Credit cards and hire purchase
Credit cards are another way of borrowing money. Credit cards normally tempt you in with 0% interest or low interest deals to begin with but the offers will stop after a certain time period. The rates of interest that credit cards return to are usually high.
Here is a credit card offer from a bank outlining a typical introductory deal:
Dear Carys,
It’s the perfect time to manage your finances with our longest balance transfer credit card offer.
BENEFITS AT A GLANCE:
- 0% interest for 12 months from account opening on balance transfers made in the first 90 days (3% fee applies)
- 0% interest on anything you buy for the first 6 months from account opening
To keep your promotional rates, you must stay within your credit limit and make your payments on time each month. Credit limits and interest rates vary and are based on your individual circumstances.
REPRESENTATIVE EXAMPLE:
Based on borrowing: £3,000 over 12 months
Representative 20% APR variable
Question
If Carys transferred £3,000 on the above deal and managed to pay 12 monthly payments of £30 but then lost her job, how much would be on her account by the end of the second year? You may assume she didn’t buy anything with her credit card.
The amount on Carys’ account by the end of the second year would be £3,276.
To work out the answer, it’s a good idea to break down the calculations into various steps:
1. How much will the fee be?
3% of 3,000 is \(\frac{3}{100}\) x 3,000 = £90
So her initial balance will be £3,090 when she opens her account.
2. How much has she paid off?
Carys has paid off the following amount: 12 × £30 as there are 12 months in a year.
She has paid £360 in all.
Her new balance is now £3,090 - £360 = £2,730
3. How much will the interest be?
Nothing for the first year as it is at 0%.
After the first year, the interest goes back to 20%.
20% of 2,730
10% = £273
20% = £273 × 2 = £546
Or with a calculator:
\(\frac{20}{100} \times {2,730}~=~{546}\)
4. How much is in Carys’ account by the end of the second year?
She owes £2,730 plus £546 interest, which is £3,276.
Hire purchase
Hire purchase is a way of buying items where the shop will arrange for a loan company to take an initial deposit from you and you will pay the balance in monthly instalments. This method of buying an item is usually used for buying more expensive items such as cars and bicycles. It is very important to note that this method of buying an item will always be more expensive than paying for the item in one go as you will always be paying some form of interest or charge.
Example
A shop offers hire purchase on the sale of bicycles. The initial deposit in each case is £100 and, dependent on the price of the bike, the monthly instalments vary.
Questions
- How much would you pay for a bike on hire purchase that costs £480 over 12 months?
- How much would you pay for a bike on hire purchase that costs £1700 over 24 months?
- How much is the hire purchase charge for a bike worth £1,700 over 24 months?
Answers
1. Hire purchase = deposit + total of monthly payments
= 100 + 40 × 12
= £580
2. Hire purchase = deposit + total of monthly payments.
= 100 + 24 × 100
= £2,500
3. Looking at the answer from the previous part of the question we see that the hire purchase price is £2,500.
If we take the original price of the bike away from this amount we will get the charge. £2,500 - £1,700 = £800.
If we worked out the hire purchase charge as a percentage of the original amount:
\(\frac{800}{1,700}\) × 100 = 47%.
We find out that we have been charged 47% interest in purchasing the bike this way.
Question
A flat screen 40” TV can be bought either for £400 cash or on hire purchase. The offer for hire purchase is a deposit of £40 and then 12 monthly instalments of £50. How much would the TV cost on hire purchase and how much is the charge for hire purchase?
Total hire purchase price = deposit + total of monthly payments.
= 40 + 12 × 50
= £640
Hire purchase charge: £640 - £400 = £240
Mobile phone deals
Mobile phone deals often work on a similar scheme to hire purchase. The loan is organised through the mobile phone company but, in addition to paying for the phone, you will also be paying towards the services they provide, eg data, free minutes etc. Sometimes you need to pay an initial deposit, then a fixed number of monthly payments.
Question
Carwyn has narrowed his options down to the following two mobile phone deals. Which is the cheapest over the contract time?
| Deal 1 | Deal 2 |
| No initial payment | £40 upfront cost |
| £25 per month | £22.99 per month |
| 24-month contract | 24-month contract |
| Deal 1 | No initial payment |
|---|---|
| Deal 2 | £40 upfront cost |
| Deal 1 | £25 per month |
|---|---|
| Deal 2 | £22.99 per month |
| Deal 1 | 24-month contract |
|---|---|
| Deal 2 | 24-month contract |
Deal 1: 24 × 25 = £600
Deal 2: 40 + (24 × 22.99) = £591.76
Deal 2 is cheaper by £8.24.