e$.$ Calculating the number of years required to double the population

Present value of ordinary annuity $($PV$)$

Future value of ordinary annuity $($FV$)$

#N$/$A

#N$/$A

g$.$ Recalculating the $PV$ and $FV$ for part $f$ if the annuity is an annuity due

Present value of annuity due $($PV$)$

Future value of annuity due $($FV$)$

h$.$ Recalculating the $PV$ and the $FV$ for parts a and $c$ if the interest rate is semiannually compounded

Future value $($FV$)$

Present value $($PV$)$

i$.$ Finding the annual payments for an ordinary annuity and an annuity due

Present value $($PV$)$

Discount rate $($I$)$

Number of years $(N)$

Annual payment for ordinary annuity $(PM{T}_1)$

Annual payment for annuity due $(($:$PM{T}_2\}$

j$.$ Finding the $PV$ and the $FV$ of an investment that makes the following end$-$of$-$year payments

Interest rate $($I$)$

Present value of investment $($PV$)$

Future value of investment $($FV$)$

#N$/$A

#N$/$A