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Business Mathematics Study Set 1
Quiz 7: Applications of Simple Interest
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Question 41
Essay
What do you need to know to be able to calculate the fair market value of an investment that will deliver two future payments?
Question 42
Essay
If you purchase an investment privately, how do you determine the maximum price you are prepared to pay?
Question 43
Short Answer
For principal amounts of $5,000 to $49,999, a bank pays an interest rate of 0.95% on 180- to 269-day non-redeemable GICs, and 1.00% on 270- to 364-day non-redeemable GICs. Ranjit has $10,000 to invest for 364 days. Because he thinks interest rates will be higher six months from now, he is debating whether to choose a 182-day GIC now (and reinvest its maturity value in another 182-day GIC) or to choose a 364-day GIC today. What would the simple interest rate on 182-day GICs have to be on the reinvestment date for both alternatives to yield the same maturity value 364 days from now?
Question 44
Short Answer
Calculate the price on its issue date of $100,000 face value, 90-day commercial paper issued by G E Capital Canada if the prevailing market rate of return is 0.932 simple interest%.
Question 45
Short Answer
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 simple 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.)
Question 46
Short Answer
On a $10,000 principal investment, a bank offered simple 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.)
Question 47
Short Answer
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 simple 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?
Question 48
Short Answer
Suppose that the current rates on 60 and 120-day GICs are 1.50% and 1.75% simple interest, respectively. An investor is weighing the alternatives of purchasing a 120-day GIC versus purchasing a 60-day GIC and then reinvesting its maturity value in a second 60-day GIC. What would the interest rate on 60-day GICs have to be 60 days from now for the investor to end up in the same financial position with either alternative?
Question 49
Short Answer
An assignable loan contract executed three months ago requires two payments to be paid five and ten months after the contract date. Each payment consists of a principal portion of $1,800 plus interest at 5% on $1,800 from the date of the contract. The payee is offering to sell the contract to a finance company in order to raise cash. If the finance company requires a return of 10% simple interest, what price will it be prepared to pay today for the contract?
Question 50
Short Answer
Claude Scales, a commercial fisherman, bought a new navigation system for $10,000 from Coast Marine Electronics on March 20. He paid $2,000 in cash and signed a conditional sales contract requiring a payment on July 1 of $3,000 plus interest on the $3,000 at a rate of 8%, and another payment on September 1 of $5,000 plus interest at 8% from the date of the sale. The vendor immediately sold the contract to a finance company, which discounted the payments at its required return of 12% simple interest. What proceeds did Coast Marine receive from the sale of the contract?
Question 51
Short Answer
An assignable loan contract executed 3 months ago requires two payments of $3,200 plus interest at 9% from the date of the contract, to be paid 4 and 8 months after the contract date. The payee is offering to sell the contract to a finance company in order to raise urgently needed cash. If the finance company requires a 16% simple interest rate of return, what price will it be prepared to pay today for the contract?
Question 52
Short Answer
An agreement stipulates payments of $4,500, $3,000, and $5,500 in 4, 8, and 12 months, respectively, from today. What is the highest price an investor will offer today to purchase the agreement if he requires a minimum simple interest rate of return of 5.5%?
Question 53
Short Answer
A contract requires payments of $1,500, $2,000, and $1,000 in 100, 150, and 200 days, respectively, from today. What is the value of the contract today if the payments are discounted to yield a 3.5% simple interest rate of return?