Exam 12: Ordinary General Annuities

Deon makes monthly contributions of $250.00 at the end of every month into an RRSP. Calculate, to the nearest month, how long it will take to grow to $100 000.00 if interest is 8% compounded annually.

Note: The calculations for this question were done using Excel's RATE function. What nominal annual rate of interest compounded semi-annually is earned by quarterly deposits of $7327.00 made for six years if the balance just after the last deposit is $289 000.00?

Saba gets a year-end bonus in December every year before the Christmas. She plans to invest $1000 from the bonus at the end of every year into mutual funds RRSP, which are expected to grow at the rate of 8% compounded semi-annually. What will be the total value of her periodic investments after 25 years?

Jamal plans to retire in 17 years. He is saving $2000 every month in a retirement savings account paying him a long-term interest of 9% compounded semi-annually until retirement. The rate changes following the retirement. He wants $7000 per month paid to him for 20 years after the retirement. At what rate (semi-annually)should his savings account pay him to fulfill his dream? (Use the Rate function in Excel.)

The loan will have a term of 54 months and monthly payments of $385.13. The interest rate on the loan is 8.84% compounded quarterly. What is the amount of money that was borrowed?

You are to receive $16 700 from your trust fund in 7.5 years. You negotiate a deal where you can withdraw $350 per month starting 2.75 years before you can withdraw the remainder of the funds. You are able earn 4.18% compounded annually on your money. How much is your trust fund reduced to?

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 end of each month, how much interest is included in the future value of the annuity?

You make 4 semi-annual deposits starting at $350 and increasing at a constant rate of 2.14%. The interest rate is 5.12% compounded annually. How much has been deposited in total?

Mrs. Engleder has made deposits of $750.00 at the end of every six months for twenty-three years. If interest is 3.72% compounded monthly, how much will Mrs. Engleder have accumulated six years after the last deposit?

A $ 120 000.00 mortgage is amortized over 25 years. If interest on the mortgage is 8.5% compounded semi-annually, calculate the size of monthly payments made at the end of each month.

Conchita Martinez saves $17.25 at the end of each month and deposits the money in an account, paying 4.96% compounded quarterly. a)How much will she accumulate in 22 years? b)How much of the accumulated amount is interest?

A student bought a rental property for $40 000.00 down and monthly payments of $1000.00 for 5 years. What is the equivalent cash price if money is worth 5.75% compounded semi-annually?

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 end of each month, what will be the balance in the account at the end of the three-year term?

What is the accumulated value of deposits of $2000.00 made at the end of every year for three years if interest is 6.00% compounded quarterly?

A 21-year mortgage is amortized by making payments of $3052.61 at the end of every three months. If interest is 8.45% compounded annually, what was the original mortgage balance?

How much must be deposited at the end of each quarter for 5 years to accumulate to $27 000.00 at 6.84% compounded monthly?

Note: The calculations for this question were done using Excel's RATE function. What is the rate of interest compounded quarterly if a loan of $31 500.00 is repaid in seven years by payments of $2712.00 made at the end of every six months?

In order to purchase a truck Shandex Transport (ST)obtained a $50 000 loan for 5 years at 7.8% compounded semi-annually. The loan is structured to reduce the balance owing to $10 000 at the end of the 5 year period. How much are ST's payments at the end of each month?

Don turned 60 years old today and has retired from Hydro One. Current economic value of his pension is his significant asset. He will be receiving pension payments of $84 000 every year. Based on a 22-year life expectancy and money worth 8% compounded annually and money depreciating at 2% annually, calculate the current economic value of Don's pension.

Calculate the amount of money that must be deposited at the end of every month into an account paying 12% compounded annually to accumulate to $100 000.00 in ten years.