Simple Interest
Objectives:
- Calculate the simple interest on a loan.
- Calculate the future value of a simple interest loan.
- Calculate the present value of a simple interest loan given
the future value.
- Calculate the payments for an add-on interest loan.
- Calculate the average daily balance for a billing period.
- Calculate the finance charges for a billing period.
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Vocabulary:
- present value
- principal
- future value
- interest rate
- simple interest
- loan amount
- maturity value
- add-on interest
- average daily balance
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Formulas:
- Simple Interest Formula:
- Simple Interest Future Value Formula:
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Possible
Classroom Examples:
- Find the simple interest of each of the loan amounts below:
- loan amount of $35,037 at 6% for 2 years
- loan amount of $8950 at for 10 months
- loan amount of $5682 at for 278 days
- Find the future value of $3670 deposited at 2 ¾ % for 7
years
- Find the maturity value of $2720 borrowed at 12 ¾ % for
275 days.
- Find the present value of a future value of $420 at simple
interest for 2 years
- How much must be deposited now at interest so that in 2 years and
7 months an account will contain $3,000?
- Sam Spade inherited $7,000. He wants to buy a used car, but the
type of car he wants typically sells for around $8,000. If his money
can earn interest, how long must he invest his money?
- Ray and Teresa Martinez buy a bedroom set at Fowler’s Furniture
for $3,700. They put $500 down and finance the rest through the store
at 9.8% add-on interest. If they agree to make 36 monthly payments,
find the size of each payment.
- The activity on Denise Helling’s Sears account for one billing
period is shown below. Find the average daily balance and the finance
charge if the billing period is March 1 through March 31. The previous
balance was $157.14, and the annual interest rate is 21%.
March 5
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payment
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$25.00
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March 17
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tools
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$36.12
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- The Clintons bought a house from the Bushes for $389,400. In lieu
of a 20% down payment, the
Bushes accepted a 10% down payment at the time of the sale and a
promissory note from the Clintons for an additional 10%, due in 4
years. The Clintons also agreed to make monthly interest payments to
the Bushes at 11% interest until the note expires. The Clintons
obtained a loan from their bank for the remaining 80% of the purchase
price. The bank in turn paid the sellers the remaining 80% of the
purchase price, less a sales commission (6% of the purchase price) paid
to the sellers’ and buyers’ real estate agents.
- Find the Clintons'
down payment.
- Find the amount that
the Clintons borrowed from the bank.
- Find the amount that
the Clintons borrowed from the Bushes.
- Find the Clintons'
monthly interest payment to the Bushes.
- Find the Bushes'
total income from all aspects of the down payment.
- Find the Bushes'
income from the Clintons' bank.
- Find the Bushes'
total income from all aspects of the sale.
© 2007 Elizabeth E. K. Jones and the
ASU
Department of
Mathematics and Statistics - All rights reserved.