Mortgage Analysis

Part I

You are planning to purchase a house that costs $480,000. You plan to put 20% down and borrow the remainder. Based on your credit score, you believe that you will pay 3.99% on a 30-year mortgage.

1. Use the function PMT to calculate your mortgage payment.
2. Calculate the total cost of the home purchase. (Down payment plus principal (loan amount) plus interest.)
3. Calculate how much interest you will pay in total?
4. Assume that you plan to pay an extra $300 per month on top of your mortgage payment, calculate how long it will take you to pay off the loan given the higher payment. (Use interest rate of 3.99%). Calculate how much interest you will pay in total? Compare this to the value that you calculated for #3.

Part II

You want to determine whether or not you should save some of your money and put only 10% down on your house. Because you are only putting 10% down, lenders require that you purchase private mortgage insurance (PMI). Assume that PMI is 1% of the mortgage amount. (How does PMI work? For example, on a $100,000 loan, 1%, PMI means you are paying and additional $1,000 a year or $83.33 a month)

5. Calculate your total monthly payment (mortgage payment plus PMI).
6. Calculate the total cost of the home purchase. (Down payment plus principle (loan amount) plus interest.)
7. Calculate how much interest and PMI you will pay in total?
8. What are the advantage and disadvantages between 20% down payment vs. 10% down payment and PMI? Which one do you pick? Please explain. (For this question, include a Memo that summarizes your analysis and outcomes in Excel.)

Below I will post the template how you suppose to do.

Part I

Inputs

House Cost

Down Payment

Loan Amount

Interest rate Annual

Interest rate Monthly

Loan Terms (Annual)

Loan Terms (Monthly)

1) Mortgage Payment

2) Total Cost

3) Interest Paid

4) $300 extra payments

New payment

N (months)

N (years)

Total Cost ($300 additional)

Interest Paid ($300 additional)

Interest Saved

Part II

Inputs

House Cost

Down Payment

Loan Amount

Interest rate Annual

PMI

Interest rate Monthly

Loan Terms (Annual)

Loan Terms (Monthly)

5) Mortgage Payment

PMI Payment

Total Payment

6) Total Cost

7) Interest and PMI paid

8) Memo:

Advantages and disadvantages of 20% down payment vs. 10% down payment + PMI payment. Which one do you pick? Please summarize.