topic badge

6.07 Perpetuities

Interactive practice questions

Naushad wants to start a scholarship where the top student each year receives a $\$2000$$2000 prize. If the interest on the initial investment averages $5%$5% per annum, compounded annually, how much should his initial investment be?

Easy
1min

Farzad wants to make an ongoing donation of $\$1800$$1800 to World Vision each year. If the interest on the initial investment averages $3.75%$3.75% per annum, compounded annually, how much should his initial investment be?

Easy
1min

Anoush invests his superannuation payout of $\$810000$$810000 in a perpetuity that pays $4%$4% per annum, compounding annually. What is the size of the annual payment he will receive?

Easy
1min

Samih has just won a $\$7000000$$7000000 jackpot and decides to invest it in a perpetuity that pays $6%$6% per annum, compounding monthly. What is the size of the monthly payment he will receive?

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

4.1.3.2

solve problems involving annuities, including perpetuities as a special case, e.g. determining the amount to be invested in an annuity to provide a regular monthly income of a certain amount

What is Mathspace

About Mathspace