.) Angela owes $500 on a credit card and $2,000 on a student loan. The credit ca

Question

.) Angela owes $500 on a credit card and $2,000 on a student loan. The credit card has a 15 percent annual interest rate and the student loan has a 7 percent annual interest rate. Her sense of loss aversion makes her more anxious about the larger loan. As a result, she plans to pay it off first--depsite the fact that professional financial advisors always tell people to pay off their highest-interest-rate loans first. Suppose Angela has only $500 at the present time to help pay down her loans and that this $500 will be the only money she will have for making debt payments for at least the next year. If she uses the $500 to pay off the credit card, how much interest will accrue on the other loan over the coming year? On the other hand, if she uses the $500 to pay off part of the student loan, how much in combined interest will she owe over the next year on the remaining balances on the two loans? By how many dollars will she be better off if she uses the $500 to completely pay off the credit card rather than partly paying down the student loan? (HInt: If you owe X dollars at an annual interest rate of Y percent, your annual interest payment will be X * Y, where the interest rate Y is expressed as a decimal.) View comments

Explanation / Answer

(a) Interest accrued on student loan of $2,000 = $2,000* 7% = $140

(b) Interest accrued if $500 used = $75 + ($1,500*7%) = $180

Thus, she is better off by $40 is she uses the $500 to completely pay-off the credit card

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