When it comes to personal finance, I love to do the maths because it can be more revealing than just words and concepts alone, and I get a little excited over numbers.
Compounding is one of those interesting calculations. You may have seen this example before, but I think it illustrates compounding well.
What would you take? $10,000 in the hand today or 1 cent/penny doubled every day for a month.
If you choose to take the penny, this is how much you end up with after 31 days.
| Day 1 | 1c | Day 11 | 1,024 | Day 21 | 1,048,576 |
| Day 2 | 2 | Day 12 | 2,048 | Day 22 | 2,097,152 |
| Day 3 | 4 | Day 13 | 4,096 | Day 23 | 4,194,304 |
| Day 4 | 8 | Day 14 | 8,192 | Day 24 | 8,388,608 |
| Day 5 | 16 | Day 15 | 16,384 | Day 25 | 16,777,216 |
| Day 6 | 32 | Day 16 | 32,768 | Day 26 | 33,554,432 |
| Day 7 | 64 | Day 17 | 65,536 | Day 27 | 67,108,864 |
| Day 8 | 128c | Day 18 | 131,072c | Day 28 | 134,217,728 |
| Day 9 | 256 | Day 19 | 262,144 | Day 29 | 268,435,456 |
| Day 10 | 512 | Day 20 | 524,288 | Day 30 | 536,870,912c |
Day 31 ….$10,737,418.24
I admit that it’s an impossible example, but it I love the way it demonstrates the power of compounding. And while it may be a no brainer to some, the first time I read this it blew me away.
Take another slightly more realistic example. Just say that you decide to put away $50 a week for 18 years (as a uni fund, say) into an investment that gives an 8% return. At the end of the 18 years, you will have around $101,290. Just after the 16-year mark, the amount of interest earned will be higher than your contribution amount. (This example assumes that the interest rate remains at a constant 8% and does not account for fees or inflation.) Check out www.fido.gov.au for online calculators if you would like to run some calculations for yourself.
So compounding works in our favour when we invest and when we build our savings. The key factor is time.
But compounding can also work against us when we have debt. And again the key factor is time. Interest on loan compounds over time just as it does on savings, so the longer it takes to pay off a debt, the more interest you pay.
For example, a loan of $20,000 at an interest rate of 13% paid off over ten years will have monthly repayments of $298.62 and cost you $15,834.57 in interest over the term of the loan. Pay it off over 5 years and the monthly repayments will be $455.06 and it will cost you $7,303.69 over the term of the loan. This will save you $8,530.88 in interest.
I’ve written before about how you can drastically reduce your mortgage and save huge amounts of interest by making small extra payments. Using the snowballing and snowflaking methods of debt reduction will also save you interest and help fight the negative impact of compounding interest on debt.
There can be an additional benefit to saving money on the interest on outstanding debts, rather than investing the same amount. The interest saved is tax-free, and as interest rates on debt are often higher than returns on investments, the interest saved could end up being higher than an investment return over the same period.
Note: This information is general in nature and not tailored to your situation. It is not financial advice. You should consult a qualified expert and read and consider the Product Disclosure Statement of any financial product before deciding on a course of action.
Melissa Goodwin is a writer and the creator of Frugal and Thriving who has a passion for living frugally and encouraging people to thrive on any budget. The blog is nine years old and is almost like her eldest baby. Prior to being a blogger and mum (but not a mummy blogger), she worked as an accountant doing other people’s budgets, books and tax.
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