Please use python. Problem $3$: creating an amoritization schedule. Supposed that $$1000$ is borrowed at the beginning of the year. The loan is charged interest at an annual interest rate of $5\%.$ The borrower will repay the loan by making payments of $$150$ at the end of the year until the loan is repaid. Note that when the final payment is made, the balance will be less than $$150,$ and so a partial payment will be made at that time.

Perform the following steps in a single code cell.

$1.$ Create variables named balance, i$,$ and pmt to store the intial loan amount, annual interest rate, and annual payment amount mentioned in the paragraph above. Also create a variable n to track the number of payments.

$2$ Using a while loop to perform the tasks described below. The loop should continue to execute for as long as the balance of the loan is greater than $0.$

$$ Increase the number of payments that have been made by $1.$

$$ Calculate the new balance. This will be done by multiplying the current balance by $1+$i$,$ and then

subtracting the payment amount. Store the result back into balance, rounded to $2$ decimal places.

$$ If the new balance is less than $0,$ then calculate the the final payment amount. This will be equal to the

new balance plus the payment amount. Then set the balance to $0.$

$$ Print the message below, with the xxxx symbols replaced with the appropriate values. Match the

format exactly.

The balance at the end of year xxxx is $xxxx$.$

The first two lines of output should appear as shown below:

The balance at the end of year $1$ is $$900\mathrm{.}00.$ The balance at the end of year $2$ is $$795\mathrm{.}00.$

No lists should be created for this problem, and only one loop should be used.

Use a new code cell to print the final payment amount with a message as shown below:

The amount of the final payment will be $xxxx$.$