Exam 13: Annuities Due, Deferred Annuities, and Perpetuities

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?

Equal sums of money are withdrawn monthly from a fund of $33 000.00 for 15.25 years.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?

Equal sums of money are withdrawn monthly from a fund of $60 000.00 for 15 years. If interest is 12% compounded monthly, what is the size of each withdrawal if the withdrawal is made at the beginning of each month?

A rental property provides a monthly income of $1472.00 due at the beginning of every month. What is the cash value of the property if money is worth 7.32% compounded monthly?

Calculate the amount of money that needs to be invested today at 7% compounded semi-annually to provide monthly payments of $2000.00 in perpetuity starting: a) one month from today b) one year from today

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?

Determine the accumulated value after 13.5 years of deposits of $470.00 made at the beginning of every three months and earning interest at 7.2% compounded quarterly.

Quarterly deposits of $650.00 were made at the beginning of every 3 months for 11.25 years. If the interest is 4.92% compounded monthly, what amount can be withdrawn 6 years after the last deposit?

Payments of $1000.00 are made into a fund at the beginning of every month for 10 years. If the fund earns interest at 12% compounded monthly, what will the balance in the fund at the end of the term?

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?

A debt of $23 900.00 is repaid by making payments of $3617.00 at the beginning of every six months deferred for three years. If interest is 9.6% compounded monthly, for how long will payments have to be made?

A sum of money is deposited at the end of every month for 9 years at 8.5% compounded monthly. After the last deposit, interest for the account is to be 8.1% compounded quarterly and the account is to be paid out by end-of-quarter quarterly payments of $1800.00 over 7 years. What is the size of the monthly deposit?

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.

A lease requires monthly payments of $1150.00 due in advance. If interest is 16% compounded quarterly and the term of the lease is 4 years, what is the cash value of the lease?

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?

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?

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?

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.

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?

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?