1. When you graduate you have $15,000 on your credit card which charges an APR o
ID: 2383816 • Letter: 1
Question
1. When you graduate you have $15,000 on your credit card which charges an APR of 14% compounded monthly. The credit card company tells you that your minimum payment is $232.90. If you make the minimum payment every month, how many months will it take you to pay off the entire balance (round up to the nearest month)?
2. After an injury, you win a lawsuit judgment of $3,586 per month starting next month for a total of 24 months. If the interest rate is 4.2% APR compounded monthly, what is the current equivalent lump sum of your settlement?
3. You borrow $6,205 from your parents after you graduate. You promise to pay them back over the next three years as 31 equal monthly payments starting one month from now. You set the interest rate on the loan as3.1% APR compounded monthly. How big are your monthly payments?
Please show the steps by using financial caculator, thanks!
Explanation / Answer
(1+14%)^n = 15000/232.90
(1.14)^n = 64.65
n = 31 Months
Hence, around 31 Months it will take to pay off the entire balance
2. Total Sum to be collected in three years = 3586*24 = 86064
Current equivalent lump sum amount = 86064/(1+4.2%)^2
= 79265.84
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