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Contemporary Business Mathematics Study Set 1
Quiz 13: Annuities Due, Deferred Annuities, and Perpetuities
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Question 81
Essay
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 $5000.00 from the fund every six months? Assume that the first withdrawal is on the date of retirement.
Question 82
Essay
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?
Question 83
Essay
Erica intends to retire in 37.5 years and would like to receive $6600.00 every 6 months for 14 years, starting on the date of her retirement. How much must she deposit in an account today if interest is 6.25% compounded semi-annually?
Question 84
Essay
Joshua deposited $3560.00 at the beginning of every 6 months for 11 years into a fund paying 3.5% compounded semi-annually. Fourteen years after the first deposit he converted the then existing balance into an annuity due paying him equal annual payments for 22 years. If interest for the annuity due is 5% compounded annually, what is the size of the annual payment?
Question 85
Essay
An investment in a lease offers returns of $4000 per month due at the beginning of each month for 5 years. What investment is justified if the returns are deferred for three years and the interest required is 12% compounded monthly?
Question 86
Essay
The sale of property provides for payments of $10 000.00 due at the beginning of every three months for ten years. If the payments are deferred for five years and interest is 12% compounded monthly, what is the cash value of the property?
Question 87
Essay
An annuity provides payments of $4580.00 at the end of every three months. The annuity is bought for $53 500.00 and payments are deferred for 10 years. If interest is 9.72% compounded monthly, for how long will payments be received?
Question 88
Essay
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?
Question 89
Essay
Mr. Dawson wants to receive payments of $1230.00 at the beginning of every three months for 19 years starting on the date of his retirement. If he retires in 21 years, how much must he deposit in an account at the beginning of every three months if interest on the account is 6.84% compounded quarterly?
Question 90
Essay
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?
Question 91
Essay
Sandra intends to retire in 15 years and would like to receive $3000.00 every six months for 19 years starting on the date of her retirement. How much must Sandra deposit in an account today if interest is 8% compounded semi-annually?
Question 92
Essay
Fraser deposits $790.00 at the beginning of every three months. He wants to build up his account so that he can withdraw $1550.00 every three months starting three months after the last deposit. If he wants to make the withdrawals for 16 years and interest is 6.64% compounded quarterly, for how long must Fraser make the quarterly deposits?
Question 93
Essay
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.
Question 94
Essay
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?
Question 95
Essay
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?
Question 96
Essay
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?
Question 97
Essay
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?
Question 98
Essay
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?
Question 99
Essay
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?