Exam 13: Annuities Due, Deferred Annuities, and Perpetuities

Carla Craig invested a retirement gratuity of $17 570.00 in an RRSP paying 6.5% compounded semi-annually for 11.5 years. At the end of 11.5 years, she rolled the RRSP balance over into an RRIF paying $1500.00 at the beginning of each month starting with the date of rollover. If interest on the RRIF is 9.5% compounded monthly, for how long will Carla receive monthly payments?

The sale of property provides for payments of $4500.00 due at the beginning of every three months for five years. If the payments are deferred for two years and interest is 6% compounded monthly, what is the cash value of the property?

A lease valued at $47 600.00 requires payments of $4500.00 every three months. If the first payment is due 2 years after the lease was signed and interest is 6.88% compounded quarterly, what is the term of the lease?

How much extra interest do you gain by starting today rather than waiting one year if you want to deposit $1710 per year for 28 years? You are able to earn 7.07% compounded annually.

Gary and Sandra Duncan bought a property by making semi-annual payments of $4210.00 for 8.5 years. If the first payment is due on the date of purchase and interest is 8.53% compounded quarterly, what is the purchase price of the property?

An investment in a lease offers returns of $3713 per month due at the beginning of each month for 4.5 years. What investment is justified if the returns are deferred for two years and the interest required is 6.12% compounded monthly?

Mr. Caldwell received a retirement gratuity of $48 700.00, which he deposited in an RRSP. He intends to leave the money for 6 years, then transfer the balance into an RRIF and make equal withdrawals at the end of every six months for 25 years. If interest is 8.5% compounded semi-annually, what will be the size of each withdrawal?

The local high school soccer club need to borrow to finance a new soccer field. Repayment of the loan involves payments of $10 000.00 at the end of every three months for eight years. No payments are to be made during the development period of five years. Interest is 8% compounded quarterly. a) How much did the Achievers borrow? b) What amount will be repaid? c) How much of that amount will be interest?

Paul intends to retire in 15 years and would like to receive $8000.00 every 6 months for 20 years, starting on the date of his retirement. How much must he deposit in an account today if interest is 5% compounded semi-annually?

A contract valued at 60 000.00 requires payments of $3000.00 at the beginning of each quarter. If interest is 6% compounded quarterly, calculate the term of the contract.

Monica would like to receive $3760.00 at the end of every six months for 8 years after her retirement. If she retires ten years from now and interest is 6.5% compounded semi-annually, how much must she deposit into an account every six months starting now?

A lease requires semi-annual payments of $6100.00 for 7.5 years. If the first payment is due in 3 years and interest is 9.72% compounded monthly, what is the cash value of the lease?

Ford Oshawa sells Ford Fusion special edition for a price of $27 900. During a month long promotion, the manufacturer offers an interest rate of 1.8% compounded monthly on a 3-year lease. If the residual value is $14 500, what will be the lease payment at the start of each month with a $2500 down payment?

Jenni intends to retire in 50 years and would like to receive $3000.00 every month for 10 years starting on the date of her retirement. How much must she deposit in an account today if interest is 12% compounded annually?

Payments on a six-year lease value of a car at $27 175.00 are to be made at the beginning of each month during the last 3 years of the lease. If interest is 7.25% compounded monthly, what is the size of the monthly payments?

Calculate the present value of payments of $100.00 made at the beginning of each quarter for ten years if the interest is 6% compounded quarterly.

Equal sums of money are withdrawn monthly from a fund of $33 000.00 for 15.25 years. If interest is 9% compounded monthly, what is the size of each withdrawal if the withdrawal is made at the beginning of each month?

A lease requires payments of $1200.00 at the beginning of every quarter for ten years. If interest is 6% compounded monthly, calculate the value of the lease.

Siri plans to retire in 18 years and would like to receive $10 000.00 per month for twenty years starting at the end of the first month after her retirement. Calculate the amount he must invest now if interest is 4.9% compounded monthly.

Hector makes payments of $2000.00 into an RRSP at the beginning of every six months starting today for 33 years. If the interest rate is 8% compounded semi-annually, calculate the accumulated value.