Exam 13: Annuities Due, deferred Annuities, and Perpetuities

If you save $150.00 at the beginning of each quarter for 20 years,for how long can you withdraw $800.00 at the beginning of each quarter,starting 20 years from now,and assuming that interest is 9% compounded quarterly?

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.

What is the principal invested at 6.5% compounded semi-annually from which monthly withdrawals of $840.00 can be made at the beginning of each month for 15.5 years but deferred for 2 years?

Judy paid for a living room suite over time,signing an installment contract that requires semi-annual payments of $2560.00 for 8.5 years.The first payment is made on the signing date and interest is 14.5% compounded semi-annually.What was the cash price?

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.

Payments of $500.00 are made at the beginning of each month for four years.The interest rate is 4.5% compounded monthly.If no further deposits are made a)Calculate the accumulated value twelve years after the first deposit. b)Calculate the amount deposited. c)Calculate the interest.

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?

Calculate the amount of money that needs to be invested today at 4.8% compounded semi-annually to provide monthly payments of $500.00 in perpetuity starting: a)one month from today b)one year from today

TJ invested a retirement gratuity of $43 000.00 in an income averaging annuity paying 7% compounded monthly.He withdraws the money in equal monthly amounts over five years.If the first withdrawal is made nine months after the deposit,what is the size of each withdrawal?

Whitby Honda advertised Honda Pilot for sale at $33 610.The same vehicle could also be leased for 5 years at $379 per month,based on $4310 down payment and a residual value of $10 711.What monthly compounded interest rate was built into the lease?

The sum of $59 760.00 is invested at 9.5% compounded monthly for four years.After the four years,the balance in the fund is converted into an annuity due paying annually $15 240.00.If interest on the annuity is 9.57% compounded annually,what is the term of the annuity?

Triad is considering a medical process that is expected to reduce annual costs by $43 000.00.What is the maximum amount of money that could be invested in the process to be economically feasible if interest is 7.44% compounded quarterly?

At the age of 75,Mrs.Walker decided to set up a trust fund for her grandson,which can take care of some of his expenses for the rest of his life.She made an initial contribution of $150 000 to set up the trust fund,which would make the first semi-annual payment of perpetuity to her grandson,5 years from now.If the funds in trust earn 5% compounded annually,what is the maximum payment the trust can make to Mrs.Walker's grandson in perpetuity?

Sundeep wants to withdraw $1000.00 at the beginning of each quarter for twelve years.If the withdrawals are deferred to begin ten years from now and interest is 4.5% compounded monthly calculate the amount that must be invested today to be able to make the withdrawals.

You start to save for a major purchase.You can invest $329 every three months starting today for 5 years and 9 months.You are able to earn 5.87% compounded semi-annually.What is the amount of interest that you earn during the entire term?

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 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?

Determine the accumulated value after 14.5 years of deposits of $172.00 made at the beginning of every 6 months and earning interest at 4.45% compounded monthly?

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

Payments on a six-year lease valued at $12 975.00 are to be made at the beginning of each month during the last 3 years of the lease.If interest is 9% compounded monthly,what is the size of the monthly payments?