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AustraliaVIC
VCE 12 General 2023

6.04 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

U3.AoS2.4

the use of first-order linear recurrence relations to model compound interest investments and loans, and the flat rate, unit cost and reducing balance methods for depreciating assets, reducing balance loans, annuities, perpetuities and annuity investments

U3.AoS2.9

use technology with financial mathematics capabilities, to solve practical problems associated with compound interest investments and loans, reducing balance loans, annuities and perpetuities, and annuity investments

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