Quote:
Originally Posted by itsamomentintime so where does the figure of 23.95% come from, if 1.805 X 12 is 21.66%? |
Hi,
Because the banks compound their interest monthly, you can't find the annual rate by multiplying the monthly by 12. Compounding is achieved by adding interest to your starting amount and the resulting total becomes your opening balancefor the next month, which then inturn has interest added to it, etc. (It probably makes mroe sense when you see it in the tabel below

).
It's really easy to find the annual rate - if you can't find it anywhere on your bank's literature (and providing you know your monthly rate

). Using £100 as your starting point in month 1, add 1.805% to that and you will get £101.81 - so you've earned £1.81 in interest. You then take £101.81 as your starting point in month 2, add 1.805% to that and you will get £103.64. The table below completes the process up to the end of 12 months:
1. £100.00 + 1.805% = £101.81
2. £101.81 + 1.805% = £103.64
3. £103.64 + 1.805% = £105.51
4. £105.51 + 1.805% = £107.42
5. £107.42 + 1.805% = £109.36
6. £109.36 + 1.805% = £111.33
7. £111.33 + 1.805% = £113.34
8. £113.34 + 1.805% = £115.39
9. £115.39 + 1.805% = £117.47
10. £117.47 + 1.805% = £119.59
11. £119.59 + 1.805% = £121.75
12. £121.75 + 1.805% = £123.95
So at the end of your year, by compounding, you have earned £23.95 interest on your original £100. And because you have used £100 as your starting point the end result is actually your annual rate as a percentage: 23.95%.
I hope this has helped. The reason I pointed it out is because 21.66% is not the rate that the banks will use when charging you interest, so if you're going for contractual it really has to be the rate that is in the contract. If you want to double check the rate then I'm sure you can easily contact your bank and get them to tell you if it's not shown on any of your statements or notices of being charged.
You won't need to explain how you achieved this rate to the banks as they will know full well it's their annual rate that they apply to your account. But obviously it's better to understand how the rates are achieved ourselves.
Good luck. Lucid
