Annuity as a Recurrence Relation (HSC SSCE Mathematics Standard): Quizzes

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Annuity as a Recurrence Relation
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What is an annuity?

Regular, repeated money contributions

What two components make up the future value of an annuity?

Total contributed + compound interest

What is the recurrence relation formula for an investment annuity?

Vn+1=Vn(1+r)+DV_{n+1} = V_n(1 + r) + D

What is the recurrence relation formula for a loan annuity?

Vn+1=Vn(1+r)DV_{n+1} = V_n(1 + r) - D

What is 12%12\% p.a. as a monthly interest rate in decimal form?

0.010.01

In the 4-year example, what is the investment value at the end of year 3?

AUD 3310

In the 4-year example, how much compound interest was earned in total?

AUD 641

What is 7.2%7.2\% p.a. as a quarterly interest rate in decimal form?

0.0180.018

Which sign does the payment DD have in a loan recurrence relation?

Negative (subtracted)

In Alyssa's example, what is the loan balance after 2 monthly payments?

AUD 506.23

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