JUNE IN DEPTH
So it's a month before you leave and you're seriously considering putting
a vacation on your credit card? Well, we looked at interest a little bit
in March. Now we'll look a little deeper.
Interest is often compounded or broken up and applied in smaller amounts.
Credit cards use compounded interest, so do banks, and almost every other
lending institution. Here's the deal: Annual interest rates are broken
down to smaller segments of time.
Compounded Monthly Interest Rate = Annual Interest Rate / 12
We saw this in March, where an annual interest rate of 8% became a
monthly rate of .667% (8% / 12). Then, each month a total balance was
added up and the interest rate applied. Set up similar tables to model
the following situations:
1. You buy a $2500 big screen TV for no money down at 15% annual
interest, compounded monthly, with no payments for the first six months.
Sounds like a good deal, but how much will you owe at the end of that
first 6 months? Create a table showing month number, current balance,
interest, and new balance for each month.
2. You put a $560 mountain bike on your credit card, which charges 16.8%
annual interest compounded monthly. The next month, you start paying $50
a month. How long until you pay that off, if you make no other charges?
Create a table showing month number, current balance, interest, payment
and new balance for each month.