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CanadaON
Grade 11

Modelling Annuities

Interactive practice questions

Iain invests $\$190000$$190000 at a rate of $7%$7% per annum compounded annually. At the end of each year he withdraws $\$14300$$14300 from the investment after the interest is paid and the balance is reinvested in the account.

We will use the financial solver on our CAS calculator to determine how long the annuity lasts.

a

Fill in the value for each of the following. Type an $X$X next to the variable we wish to solve for.

$N$N $\editable{}$
$I$I$%$% $\left(\editable{}\right)%$()%
$PV$PV $\editable{}$
$PMT$PMT $\editable{}$
$FV$FV $\editable{}$
$P$P$/$/$Y$Y $\editable{}$
$C$C$/$/$Y$Y $\editable{}$
b

At the end of which year will the annuity have run out?

Easy
3min

Carl invests $\$190000$$190000 at a rate of $12%$12% per annum compounded monthly. At the end of each month he withdraws $\$3900$$3900 from the investment after the interest is paid and the balance is reinvested in the account.

We will use the financial solver on our CAS calculator to determine how long the annuity lasts.

Easy
2min

Avril invests $\$190000$$190000 at a rate of $7%$7% per annum compounded annually.

We will use the financial solver on our CAS calculator to determine what Avril's annual withdrawal should be if she wants the investment to last $25$25 years.

Easy
2min

Victoria invests $\$190000$$190000 at a rate of $12%$12% per annum compounded monthly.

We will use the financial solver on our CAS calculator to determine what Victoria's equal monthly withdrawal should be if she wants the investment to last $20$20 years.

Easy
2min
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Outcomes

11U.C.3.6

Determine, through investigation using technology, the effects of changing the conditions of ordinary simple annuities

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