Present Value Annuities (Grade 12 NSC Matric Mathematics): Quizzes

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Present Value Annuities
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What best describes a present value annuity?

Regular equal payments to repay a loan

Which formula calculates present value of a series of payments?

P=x⋅[1−(1+i)−n]iP = x \cdot \frac{[1 - (1 + i)^{-n}]}{i}

What does xx represent in present value annuity formulas?

Regular payment amount

What is the typical prime lending rate used in calculations?

8.5% per annum

How do you convert annual rate to monthly for 9% p.a. compounded monthly?

Divide 0.09 by 12

In Kate's example, how much must she deposit initially for 3 annual R1000 withdrawals at 10%?

R2486.85

What was Andre's original student loan if he pays R1446.91 monthly for 18 months at 10.5% p.a.?

R24000

How is an outstanding loan balance calculated?

Present value of remaining payments

Which formula calculates the payment amount needed to repay a loan?

x=P×i[1−(1+i)−n]x = \frac{P \times i}{[1 - (1 + i)^{-n}]}

Why is money today worth more than money tomorrow?

Earning potential through compound interest

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