Exam 7: Applications of Simple Interest

Joan has savings of $12,000 on June 1. Since she may need some of the savings during the next 3 months, she is considering two options at her bank. (1) An Investment Builder savings account earns a 0.25% rate of interest. The interest is calculated on the daily closing balance and paid on the first day of the following month. (2) A 90- to 179-day cashable term deposit earns a rate of 0.8%, paid at maturity. If interest rates do not change and Joan does not withdraw any of the funds, how much more will she earn from the term deposit up to September 1? (Keep in mind that savings account interest paid on the first day of the month will itself subsequently earn interest during the subsequent month.)

Bronwyn's $15,000 line of credit is at prime plus 2.5%. The minimum payment (the greater of $100 or 3% of the combined principal and accrued interest) is automatically deducted from her chequing account on the 15^th of each month. After the payment on August 15, her balance was $3,589.80. To reduce the loan faster, she makes an additional discretionary payment of $300 on the last day of each month. Each $300 payment is applied entirely to principal. Prepare a repayment schedule for the August 15 to November 15 period. The prime rate was at 6.25% on August 15 but dropped 0.25% effective October 11.

A savings account pays interest of 1.5%. Interest is calculated on the daily closing balance and paid at the close of business on the last day of the month. A depositor had a $2,239 opening balance on September 1, deposited $734 on September 7 and $627 on September 21, and withdrew $300 on both September 10 and September 21. What interest will be credited to the account at the month's end?

Debra paid $99,615 for a $100,000 T-bill with 30 days remaining until maturity. What (annual) rate of interest will she earn? (Taken from CIFP course materials.)

Duncan Developments Ltd. obtained a $120,000 line of credit from its bank to subdivide a parcel of land it owned into four residential lots and to install water, sewer, and underground electrical services. Amounts advanced from time to time are payable on demand to its bank. Interest at prime plus 4% on the daily principal balance is charged to the developer's bank account on the 26^th of each month. The developer must apply at least $30,000 from the proceeds of the sale of each lot against the loan principal. Duncan drew down $50,000 on June 3, $40,000 on June 30, and $25,000 on July 17. Two lots quickly sold, and Duncan repaid $30,000 on July 31 and $35,000 on August 18. The initial prime rate of 5% changed to 5.25% effective July 5 and 5.5% effective July 26. Prepare a repayment schedule showing loan activity and interest charges up to and including the interest payment on August 26.

A 6-month non-interest-bearing note issued on September 30, 2014 for $3,300 was discounted at 5.25% on December 1. What were the proceeds of the note?

Calculate missing value for the promissory note:

At the end of September Andy had $9,000 in his daily interest savings account. On the 12^th of October he withdrew $4,000. He made no other withdrawals or deposits in October. The interest rate throughout October was 4.2%. How much interest did Andy earn on this savings account in October?

Calculate missing value for the promissory note:

An investment promises two payments of $1,500, 120 and 150 days from today at a rate of 7%. What price will an investor pay today if her required rate of return is 6.5%?

A conditional sale contract requires two payments 3 and 6 months after the date of the contract. Each payment consists of $1,900 principal plus interest at 10.5% on $1,900 from the date of the contract. One month into the contract, what price would a finance company pay for the contract if it requires an 16% rate of return on its purchases?

Sarah's Canada Student Loans totalled $9,400 by the time she graduated from Red River College in May. She arranged to capitalize the interest on November 30 and to begin monthly payments of $135 on December 31. Sarah elected the floating rate interest option (prime plus 2.5%). The prime rate stood at 3.75% on June 1, dropped to 3.5% effective September 3, and then increased by 0.25% on January 17. Prepare a repayment schedule presenting details of the first three payments. February has 28 days.

Calculate the price of a $50,000, 91-day Province of Nova Scotia Treasury bill on its issue date if the current market rate of return is 4.273%.

An Investment Savings account offered by a trust company pays a rate of 0.25% on the first $1,000 of daily closing balance, 0.5% on the portion of the balance between $1,000 and $3,000, and 0.75% on any balance in excess of $3,000. What interest will be paid for the month of April if the opening balance was $2,439, $950 was deposited on April 10, and $500 was withdrawn on April 23?

Calculate missing value for the promissory note:

Commercial Paper with a face value of $1,000,000 issued at a discount rate of 7.5% has a term of 360 days. At what price was it issued?

Dr. Chan obtained a $15,000 demand loan at prime plus 1.5% on September 13 from the Bank of Montreal to purchase a new dental X-ray machine. Fixed payments of $700 will be deducted from the dentist's chequing account on the 20^th of each month, beginning October 20. The prime rate was 7.5% at the outset, dropped to 7.25% on the subsequent November 26, and rose to 7.75% on January 29. Prepare a loan repayment schedule showing the details of the first five payments.

On a $10,000 principal investment, a bank offered interest rates of 1.45% on 270- to 364-day GIC's and 1.15% on 180- to 269-day GICs. How much more will an investor earn from a 364-day GIC than from two consecutive 182-day GICs? (Assume that the interest rate on 180- to 269-day GICs will be the same on the renewal date as it is today. Remember that both the principal and the interest from the first 182-day GIC can be invested in the second 182-day GIC.)

Mayfair Fashions has a $90,000 line of credit from the Bank of Montreal. Interest at prime plus 2% is deducted from Mayfair's chequing account on the 24^th of each month. Mayfair initially drew down $40,000 on March 8 and another $15,000 on April 2. On June 5, $25,000 of principal was repaid. If the prime rate was 3.25% on March 8 and rose by 0.25% effective May 13, what were the first four interest deductions charged to the store's account?

A $100,000, 91-day Province of Ontario T-bill was purchased for $98,527.62. It was then sold for 4.8%. What profit was realized on the sale?