Analysing and Modelling Reducing Balance Loans and Annuities (VCE SSCE General Mathematics): Quizzes

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Analysing and Modelling Reducing Balance Loans and Annuities
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What is a reducing balance loan?

Loan w/ regular payments to reduce debt

In Vn+1=RVnDV_{n+1} = RV_n - D, what does DD represent?

Regular payment amount

What is the formula for the growth multiplier RR?

R=1+r100×pR = 1 + \frac{r}{100 \times p}

For monthly compounding, what is the value of pp?

p=12p = 12

Calculate RR for 13% annual interest with annual compounding.

R=1.13R = 1.13

Calculate RR for 15% annual interest with monthly compounding.

R=1.0125R = 1.0125

What is an annuity?

Investment w/ regular withdrawals

What is the key difference between loans and annuities?

Loans: owe money; Annuities: invested

Using a calculator, what does the first value displayed represent?

V0V_0

For V0=12000V_0 = 12000, Vn+1=1.005Vn2035V_{n+1} = 1.005V_n - 2035, calculate V1V_1.

10025

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