Credit and debt: interest rates, credit scores and loans

Grade 12 Social Studies Worksheet - Building Confidence

Circle the best answer.

1. Read this first

   A $1,000 balance for one year (example figures, made up for practice)

   Plan	APR	Interest after one year	Balance after one year
   Plan A	10%	$100	$1,100
   Plan B	24%	$240	$1,240

   APR is the yearly cost of borrowing as a percent of the amount owed. This simple example uses no payments and no monthly compounding.

2. 1.

   Ari compares the two plans on the same $1,000. Which statement does the card support?

   • Plan B costs $24 more than Plan A, because APR is a flat fee on each loan.
   • Plan B costs $140 more than Plan A, because its APR is 14 points higher.
   • Plan A costs $140 more than Plan B, because a lower APR makes the lender charge more.
   • Plan B costs 14 times as much as Plan A, because 24 is 14 more than 10.
3. 2.

   Bo asks what the APR number measures. Which description fits the card?

   • The chance that a borrower pays late, so a 24% APR means 24 of 100 borrowers pay late.
   • The yearly cost of borrowing as a percent of the amount owed: 10% of $1,000 is $100.
   • A monthly fee the lender charges, so 10% of $1,000 is $100 each month of the loan.
   • The share of the loan that must be paid back right away, so 10% of $1,000 is due now.

4. Paying off a $600 card balance (example figures, made up for practice)

   Monthly payment	Months to pay off	Total interest paid
   $25	34	$226
   $50	14	$93
   $100	7	$46

   The card charges 24% APR, which is 2% a month on the balance still owed. There are no new purchases.

5. 3.

   Kira compares paying $25 a month with paying $100 a month. How much interest does the larger payment save?

   • $226: the whole amount of interest disappears when the payment is $100.
   • About $180: the interest falls from $226 to $46.
   • $46: the interest paid when the monthly payment is $100.
   • $75: the difference between the $100 payment and the $25 payment.
6. 4.

   Doubling the payment from $25 to $50 cuts the time from 34 months to 14. Which reason does Luz give?

   • Interest is charged on payments, so a bigger payment of $50 means a bigger share of it is interest.
   • 14 is less than half of 34, which is just a rounding effect of the $25 and $50 schedules.
   • In month one, interest of $12 takes nearly half of a $25 payment but under a quarter of $50.
   • The APR drops when the payment doubles to $50, so each month has less interest than before.
7. 5.

   Milo writes one claim from the table for a class debate. Which claim does the table support best?

   • A $25 payment pays the balance off at no extra cost, since the payment is small and steady.
   • The total interest is the same for each payment, since the APR is the same.
   • Paying $100 a month costs more in total, since the payments are bigger than the others.
   • Paying more each month shortens the payoff time and lowers the total interest.

8. Card

   a card rate and prices (made up for practice). A card charges 24% APR in a year when consumer prices rose 3%. The real cost of borrowing is about the APR minus the rise in prices.

9. 6.

   Which estimate of the real cost of borrowing does Noah get for that year?

   • About 21%: the 24% APR minus the 3% rise in prices.
   • About 8%: the 24% APR divided by the 3% rise in prices.
   • About 27%: the 24% APR plus the 3% rise in prices.
   • About 3%: the rise in prices is the true cost, and the APR is just a label.

10. Card

    Two loans (made up for practice). Loan 1 is a car loan; if the borrower stops paying, the lender may take the car. Loan 2 is a card balance; no property is pledged.

11. 7.

    Which statement does Pia find correct?

    • Loan 2 is secured by the card, so the lender can take the card holder's home if payments stop.
    • Loan 1 is secured by the car, so the lender can take it if payments stop; Loan 2 is unsecured.
    • Both loans are secured, since a borrower who stops paying faces some consequence.
    • Loan 1 is unsecured, since the car belongs to the borrower and not to the lender.

12. Card

    One extra $50 (made up for practice). An adult has a card balance at 24% APR and a savings account that pays 4%. The adult has $50 extra this month and wants the choice with the larger yearly gain in dollars. Ignore taxes and risk.

13. 8.

    Which comparison does Ren make for the extra $50?

    • Paying the card avoids 24% interest on $50, far more than the 4% that savings would earn.
    • The card, but just because debts must be paid before any money is saved.
    • Either one, because $50 is the same $50 whether it sits in a bank or goes to the card.
    • Saving it, because a safe 4% on $50 beats a debt that the lender will carry anyway.

14. A $1,000 balance for one year (example figures, made up for practice)

    Plan	APR	Interest after one year	Balance after one year
    Plan A	10%	$100	$1,100
    Plan B	24%	$240	$1,240

    APR is the yearly cost of borrowing as a percent of the amount owed. This simple example uses no payments and no monthly compounding.

15. 9.

    Tala reads the card for a school finance club. Which claim goes beyond what the card shows?

    • After one year Plan B's balance is $1,240 and Plan A's is $1,100.
    • Plan A will always be the cheaper plan for any borrower who needs a year of credit.
    • On a $1,000 balance with no payments, Plan B adds $140 more interest than Plan A.
    • Plan B's APR is 14 points higher than Plan A's APR.
16. 10.

    The card charges 24% APR, which is 2% a month on the balance still owed. There are no new purchases. A note says a minimum payment pays off a card quickly. Zee fixes it with the table. Which fix is correct?

    • At 24% APR, a $25 payment takes 7 months and $46 of interest to clear a $600 balance.
    • At 24% APR, a $25 payment does not clear a $600 balance, since interest takes the whole payment.
    • At 24% APR, a $25 payment takes 14 months and $93 of interest to clear a $600 balance.
    • At 24% APR, a $25 payment takes 34 months and $226 of interest to clear a $600 balance.