual interest, a sum of £217,132.11. However, if they started saving £100 a month at the age of 20, stopped when they were 30 and left the money in the account until they turned 60, they would have accumulate­d £367,090.06. The ‘magic’ of compound interest means that saving for ten years can be more profitable than 30 years, if it starts earlier.

“Real life cases can potentiall­y see a similar effect. In reality, other factors such as inflation, fluctuatio­ns in interest rates and withdrawal­s/ deposits will affect how your savings grow.”

Equifax goes on: “Although compound interest can provide huge benefits for savers, the concept also applies to interest paid on debt. When you make repayments on a credit card, you will be paying back interest on the original debt, but also on the interest that is accrued. In the same way that a small amount of savings can grow over time without additional deposits, a small debt can also grow without any further expenditur­e.

“The concept of compound interest is not that complex, but it is possible to underestim­ate just how big its effect can be.

“This may be a pleasant surprise when your savings grow faster than expected, but could mean that people taking on debt do not realise the total amount they will have to pay back, if making small repayments over many years.”

This is why experts will frequently say that if you are in a financial mess, then the first thing to get rid of is expensive credit card debt. Equally, on the other side of the coin, the advice to those struggling with the cost of living crisis is to avoid, if you can, stopping your pension contributi­ons, because it means you are losing out on the compoundin­g effect and may face a reduced income in retirement.

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