Perpetuities (VCE SSCE General Mathematics): Quizzes

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Perpetuities
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What is the key characteristic of a perpetuity?

Payments equal the interest earned

What type of loan do perpetuities relate to in the same way annuities relate to reducing balance loans?

Interest-only loans

What happens to the value of a perpetuity over time?

It remains constant

What is the key formula for perpetuity payments?

D=r100×p×V0D = \frac{r}{100 \times p} \times V_0

In the perpetuity formula, what does pp represent?

Compounding periods per year

In the perpetuity formula, what does DD represent?

Regular payment per compounding period

What monthly payment comes from 500,000 USD at 6% p.a. compounding monthly?

2,500 USD

How much must be invested at 4.8% p.a. monthly to withdraw 300 USD monthly?

75,000 USD

What interest rate allows 30,000 USD to pay 1,500 USD annually indefinitely?

5%

What three factors does the perpetuity payment depend on?

Interest rate, compounding freq, initial $

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