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Contemporary Business Mathematics Study Set 1
Quiz 9: Compound Interest - Future Value and Present Value
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Question 61
Essay
A debt can be repaid by payments of $1000.00 today, and $3000.00 in two years. What single payment would settle the debt three years from now if money is worth 16% p.a. compounded semi-annually?
Question 62
Essay
Loans of $1600.00, $8300.00, and $12 100.00 are due now, in four years, and in seven years respectively. What is the equivalent single sum of money due three and a half years from now if interest is 10.8% compounded monthly?
Question 63
Essay
Scheduled debt payments of $1500.00 due seven months ago, $1200.00 due two months ago, and $1800.00 due in five months are to be settled by two equal payments now and three months from now respectively. Determine the size of the equal replacement payments at 9% p.a. compounded monthly.
Question 64
Essay
Use the exact method to compute the proceeds of a non-interest-bearing note for $5640.00 six years and seven months before the due date, if money is worth 7.25% p.a. compounded annually.
Question 65
Essay
On April 15, 2005, a ten-year note dated June 15, 2001, is discounted at 8.2% compounded quarterly. If the face value of the note is $4000.00 and interest is 7.2% compounded quarterly, find the compound discount.
Question 66
Essay
A ten-year note for $2220.00 bearing interest at 6.6% compounded monthly is discounted at 8.92% compounded quarterly four years and four months before maturity. Find the proceeds of the note.
Question 67
Essay
Debts of $850 due in six months, $700 due in sixteen months, and $1100 due in three years are to be settled by a single payment one year from now. What is the size of that single payment if interest is 7.5% compounded monthly?
Question 68
Essay
A twenty-year note for $10 000.00 bearing interest at 12% compounded monthly is discounted at 8% compounded quarterly four years and six months before maturity. Find the proceeds of the note.
Question 69
Essay
A debt payment in the amount of $2000.00 due today, is to be settled by a payment of $1500.00 nine months from now and a final payment in 18 months. Determine the size of the final payment if the money is worth 12% p.a. compounded quarterly. Use the Banker's Method.
Question 70
Essay
Four years and five months after its date of issue, a 7-year promissory note for $8900.00 bearing interest at 5.04% compounded monthly is discounted at 6.5% compounded semi-annually. Find the proceeds of the note using the exact method.
Question 71
Essay
Two debt payments, the first in the amount of $1600.00 due today, and the second in the amount of $7200.00 due in 15 months with interest at 9.6% p.a. compounded quarterly, are to be settled by a payment of $3400.00 nine months from now and a final payment in 21 months. Determine the size of the final payment if the money is worth 12.12% p.a. compounded monthly.
Question 72
Essay
A $4300.00 promissory note issued without interest for nine years on September 30, 2001, is discounted on July 31, 2006, at 8.32% compounded quarterly. Find the compound discount.
Question 73
Essay
Debts of $400.00, $450.00 and $500.00 are due in one year, eighteen months and thirty months from now respectively. Determine the single payment now that would settle the debts if interest is 8% p.a. compounded quarterly.
Question 74
Essay
An seven-year promissory note for $31 000 dated May 2, 2002, bearing interest at 8% compounded quarterly, is discounted on September 2, 2005, at 8.5% compounded semi-annually. Determine the proceeds of the note.
Question 75
Essay
A debt can be repaid by payments of $4125.00 today, $3770.00 in two years and $5600.00 in five years. What single payment would settle the debt three years from now if money is worth 9.88% p.a. compounded quarterly?