The Mathematics of Money

(Darren Dugan) #1

84 Chapter 2 Simple Discount



  1. Find the simple interest and simple discount rates for the loan illustrated by the following time line:


$17,357.19 $19,357.08
250 days


  1. A $10,000 T bill with 130 days until maturity is sold with a 5.01% simple discount rate. Find the proceeds.

  2. Faryal sold a note with a $20,000 maturity value, with a $1575 discount. Find her proceeds.

  3. Alfi e loaned Betty $3,000 for 200 days at 11% simple interest. Thirty days later he sold the note to Gemma with a 15%
    simple discount rate. How much did Gemma pay for the note?

  4. Virginia borrowed $3,500 for 100 days from Matta National Bank at 8.43% simple interest. Twenty days later, the bank
    sold the note to Po Financial at a 7¾% simple discount rate; 25 days after that the note was sold to NiVestment Corp
    with a 9.26% simple discount rate. What simple interest rate did Virginia actually pay?

  5. For the loan illustrated by the time line shown below, determine the (a) proceeds, (b) maturity value, (c) simple interest,
    and (d) simple discount.


$25,000 $32,500

5/7/08 12/4/10


  1. A $50,000 maturity value note with 100 days till maturity is sold at a 4.44% simple discount rate. Find the proceeds.

  2. A $10,000 maturity value note is sold for $9,899.43 with a 6.57% simple discount rate. What is the note’s remaining term?

  3. A $10,000 maturity value note is sold for $9,899.43 with a 6.57% simple discount rate. What is the equivalent simple
    interest rate? (Hint: Use the answer to Exercise 31.)

  4. Jessamyn is due an $824.15 tax refund, which she expects to receive on April 30. On March 17 her tax preparer offered to
    buy this refund by giving her $800 on the spot. What is the simple discount rate for this offer? What is the simple interest rate?

  5. Austin is due to receive a commission check for $1,845.17 in 9 days. He needs cash now. A business associate offers to
    give him cash now in exchange for the check when it is received. Austin would have to give up a fee of 1% of his check.
    What is the simple interest rate equivalent to this offer?

  6. Jersey Shore Financial Funding made a $10,000 loan to a small business for 300 days. The maturity value of the note
    was $10,850. Fifty days later, Jersey Shore sold the note to the Bank of Shamokin Dam for $9,795. What rate of simple
    discount was used for this secondary sale? What simple interest rate did the original lender earn?

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