Personal finance - WJECCredit cards and hire purchase

From opening your own bank account to managing your money successfully, you will learn to handle your personal finances carefully and ensure that you are always able to manage repayments for loans.

Part ofMaths Numeracy (WJEC)Number

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.

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.

A table showing the cost of a bike paid in instalments over 12 or 24 monthly payments

Questions

  1. How much would you pay for a bike on hire purchase that costs £480 over 12 months?
  2. How much would you pay for a bike on hire purchase that costs £1700 over 24 months?
  3. 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?

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 1Deal 2
No initial payment£40 upfront cost
£25 per month£22.99 per month
24-month contract24-month contract
Deal 1No initial payment
Deal 2£40 upfront cost
Deal 1£25 per month
Deal 2£22.99 per month
Deal 124-month contract
Deal 224-month contract