Question

Yankee Express is offering qualified customers a new credit card that offers an introductory rate of .5 percent per year, compounded monthly for the first 6 months, then increasing to 17.3 percent compounded monthly. Assume you transfer a balance of $6,300 from your existing credit card to Yankee Express, and make no subsequent payments. How much credit card interest will you owe at the end of the first year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer 1

Answer: $582.15

Step-by-step explanation:

Total amount owed in 6 months = 6,300 * ( 1 + 0.5%/12)⁶

= $6,315.77

Interest increases to 17.3%.

Amount owed at the end of the year:

= 6,315.77 * (1 + 17.3%/12)⁶

= $6,882.16

Interest owed = Amount owed end of year - Beginning balance

= 6,882.16 - 6,300

= $582.15