Exam 13: Annuities Due, Deferred Annuities, and Perpetuities

Beverley intends to retire in 7.25 years and would like to receive $2700.00 every month for 12.25 years starting on the date of her retirement. How much must she deposit in an account today if interest is 11.36% compounded annually?

Li buys a $100 000 life insurance policy, which requires an annual premium of $420 or a monthly premium of $37. In either case, the premium is payable at the beginning of the period of coverage. What is the effective rate of interest Li pays, if he chooses monthly payment plan?

Slick Sean contributes $500.00 at the beginning of each month into RRSP paying interest at 6.00% compounded semi-annually. What will be the accumulated balance in the RRSP at the end of 15 years?

Starting in 5 years and 6 months you want to be able to withdraw $950 every three months for 3 years and 3 months. You want to deposit a single amount immediately and then let it grow at a rate of 7.24% compounded quarterly. How much interest did you earn during the entire period of time?

Ellora wants to accumulate $150 000.00 in an RRSP by making annual contributions of $5000.00 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

Linda contributes $3000.00 at the beginning of every six months into an RRSP paying interest at 6% compounded semi-annually. a) How much will her RRSP deposits amount to in 15 years? b) How much of the amount will be interest?

Jawad makes semi-annual contributions of $2000 starting on his 27th birthday. How much will he accumulate in his RRSP by age 60, if RRSP earns 8% compounded semi-annually and no contribution is made on his sixtieth birthday?

The monthly rent payment on photo copier equipment is $671.00 payable in advance. What yearly payment in advance would satisfy the lease if interest is 6.84% compounded monthly?

Aaron Perry bought an income property for $41 321.00 three years ago. He has held the property for the three years without renting it. If he rents the property now, what should be the size of the monthly payment due in advance be if money is worth 6.24% compounded monthly?

Equal payments are to be made at the end of each month for 12 years with interest at 9.66% compounded monthly. After the last payment, the fund is to be invested for 4 years at 6.82% compounded quarterly and have a maturity value of $27 600.00. What is the size of the monthly payment?

Sam received a lump sum of $135 000 as an inheritance from his great grandmother. He plans to invest them for 20 years in a long-term investment fund with an expected rate of return of 9% compounded monthly. After 20 years, what payment can he withdraw at the beginning of each month for 10 years?

How many months will it take to accumulate $17 897.20 at 5.87% compounded semi-annually, if $1140.00 is deposited in an account at the beginning of every 6 months?

Tom started his career with Oracle with an intention to retire in 25 years. When he retired, he started receiving $66 000.00 every 6 months for 15 years, starting on the date of his retirement. How much did Tom deposit deposit in an account at the start of his career, if interest is 9.25% compounded semi-annually?

Determine the future value and the present value of monthly payments of $200.00 each for five years at 12% compounded monthly if a) the payments form an annuity due; b) the payments form an ordinary annuity.

Jamal plans to retire in 17 years. He is saving $2000 every start of the month in a retirement savings account paying him a long-term interest of 9% compounded quarterly until retirement. The rate changes following the retirement. He wants $7000 per month paid to him at the start of the month for 20 years after the retirement. At what rate should his savings account pay him to fulfill his dream? (Use the Rate function in Excel)

What semi-annual payment must be made into a fund at the beginning of every six months to accumulate to $4800.00 in ten years at 7% compounded semi-annually?

Sheila intends to retire in 14 years and would like to receive $2472.00 every six months for 9 years starting on the date of her retirement. How much must Sheila deposit in an account today if interest is 6.65% compounded semi-annually?

Dell Canada advertises a computer bundle including printer, router and home network attached storage for $2995. The same system bundle may be leased for 24 months at $130 per month, at the beginning of each month. At the end of the lease, the bundle may be purchased for 10% of its retail price. What is the economic cost of the lease or purchase in present value, if a two year loan can be obtained at 12% compounded annually to purchase the computer?

A debt of $140 000.00 is to be repaid in installments due at the end of each month for 15.5 years. If the payments are deferred for three years and interest is 7.28% compounded quarterly, what is the size of the monthly payments?

A vacation property was bought by making semi-annual payments of $7500.00 for seven years. If the first payment is due on the date of purchase and interest is 6% p.a. compounded quarterly, calculate the purchase price of the property.