solve this question the same way:

A loan is amortized over $17$ years with monthly payments at a nominal interest rate of $0\mathrm{.}12$

compounded $12$ times per year. The first payment is $1000$ and is to be paid one month from the date

of the loan. Each succeeding monthly payment will be $9\%$ lower than the prior payment.

Calculate the outstanding loan balance immediately after the $72$th payment is made.

a$.$ $$21\mathrm{.}70$

b$.$ $$11\mathrm{.}25$

c$.$ $$12\mathrm{.}48$

d$.$ $$14\mathrm{.}06$

e$.$ $$19\mathrm{.}00$

Q$4)$

$i=\frac{0\mathrm{.}09}{12}=0\mathrm{.}0075$

siMT $=1000$

$B{d}_{24}=PMT{a}_{132-84}$

The balance atiter the ${48}^{th}$ payment is the $PV$ of the rematining payment

$\{\begin{array}{c}\text{:}=(1000)(0\mathrm{.}032177)(\frac{1-(\frac{0\mathrm{.}96}{1\mathrm{.}0075}{)}^{48}}{1-\frac{0\mathrm{.}96}{1\mathrm{.}0075}})=1515\mathrm{.}28\end{array}$

Q$5)$