Problem $5($

Saving Account$)$

$)$

Suppose that you put

$

$100$ into a savings account every month and don$$t withdraw any

pennies from it$.$ If the annual interest rate of saving is $5\%,$ then we can derive monthly

saving interest rate equal to $0$

$.$

$05$

$/$

$12=0$

$.$

$00417.$

$$

After first month, your saving account has

$$100$

$$

$(1+0$

$.$

$00417)=$ $$100$

$.$

$417$

$$

After second month, your saving account has

$($$$100+$ $$100$

$.$

$417)$

$$

$(1+0$

$.$

$00417)=$ $$201$

$.$

$252$

$$

After third month, your saving account has

$($$$100+201$

$.$

$252)$

$$

$(1+0$

$.$

$00417)=$ $$302$

$.$

$507$

$$

$...$

$$

After k$-$th month, your saving account has

$$100+$

The amout of

$($

k

$$

$1)$

th

month

$$

$(1+0$

$.$

$0041)$

Write a program name

compound

value.cpp

that reads from command$-$line arguments

three values:

A

$($float$),$

I

$($float$),$ and

M

$($int$).$ In which,

A

represents amount of money that

you put in saving account every month;

I

represents annual interest rate for saving account,

and

M

reprensents number of months. Compute and display the amount of money you saved

after

M

months.

Your program must report error message

"Invalid amount of money!"

if

A

$$

$0$ and

display the message

"Invalid number of months!"

if

M

$$

$0.$

Here are sample outputs when running the program from a terminal:

$/$workspace$/$csc$117/$hw$6$

$

g$++-$o src$/$compound$\_$value.out out$/$compound$\_$value.cpp

$

$./$out$/$compound$\_$value.out $1005\mathrm{.}05$

$4$

After $5$ months $,$ saved money$=$

$

$506\mathrm{.}285$

$

$./$out$/$compound$\_$value.out $1005\mathrm{.}010$

After $10$ months $,$ saved money $=$

$

$1023\mathrm{.}21$

$

$./$out$/$compound$\_$value.out $4004\mathrm{.}524$

After $24$ months $,$ saved money $=$

$

$10063$