Exam 10: Annuities: Future Value and Present Value

The Ottawa Senators fired their coach two years into his five-year contract, which paid him $90,000 at the end of each month. If the team owners buy out the remaining term of the coach's contract for its economic value at the time of firing, what will be the settlement amount? Use 7.5% compounded monthly as the time value of money.

Determine the present value of the ordinary annuity:

What amount could you borrow at 6.6% compounded monthly if you can afford to make monthly payments of $775 for 25 years?

Shawna is considering one of two options. The first option is to receive $1,800 per month for the first 5 years and $2,000 per month for the last 5 years based on an interest rate of 6.5% compounded monthly. The second option is to receive $145,000 now. Determine which option should be chosen to maximize benefits now.

Isaac wishes to purchase a 25-year annuity providing payments of $1000 at the end of each month for the first 15 years and $1500 at the end of each month for the remaining 10 years. If Isaac requires a minimum rate of return of 4.8% compounded monthly, what is the maximum price Isaac will be willing to pay for the annuity?

Determine the future value:

Ladner has a $8,000 loan earning 3.9% compounded annually. He plans to repay $450 per quarter over four years. Determine the loan amount remaining at the end of this period.

Mr. Smith has made payments of $1,250 at the end of each quarter into an RRSP for the last four years. Interest at 12% compounded quarterly was earned. He decides to leave the accumulated money in the RRSP for another two years and not make any further payments to his RRSP. How much money will he have in his RRSP two years from now if the interest rate remains the same?

Determine the amount of interest earned at the end of year 9 based on $3,000 annual payments received in years 1, 3 and 5 given an interest rate of 5.2% compounded annually.

Osgood Appliance Centre is advertising refrigerators for six monthly payments of $199, including a payment on the date of purchase. What cash price should Osgood accept if it would otherwise sell the conditional sale agreement to a finance company to yield 18% compounded monthly?

Sparky will invest $7,500 into his RRSP at the end of each year for 30 years. How much more money will he have in 30 years if he is able to earn 13% compounded annually rather than 11% compounded annually?

Kent sold his car to Carolynn for $2,000 down and monthly payments of $295.88 for 3½ years, including interest at 7.5% compounded annually. What was the selling price of the car?

Marge is planning to have a retirement income of $2,000 at the end of every month for the first 10 years that she is retired and then increase it to $3,000 per month for the next 20 years. If her retirement funds earn 7.8% compounded monthly, how much money must she have when she retires?

Annuity G has the same i and PMT as Annuity H. G has twice as many payments as H. Will G's future value be (pick one): (i) double, (ii) more than double, or (iii) less than double the amount of H's future value? Give the reason for your choice.

Determine the future value (accurate to the cent) of the ordinary general annuity:

Martina has already accumulated $32,000 in her RRSP. If she contributes $2,500 at the end of every six months for the next 12 years and $400 at the end of every month for the subsequent eight years, how much will she have at the end of the 20 years? Assume that her plan will earn 6% compounded semi-annually for the first 12 years and 6% compounded monthly for the last 8 years.

How much money would you have at the end of 10 years if you made deposits of $4,000 at the end of every three months into an investment that accumulated at 9% compounded quarterly?

What is the future value of a series of 15 annual payments of $750 starting in one year and earning 7% compounded annually?

At the end of every year for the next 45 years a trust fund has to pay out $250,000. The money in the fund will be earning 9% compounded annually for the first 25 years and 6% compounded annually for the last 20 years. In order to be able to make these payments, how much money would have to be in the trust fund now?

Determine the present value (accurate to the cent) of the ordinary general annuity: