Questions:

Suppose that you plan to borrow $$20,000$ student loans to attend UM$-$Dearborn. You are considering borrowing the loan from SallieMae. SallieMae offers two options for the repayment of your loan. One is the deferred repayment option and the other is interest repayment option. The APR for the deferred repayment option is $5\mathrm{.}75\%$ and the APR for the interest repayment option is $4\mathrm{.}75\%.$ You plan to finish your undergraduate study in UM$-$Dearborn within four years. The two repayment options are described as below:

Deferred repayment option: You make no scheduled student loan payments for $4$ years while you are in school and in $1$ year of the grace period after you graduate. However, the unpaid interest every month will be added to your principal amount at the end of your grace period. After the grace period, the total amount your will pay will be equal to the principal you borrow and the accumulated unpaid interest. Each month you will be required to pay the same amount, which includes interest and the required principal repayment. You are required to completely pay off your loan within $10$ years after the grace period.

Interest repayment option: You pay interest every month when you are in school and in grace period. After the grace period, you will start to pay the principal of the loan. Each month you will be required to pay the same amount, which includes interest and the required principal repayment. You are required to completely pay off your loan within $10$ years after the grace period.

Please use Excel to work on the following questions:

Set up the loan amortization tables for the loans with these two different repayment options, respectively.

How much interest will you pay in total when you pay off your loan offered by these two different repayment options, respectively?

How much will you pay in total, including interest and principal, for these two different repayment options, respectively?