The Mathematics of Money

(Darren Dugan) #1

Copyright © 2008, The McGraw-Hill Companies, Inc.


465


Topic Key Ideas, Formulas, and Techniques Examples


Average Daily Balance, p. 420 • ADB is the weighted average of the daily
balances.


  • Set up a table as shown in the text to aid in
    the calculation.


Joanna has a credit card
whose billing period begins
on the 17th day of each
month. On July 17 her
balance was $815.49. She
made a $250 payment on
July 28. She also made
new charges of $27.55
on July 21, $129.99 on
August 5, and $74.45
on August 8. Find her
average daily balance.
(Example 10.1.1)

Credit Card Interest, p. 423 • Interest is calculated as simple interest on the
average daily balance.


  • ADB is used only to calculate interest; it is not
    the amount owed.

  • If payments are made in full within the grace
    period, interest may be waived altogether.


Suppose that Joanna’s
credit card (from
Example 10.1.1) carries
an interest rate of
15.99%. How much
interest would she owe
for the billing month
from Example 10.1.1?
What would her balance
be on her August 17
monthly statement?
(Examples 10.1.2
and 10.1.3)

Commissions, p. 425 • Card companies charge merchants fees
called commissions for accepting credit card
payment.


  • Commissions may be a fl at amount or a
    percent.


Tr avis bought a pair of
shoes for $107.79 and
charged them to his credit
card. The credit card
company charges the shoe
store 45 cents for each
transaction, plus 1.25% of
the amount charged. How
much will the credit card
company pay to the shoe
store? (Example 10.1.5)

Choosing the Best Deal, p. 425 • To choose the best deal, you must consider
whether the cost of a higher annual fee will
make up for the expense of a higher interest
rate.


  • The “best” choice depends on the average
    balance carried on the card.


How large a balance
would I need to carry to
prefer an $80 annual fee
with a 9% interest rate
over a $25 annual fee
with a 15% interest rate?
(Example 10.1.7)

CHAPTER 10
SUMMARY

(Continued)
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