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6.06 Perpetuities

Interactive practice questions

Othman wants to start a scholarship where the top student each year receives a $\$4000$$4000 prize. If the interest on the initial investment averages $4%$4% per annum, compounded annually, how much should his initial investment be?

Easy
2min

Anousheh wants to make an ongoing donation of $\$4300$$4300 to World Vision each year. If the interest on the initial investment averages $2.15%$2.15% per annum, compounded annually, how much should his initial investment be?

Easy
1min

Asghar invests his superannuation payout of $\$220000$$220000 in a perpetuity that pays $6%$6% per annum, compounding annually. What is the size of the annual payment he will receive?

Easy
1min

Samih has just won a $\$5000000$$5000000 jackpot and decides to invest it in a perpetuity that pays $3%$3% per annum, compounding monthly. What is the size of the monthly payment he will receive?

Easy
1min
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Outcomes

ACMGM100

with the aid of a financial calculator or computer-based financial software, solve problems involving annuities (including perpetuities as a special case); for example, determining the amount to be invested in an annuity to provide a regular monthly income of a certain amount

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