Exam 13: Annuities Due, Deferred Annuities, and Perpetuities

Siri plans to retire in 18 years and would like to receive $10 000.00 per month for twenty years starting at the end of the first month after her retirement. Calculate the amount he must invest now if interest is 4.9% compounded quarterly.

If you want to be able to set up a scholarship fund that will last forever and you feel that you can earn 4.8% compounded annually. How much money do you have to deposit today in order to be able to provide 6 scholarships of $3000 each?

Anne-Marie received $445 000.00 from her mother's estate. She wants to set aside part of her inheritance for her retirement 12 years from now. At that time she would like to receive a pension supplement of $2600.00 at the end of each month for 15 years. If the first payment is due one month after her retirement and interest is 3.6% compounded monthly, how much must Anne-Marie set aside?

Knowing that the education costs for her kids would be huge, Roberta puts lump sum money from her inheritance in a savings account paying an interest of 4.69% compounded semi-annually. If ordinary annuity payments of $1500.00 per month are to be paid out of the account at the end of the month for four years starting fifteen years from now, how much did Roberta deposit?

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

How much does a depositor have to save at the beginning of every three months for 15 years to accumulate $200 000.00 if interest is 4% 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 If the interest is 4.92% compounded monthly, what amount can be withdrawn 6 years after the last deposit?

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.

A sum of $15 700.00 is invested at 6.48% compounded semi-annually for eight years. After the eight years, the balance in the fund is converted into an annuity paying equal payments at the end of every 6 months for 5.5 years. If interest on the annuity is 7.95% compounded monthly, what is the size of the equal payments?

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?

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. What will be the size of his payments at the start of each month from the annuity for 20 years following his retirement?

Determine the accumulated value after 15 years of deposits of $9000.00 made at the beginning of every three months and earning interest at 8% compounded quarterly.

What deposit made at the beginning of each month will accumulate to $36 000.00 at 5% compounded quarterly at the end of eight years?

Robert Bernard deposited $1000.00 in a trust account on the day of his son's birth and every three months thereafter. If interest paid is 8% compounded quarterly, what will the balance in the trust account be before the deposit is made on the son's twenty-first birthday?

Mrs. Lavergne deposits $562.71 at the beginning of every three months. Starting three months after the last deposit, she intends to withdraw $587.00 every three months for 16 years. If interest is 8.14% compounded quarterly, for how long must Mrs. Lavergne make deposits?

Roxanne contributes $167.00 at the beginning of every six months into an RRSP paying interest at 8.9% compounded semi-annually. a) How much will her RRSP deposits amount to in 31.5 years? b) How much of the amount will be interest?

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?

Sagheer is setting up a fund to help his grandson's university education. He wants his grandson to be able to withdraw $3000 every 3 months for 3 years after he starts university. His first withdrawal will be 5 years from now. If the fund can earn 7.2% compounded quarterly, what single amount contributed today will provide for the withdrawal?

Sam got a job at the Brick. He plans to save $500 every month for 3 years to buy a car. The savings account earns 2.25% compounded semi-annually. If he puts the money in his savings account at the beginning of each month, what will be the balance in the account at the end of the three-year term?

A contract valued at $81 500.00 requires payment of $3350.00 at the beginning of every six months. If interest is 6.5% compounded semi-annually, what is the term of the contract?