In this assignment we are going to determine how long it will take you to save enough money to

make the down payment given the following assumptions:

Call the cost of your first home total$\_$cost$.$

Call the portion of the cost needed for a down payment portion$\_$down$\_$payment. For

simplicity, assume that portion$\_$down$\_$payment $=0\mathrm{.}25(25\%).$

Call the amount that you have saved thus far current$\_$savings. You start with a

current savings of $$0.$

Assume that you invest your current savings wisely, with an annual return of $r($in other

words, at the end of each month, you receive an additional current$\_$savings$*\frac{1}{12}$

funds to put into your savings $-$ the $12$ is because $r$ is an annual rate$).$ Assume that your

investments earn a return of $r=0\mathrm{.}04(4\%).$

Assume your annual salary is annual$\_$salary.

Assume you are going to dedicate a certain amount of your salary each month to saving

for the down payment. Call that portion$\_$saved. This variable should be in decimal

form $($i$.$e$.0\mathrm{.}1$ for $10\%).$

At the end of each month, your savings will be increased by the return on your

investment, plus a percentage of your monthly salary $($annual salary $/12).$

Write a program to calculate how many months it will take you to save up enough money for a

down payment.Test Case $1$portion$\_$saved $=\mathrm{.}1$

total$\_$cost $=1000000$

total$\_$months $=$ calculate$\_$months$($annual$\_$salary, portion$\_$saved,

total$\_$cost$)$

print$("$Number of months:", total$\_$months$)$Output:

Number of months: $183$

Test Case $2$portion$\_$saved $=.15$

total$\_$cost $=500000$

total$\_$months $=$ calculate$\_$months$($annual$\_$salary, portion$\_$saved,

total$\_$cost$)$

print$("$Number of months:", total$\_$months$)$Output:

Number of months: $105$