Exam 9: Compound Interest - Future Value and Present Value

Jenni started a registered retirement savings plan on January 1, 2008, with a deposit of $2000. She added $3000 on January 1, 2009, and $2000 on January 1, 2010. What is the accumulated value of her RRSP account on July 1, 2010, if interest is 12% compounded quarterly?

Find the future value of and the compound interest on $4575.00 invested at 12.24% compounded monthly for: a) 3.5 years b) 7 years c) 12.5 years

An obligation of $5150.00 due in 2.5 years is to be settled by four equal payments due today, nine months from now, 21 months from now, and 27 months from now, respectively. What is the size of the equal payment at 8.88% p.a. compounded quarterly?

Calculate the proceeds of $5500.00 due in 20 years, nine months discounted at 8.0% compounded semi-annually.

Ontario passed a law in 1996 that the names of all public servants earning $100 000 or more will be published starting 1997. What is the equivalent of that amount in 2013 assuming Ontario's recommended discount rate is 2.5% per year?

A debt payment in the amount of $2000.00 due today, is to be settled by a payment of $1500.00 nine months from now and a final payment in 18 months. Determine the size of the final payment if the money is worth 12% p.a. compounded quarterly. Use the Banker's Method.

You want to retire with $400 000 in the bank and you are able to earn 6% compounded quarterly for the next 25 years. How much money do you have to invest today in order to achieve your goal?

How much will a registered retirement savings deposit of $13 500.00 be worth in 11 years at 8.44% compounded quarterly? How much of the amount is interest?

Ontario passed a law in 1996 that the names of all public servants earning $100 000 or more will be published starting 1997. This year (2013), Ontario is planning to revise the amount to an equivalent purchasing power amount in 2014. What is the amount in 2014, beyond which the names of the Ontario's public servants should be published, assuming the recommended discount rate is 2.5% per year?

A ten-year promissory note discounted after seven years at 10% compounded quarterly has a maturity value of $40 000. Find the proceeds.

A debt can be repaid by payments of $1000.00 today, and $3000.00 in two years. What single payment would settle the debt three years from now if money is worth 16% p.a. compounded semi-annually?

Determine the discounted value now of $7700.00 due in forty-four months at 7.5% compounded quarterly.

Two payments of $49 000 each must be made 3 year and 5 year from now. If money can earn 4.9% compounded monthly, what single payment 3 years from now would be equivalent to the two scheduled payments?

Determine the proceeds of $5000 four years and nine months before the due date if interest is 8% compounded semi-annually.

Shaun wants to invest his money such that he accumulates $10 000 after 3 years at a rate of 4% compounded monthly? How much money should he invest today?

A debt of $4000 due today is to be settled by two equal payments due three months from now, and 9 months from now respectively. What is the size of the equal payments at 8% compounded quarterly?

Valeri invested $5000 at 9.25% compounded quarterly. After 18 months, the rate changed to 9.75% compounded semi-annually. What amount will Valeri have 3 years after the initial investment?

ICICI quotes nominal annual interest rate of 6.6% compounded annually, 6.5% compounded semi-annually and 6.4% compounded monthly on 5 year compound interest GICs. What rate should an investor choose?

Darcy's parents made a trust deposit of $3500.00 on October 31, 2002, to be withdrawn on Darcy's eighteenth birthday on July 31, 2016. To what will the deposit amount on that date at 13.48% compounded quarterly?

A debt of $5000.00 is to be repaid by payments of $2000.00 after two years, $2500.00 after three years and a final payment after five years. Determine the size of the final payment if interest is 10% p.a. compounded semi-annually.