Question

You receive a credit card application from Shady Banks Savings and Loan offering an introductory rate of 1.25 percent per year, compounded monthly for the first six months, increasing thereafter to 17.8 percent compounded monthly.
Assume you transfer the $8,000 balance from your existing credit card and make no subsequent payments.

How much interest will you owe at the end of the first year?

Answer 1

Answer:

$793.70

Explanation:

The computation is shown below:

At introductory rate

The rate is 17.8% per year

And, in monthly, the rate would be

= 1.25% ÷ 12 months

= 1.4833%

Time is 6 months

Amount after 6 month would be

= Balance × (1 + interest rate)^ time period

= $8,000 × (1 +  0.1042%)^6

= $8,050.15

The interest after 6 month is

= $8,050.15 - $8,000

= $50.15

Now for increase rate to 17.8%

The rate is 17.8% per year

And, in monthly, the rate would be

= 17.8% ÷ 12 months

= 1.4833%

Time is 6 months

Amount after 6 month would be

= Balance × (1 + interest rate)^ time period

= $8,050.14 × (1 + 1.4833%)^6

= $8,793.70

The interest after 6 month is

= $8793.70 - $8,050.15

= $743.55

So, the total interest would be

= $50.15 + $743.55

= $793.70