Exam 9: Compound Interest - Future Value and Present Value

Keith took a loan of $20 000 to buy a car at an interest of 4% compounded quarterly, with no monthly payments. On first, second and third anniversary of the loan, he made payments of $5000. What payment on the fourth anniversary will eliminate the debt?

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.

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.

Determine the compound discount on $18 875 due in 7.75 years if interest is 9.72% compounded monthly.

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.

Fahira invested $5000.00 at 4.8% compounded quarterly on January 1, 2012. On July 1, 2013 the rate changed to 5.6% p.a. compounded semi-annually. Calculate the amount Fahira will have on January 1, 2005.

A twenty-year note for $1000.00 bearing interest at 9% compounded monthly is discounted at 5% compounded quarterly four years and six months before maturity. Find the proceeds of the note.

A ten-year promissory note dated April 1, 2011, with a face value of $700.00 bearing interest at 7% compounded semi-annually, discounted six years later when money was worth 8.5% compounded monthly. What are the proceeds?

An investment of $4300.00 earns interest at 9.96% p.a. compounded monthly for four years. At that time the interest rate is changed to 9% compounded semi-annually. How much will the accumulated value be two and a half years after the change?

Albert made investments of $1000 each for two years. The first one at an interest of 4.8% compounded monthly and the second at 4.9% compounded annually. Calculate the total value of his investment in two years.

You borrow $4750 at a rate of 6.72% compounded monthly. You make a partial payment of $1400 in 3 months. You also agree to make two equal payments 3 and 5 months after the partial payment. What is the size of the equal payments? Use a focal date of 8 months.

What is the discounted value of $9900.00 due in five years, seven months if money is worth 2.2% compounded quarterly.

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?

Find the compound amount of $5700.00 at 11.2% p.a. for seven years compounded monthly.

Use the exact method to determine the accumulated value of $3875.00 due in 61 months compounded annually at 9.75% p.a.

Arjun has taken a loan and debt can be repaid by payments of $425.00 today, $377.00 in two years and $560.00 in five years. What single payment would settle the debt three years from now if money is worth 6.25% p.a. compounded quarterly?

Find the present value and the compound discount of $7500 due in five years and six months if interest is 4.8% compounded quarterly.

Six years after Ellen deposited $4500 in a savings account that earned interest at 4.68% compounded monthly, the rate of interest was changed to 6.4% compounded semi-annually. How much was in the account thirteen years after the deposit was made?

Saeed has taken a loan such that debts of $4000.00, $4500.00 and $5000.00 are due in one year, eighteen months and two years from now respectively. He won a lottery and would like to make a single payment now that would settle the debts if interest is 5.99% p.a. compounded quarterly.

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.