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Business Mathematics Study Set 1
Quiz 7: Applications of Simple Interest
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Question 101
Short Answer
A contract requires payments of $750 in 100, and 200 days. What is the value of the contract today if the payments are discounted to yield 7.5% simple interest?
Question 102
Short Answer
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.)
Question 103
Short Answer
A contract requires payments of $1,000, $2,000, and $3,000 in 90, 120, and 150 days respectively, from today. What is the value of the contract today if the payments are discounted to yield a 6% simple interest rate of return?
Question 104
Short Answer
An investment promises two payments of $500, 90 and 150 days from today. What price will an investor pay today if her required rate of return is 6.5% simple interest?
Question 105
Essay
Sam has a $10,000 personal line of credit. The interest rate is prime + 2%. On the last day of each month, a payment equal to the greater of $200 or 4% of the current balance (including the current month's accrued interest) is deducted from his chequing account. On July 2, he withdrew $4,000 and another $3,000 on July 15. The prime rate during July was 3%. Prepare a loan repayment schedule for the month of July.
Question 106
Short Answer
Calculate and compare the issue date prices of $100,000 face value commercial paper investments with 30, 60, and 90-day maturities, all priced to yield 5.5% simple interest.
Question 107
Short Answer
If the average rate of return on 168-day Government of Canada Treasury bills sold at the Tuesday auction was 2.35%, what price was paid for a $100,000 face value T- bill?
Question 108
Short Answer
Lydia purchased a $100,000 150-day T-bill when the prevailing yield on T-bills was 4.5%. She sold the T-bill 60 days later when the prevailing yield was 4.2%. What simple interest rate did Lydia earn during the 60-day period? (Taken from CIFP course materials.)
Question 109
Short Answer
Sixty-day commercial paper with face value $100,000 was issued by a company for $98,890.25. What simple interest rate of return will be realized if the investment is held until maturity?
Question 110
Short Answer
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% simple interest.
Question 111
Essay
Sam borrowed $10,000 at prime + 2% on March 29. He agreed to payments of $2,000 on the first day of each month beginning May 1. The prime rate was 4% when Sam took out the loan. Construct a full repayment schedule showing details of the allocation of each payment to interest and principal. What is the final payment?
Question 112
Short Answer
Jake purchased a $100,000 182-day T-bill discounted to yield 5.5%. When he sold it 30 days later, yields had dropped to 5.0% simple interest. How much did Jake earn? (Taken from CIFP course materials.)
Question 113
Short Answer
The purchaser of a 168-day T-bill with a face value of $100,000 paid $98,929.92 for it. After 50 days, interest rates had increased and she sold the T-bill at 2.85% simple interest. What price did she receive for the T-bill?