Exam 13: Annuities Due, Deferred Annuities, and Perpetuities

What is the discounted value of deposits of $250.00 made at the beginning of every three months for 10.5 years if money is worth 6% compounded quarterly?

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?

What is the principal invested at 8% compounded semi-annually from which monthly withdrawals of $1000.00 can be made at the beginning of each month for 10 years but deferred for 3 years?

Mrs. Muirhead paid $27 700.00 into a retirement fund paying interest at 9.32% compounded semi-annually. If she retires in 13.5 years, for how long can Mrs. Muirhead withdraw $5 000.00 from the fund every six months? Assume that the first withdrawal is on the date of retirement.

The monthly rent payment on computer equipment is $30.00 payable in advance. What yearly payment in advance would satisfy the lease if interest is 12% compounded monthly?

You start to save for a major purchase. You can invest $500 every three months for 10 years. You are able to earn 8% compounded semi-annually. What is the amount of interest that you earn during the entire term?

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?

A lease agreement valued at $15 000.00 requires payment of $900.00 at the beginning of every quarter for five years. What is the nominal rate of interest charged (compounded quarterly)?

Determine the future value and the present value of monthly payments of $173.00 each for six years at 6.48% compounded monthly if a) the payments form an annuity due; b) the payments form an ordinary annuity.

Sean Paul makes deposits of $500.00 at the beginning of every three months. Interest earned by the deposits is 8% compounded quarterly. a) What will the balance in Sean's account be after ten years? b) How much of the balance will Sean have contributed? c) How much of the balance is interest?

At the beginning of every 6 months, $1280.00 is deposited for 8 years at 6.6% compounded monthly. After 8 years interest for the account is to be 9.66% compounded quarterly and the account is to be paid out by equal end-of-quarter quarterly payments over 6 years. What is the size of the quarterly payment?

How much does a depositor have to save at the beginning of every 6 months for twenty years to accumulate $1 000 000.00 if interest is 6.00% compounded semi-annually?